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Innovative procedure to install a trunnion-hub assembly in a bascule bridge girder

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Title:
Innovative procedure to install a trunnion-hub assembly in a bascule bridge girder
Physical Description:
Book
Language:
English
Creator:
Berlin, Michael West
Publisher:
University of South Florida
Place of Publication:
Tampa, Fla.
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Subjects / Keywords:
bascule bridge design
data acquisition
finite element analysis
heat transfer
shrink fitting
solid mechanics
Dissertations, Academic -- Mechanical Engineering -- Masters -- USF
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government publication (state, provincial, terriorial, dependent)   ( marcgt )
bibliography   ( marcgt )
theses   ( marcgt )
non-fiction   ( marcgt )

Notes

Summary:
ABSTRACT: The current assembly procedure to install a trunnion and hub into a bascule bridge girder involves cooling the trunnion in liquid nitrogen and shrink fitting it into the hub. The resulting trunnion-hub assembly is then allowed to warm to room temperature. Next, the trunnion-hub assembly is cooled in the liquid nitrogen and shrunk fit into the girder. The cooling of the trunnion does not cause any problems, however, when the trunnion-hub assembly is cooled in the liquid nitrogen, the hub experiences a large thermal shock. These thermal shocks induce large stresses into the hub, which has been known to cause it to crack. This study investigates an innovative assembly procedure to install the trunnion-hub assembly into a bascule bridge girder. To avoid cooling the trunnion-hub assembly, the girder was heated instead. Laboratory testing and finite element analysis were used to determine if the girder could reasonably be heated to install the trunnion-hub assembly.An experiment was conducted to analyze the heating process that will be used. A rectangular steel plate ( 60"x60x"0.75") was used to model the girder in the lab. Inductance-heating coils were used to heat the steel plate to 350°F. The heating process was recorded using a data acquisition system with thermocouples and strain gages. ANSYS was the finite element analysis (FEA) program that was used to model the heating process of the plate. The FEA results from ANSYS were compared with the experimental results. This confirmed the parameters of the finite element analysis were correct. Those parameters were then used to model a full-scale girder. The feasibility of heating the girder was determined from the finite element analysis results. It was determined that heating the girder with 2250 BTU over min for 90 minutes, was sufficient energy for the assembly procedure to work.The girder was heated to a maximum temperature of 350°F and a 0.015" clearance was created for the assembly of the trunnion-hub. The finite element analysis of the girder showed that the placement of the heating coils on the girder was critical. Therefore this innovative assembly procedure can easily be accomplished, however, each girder must first be analyzed to determine the optimal heating configuration.
Thesis:
Thesis (M.S.M.E.)--University of South Florida, 2004.
Bibliography:
Includes bibliographical references.
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System requirements: World Wide Web browser and PDF reader.
System Details:
Mode of access: World Wide Web.
Statement of Responsibility:
by Michael West Berlin.
General Note:
Title from PDF of title page.
General Note:
Document formatted into pages; contains 174 pages.

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oclc - 57715556
notis - AJU6723
usfldc doi - E14-SFE0000525
usfldc handle - e14.525
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SFS0025216:00001


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ABSTRACT: The current assembly procedure to install a trunnion and hub into a bascule bridge girder involves cooling the trunnion in liquid nitrogen and shrink fitting it into the hub. The resulting trunnion-hub assembly is then allowed to warm to room temperature. Next, the trunnion-hub assembly is cooled in the liquid nitrogen and shrunk fit into the girder. The cooling of the trunnion does not cause any problems, however, when the trunnion-hub assembly is cooled in the liquid nitrogen, the hub experiences a large thermal shock. These thermal shocks induce large stresses into the hub, which has been known to cause it to crack. This study investigates an innovative assembly procedure to install the trunnion-hub assembly into a bascule bridge girder. To avoid cooling the trunnion-hub assembly, the girder was heated instead. Laboratory testing and finite element analysis were used to determine if the girder could reasonably be heated to install the trunnion-hub assembly.An experiment was conducted to analyze the heating process that will be used. A rectangular steel plate ( 60"x60x"0.75") was used to model the girder in the lab. Inductance-heating coils were used to heat the steel plate to 350F. The heating process was recorded using a data acquisition system with thermocouples and strain gages. ANSYS was the finite element analysis (FEA) program that was used to model the heating process of the plate. The FEA results from ANSYS were compared with the experimental results. This confirmed the parameters of the finite element analysis were correct. Those parameters were then used to model a full-scale girder. The feasibility of heating the girder was determined from the finite element analysis results. It was determined that heating the girder with 2250 BTU over min for 90 minutes, was sufficient energy for the assembly procedure to work.The girder was heated to a maximum temperature of 350F and a 0.015" clearance was created for the assembly of the trunnion-hub. The finite element analysis of the girder showed that the placement of the heating coils on the girder was critical. Therefore this innovative assembly procedure can easily be accomplished, however, each girder must first be analyzed to determine the optimal heating configuration.
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Innovative Procedure to Install a Trunnion-Hub Assembly in a Bascule Bridge Girder by Michael West Berlin A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Mechanical Engineering Department of Mechanical Engineering College of Engineering University of South Florida Co-Major Professor: Glen H. Besterfield, Ph.D. Co-Major Professor: Autar K. Kaw, Ph.D. Thomas G. Eason III, Ph.D. Date of Approval: September 15, 2004 Keywords: bascule bridge design, data acquisition, finite element analysis, heat transfer, shrink fitting, solid mechanics Copyright 2004, Michael West Berlin

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DEDICATION My thesis is dedicated to my dad who always believed I can accomplish anything.

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ACKNOWLEDGEMENTS I would like to thank all who helped me complete my thesis. Dr. Besterfield was my advisor through the entire process. Without the help of Dr. Besterfield I would not of been able to work on this project. He helped me find the supplies needed, set up the experiment and analyze the results. He also was helpful with the finite element analysis and the writing or this report. Dr. Eason helped me with the transducers and the data acquisition system. He helped me select and test the transducers and analyze the experimental results. Dr. Kaw helped me analyze the experimental and theoretical data. He was helpful with the post processing of the experimental data and correlating it to the finite element analysis. Dr. Kaw also helped revise this thesis. Wes Frusher helped with the setup of the experiment. He also helped me install the trunnion-hub assembly during the experiment.

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i TABLE OF CONTENTS LIST OF TABLES.........................................................................................................iv LIST OF FIGURES.........................................................................................................v LIST OF SYMBOLS.......................................................................................................x ABSTRACT.................................................................................................................xii CHAPTER 1 BACKGROUND.......................................................................................1 1.1 Introduction......................................................................................................1 1.2 Previous Studies................................................................................................2 1.2.1 Design Tools for Trunnion-Hub-Girder Assemblies of Bascule Bridges......2 1.2.2 Parametric Finite Element Modeling of Trunnion Hub Girder Assemblies for Bascule Bridges.....................................................................................2 1.2.3 Full Scale Testing of Trunnion Hub Girder Assembly of Bascule Bridge .....3 1.2.4 Benefit of Staged Cooling in Shrink Fitted Composite Cylinders.................4 1.3 Current Research Project...................................................................................4 1.4 Overview..........................................................................................................5 CHAPTER 2 EXPERIMENTAL ANALYSIS.................................................................6 2.1 Introduction......................................................................................................6 2.2 Preliminary Setup and Testing...........................................................................6 2.2.1 Types of Transducers..................................................................................6 2.2.2 Data Acquisition Hardware.........................................................................7 2.2.3 Channel Setup.............................................................................................8 2.2.4 Virtual Instrument.......................................................................................9 2.2.5 Bonding the Strain Gage............................................................................14 2.2.6 Wiring the Transducers.............................................................................14 2.2.7 Testing the Strain Gage.............................................................................15 2.2.8 Thermal Expansion of a Strain Gage.........................................................15 2.3 Experiment......................................................................................................16 2.3.1 Equipment.................................................................................................19 2.3.2 Procedure..................................................................................................19 2.3.2.1 Surface Preparation.............................................................................19 2.3.2.2 Bonding the Strain Gages...................................................................19 2.3.2.3 Bonding the Thermocouples...............................................................21 2.3.2.4 Soldering the Strain Gages..................................................................22 2.3.2.5 Wiring the Transducers.......................................................................23 2.3.2.6 Heating System...................................................................................25

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ii 2.3.2.7 Heating the Plate.................................................................................25 2.3.2.8 Installing the Trunnion-Hub Assembly...............................................26 2.4 Results............................................................................................................27 CHAPTER 3 FINITE ELEMENT ANALYSIS OF THE PLATE..................................30 3.1 Introduction....................................................................................................30 3.2 ANSYS Analysis............................................................................................30 3.2.1 Finite Elements Used.................................................................................30 3.2.2 Material Properties....................................................................................31 3.2.3 Plate Model...............................................................................................31 3.2.4 Heating Model...........................................................................................32 3.2.5 Insulated Blanket Model............................................................................33 3.2.6 Mesh.........................................................................................................33 3.2.7 Initial Conditions.......................................................................................34 3.2.8 Boundary Conditions.................................................................................35 3.2.9 Time Parameters........................................................................................35 3.2.10 Plate Analysis Results...............................................................................35 3.3 Comparison of ANSYS to Experiment............................................................36 CHAPTER 4 FINITE ELEMENT ANALYSIS OF THE GIRDER................................40 4.1 Introduction....................................................................................................40 4.2 Girder Model..................................................................................................40 4.3 Heating Model................................................................................................41 4.4 Mesh...............................................................................................................42 4.5 Initial Conditions............................................................................................42 4.6 Boundary Conditions......................................................................................42 4.7 Time Parameters.............................................................................................42 4.8 Girder Analysis Results...................................................................................42 CHAPTER 5 CONCLUSION........................................................................................44 5.1 Summary.........................................................................................................44 5.2 Recommendations...........................................................................................45 REFERENCES..............................................................................................................46 APPENDICES...............................................................................................................47 Appendix A: Sampling Order for Reading the Transducers........................................48 Appendix B: Strain Gage Insta llation with M-Bo nd 610 Adhe sive ............................. 49 B.1 Introduction....................................................................................................49 B.2 Mixing Instructions........................................................................................50 B.3 Surface Preparation ........................................................................................50 B.4 Shelf Life and Pot Life...................................................................................51 B.5 Handling Precautions ......................................................................................51 B.6 Gage Installation............................................................................................51 B.7 Recommended Cure Schedule........................................................................55 B.8 Post Curing.....................................................................................................55 B.9 Final Installation Procedures...........................................................................55 B.10 Elongation Capabilities.................................................................................56

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iii Appendix C: Cantilever Beam Experiment.................................................................57 Appendix D: Determining the Apparent Thermal Strain of a Strain Gage..................58 Appendix E: List of Equipment..................................................................................62 Appendix F: Determination of Number of Lead Wires...............................................64 Appendix G: Experimental Results............................................................................65 Appendix H: Comparison of ANSYS to Theoretical Examples..................................81 Appendix I: Material Properties.................................................................................88 Appendix J: Finite Element Analysis vs. Experimental Results..................................93 Appendix K: Gird er Dimens ions .............................................................................. 118 Appendix L: FEA Heating Arrangem ents Attempted on the Gi rder .......................... 119 Appendix M: Expe rimental Data .............................................................................. 120

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iv LIST OF TABLES Table 2.1 Dimensions to Transducers........................................................................18 Table 2.2 Transducer Channels.................................................................................23 Table E.1 List of Equipment......................................................................................62 Table I.1 Properties of Air........................................................................................90 Table I.2 Convection Coefficients............................................................................92 Table M.1 Exper imental Data ................................................................................... 120

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v LIST OF FIGURES Figure 1.1 Trunnion-Hub Girder Assembly..................................................................1 Figure 2.1 Data Acquisition Card..............................................................................7 Figure 2.2 SCXI 1000 Chassi s......................................................................................7 Figure 2.3 SCXI 1122 Modul e.....................................................................................8 Figure 2.4 SCXI 1322 Te rminal Block.........................................................................8 Figure 2.5 Virtual Instrument; Temperature Measurement..........................................11 Figure 2.6 Virtual Instrument ; Strain Measurement....................................................12 Figure 2.7 Graphical Virtual Instrument.....................................................................13 Figure 2.8 Strain Gage Wiring Diagram.....................................................................14 Figure 2.9 ” ASTM A36 Steel Plate.........................................................................16 Figure 2.10 Trunnion-Hub Assembly........................................................................17 Figure 2.11 Transducer Layout..................................................................................17 Figure 2.12 Curing Cycle for the Strain Gages..........................................................21 Figure 2.13 Curing Cycle for the Thermocouples......................................................22 Figure 2.14 Completed Transducers Wiring..............................................................24 Figure 2.15 Heating Blankets....................................................................................25 Figure 2.16 Heating of the Steel Plate........................................................................26 Figure 2.17 Final Assembly of th e Trunnion-Hub in the Pl ate ................................... 26 Figure 2.18 Theoretical and Experimental Strains; Locations 0, 4, 9..........................28 Figure 2.19 Theoretical and Experimental Strains; Locations 10, 13, 15....................28 Figure 2.20 Strain vs. Temperature; Locations 0, 4, 9................................................29 Figure 2.21 Strain vs. Temperature; Locations 10, 13, 15..........................................29 Figure 3.1 Solid 5 Finite Element...............................................................................31 Figure 3.2 Solid 70 Finite Element.............................................................................31 Figure 3.3 Model of the Plate.....................................................................................32

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vi Figure 3.4 Heating Coil Model...................................................................................32 Figure 3.5 Insulated Blanket Model............................................................................33 Figure 3.6 Meshed Plate.............................................................................................33 Figure 3.7 Convergence Plot......................................................................................34 Figure 3.8 Final Temperature of the Plate...................................................................36 Figure 3.9 FEA and Experimental Temperatures; Locations 0, 4, 9............................37 Figure 3.10 FEA and Experimental Temperatures; Locations 10, 13, 15....................37 Figure 3.11 FEA and Experimental Strains; Locations 0, 4, 9....................................38 Figure 3.12 FEA and Experimental Strains; Locations 10, 13, 15..............................38 Figure 3.13 Percent Difference of Temperatures; Locations 0, 4, 9............................39 Figure 3.14 Percent Difference of Temperatures; Locations 10, 13, 15......................39 Figure 4.1 Girder Model.............................................................................................41 Figure 4.2 Heating Model...........................................................................................41 Figure 4.3 Temperature Distribution in the Girder......................................................43 Figure B.1 Curing Cycles for M-Bond 610...............................................................55 Figure D.1 Apparent Thermal Strain for the Rosette Strain Gage..............................59 Figure D.2 Apparent Thermal Strain for the Single Axes Strain Gage......................60 Figure G.1 Temperature at Location 0......................................................................65 Figure G.2 Strains at Location 0...............................................................................65 Figure G.3 Temperature at Location 1......................................................................66 Figure G.4 Strain at Location 1, = 225 ..................................................................66 Figure G.5 Temperature at Location 2......................................................................67 Figure G.6 Strain at Location 2, = 225 ..................................................................67 Figure G.7 Temperature at Location 3......................................................................68 Figure G.8 Strain at Location 3, = 225 ..................................................................68 Figure G.9 Temperature at Location 4......................................................................69 Figure G.10 Strain at Location 4................................................................................69 Figure G.11 Temperature at Location 5......................................................................70 Figure G.12 Strain at Location 5, = 225 ..................................................................70 Figure G.13 Temperature at Location 6......................................................................71 Figure G.14 Strain at Location 6, = 225 ..................................................................71 Figure G.15 Temperature at Location 7......................................................................72

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vii Figure G.16 Strain at Location 7, = 225 ..................................................................72 Figure G.17 Temperature at Location 8......................................................................73 Figure G.18 Strains at Location 8...............................................................................73 Figure G.19 Temperature at Location 9......................................................................74 Figure G.20 Strains at Location 9...............................................................................74 Figure G.21 Temperature at Location 10....................................................................75 Figure G.22 Strains at Location 10.............................................................................75 Figure G.23 Temperature at Location 11....................................................................76 Figure G.24 Strains at Location 11.............................................................................76 Figure G.25 Temperature at Location 12....................................................................77 Figure G.26 Strain at Location 12, = 90 ..................................................................77 Figure G.27 Temperature at Location 13....................................................................78 Figure G.28 Strains at Location 13.............................................................................78 Figure G.29 Temperature at Location 14....................................................................79 Figure G.30 Strain at Location 14, = 90 ..................................................................79 Figure G.31 Temperature at Location 15....................................................................80 Figure G.32 Strains at Location 15.............................................................................80 Figure H.1 Steel Bar.................................................................................................81 Figure H.2 Constrained Steel Bar.............................................................................84 Figure H.3 Heated Steel Plate...................................................................................85 Figure J.1 Temperature at Location 0.........................................................................93 Figure J.2 Strain at Location 0, = 225 .....................................................................94 Figure J.3 Strain at Location 0, = 180 .....................................................................94 Figure J.4 Strain at Location 0, = 135 .....................................................................95 Figure J.5 Temperature at Location 1.........................................................................95 Figure J.6 Strain at Location 1, = 225 .....................................................................96 Figure J.7 Temperature at Location 2.........................................................................96 Figure J.8 Strain at Location 2, = 225 .....................................................................97 Figure J.9 Temperature at Location 3.........................................................................97 Figure J.10 Strain at Location 3, = 225 ..................................................................98 Figure J.11 Temperature at Location 4......................................................................98 Figure J.12 Strain at Location 4, = 225 ..................................................................99

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viii Figure J.13 Strain at Location 4, = 180 ..................................................................99 Figure J.14 Strain at Location 4, = 135 ................................................................ 100 Figure J.15 Temperature at Locati on 5 .................................................................... 100 Figure J.16 Strain at Location 5, = 225 ................................................................ 101 Figure J.17 Temperature at Locati on 6 .................................................................... 101 Figure J.18 Strain at Location 6, = 225 ................................................................ 102 Figure J.19 Temperature at Locati on 7 .................................................................... 102 Figure J.20 Strain at Location 7, = 225 ................................................................ 103 Figure J.21 Temperature at Locati on 8 .................................................................... 103 Figure J.22 Strain at Location 8, = 225 ................................................................ 104 Figure J.23 Strain at Location 8, = 180 ................................................................ 104 Figure J.24 Strain at Location 8, = 135 ................................................................ 105 Figure J.25 Temperature at Locati on 9 .................................................................... 105 Figure J.26 Strain at Location 9, = 225 ................................................................ 106 Figure J.27 Strain at Location 9, = 180 ................................................................ 106 Figure J.28 Strain at Location 9, = 135 ................................................................ 107 Figure J.29 Temperature at Locati on 10 .................................................................. 107 Figure J.30 Strain at Location 10, = 90 ................................................................ 108 Figure J.31 Strain at Location 10, = 45 ................................................................ 108 Figure J.32 Strain at Location 10, = 0 .................................................................. 109 Figure J.33 Temperature at Locati on 11 .................................................................. 109 Figure J.34 Strain at Location 11, = 90 ................................................................ 110 Figure J.35 Strain at Location 11, = 45 ................................................................ 110 Figure J.36 Strain at Location 11, = 0 .................................................................. 111 Figure J.37 Temperature at Locati on 12 .................................................................. 111 Figure J.38 Strain at Location 12, = 90 ................................................................ 112 Figure J.39 Temperature at Locati on 13 .................................................................. 112 Figure J.40 Strain at Location 13, = 90 ................................................................ 113 Figure J.41 Strain at Location 13, = 45 ................................................................ 113 Figure J.42 Strain at Location 13, = 0 .................................................................. 114 Figure J.43 Temperature at Locati on 14 .................................................................. 114 Figure J.44 Strain at Location 14, = 90 ................................................................ 115

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ix Figure J.45 Temperature at Locati on 15 .................................................................. 115 Figure J.46 Strain at Location 15, = 90 ................................................................ 116 Figure J.47 Strain at Location 15, = 45 ................................................................ 116 Figure J.48 Strain at Location 15, = 0 .................................................................. 117 Figure K.1 Girder Dimens ions ............................................................................... 118 Figure L.1 1st Heating Coil Arrangem ent .................................................................. 119 Figure L.2 2nd Heating Coil Arrangem ent ................................................................. 119

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x LIST OF SYMBOLS A Area in2 E Modulus of Elasticity 2in lbfL Length in LNu Average Nusselt number for a horizontal plate Non-dim yNu Average Nusselt number for a vertical plate Non-dim Pr Prandtl number Non-dim RaL Rayleigh number with respect to length Non-dim Ray Rayleigh number with respect to height Non-dim T Temperature F Ux Displacement in the x direction in Uy Displacement in the y direction in Uz Displacement in the z direction in W Width of the cantilever beam in g Thermodynamic property of air 1 3 Š Š K cm yh Average convection coefficient for a vertical plate F in BTU 2mi n

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xi k Thermal Conductivity F in BTU mi n l Distance from fastened end of beam to the applied load in p Perimeter in q” Heat Flux mi n 2in BTUDistance from fastened end of beam to the center of the strain s gage in t Thickness of the cantilever beam in t Time min y Length of vertical convection in Thermal expansion coefficient F in in# Change in length in Apparent thermal strain for the rosette stain gage in the radial app,r direction app,s Apparent thermal strain for the single axes strain gage Apparent thermal strain for the rosette stain gage in the app,t tangential direction Apparent thermal strain for the rosette stain gage in the shear app, direction t Theoretical strain $ Stress 2in lbf% T Temperature difference F

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xii Innovative Procedure to Install a Trunnion-Hub Assembly in a Bascule Bridge Girder Michael West Berlin ABSTRACT The current assembly procedure to install a trunnion and hub into a bascule bridge girder involves cooling the trunnion in liquid nitrogen and shrink fitting it into the hub. The resulting trunnion-hub assembly is then allowed to warm to room temperature. Next, the trunnion-hub assembly is cooled in the liquid nitrogen and shrunk fit into the girder. The cooling of the trunnion does not cause any problems, however, when the trunnionhub assembly is cooled in the liquid nitrogen, the hub experiences a large thermal shock. These thermal shocks induce large stresses into the hub, which has been known to cause it to crack. This study investigates an innovative assembly procedure to install the trunnionhub assembly into a bascule bridge girder. To avoid cooling the trunnion-hub assembly, the girder was heated instead. Laboratory testing and finite element analysis were used to determine if the girder could reasonably be heated to install the trunnion-hub assembly. An experiment was conducted to analyze the heating process that will be used. A rectangular steel plate (60”x60”x0.75”) was used to model the girder in the lab. Inductance-heating coils were used to heat the steel plate to 350 F. The heating process was recorded using a data acquisition system with thermocouples and strain gages. ANSYS was the finite element analysis (FEA) program that was used to model the heating process of the plate. The FEA results from ANSYS were compared with the

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xiii experimental results. This confirmed the parameters of the finite element analysis were correct. Those parameters were then used to model a full-scale girder. The feasibility of heating the girder was determined from the finite element analysis results. It was determined that heating the girder with 2250 mi n BTU for 90 minutes, was sufficient energy for the assembly procedure to work. The girder was heated to a maximum temperature of 350 F and a 0.015” clearance was created for the assembly of the trunnion-hub. The finite element analysis of the girder showed that the placement of the heating coils on the girder was critical. Therefore this innovative assembly procedure can easily be accomplished, however, each girder must first be analyzed to determine the optimal heating configuration.

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1 CHAPTER 1 BACKGROUND 1.1 Introduction A bascule bridge is a movable bridge used over the waterways of Florida, and throughout the world. Each half of the bridge pivots about a fulcrum to allow boat traffic to pass. The fulcrum is composed of a trunnion and a hub attached to the girder of the bascule bridge (Figure 1.1). The trunnion, hub and girder are all shrink fitted together. Figure 1.1 Trunnion-Hub Girder Assembly The current assembly procedure to install a trunnion and hub into a bascule bridge girder has caused the hub to crack on several occasions. The procedure involves cooling the trunnion in liquid nitrogen and shrink fitting it into the hub. The trunnion-hub

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2 assembly is then allowed to warm to room temperature. Next the trunnion-hub assembly is cooled in the liquid nitrogen and fitted into the girder. The cooling of the trunnion does not cause any problems; however, when the trunnion-hub assembly is cooled in the liquid nitrogen the hub experiences a large thermal shock. These thermal shocks induce large stresses into the hub and have caused it to crack in the past. In 1998, the Florida Department of Transportation granted the University of South Florida a grant to investigate and improve the assembly procedure. 1.2 Previous Studies There have been four completed research projects prior to this one. Each of these research projects is summarized in this section. 1.2.1 Design Tools for Trunnion-Hub-Girder Assemblies of Bascule Bridges Michael T. Denninger’s thesis investigated the steady state stresses in the trunnion-hub girder assembly (Denninger, 2000). Denninger concluded that the steady state stresses were less than the tensile strength of the material. Therefore the high stresses had to be induced during the assembly procedure. 1.2.2 Parametric Finite Element Modeling of Trunnion Hub Girder Assemblies for Bascule Bridges Badri Ratnam’s thesis theoretically investigated two different assembly procedures using a finite element analysis program called ANSYS (Ratnam, 2000). The two assembly procedures called “Assembly Procedure #1 (AP1)” and “Assembly Procedure #2 (AP2)” are described below. AP1 involves the following four steps: Step 1. The trunnion is shrunk by cooling in liquid nitrogen.

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3 Step 2. This shrunk trunnion is then inserted into the hub and allowed to warm-up to ambient temperature to develop an interference fit on the trunnion-hub interface. Step 3. The resulting trunnion-hub assembly is shrunk, by cooling in liquid nitrogen. Step 4. The trunnion-hub assembly is then inserted into the girder and allowed to warm-up to ambient temperature to develop an interference fit on the hub-girder interface. AP2 consists of the following four steps: Step 1. The hub is shrunk by cooling in liquid nitrogen. Step 2. This shrunk hub is then inserted into the girder and allowed to warm-up to ambient temperature to develop an interference fit on the hub-girder interface. Step 3. The trunnion is shrunk by cooling in liquid nitrogen. Step 4. This shrunk trunnion is then inserted into the hub-girder assembly and allowed to warm-up to ambient temperature to develop and interference fit on the trunnion-hub interface. Ratnam (2000) determined that AP2 was more efficient, however both had a large thermal shock, which could cause failure. 1.2.3 Full Scale Testing of Trunnion Hub Girder Assembly of Bascule Bridge Sanjeev N. Nichani experimentally investigated the two different assembly procedures to determine which was more effective (Nichani, 2001). Full size trunnions and hubs were used for the experiment. Strain gages and thermocouples were used to record the assembly procedures.

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4 Based on hoop stress, minimum critical crack length and Von-Mises stress, Nichani also determined that AP2 was much more effective. The problem is that there is a large thermal shock associated with the liquid nitrogen, which could cause the assemblies to crack. 1.2.4 Benefit of Staged Cooling in Shrink Fitted Composite Cylinders Nathaniel Oren Collier’s theoretically investigated the benefit of staged cooling to avoid cracking the trunnion-hub assembly (Collier, 2004). Three different scenarios were analyzed: 1) direct immersion into liquid nitrogen, 2) immersion into a refrigerated chamber then liquid nitrogen, and 3) Immersion into a refrigerated chamber then a dryice/alcohol bath and then liquid nitrogen. The geometry was modeled as two infinitely long cylinders. The analysis was solved using the finite difference method with critical crack length and VonMises stress as the failure criteria. Collier determined that the critical crack length and stress ratio was increased by 50% by first cooling the assembly in a refrigerated chamber and then in liquid nitrogen. Using dry-ice/alcohol bath as an intermediate step for immersion had little effect on the results. 1.3 Current Research Project Installing the trunnion into the hub did not create a problem for any of the assembly procedures. The problem with all of the other procedures occurred when the trunnion-hub was cooled for the shrink fit. To avoid cooling the trunnion-hub, the girder must be heated. This project analyzed the possibility of heating the girder to install the trunnion-hub assembly.

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5 Laboratory testing and finite element analysis were used to determine if the girder could reasonably be heated to install the trunnion-hub assembly. A rectangular steel plate was used to model the girder in the lab. Inductance-heating coils were used to heat the steel plate. While the plate was heated, thermocouples and strain gages were used to record the temperature and normal strains respectively. ANSYS (ANSYS Incorporated) was used to model the heating process of the plate. This confirmed the parameters of the finite element analysis were correct. Finally those parameters were used to model the girder. The feasibility of heating the girder was determined from the finite element analysis. 1.4 Overview Chapter 2 describes the experimental analysis conducted to analyze the heating procedure. The data acquisition system, transducers and other equipment are described. The results of the experimental analysis are given at the end of chapter two. Chapter 3 is the finite element analysis (FEA) of the experiment. The finite elements used and all parameters are described. Any assumptions are also described. The end of chapter three compares the FEA results to the experimental results. Chapter 4 is the finite element analysis of a full-scale girder. The parameters and assumptions from chapter three are used as the inputs to model the girder. The FEA results are shown at the end of chapter four. Chapter 5 gives the results of this study along with any recommendations.

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6 CHAPTER 2 EXPERIMENTAL ANALYSIS 2.1 Introduction An experimental model was constructed to analyze the heating system that was used to install the trunnion-hub assembly into the girder. The model consisted of a full size trunnion-hub assembly and a steel plate (60”x60”x ”) to represented the girder. A welding machine was used to power the two resistance-heating coils used to heat the steel plate. Once the plate was heated enough for the interference fit, the trunnion-hub assembly was lowered into place. A data acquisition system was used to record the heating process. The two types of transducers used in this experiment were thermocouples and resistance strain gages. Before beginning the experiment the data acquisition system was setup and tested with the transducers. 2.2 Preliminary Setup and Testing 2.2.1 Types of Transducers Two types of transducers were used to model the heating process of the steel plate in the lab. Thermocouples were used for the temperature measurements and resistance strain gages were used to measure the thermal expansion of the plate.

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7 The thermocouples were type E from Omega (Omega Engineering Incorporated). They are composed of a constantan and chromega wire twisted together. (part #: TFCC020-100, TFCH-020-100) Two types of strain gages were used; both were 350 ohms and from Vishay (Vishay Intertechnology). The single axes strain gages used were part number WK-06250BG-350. The rosette strain gages used were part number WK-06-125RA-350. Soldering terminals were also used to simplify the wiring. 2.2.2 Data Acquisition Hardware The data acquisition system used was from National Instruments (Vishay Intertechnology) and consisted of the following items: A 16-bit analog input multifunction data acquisition card was used (Figure 2.1) (National Instruments Corporation). Figure 2.1 Data Acquisition Card Also, figure 2.2 shows the SCXI 1000 chassis that was used (National Instruments Corporation). Figure 2.2 SCXI 1000 Chassis

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8 Three, 16 channel isolated multiplexer modules were installed into the chassis. A SCXI 1122 module is shown in Figure 2.3 (National Instruments Corporation). Figure 2.3 SCXI 1122 Module A SCXI 1322 terminal block was connected to each module to simplify the wiring and reading of the transducers (Figure 2.4) (National Instruments Corporation). The SCXI 1322 has an onboard temperature sensor for cold-junction compensation. Figure 2.4 SCXI 1322 Terminal Block A Dell Inspiron 7500 laptop computer and LabVIEW 5.1 controlled the data acquisition hardware (National Instruments Corporation). 2.2.3 Channel Setup When reading the transducers, all thermocouples and all strain gages were read together respectively. This is due to reading a large voltage followed by a small voltage.

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9 Appendix A shows an experiment that was conducted to prove this. Therefore, all thermocouples were read first then all strain gages were read. The channels were setup using LabVIEW’s data acquisition channel wizard. This was found in the project menu, then in the DAQ Wizards and then in the DAQ Channel Wizard. Opening the Data Neighborhood folder and then Add Data Input or Output created a new channel. The wizard then helped setup the channels. There are three devise names that were used depending on what module the transducer was connected to. For module one the device name was Dev1_SC1_MD1:SCXI-1122. For module two and three the MD1 was changed to MD2 and MD3, respectively. For the thermocouples, temperature measurement with a type E thermocouple was selected. The temperature range was set from 60F to 500F. The built-in cold junction compensation was used for temperature measurements. The strain gage was a differential voltage measurement. The voltage range was set from –5V to 5V. 2.2.4 Virtual Instrument LabVIEW 5.1 was used to create a graphical program called a virtual instrument or VI, which was used to acquire the data from the transducers (Figure 2.5 and 2.6). The VI operates in the following order: The average and acquire subVI was a program already written by labVIEW. It was used to sample the channels. This subVI was set to take one thousand samples at a rate of one thousand samples per second. It then averages the one thousand samples.

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10 This subVI allowed an approximation to be determined for each value, averaged over one second. First the strain gage initial voltages were read and sent to the subVI named strain conversion. The voltages were stored there and used to zero the initial strain readings. All of the thermocouples were sampled first. The voltages are automatically converted to temperatures because the channel wizard was used to set up the channels. The temperatures were compiled and sent to a spreadsheet. The strain gages were sampled last. The voltages were sent to the strain conversion subVI. The strain conversion subVI used the following inputs to convert the voltage to a strain: 2.03 gage factor, 350-ohm resistance and the initial voltages from the strain gages (Omega Engineering Incorporated). The strain was converted to micro strains and then sent to the spreadsheet. The time was also recorded to the spreadsheet. The data was saved under the file name indicated. The data was also sent to a graph (Figure 2.7). This allowed the data to be viewed as it was taken. One graph was for the strain gages and one was for the thermocouples. The numerical value of the last sample was digitally displayed along side the graph. The lines next to the graph showed what plot each transducer was by using different colors and line styles.

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11 Figure 2.5 Virtual Instrument; Temperature Measurement

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12 Figure 2.6 Virtual Instrument; Strain Measurement

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13 Figure 2.7 Graphical Virtual Instrument

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14 2.2.5 Bonding the Strain Gage M-Bond 610 adhesive from Vishay was used to bond the strain gages because of its high temperature capability. For the preliminary testing they were bonded according to the instructions supplied with the adhesive. (See Appendix B for the complete instructions.) 2.2.6 Wiring the Transducers The thermocouple was wired directly to the channel. The constantan was connected to the positive terminal and the chromega was connected to the negative terminal. The strain gage was wired for a quarter bridge completion of the Wheatstone bridge (Figure 2.8). Three lead wires were used to overcome any lead wire resistance. Two wires were soldered to one terminal and one wire was soldered to the other terminal of the strain gage. The single lead wire was connected to the VEX+ terminal. One of the other lead wires was connected to the positive terminal (CH+), and the last lead wire was soldered to a 350 resistor and then connected to the VEXterminal. The negative channel was wired directly to the VEX/2 terminal. Figure 2.8 Strain Gage Wiring Diagram

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15 2.2.7 Testing the Strain Gage To test the strain gage, a cantilever beam experiment was used, (see Appendix C). The experiment consisted of a cantilever beam and a strain gage. The theoretical strains were compared to the experimental strains for a variety of weights. The two results for strain were within 9%. This experiment proved that the data acquisition system and the stain gage were set up correctly. 2.2.8 Thermal Expansion of a Strain Gage For this experiment, the strain gages were used to measure the thermal expansion of the plate. When the plate was heated, both the plate and the strain gage expanded. Therefore the strain gage thermal expansion had to be accounted for to determine the thermal expansion of the plate. To determine the exact thermal expansion of the strain gage, it was bonded to a titanium silicate bar because of the low coefficient of thermal expansion and heated to a variety of temperatures (Appendix D). An equation was found that relates the temperature to the apparent thermal strain of the strain gage. Equation 2.1 is the apparent thermal strain for the rosette strain gage in the tangential direction. Equation 2.2 is the apparent thermal strain for the rosette strain gage in the radial direction. Equation 2.3 is the apparent thermal strain for the rosette strain gage in the shear direction. Equation 2.4 is the apparent thermal strain for the single axes strain gage. Where T is in degrees Fahrenheit and & is in in in 04 474 8865 7,+ Š = Tt app (2.1)5 558 2094 7,+ Š = Tr app (2.2)

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1614 520 7725 6,+ Š = Tapp (2.3)32 618 6745 7,+ Š = Ts app (2.4) 2.3 Experiment This experiment analyzed the possibility of heating the girder to shrink fit the trunnion-hub assembly into it. An experiment was conducted with the girder represented by an ASTM A36 steel plate with a hole in the middle of it (Figure 2.9). The trunnionhub assembly used was full size and constructed of steel casting, ASTM A148 grade 9060 (Figure 2.10). The purpose of this experiment was to simulate the heating process used to perform the shrink fitting. Once the heating process was determined for this model, ANSYS was used to analyze the full size girder. Figure 2.9 ” ASTM A36 Steel Plate

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17 Figure 2.10 Trunnion-Hub Assembly Type E thermocouples and resistance strain gages were used to model the process. There were sixteen thermocouples, eight rosette strain gages and eight single axes strain gages used in this experiment. Figure 2.11 shows the placement and number of each type of strain gage; a thermocouple was also located at each point. Figure 2.11 Transducer Layout

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18 All of the transducers were bonded to the top surface of the steel plate. A cylindrical coordinate system was used with the origin placed at the center of the hole. The positive x-axis corresponded to a theta of zero with theta increasing counterclockwise. The single axes strain gages were positioned in the radial direction. The rosette strain gages were positioned to read the radial and tangential strains. The locations were numbered from zero to fifteen for reference purposes. The letter T followed by the location number was used to reference the thermocouples. The letter S followed by the location number was used to reference the strain gages. For the strain gages a number was used to reference the angle theta. For example S12-90 was the strain gage at location twelve that read the radial strain. Table 2.1 shows the dimensions to each transducer. The dimensions were measured from the center of the hole to the center of the strain gage. Table 2.1 Dimensions to Transducers Transducer Position Number Distance from center of hole to transducer 0 41.377 in 1 37.377 in 2 33.877 in 3 30.877 in 4 28.377 in 5 23.877 in 6 20.877 in 7 17.377 in 8 15.877 in 9 10.377 in 10 10.377 in 11 15.877 in 12 18.377 in 13 22.377 in 14 25.877 in 15 29.377 in

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19 2.3.1 Equipment Appendix E has a complete list of all of the equipment used in the experiment. 2.3.2 Procedure 2.3.2.1 Surface Preparation Surface preparation was extremely important when bonding the transducers. The steel must be very smooth and clean. The steel plate had slag on it from manufacturing which created dimples. The plate was also rusted in some spots from being stored outside. The slag and rust had to be removed before the strain gages were bonded. The steel was only cleaned where the transducers were going to be installed. First a steel-grinding disk with an angle grinder was used to take off the slag. Then a 120 grit-sanding disk followed by a 240 grit disk sander was used to smooth out the steel. Next the strain gages were bonded. 2.3.2.2 Bonding the Strain Gages The strain gages were bonded using M-Bond 610 adhesive from Vishay; this is a high temperature adhesive. The bonding instructions provided by Vishay are in Appendix B. However a few steps had to be changed for this experiment due to the size of the steel plate that the gages were bonded to. The following is the steps used to bond the strain gages to the plate. Step 1: Degrease the area using CSM-1A degreaser from Vishay. Step 2: Wet sand with M-Prep Conditioner A and 220-grit silicon-carbide paper. Wipe clean with a gauze sponge. Wet sand again with M-Prep Conditioner A and 320-grit silicon-carbide paper. Wipe clean with a gauze sponge. Repeatedly apply Conditioner A

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20 and scrub with a cotton tip applicator; repeat until the cotton tip applicator is not discolored. Wipe clean with a gauze sponge. Step 3: Apply M-Prep Neutralizer 5A and scrub with a cotton tip applicator. Wipe clean with a gauze sponge. Step 4: Remove a strain gage from the mylar envelope with tweezers and place on an empty gage box. Position the solder tabs next to the gage. Place a piece of mylar tape over half of the gage tabs and the entire terminal. Step 5: Remove the gage assembly by pealing the tape at a shallow angle. Align and place the assembly on the steel plate. Step 6: By lifting the tape a shallow angle, peel back one side to expose the gage and terminals. Coat the gage backing, terminal and steel with the adhesive. Allow to air dry 5 to 30 minutes. Step 7: Return the gage assembly to the original position. Place a piece of Teflon sheet over the assembly. Place a silicon gum pad followed by a metal backup plate over the gage and terminal. NOTE: The following steps are where the changes had to be made to bond the strain gages to the steel plate. Step 8: Deadweight (40 to 50 psi) was used to hold the gage assembly in place while the adhesive cured. To accommodate the pressure, a cinder block had to be placed on every pressure pad used. Due to the small size of each pressure pad (1 ”x ”) this was not very easy. Therefore, only two or three strain gages could be bonded at a time. To distribute the weight evenly, an aluminum bar was placed over the pressure pads and the

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21 cinder blocks were placed on top of the bar. This also helped with the balancing of the cinder blocks. Step 9: The resistance heating coils were used to cure the adhesive. They were placed on the steel around the cinder blocks and turned on. The area was heated to 335F and held there for ninety minutes. Figure 2.12 shows a typical heating cycle used to bond the strain gages. 50 100 150 200 250 300 350 050100150 Time [min]Temp [F] Figure 2.12 Curing Cycle for the Strain Gages Step 10: The heaters were turned off and the steel was allowed to cool before the cinder blocks were removed. The pressure pads and tape were removed. 2.3.2.3 Bonding the Thermocouples The type E thermocouples were made of chromega and constantan wires twisted together. The thermocouple lengths were determined such that the wires would run to the center of the plate and then to the data acquisition system. This would allow the insulation blankets to easily be placed on and removed. The twisted ends were bonded to the plate using OB200 cement from Omega. The cement had to be heated to 120F

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22 before it could be mixed. Once the cement was heated, the two parts were mixed together and the thermocouples were bonded. This adhesive also had to be cured at an elevated temperature. The curing cycle is shown below in Figure 2.13. 50 100 150 200 250 300 350 050100150200250300350400 Time [min]Temp [F] Figure 2.13 Curing Cycle for the Thermocouples 2.3.2.4 Soldering the Strain Gages To determine the number of lead wires needed for the strain gages, a small experiment was conducted (Appendix F). It was determined that remote sensing was not needed and three lead wires would be sufficient to account for the lead wire resistance. All of the wires were run on the top of the plate to the center of the hole. A wood frame then held the wires above the plate and ran them to the table with the data acquisition system. A high temperature wire was used to handle the temperatures of the plate. However this wire was expensive so it was only used where it touched the plate. Regular lead wire was spliced in for the rest of the length. Also a high temperature solder was used to solder the lead wires.

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23 A quarter bridge completion of the Wheatstone bridge was needed with the data acquisition system. Thus, two wires were soldered to one of the strain gage terminals and one wire was soldered to the other terminal. One of the two lead wires that went to the same terminal had a 350 resistor soldered into it. The resistor was soldered just before the wire entered data acquisition system. 2.3.2.5 Wiring the Transducers As shown in Appendix A, all thermocouples must be sampled first and then all strain gages were sampled. Thus, all of the thermocouples were wired to one of the terminal blocks of the data acquisition system and all of the strain gages were wired to the other two terminal blocks. Table 2.2 shows the transducer channels. Table 2.2 Transducer Channels Module 1 Module 2 Module 2 Channel Transducer Channel Transducer Channel Transducer 0 T0 0 S0-225 0 S9-180 1 T1 1 S0-180 1 S9-135 2 T2 2 S0-135 2 S10-90 3 T3 3 S1-225 3 S10-45 4 T4 4 S2-225 4 S10-0 5 T5 5 S3-225 5 S11-90 6 T6 6 S4-225 6 S11-45 7 T7 7 S4-180 7 S11-0 8 T8 8 S4-135 8 S12-90 9 T9 9 S5-225 9 S13-90 10 T10 10 S6-225 10 S13-45 11 T11 11 S7-255 11 S13-0 12 T12 12 S8-225 12 S14-90 13 T13 13 S8-180 13 S15-90 14 T14 14 S8-135 14 S15-45 15 T15 15 S9-225 15 S15-0 To wire the thermocouples, the constantan was connected to the positive terminal and the chromega was connected to the negative terminal of the terminal block.

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24 To wire the strain gages the CHwas wired to the VEX/2 for all of the channels. The lead wire from the single terminal was connected to the VEX+ terminal. The lead wire with the resistor was connected to the VEXterminal and the last lead wire was connected to the CH+ terminal. Fiberglass sheet was wrapped around the wires to protect them from the heat. Then angle iron was placed over the transducers and wires to protect them from the heating coils and heavy blankets. Figure 2.14 shows the completed wiring of the transducers and the placement of the heating coils. Figure 2.14 Completed Transducers Wiring

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25 2.3.2.6 Heating System Two resistance-heating coils powered by a welder were used to heat the steel plate. A thermocouple was used to control the temperature of the plate. The coils were placed on the surface of the steel plate. Blankets were then placed on top to help insulate the plate (Figure 2.15). Figure 2.15 Heating Blankets 2.3.2.7 Heating the Plate The data acquisition system was turned on and set to take data every three minuets. The heating coils were turned on and set to heat the plate up to 400F. The trunnion-hub assembly was hoisted above the plate so it would be ready to be lower into place (Figure 2.16).

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26 Figure 2.16 Heating of the Steel Plate 2.3.2.8 Installing the Trunnion-Hub Assembly Once the plate reached the temperature the blankets and wires were pulled away from the hole. The trunnion-hub assembly was then lowered into place (Figure 2.17). Figure 2.17 Final Assembly of the Trunnion-Hub in the Plate

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27 2.4 Results The plate was heated using 51964 BTU of energy. The diameter of the hole after 93 minutes was 17.789”. The entire set of data can be seen in Appendix Q, however for this analysis, only a section of the heating process was used. The data was analyzed so that it could be compared with the ANSYS results. The time and strain measurements were shifted to start at zero, and the apparent thermal strains from equations (2.1-2.4) were subtracted from the experimental strains for each data point. This was to account for the temperature compensation of the strain gages (Appendix D). The section of the data used was 93 minutes and started when the initial temperatures were 70 F. Appendix G shows the plots of the temperatures and strains verses time for the experimental data. These graphs were used to compare the results to the finite element analysis. Some other graphs are used to show that the experimental data was accurate. Only six locations were selected for this comparison. Location 1 and Location 15 were located along the edge of the plate; Location 9 and Location 10 were located along the edge of the hole, and Location 4 and Location 13 were located between the other transducers (see Figure 2.11). Figures 2.18 and 2.19 show a comparison of the theoretical strain and the experimental strain for the selected locations. The theoretical strain was calculated using Equation 2.5 and the experimental temperature from the thermocouples. Tt = (2.5)

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28 The ambient temperature was 70 F. The percent difference between the theoretical and experimental strains shown below are under 10%. -50 450 950 1450 1950 2450 020406080100 Time [min]microstrain Location 0 Theo Location 0 Exp Location 4 Theo Location 4 Exp Location 9 Theo Location 9 Exp Figure 2.18 Theoretical and Experimental Strains; Locations 0, 4, 9 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain Location 10 Theo Location 10 Exp Location 13 Theo Location 13 Exp Location 15 Theo Location 15 Exp Figure 2.19 Theoretical and Experimental Strains; Locations 10, 13, 15

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29 Figures 2.20 and 2.21 are plots of strain vs. temperature. The plots are straight lines and have the same slope. -50 450 950 1450 1950 2450 50.00100.00150.00200.00250.00300.00350.00400.00 Temp [F]microstrain Location 0 Location 4 Location 9 Figure 2.20 Strain vs. Temperature; Locations 0, 4, 9 0 500 1000 1500 2000 2500 50100150200250300350400450 Temp [F]microstrain Location 10 Location 13 Location 15 Figure 2.21 Strain vs. Temperature; Locations 10, 13, 15

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30 CHAPTER 3 FINITE ELEMENT ANALYSIS OF THE PLATE 3.1 Introduction ANSYS 8.0 is a finite element analysis (FEA) program used to model the experiment. The temperatures and strains from the experimental model were compared to ANSYS to verify that ANSYS could be used to model the heating process. The final experimental diameter of the plate’s hole was compared to the ANSYS results. Once the data from ANSYS matched the experimental data, ANSYS was used to model the full size girder. Before ANSYS could be used to model the experiment a few simple problems were solved and compared to the theoretical solutions (Appendix H). Once the results from ANSYS were verified, the analysis of the plate was performed. 3.2 ANSYS Analysis 3.2.1 Finite Elements Used The Solid 5 coupled field element was used to solve for the temperature and thermal strain in the plate during the heating process. The element was an eight node solid (Figure 3.1). With the following degrees of freedom: displacement in the x, y and z directions, temperature, voltage and magnetic. The voltage and magnetic material properties were not entered and therefore ANSYS did not solve for these reactions.

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31 Figure 3.1 Solid 5 Finite Element The Solid 70 element was used for the heating coils, air and heating blankets. The element had three shape options, with eight, six or four nodes (Figure 3.2). The only degree of freedom was temperature. Figure 3.2 Solid 70 Finite Element 3.2.2 Material Properties The material properties used in this analysis are shown in Appendix I. 3.2.3 Plate Model The plate was drawn to scale with the hole in the middle. In order for the mesh of the heating coils to line up with the mesh of the plate, the plate had to be drawn such that the heating coils lay on top of separate volumes in the plate (Figure 3.3). Also the plate was divided along the transducer lines to ease the comparison of the experimental and theoretical data. The different volumes were then glued together.

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32 Figure 3.3 Model of the Plate 3.2.4 Heating Model The heating coils were made of metal wire enclosed in a ceramic shell. The heating coils were modeled as ceramic because all of the heat was conducted through the ceramic shells. The coils were drawn as half inch squares which lay on top of the plate (Figure 3.4). The lengths of the sides of the coils were: 52”, 40”, 32” and 25”. There was a layer of air on the plate and between the heating coils. Figure 3.4 Heating Coil Model

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33 3.2.5 Insulated Blanket Model The insulated blanket was made of fiberglass. It also had to be drawn with different volumes to match up with the heating coils so that the mesh would line up (Figure 3.5). The blanket was 4” thick. Figure 3.5 Insulated Blanket Model 3.2.6 Mesh The mesh was set not to exceed one inch. The lines along the sides of the model were broken into one-inch divisions. Figure 3.6 shows the meshes of the plate. Figure 3.6 Meshed Plate

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34 The plate, heating coils and air were one element thick. The fiberglass blanket was two elements thick. A convergence study was preformed on the analysis. The number of elements in the plates mesh was changed from the original 19,316 elements to 5,056 and 66,220 elements. The final temperature was compared for six locations. Figure 3.7 shows the log plot of the convergence study. The data points are linear which proves convergence. 100 1000 100010000100000 Number of elementsTemp [F] Location 0 Location 4 Location 9 Lti10 Figure 3.7 Convergence Plot 3.2.7 Initial Conditions The only initial condition was to set the entire model to start at 70 F.

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35 3.2.8 Boundary Conditions The model had displacement boundary conditions to constrain it while it was heated. Equations 3.1-3.3 show how the model was constrained. 0 ) 30 ( = Š =x Ux (3.1) 0 ) 30 ( = Š =y Uy (3.2) 0 ) 0 ( = =z Uz (3.3) The model was convecting heat around all of its boundaries. The convection coefficients are solved for in Appendix I. The top of the model was the large exposed surface of the fiberglass blanket. The bottom of the model was the large exposed surface of the steel plate. The sides were the remaining exposed surfaces. The convection coefficients were input in to ANSYS as a table with respect to temperature. The heating coils were given a heat generation load of 3mi n 75 3 in Btu This is a stepped boundary condition in ANSYS. 3.2.9 Time Parameters The time frame was chosen to be 93 minutes with 3-minute increments to match the experimental data. A convergence study was conducted by running the analysis a second time with a 1.5-minute time increment; the results were within 3%. This showed that the 3-minute increment was sufficient. 3.2.10 Plate Analysis Results The results needed from ANSYS were temperature and strain at each point a transducer was located on the experimental model and the final diameter of the hole in the plate. Figure 3.8 shows the final temperature distribution of the plate.

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36 Figure 3.8 Final Temperature of the Plate To determine the temperature and strain, the two nodes closest to the point needed were selected. The temperature and strains were determined with respect to time for these nodes. Then linear interpolation was used to solve for the temperature and strain at the point where the transducers were located. The experimental data was compared to these values and a percent difference was determined. The final FEA minimum diameter of the hole was determined to be 17.787”. The expansion of the hole was within 19% of the experimental expansion. 3.3 Comparison of ANSYS to Experiment The complete set of FEA vs. experimental results is shown in Appendix J. The percent difference between the FEA and experimental temperatures were within 23%. Six transducer locations were again selected for some comparisons.

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37 Figures 3.9 and 3.10 show the comparison between the FEA and the experimental temperatures. 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F] Location 0 FEA Location 0 Exp Location 4 FEA Location 4 Exp Location 9 FEA Location 9 Exp Figure 3.9 FEA and Experimental Temperatures; Locations 0, 4, 9 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F] Location 10 FEA Location 10 Exp Location 13 FEA Location 13 Exp Location 15 FEA Location 15 Exp Figure 3.10 FEA and Experimental Temperatures; Locations 10, 13, 15

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38 Figures 3.11 and 3.12 show the comparison between the FEA and experimental strains in the radial direction. In a few cases the percent differences at lower strains were extremely high. -50 450 950 1450 1950 2450 020406080100 Time [min]microstrai n Location 0 FEA Location 0 Exp Location 4 FEA Location 4 Exp Location 9 FEA Location 9 Exp Figure 3.11 FEA and Experimental Strains; Locations 0, 4, 9 -50 450 950 1450 1950 2450 020406080100 Time [min]microstrai n Location 10 FEA Location 10 Exp Location 13 FEA Location 13 Exp Location 15 FEA Location 15 Exp Figure 3.12 FEA and Experimental Strains; Locations 10, 13, 15

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39 However at the end of the heating cycle Location 0 had the highest percent difference at 46%. At 42 minutes the Location 0 plot changed slope that was probably due to an error in the strain gage. The rest of the selected locations all had percent differences under 12%. Figures 3.13 and 3.14 show the percent difference between the FEA and experimental temperatures with respect to time. 0.00 5.00 10.00 15.00 20.00 25.00 020406080100 Time [min]% Difference Location 0 Location 4 Location 9 Figure 3.13 Percent Difference of Te mperatures; Locations 0, 4, 9 0 5 10 15 20 25 020406080100 Time [min]% Difference Location 10 Location 13 Location 15 Figure 3.14 Percent Difference of Te mperatures; Locations 10, 13, 15

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40CHAPTER 4 FINITE ELEMENT ANALYSIS OF THE GIRDER 4.1 Introduction The ANSYS parameters from the plate analysis were used to model the full size girder. The girder model was input into the computer and a heating arrangement was determined that would satisfy the assembly procedure. From this analysis the length and number of heating coils needed to perform the heating process was determined. 4.2 Girder Model The girder chosen for this analysis was the 17th Street Causeway Bridge in Broward County, Florida. The girder is delivered to the job site in two sections and then spliced together. The FEA of the girder was modeled up to this field splice. Therefore, it was assumed that the trunnion-hub assembly would be installed prior to the field splice. Appendix K shows some of the dimensions of the girder, however not everything is shown. The plans for the girder were in meters and were converted to inches. Figure 4.1 shows the ANSYS model of the girder. The girder was divided in half due to symmetry. Some of the detail was left out to simplify the analysis. The diameter of the hole in the girder was 37.402” and the diameter of the trunnion was 37.413”. The girder was made of ASTM A709M Grade 345 steel plate. The material properties found were the same as for the plate (Appendix I).

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41 Figure 4.1 Girder Model 4.3 Heating Model The heating coil arrangement was changed until the hole in the girder expanded to the proper dimension. The heating coil arrangements that did not work are shown in Appendix L. Figure 4.2 shows the final layout of the heating coils. There were 8 coils used each 25’ long. The insulated blankets were only placed over the heating coils. Figure 4.2 Heating Model

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424.4 Mesh The girder was meshed with an 8:1 aspect ratio. The large aspect ratio was used due to the size limits of ANSYS and the computer. The girder, heating coils, and air were 1 element thick. The heating blanket was 2 elements thick. 4.5 Initial Conditions The entire model was set to start at an initial temperature of 80 F. 4.6 Boundary Conditions The model had displacement boundary conditions to constrain it while it was heated. The far right edge of the girder as shown in Figure 4.1 was constrained in the xdirection, the flat surface above the edge was constrained in the y-direction, and the front surface was constrained in the z-direction. The model was convecting heat around all of its boundaries. The convection coefficients were solved for using the same equations as the plate. All surfaces were assumed to be either a vertical or horizontal plate. The equations are given in Appendix I. The convection coefficients were input in to ANSYS as a table with respect to temperature. The heating coils were given a heat generation load of 3mi n 75 3 in Btu This was a stepped boundary condition in ANSYS. 4.7 Time Parameters The time was chosen to be 90 minutes with 3-minute increments. 4.8 Girder Analysis Results The final temperature distribution for the girder is shown in Figure 4.3.

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43 Figure 4.3 Temperature Distribution in the Girder The hub diameter for this girder was 37.413”. The initial diameter of the girder was 37.402”. After applying the heat generation to the coils for 90 minuets using ANSYS, the maximum temperature of the girder was 350 F and the diameter of the hole was 37.428”. This was a change in diameter of 0.026”, which give a 0.015” clearance for the assembly of the hub. It was determined that 2250 mi n BTU were needed to heat the girder enough for the trunnion-hub to be installed within 90 minutes. Using the same coils as in the experiment this power can be obtained with 8 coils.

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44CHAPTER 5 CONCLUSION 5.1 Summary The experiment proved that a steel plate could reasonably be heated enough to install a trunnion-hub assembly. The data was collected from the experiment and compared to theoretical values. This was done to show the accuracy of the experimental data. FEA was used to model the experiment. The temperatures and strains from the experiment were compared to the results from ANSYS; this proved that the parameters were defined correctly in ANSYS. ANSYS was then used to model the girder. Using the same parameter as the FEA model of the experiment a FEA model of a girder was constructed. The configuration and length of the heating coils were changed until the hole in the girder expanded enough for the installation of the trunnion-hub assembly. The FEA model of the girder showed that 202500 BTU were needed for the assembly procedure. This amount of energy was accomplished by using 200’ of coils (8 coils) with a heat generation of 3mi n 75 3 in Btu and heating the girder for 90 minutes. It was also determined that the placement of the coils was very critical in the expansion of

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45 the girder. Therefore each girder must be analyzed prior to the assembly of the trunnionhub. By using resistance heating coils and insulated blankets a girder can easily be heated enough to install a trunnion-hub assembly. The girder can be heated in about 2 hours with 8 heating coils each 25’. 5.2 Recommendations The following are recommendations for future studies: € The full girder should be modeled with all of the braces. This could not be done in this analysis due to the size limitation of our version of ANSYS. However the braces could alter the placement of the coils or even the feasibly of this assembly procedure. € Due to the shape of the girder the layout of the heating coils were the most critical factor in the expansion of the hole. A parametric study should be conducted on the effect of coil placement. € A parametric study should also be conducted on the effect of web and flange thickness on the expansion of the hole.

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46REFERENCES ANSYS Incorporated. 275 Technology Drive; Canonsburg, Pa 15317. Bejan, Adrian. Convection Heat Transfer. New York: John Whiley & Sons, 1995. Collier, Nathaniel Oren. Benefit of Staged Cooling in Shrink Fitted Composite Cylinders. Masters Thesis, University of South Florida, 2004. Davis, Joseph R., et al. Metals Handbook. 10th ed. Materials Park: ASM International, 1990. Denninger, Michael T. Design Tools for Trunnion-Hub-Girder Assemblies of Bascule Bridges. Masters Thesis, University of South Florida, 2000. Gere, James M. Mechanics of Materials. 5th ed. Pacific Grove: Brooks/Cole, 2001. Incropera, Frank P., and David P. DeWitt. Introduction to Heat Transfer. New York: John Whiley & Sons, 2002. MatWeb Material Property Data web site. www.matweb.com. National Instruments Corporation. 11500 N Mopac Expwy; Austin, Texas 78759-3504. Nichani, Sanjeev N. Full Scale Testing of Trunnion Hub Girder Assembly of Bascule Bridge. Masters Thesis, University of South Florida, 2001. Omega Engineering Incorporated. P.O. Box 4047; Stamford, Connecticut 06907-0047. Ratnam, Badri. Parametric finite element modeling of trunnion hub girder assemblies for bascule bridges. Masters Thesis, University of South Florida, 2000. Ugural, Ansel C., and Saul K. Fenster. Advanced Strength and Applied Elasticity. New Jersey: Prentice Hall, 2003. Vishay Intertechnology, Inc. 63 Lincoln Highway; Malvern, PA 19355-2120.

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47APPENDICES

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48Appendix A: Sampling Order for Reading the Transducers Dr. Eason suggested that reading a large voltage followed by a small voltage would produce an error in the readings. A simple test was conducted to determine if the data could be sampled from a thermocouple and then from the adjacent strain gage or if all thermocouples must be sampled first and then all strain gages sampled. To conduct the test eight thermocouples were wired to channels 0 thru 7 and eight 1.5V batteries were wired to channels 8 thru 15. Samples of all sixteen channels were taken in a variety of orders. It was determined that the thermocouples must be sampled separate from a higher voltage. Therefore all thermocouples must first be sampled and then all strain gages could be sampled.

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49Appendix B: Strain Gage Installation with M-Bond 610 Adhesive The installation instructions from Vishay Micro-Measurements are given below. The information not pertaining to this experiment was removed. B.1 Introduction Micro-Measurements M-Bond 610 adhesive is a high-performance epoxy resin, formulated specifically for bonding strain gages and special-purpose sensors. When MBond 610 is properly cured, it is useful for temperatures ranging to +700 F (+370 C) for short periods. In common with other organic materials, life is limited by oxidation and sublimation effects at elevated temperatures. M-Bond 610 is particularly recommended for transducer applications up to +450 F (+230 C). For proper results, the procedures and techniques presented in this bulletin should be used with qualified Micro-Measurements installation accessory products. M-LINE accessories used in this procedure are: CSM-1A Degreaser MJG-2 Mylar Tape Silicon Carbide Paper TFE-1 Teflon Film M-Prep Conditioner A HSC Spring Clamp M-Prep Neutralizer 5A

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50Appendix B: Continued GT-14 Pressure Pads and GSP-1 Gauze Sponges Backup Plates CSP-1 Cotton Applicators B.2 Mixing Instructions M-Bond 610 is a two-component system. These must be mixed as follows: 1. Resin and curing agent bottles must be at room temperature before opening. 2. Using the disposable plastic funnel, empty contents of bottle labeled "Curing Agent" into bottle of resin labeled "Adhesive". Discard funnel. 3. After tightening the brush cap (included separately), thoroughly mix contents of this "Adhesive" bottle by vigorously shaking it for 10 seconds. 4. Mark bottle with date mixed in space provided on the label. Allow this freshly mixed adhesive to stand for at least one hour before using. B.3 Surface Preparation The extensive subject of surface preparation techniques is covered in Instruction Bulletin B-129. Metal surface cleaning procedures usually involve solvent degreasing with CSM-1A Degreaser, abrading, and cleaning with M-Prep Conditioner A, followed by application of M-Prep Neutralizer 5A. When practical, these preparation procedures should be applied to an area significantly larger than that occupied by the gage. Surfaces should be free from pits and irregularities.

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51Appendix B: Continued B.4 Shelf Life and Pot Life At room temperature, M-Bond 610 has a useful storage life of approximately nine months. Once opened and mixed, M-Bond has a room-temperature pot life of six weeks. These periods of adhesive usefulness can often be doubled by refrigeration at +30 to +40 F (0 to +5 C). Never open a refrigerated bottle until it has reached room temperature. B.5 Handling Precautions Epoxy resins and hardeners may cause dermatitis or other allergic reactions, particularly in sensitive persons. The user is cautioned to: (1) avoid contact with either the resin or hardener; (2) avoid prolonged or repeated breathing of the vapors; and (3) use these materials only in well-ventilated areas. If skin contact occurs, thoroughly wash the contaminated area with soap and water immediately. In case of eye contact, flush immediately and secure medical attention. Rubber gloves and aprons are recommended, and care should be taken not to contaminate working surfaces, tools, container handles, etc. Spills should be cleaned up immediately. For additional health and safety information, consult the Material Safety Data Sheet, which is available upon request. B.6 Gage Installation The basic steps for bonding of gages using M-Bond 610 adhesives are given on the following pages.

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52Appendix B: Continued Step 1 Thoroughly degrease the gaging area with solvent, such as CSM-1A Degreaser. All degreasing should be done with uncontaminated solvents thus the use of "one-way" containers, such as aerosol cans, is highly advisable. Step 2 Preliminary dry abrading with 220-grit silicon-carbide paper is generally required if there is any surface scale or oxide. Final abrading is done by using 320-grit siliconcarbide paper on surfaces thoroughly wetted with M-Prep Conditioner A; this is followed by wiping dry with GSP-1 gauze sponges. With a 4H drafting pencil (on aluminum) or a ballpoint pen (on steel), burnish (do not scribe) whatever alignment marks are needed on the specimen. Repeatedly apply Conditioner A and scrub with CSP-1 cotton applicators until a clean tip is no longer discolored. Remove all residue and Conditioner by again slowly wiping through with a gauze sponge. Never allow any solution to dry on the surface because this invariably leaves a contaminating film and reduces chances of a good bond. Step 3 Now apply a liberal amount of M-Prep Neutralizer 5A and scrub with a CSP-1 cotton applicator. With a single slow wiping motion of a GSP-1 gauze sponge, carefully dry this surface. Do not wipe back and forth because this may allow contaminants to be redeposited on the cleaned surface.

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53Appendix B: Continued Step 4 Remove a gage from its mylar envelope with tweezers, making certain not to touch any exposed foil. Place the gage, bonding side down, onto a chemically clean glass plate or empty gage box. If a solder terminal is to be incorporated, position it next to the gage. While holding the gage in position with a mylar envelope, place a short length of MJG-2 mylar tape down over about half of the gage tabs and the entire terminals. Step 5 Remove the gage/tape/terminal assembly by peeling the tape at a shallow angle (about 30) and transferring it onto the specimen. Make sure gage alignment marks coincide with specimen layout lines. If misalignment does occur, lift end of tape at shallow angle until assembly is free. Realign and replace. Use of a pair of tweezers often facilitates this handling. Step 6 Now, by lifting at a shallow angle, peel back one end of the taped assembly so as to raise both gage and terminal. By curling this mylar tape back upon itself, it will remain in position, ready to be accurately repositioned after application of adhesive. Coat the gage backing, terminal, and specimen surface with a thin layer of adhesive. Also coat the foil side of open-faced gages. Do not allow the adhesive applicator to touch the tape mastic. Permit adhesive to air-dry, by solvent evaporation, for 5 to 30 minutes at +75 F (+24 C) and 50% relative humidity. Longer air-drying times are required at lower temperatures and/or higher humidity.

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54Appendix B: Continued Step 7 Return gage/terminal assembly to its original position over layout marks. Use only enough pressure to allow assembly to be tacked down. Overlay gage/terminal area with a piece of thin TFE-1 teflon film. If necessary, anchor Teflon in position with a piece of mylar tape across one end. Cut a 3/32-in (2.5mm) thick GT-14 silicon gum pad and a metal backup plate to a size slightly larger than the gage/terminal areas, and carefully center these over the gage assembly. Larger pads may restrict proper spreading of adhesive, and entrap residual solvents during cure process. Note: Steps 6, 7, and 8 must be completed within 4 hours with M-Bond 610 Step 8 HSC spring clamps can be used to apply pressure during the curing cycle. For transducers, 40 to 50 psi (275 to 350 kN/m 2 ) is recommended. Place clamped gage/specimen into a cool oven and raise temperature to the desired curing level at a rate of 5 to 20 F (3 to 11 C) per minute. Air bubbles trapped in the adhesive, uneven gluelines, and high adhesive film stresses often result from starting with a hot oven. Time-versus-temperature recommendations are given for curing each adhesive. Step 9 Upon completion of the curing cycle, allow even temperature to drop at least 100 F (55 C) before removing specimen. Remove clamping pieces and mylar tape.

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55Appendix B: Continued B.7 Recommended Cure Schedule It should be noted that the following curve represent a range of time-versustemperature; however, the upper limits of both time and temperature should be employed whenever possible, while keeping in mind the possible effect on the heat treat condition of the substrate material. M-Bond 610: Cure at temperature for time period specified by Figure B.1. Figure B.1 Curing Cycles for M-Bond 610 B.8 Post Curing Postcures with the clamping fixture removed are usually required for stable transducer applications. Postcuring can be done following Step 9. M-Bond 610: 2 hours at 50 to 75 F (30 to 40 C) above maximum operating or curing temperature, whichever is greater. B.9 Final Installation Procedures Select an appropriate solder, and attach lead wires. Be sure to remove solder flux with Rosin Solvent. Gage tabs and terminals can be cleaned prior to soldering by light abrading with pumice to remove the adhesive film.

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56Appendix B: Continued B.10 Elongation Capabilities M-Bond 610: 1% at -452 F (-269 C) 3% from room temperature to 500 F (+260 C)

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57Appendix C: Cantilever Beam Experiment An experiment was conducted to verify that the data acquisition system and the strain gage were set up correctly. A strain gage was bonded to a cantilever beam with the following dimensions. W Width of the cantilever beam 1.008 [in] t Thickness of the cantilever beam 0.247 [in] s Distance from fastened end to the center of the strain gage 2.0625 [in] l Distance from fastened end to the applied load 20.9375 [in] The following loads were placed on the end of the beam and the strains were recorded for each increment (0N, 2.5N, 7.5N, 12.5N, 17.5N, 12.5N, 7.5N, 2.5N, 0N). The theoretical strain was found and compared to the experimental for each of the increments. The percent difference between the two was less than 9%. This proves that the strain gage and the data acquisition system were operating correctly.

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58Appendix D: Determining the Apparent Thermal Strain of a Strain Gage When a strain gage is heated it expands and creates apparent thermal strain. This apparent thermal strain must be accounted for when measuring the thermal expansion of a material. To determine the thermal expansion of a strain gage, the gage must be bonded to a titanium silicate bar and heated to a variety of temperatures. The titanium silicate has a coefficient of thermal expansion of approximately 0.017 0.017*10-6 /F between 32F and 390F. This is small enough compared to that of steel that it can be neglected. The titanium silicate also has a very low thermal conductivity. The strain gage was bonded to the titanium silicate bar and heated. This will cause the strain gage to expand while the titanium silicate will prevent it from doing so. The strain induced into the gage from the heat and titanium silicate is the thermal expansion of the strain gage. The experiment was conducted twice, first for the rosette strain gage and then for the single axes strain gage. The following is the procedure for this experiment. To bond the strain gage to the titanium silicate the following steps were recommended by Vishay: Step 1: CSM-1A Degreaser Step 2: 220-Grit Abrasive Paper Step 3: Gage Location Layout

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59Appendix D: Continued Step 4: Conditioner A (Scrub) Step 5: Neutralizer 5A Appendix B has a detailed description for each step. The strain gage was wired to the data acquisition system. A thermocouple was also wired to the data acquisition system and attached to the titanium silicate. See section 2.2.6 for the wiring directions. The initial strains were taken at room temperature, and then the strains were recorded for 200F to 500F at 50F increments. Due to the low thermal conductivity of the titanium silicate it must be held at a constant temperature for 45 minutes before a reading can be taken. Figure D.1 shows the relationship between temperature and apparent thermal strain for the rosette strain gage. -4000 -3500 -3000 -2500 -2000 -1500 -1000 -500 0 0100200300400500600 Temp [F]microstrain Tangential Radial Shear Figure D.1 Apparent Thermal Strain for the Rosette Strain Gage

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60Appendix D: Continued The following equations for the apparent thermal strain are from the linear regressions in Figure D.1. Equation D.1 is the apparent thermal strain in the tangential direction, Equation D.2 is in the radial direction, and Equation D.3 is in the shear direction. 04 474 8865 7,+ Š = Tt app (D.1)5 558 2094 7,+ Š = Tr app (D.2)14 520 7725 6,+ Š = Tapp (D.3) Figure D.2 shows the relationship between temperature and apparent thermal strain for the single axes strain gage. -3500 -3000 -2500 -2000 -1500 -1000 -500 0 0100200300400500600 Temp [F]microstrain Figure D.2 Apparent Thermal Strain for the Single Axes Strain Gage

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61Appendix D: Continued Equation D.4 is the apparent thermal strain for the single axes strain gage. 32 618 6745 7,+ Š = Ts app (D.4)

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62Appendix E: List of Equipment Table E.1 List of Equipment Part Number Description Supplier Quantity ASTM A36 Steel Plate 60” x 60” x ” Steward Machine Co. 1 ASTM A148 TrunnionHub Assembly Steward Machine Co. 1 TFCC-020 Constantan Thermocouple Wire Omega 200 ft TFCH-020 Chromega Thermocouple Wire Omega 200 ft WK-06125RA-350 Rosette Strain Gage Vishay 8 WK-06250BG-350 Single Axes Strain Gage Vishay 8 Angle Grinder 1 Grinding Disk 1 120 Grit-Sanding Disk 1 240 Grit Disk Sander 1 CSM-1A Degreaser Vishay 1 SCP-1 220 Silicon-Carbide Paper Vishay 1 SCP-2 320 Silicon-Carbide Paper Vishay 1 MCA-2 Conditioner A Vishay 1 GSP-1 Gauze Vishay 2 CSP-1 Cotton Tip Applicators Vishay 2 MN5A-2 Neutralizer 5A Vishay 1 Tweezers 1 CPF-100C Solder Tabs Vishay 1 MJG-2 Mylar Tape Vishay 1 M-Bond 610 Strain Gage Adhesive Vishay 1 TFE-1 Teflon Sheet Vishay 1 GT-14 Pressure Pads and Plates Vishay 1 Cinder Blocks 6 Resistance Heating Coils 2 Welder 1 OB200-2 Thermocouple Adhesive Omega 1 430-FST High Temperature Wire Vishay 200 ft 426-DFV Lead Wire Vishay 200 ft

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63Appendix E: Continued Table E.1 Continued Part Number Description Supplier Quantity 570-28R High Temperature Solder Vishay 60 ft Soldering Gun 1 S-350 350 Resistor Vishay 32 DAQCard-AI-16XE50 Data Acquisition Card National Instruments 1 SCXI 1000 Chassis National Instruments 1 SCXI 1122 Module National Instruments 3 SCXI 1322 Terminal Block National Instruments 3 Inspiron 7500 Laptop Computer Dell 1 4” Fiberglass Strip 20 ft 4” Angle Iron 10 ft Insulated Blankets 2

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64Appendix F: Determination of Number of Lead Wires To verify if remote sensing was needed a simple test was conducted. The 30 gage lead wires used during the experiment would not be any longer than 15’. A cantilever beam experiment was set up with one strain gage on it. Four weights were placed on the cantilever beam and the strain was recorded for each increment. The weights were removed and the strain was again recorded for each increment. This was done with a 3’ lead wire and with a 20’ lead wire. The experimental strain was compared with the data from the 3’ and 20’ lead wires, they were within 5%. It was determined that the lead wire resistance did not change significantly between the two lengths. Therefore remote sensing was not necessary and three lead wires could be used for the experiment.

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65Appendix G: Experimental Results Figures G.1-G.32 shows the temperatures and strains plotted for each position with respect to time. 50 100 150 200 250 020406080100 Time [min]Temp [F] Figure G.1 Temperature at Location 0 0 200 400 600 800 1000 1200 1400 020406080100 Time [min]microstrain S0-225 S0-180 S0-135 Figure G.2 Strains at Location 0

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66Appendix G: Continued 50 100 150 200 250 300 020406080100 Time [min]Temp [F] Figure G.3 Temperature at Location 1 0 200 400 600 800 1000 1200 1400 1600 020406080100 Time [min]microstrain Figure G.4 Strain at Location 1, = 225

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67Appendix G: Continued 50 100 150 200 250 300 020406080100 Time [min]Temp [F] Figure G.5 Temperature at Location 2 0 400 800 1200 1600 2000 020406080100 Time [min]microstrain Figure G.6 Strain at Location 2, = 225

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68Appendix G: Continued 50 100 150 200 250 300 350 020406080100 Time [min]Temp [F ] Figure G.7 Temperature at Location 3 0 200 400 600 800 1000 1200 1400 1600 1800 2000 020406080100 Time [min]microstrain Figure G.8 Strain at Location 3, = 225

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69Appendix G: Continued 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F ] Figure G.9 Temperature at Location 4 0 500 1000 1500 2000 2500 020406080100 Time [min]microstrain S4-225 S4-180 S4-135 Figure G.10 Strain at Location 4

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70Appendix G: Continued 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F ] Figure G.11 Temperature at Location 5 0 500 1000 1500 2000 2500 020406080100 Time [min]microstrain Figure G.12 Strain at Location 5, = 225

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71Appendix G: Continued 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F ] Figure G.13 Temperature at Location 6 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain Figure G.14 Strain at Location 6, = 225

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72Appendix G: Continued 50 100 150 200 250 300 350 400 450 500 020406080100 Time [min]Temp [F ] Figure G.15 Temperature at Location 7 0 500 1000 1500 2000 2500 3000 3500 020406080100 Time [min]microstrain Figure G.16 Strain at Location 7, = 225

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73Appendix G: Continued 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F] Figure G.17 Temperature at Location 8 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain S8-225 S8-180 S8-135 Figure G.18 Strains at Location 8

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74Appendix G: Continued 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F] Figure G.19 Temperature at Location 9 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain S9-225 S9-180 S9-135 Figure G.20 Strains at Location 9

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75Appendix G: Continued 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F] Figure G.21 Temperature at Location 10 0 500 1000 1500 2000 2500 020406080100 Time [min]microstrain S10-90 S10-45 S10-0 Figure G.22 Strains at Location 10

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76Appendix G: Continued 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F] Figure G.23 Temperature at Location 11 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain S11-90 S11-45 S11-0 Figure G.24 Strains at Location 11

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77Appendix G: Continued 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F ] Figure G.25 Temperature at Location 12 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain Figure G.26 Strain at Location 12, = 90

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78Appendix G: Continued 50 100 150 200 250 300 350 400 450 020406080100 Time [min]Temp [F ] Figure G.27 Temperature at Location 13 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain S13-90 S13-45 S13-0 Figure G.28 Strains at Location 13

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79Appendix G: Continued 50 100 150 200 250 300 350 400 020406080100 Time [min]Temp [F ] Figure G.29 Temperature at Location 14 0 500 1000 1500 2000 2500 020406080100 Time [min]microstrain Figure G.30 Strain at Location 14, = 90

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80Appendix G: Continued 50 100 150 200 250 300 350 020406080100 Time [min]Temp [F] Figure G.31 Temperature at Location 15 0 500 1000 1500 2000 2500 020406080100 Time [min]microstrain S15-90 S15-45 S15-0 Figure G.32 Strains at Location 15

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81Appendix H: Comparison of ANSYS to Theoretical Examples To verify the results of ANSYS a few simple calculation were preformed and then compared to the results produced by ANSYS. The thermal expansion of a bar was theoretically calculated and compared to ANSYS (Figure H.1). This checked the structural component of ANSYS. To check the accuracy of the coupled field analysis the bar was constrained on the ends and then heated. The theoretical stress was compared to ANSYS. A simple heat transfer problem was solved and compared to the ANSYS results. Structural Analysis Figure H.1 Steel Bar The bar was heated from 80F to 400F. Theoretical: Thermal Expansion: Equation H.1 solves for the change in length of the bar (Gere 2001). L =12in =7.50610-6 F in in T =320F E =29106 2in lbf L T) ( = H.1 Therefore # =0.029in

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82Appendix H: Continued ANSYS: Start>All Programs>ANSYS 8.0>ANSYS ANSYS Main Menu>Preferences Preferences for the GUI Filtering>Individual discipline(s) to show in the GUI Structural Thermal OK ANSYS Main Menu>Preprocessor>Element Types>Add/Edit/Delete Element Types>Add… Library of Element Types>Coupled Field>Scalar Tet 98>OK Close ANSYS Main Menu>Preprocessor>Material Props>Material Models Material Models Available>Structural>Linear>Elastic>Isotropic EX = 29e6 PRXY = 0.26 OK Material Models Available>Structural>Thermal Expansion>Secant Coefficient>Isotropic Reference temperature = 80 ALPX = 7.506e-6 OK Material Models Available>Thermal>Conductivity>Isotropic Temperature 32 212 392 KXX 4.1649e-2 4.0205e-2 3.884e-2 OK Material>Exit ANSYS Main Menu>Preprocessor>Modeling>Create>Volumes>Block> By Centr,Cornr,Z WP X = 0 WP Y = 0 Width = 12 Height = 1 Depth = 1 OK ANSYS Main Menu>Preprocessor>Meshing>Mesh Tool Smart Size = 4 Mesh>Pick All Close ANSYS Main Menu>Solution>Analysis Type>New Analysis ANTYPE>Steady-State OK ANSYS Main Menu>Solution>Define Loads>Apply>Structural>Displacement>

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83Appendix H: Continued On Areas Apply U,ROT on Areas A5 OK Lab2 DOFs to be constrained>UX OK ANSYS Main Menu>Solution>Define Loads>Apply>Structural>Displacement> On Areas Apply U,ROT on Areas A3 OK Lab DOFs to be constrained>UY OK ANSYS Main Menu>Solution>Define Loads>Apply>Structural>Displacement> On Areas Apply U,ROT on Areas A1 OK Lab DOFs to be constrained>UZ OK ANSYS Main Menu>Solution>Define Loads>Apply>Thermal>Temperature>On Areas Apply Temp on Areas>Pick All Lab2 DOFs to be constrained>TEMP VALUE = 400 OK ANSYS Main Menu>Solution>Solve>Current LS>OK Verify: A check of the load data…>Yes ANSYS Main Menu>General Postproc>List Results>Nodal Solution>OK PRNSOL Command Node 3 UX = 0.28823E-01 The displacement is the same as the theoretical calculations. Only a few changes will be made to this model for the coupled field analysis.

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84Appendix H: Continued Coupled Field Analysis Figure H.2 Constrained Steel Bar The bar was heated from 80F to 400F with the ends constrained in the x-axis (Figure H.2). Theoretical: Thermal Stress: Equation H.2 solves for the thermal stress in the beam (Gere 2001). L E = H.2 Therefore $ = 6.966 104 2in lbf ANSYS: ANSYS Main Menu>Solution>Define Loads>Delete>All Load Data>All Loads & Opts> OK ANSYS Main Menu>Solution>Define Loads>Apply>Structural>Displacement> On Areas Apply U,ROT on Areas>A5>OK Lab2 DOFs to be constrained>UX>OK ANSYS Main Menu>Solution>Define Loads>Apply>Structural>Displacement> On Areas Apply U,ROT on Areas>A6>OK Lab2 DOFs to be constrained>UX>OK ANSYS Main Menu>Solution>Define Loads>Apply>Thermal>Temperature>On Areas Apply Temp on Areas>Pick All Lab2 DOFs to be constrained>TEMP VALUE = 400 OK ANSYS Main Menu>Solution>Solve>Current LS>OK Verify: A check of the load data…>Yes Close the warning screen

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85Appendix H: Continued ANSYS Main Menu>General Postproc>List Results>Nodal Solution List Nodal Solution Item, Comp Item to be listed = Stress>Components SCOMP>OK SX = -69656 The theoretical value is the same as produced by ANSYS Heat Transfer Analysis Figure H.3 Heated Steel Plate The plate was 80 F on one side and 400 F on the other. The heat flux was calculated. Theoretical: Heat Flux: Equation H.3 solves for the heat flux through the plate (Incropera & DeWitt 2002). k = 410-2 F in BTU mi n % T =320 F L = 2in L T k q =" H.3

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86Appendix H: Continued ANSYS: Start>All Programs>ANSYS 8.0>ANSYS ANSYS Main Menu>Preferences Preferences for the GUI Filtering>Individual discipline(s) to show in the GUI Structural Thermal OK ANSYS Main Menu>Preprocessor>Element Types>Add/Edit/Delete Element Types>Add… Library of Element Types>Coupled Field>Scalar Tet 98>OK Close ANSYS Main Menu>Preprocessor>Material Props>Material Models Material Models Available>Structural>Linear>Elastic>Isotropic EX = 29e6 PRXY = 0.26 OK Material Models Available>Structural>Thermal Expansion>Secant Coefficient>Isotropic Reference temperature = 80 ALPX = 7.506e-6 OK Material Models Available>Thermal>Conductivity>Isotropic Temperature 32 212 392 KXX 4.1649e-2 4.02045e-2 3.88404e-2 OK Material>Exit ANSYS Main Menu>Preprocessor>Modeling>Create>Volumes>Block> By Centr,Cornr,Z WP X = 0 WP Y = 0 Width = 2 Height = 6 Depth = 8 OK ANSYS Main Menu>Preprocessor>Meshing>Mesh Tool Smart Size = 4 Mesh>Pick All Close ANSYS Main Menu>Solution>Analysis Type>New Analysis ANTYPE>Steady-State OK ANSYS Main Menu>Solution>Define Loads>Apply>Thermal>Temperature>On Areas

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87Appendix H: Continued Apply Temp on Areas>A5>OK Lab2 DOFs to be constrained>TEMP VALUE = 80 OK ANSYS Main Menu>Solution>Define Loads>Apply>Thermal>Temperature>On Areas Apply Temp on Areas>A6>OK Lab2 DOFs to be constrained>TEMP VALUE = 400 OK ANSYS Main Menu>Solution>Solve>Current LS>OK Verify: A check of the load data…>Yes Close the warning screen ANSYS Main Menu>General Postproc>List Results>Nodal Solution List Nodal Solution Item, Comp Item to be listed>Flux & gradient>All ther flux TF>OK TFSUM = 6.4 The theoretical value is the same as the ANSYS value

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88Appendix I: Material Properties The steel plate used in the experiment was ASTM A36 Carbon Steel. The material properties were found in Davis (150, 196, 197, 198) and on the MatWeb website. On the MatWeb website the properties were found under A36 Carbon Steel Plate. ASTM A36 Carbon Steel Plate was not found in the Metals Handbook. SAE-AISI 1026 has the composition closest to the ASTM A36, so those material properties were used. Modulus of Elasticity = 29e6 2in lbm Poisson’s Ratio = 0.26 Density = 0.284 3in lbm Thermal Expansion Coefficient = 7.506e-6 F in in Thermal Conductivity = 4.1649e-2 F in BTU mi n @ 32F, 4.0205e-2 F in BTU mi n @ 212F, 3.884e-2 F in BTU mi n @ 392F Specific Heat = 0.13 F lbm BTU

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89Appendix I: Continued The resistance heating coils were composed of steel wires covered by a ceramic shell. To model the coils in ANSYS only the material properties for the ceramic shell were used because all of the heat was conducted through them. The exact type of ceramic was not known so the properties were used for GE Advanced Ceramics HBN Hot-Pressed Boron Nitride. These material properties can be found on the MatWeb website. Density = 0.0759 3in lbm Thermal Conductivity = 0.04734 F in BTU mi n Specific Heat = 0.193 F lbm BTU The insulation blankets were made of fiberglass. The material properties used were for Eglass and can be found on the MatWeb website. Density = 0.09285 3in lbm Thermal Conductivity = 0.00104 F in BTU mi n Specific Heat = 0.194 F lbm BTU

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90Appendix I: Continued The properties for air were found in Bejan (1995) (Table I1). Table I.1 Properties of Air Temperature F Density 3in lbm Thermal Conductivity F in BTU mi n Specific Heat F lbm BTU 68 4.3535e-5 2.0076e-5 0.24023 86 4.2090e-5 2.0879e-5 0.24023 140 3.8296e-5 2.2486e-5 0.24071 212 3.4178e-5 2.5698e-5 0.24143 392 2.6952e-5 3.1319e-5 0.24477 572 2.2255e-5 3.6138e-5 0.24955 932 1.6475e-5 4.4971e-5 0.26101 1832 1.0008e-5 6.1032e-5 0.28298 The convection coefficient was solved for using the following equations from Bejan. All material properties were determined at the average surface to air temperature. The convection coefficients for the sides of the experimental model are calculated below. The average Nusselt number for the sides of the model was determined from Equation I.1 (Bejan 1995). 9 4 16 9 4 1Pr 492 0 1 67 0 68 0 ! # $ $ % & ( ) + + + =y yRa Nu (I.1) The Rayleigh number with respect to height is shown in Equation I.2 (Bejan 1995). = T y g Ray 3 (I.2)

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91Appendix I: Continued The convection coefficient for the sides of the model is shown in Equation I.3 (Bejan 1995). y k Nu hy y = (I.3) The convection coefficients for the top of the experimental model are calculated below. The average Nusselt number for the top of the model was determined from Equation I.4 (Bejan 1995). 3 115 0L LRa Nu = (I.4) The Rayleigh number with respect to length is shown in Equation I.5 (Bejan 1995). = T L g RaL3 (I.5) Where the length is defined by Equation I.6 (Bejan 197). p A L = (I.6) The convection coefficient for the top of the model is shown in Equation I.7 (Bejan 199). L k Nu hL L = (I.7) The convection coefficients for the bottom of the experimental model are calculated below. The average Nusselt number for the bottom of the model was determined from Equation I.8 (Bejan 1995).

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92Appendix I: Continued 4 127 0L LRa Nu = (I.8) The convection coefficients used in the experimental model are shown in Table I.2. Table I.2 Convection Coefficients Temperature F Sides F in BTU 2mi n Top F in BTU 2mi n Bottom F in BTU 2mi n 70 2.5984E-06 0 0 102 9.3211E-05 9.3212E-05 3.6494E-05 210 1.2808E-04 1.4071E-04 5.0630E-05 354 1.5417E-04 1.7260E-04 6.1015E-05 714 1.6672E-04 1.7946E-04 6.6011E-05

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93Appendix J: Finite Element Analysis vs. Experimental Results The FEA vs. experimental results are plotted below. For the strains the positive x-axis corresponds to a theta of zero degrees with theta increasing counterclockwise. The largest percent difference between the experimental temperature and the theoretical temperature was 23%. 50.00 100.00 150.00 200.00 250.00 300.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.1 Temperature at Location 0

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94Appendix J: Continued -200 0 200 400 600 800 1000 1200 1400 1600 1800 2000 020406080100 Time [min]microstrain Experimental FEA Figure J.2 Strain at Location 0, = 225 -200 0 200 400 600 800 1000 1200 1400 1600 1800 2000 020406080100 Time [min]microstrain Experimental FEA Figure J.3 Strain at Location 0, = 180

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95Appendix J: Continued -200 0 200 400 600 800 1000 1200 1400 1600 1800 2000 020406080100 Time [min]microstrain Experimental FEA Figure J.4 Strain at Location 0, = 135 50.00 100.00 150.00 200.00 250.00 300.00 350.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.5 Temperature at Location 1

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96Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.6 Strain at Location 1, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.7 Temperature at Location 2

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97Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.8 Strain at Location 2, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.9 Temperature at Location 3

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98Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 020406080100 Time [min]microstrain Experimental FEA Figure J.10 Strain at Location 3, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 020406080100 Time [min]Temp [F] FEA Experimential Figure J.11 Temperature at Location 4

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99Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.12 Strain at Location 4, = 225 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.13 Strain at Location 4, = 180

PAGE 116

100Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.14 Strain at Location 4, = 135 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.15 Temperature at Location 5

PAGE 117

101Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.16 Strain at Location 5, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimential Figure J.17 Temperature at Location 6

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102Appendix J: Continued 0 500 1000 1500 2000 2500 3000 020406080100 Time [min]microstrain Experimental FEA Figure J.18 Strain at Location 6, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 500.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.19 Temperature at Location 7

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103Appendix J: Continued -200 200 600 1000 1400 1800 2200 2600 3000 3400 020406080100 Time [min]microstrain Experimental FEA Figure J.20 Strain at Location 7, = 225 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.21 Temperature at Location 8

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104Appendix J: Continued 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.22 Strain at Location 8, = 225 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.23 Strain at Location 8, = 180

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105Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600 020406080100 Time [min]microstrain Experimental FEA Figure J.24 Strain at Location 8, = 135 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.25 Temperature at Location 9

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106Appendix J: Continued -200 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.26 Strain at Location 9, = 225 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.27 Strain at Location 9, = 180

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107Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.28 Strain at Location 9, = 135 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.29 Temperature at Location 10

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108Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.30 Strain at Location 10, = 90 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.31 Strain at Location 10, = 45

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109Appendix J: Continued 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.32 Strain at Location 10, = 0 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.33 Temperature at Location 11

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110Appendix J: Continued 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.34 Strain at Location 11, = 90 0 400 800 1200 1600 2000 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.35 Strain at Location 11, = 45

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111Appendix J: Continued -200 200 600 1000 1400 1800 2200 2600 020406080100 Time [min]microstrain Experimental FEA Figure J.36 Strain at Location 11, = 0 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.37 Temperature at Location 12

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112Appendix J: Continued 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.38 Strain at Location 12, = 90 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.39 Temperature at Location 13

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113Appendix J: Continued 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.40 Strain at Location 13, = 90 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.41 Strain at Location 13, = 45

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114Appendix J: Continued 0 400 800 1200 1600 2000 2400 2800 020406080100 Time [min]microstrain Experimental FEA Figure J.42 Strain at Location 13, = 0 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.43 Temperature at Location 14

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115Appendix J: Continued 0 400 800 1200 1600 2000 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.44 Strain at Location 14, = 90 50.00 100.00 150.00 200.00 250.00 300.00 350.00 020406080100 Time [min]Temp [F] FEA Experimental Figure J.45 Temperature at Location 15

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116Appendix J: Continued -200 200 600 1000 1400 1800 2200 020406080100 Time [min]microstrain Experimental FEA Figure J.46 Strain at Location 15, = 90 0 400 800 1200 1600 2000 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.47 Strain at Location 15, = 45

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117Appendix J: Continued 0 400 800 1200 1600 2000 2400 020406080100 Time [min]microstrain Experimental FEA Figure J.48 Strain at Location 15, = 0

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118Appendix K: Girder Dimensions Figure K.1 Girder Dimensions

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119Appendix L: FEA Heating Arrangements Attempted on the Girder The position of the heating coils on the girder was critical in the expansion of the girder. Below are a few of the attempted coil positions. The layout in Figure L.1 caused the hold to turn into an oval. The x-direction diameter was shrunk while the y-direction diameter was enlarged. Figure L.1 1st Heating Coil Arrangement The layout in Figure L.2 also caused the hold to turn into an oval. Again the xdirection diameter was shrunk while the y-direction diameter was enlarged. Figure L.2 2nd Heating Coil Arrangement

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120Appendix M: Experimental Data Table M.1 Experimental Data Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 917.15 -7.762 -13.9 -13.358-7.311 -1.534 -18.86412.133 -2.328 919.123 -6.95 -16.427 -5.145 2.166 -4.603 -5.235 23.278 -12.062 921.1 -9.929 -7.672 -4.964 -6.589 -6.499 -4.423 -2.892 8.959 924 0.632 -9.929 -4.964 -1.625 9.207 4.784 25.606 0.917 927 -5.416 -9.748 -13.449-11.9145.235 9.748 41.973 -0.141 930 8.575 2.888 4.062 20.76 48.292 26.267 39.221 -16.153 933 -0.993 -24.731 -25.99418.955 45.132 17.15 28.569 -23.912 936 -2.347 -13.99 -23.196-682.44767.52 53.618 40.138 -29.414 939.002 17.962 -10.019 -21.48268.332 125.56967.881 45.853 -30.401 942 22.836 -0.271 -12.18586.477 123.85378.082 50.438 -27.58 945 21.031 -12.636 -36.46475.915 123.31274.922 52.696 -45.284 948 28.704 -5.686 -13.26899.297 145.61284.491 1.975 -31.177 951.002 21.483 -17.149 -22.11396.137 137.39694.422 56.928 -52.055 954 30.328 -2.347 -24.37 104.082145.97392.255 58.269 -57.345 957 28.252 -5.777 -31.771103.45 137.66784.943 47.828 -64.892 960 28.162 -14.351 -25.453100.922128.54876.366 40.773 -85.345 963.001 20.219 -28.251 -45.30997.672 111.39550.819 21.303 -94.302 966 20.49 -21.301 -52.61998.484 139.11265.353 41.197 -92.115 969 15.886 -27.258 -59.29887.38 106.97139.446 12.415 -111.58 972 -14.532 -59.659 -90.61342.966 66.978 4.513 -32.8 -133.089 975 -23.738 -53.071 -72.56462.645 74.29 9.748 -9.17 -127.025 978 -8.214 -53.341 -64.89342.063 49.104 -17.059-40.77 -132.173 981 4.152 -44.406 -77.07766.617 70.318 4.784 -4.021 -126.108 984 8.033 -28.161 -59.93 96.227 99.297 27.982 30.544 -119.902 987 -10.109 -51.807 -75.00168.152 73.839 1.444 7.336 -140.141 990 7.04 -25.904 -55.59893.068 93.88 5.506 31.038 -137.391 993 6.408 -35.2 -68.95481.151 84.672 1.534 24.548 -138.59 996 -12.546 -50.453 -76.35564.721 60.117 -15.34429.416 -146.911 999 -4.152 -43.233 -74.27980.158 61.833 -20.48934.354 -155.444 1002 -10.38 -41.969 -81.22865.895 60.208 -25.99429.204 -164.047 1005 -17.149 -58.846 -89.07953.528 39.175 -38.17933.013 -173.566 1008 -6.138 -59.298 -89.16953.618 34.571 -45.48934.706 -174.765 1011 -30.237 -67.51 -95.21645.674 22.566 -64.261-45.425 -184.989 1014 -11.373 -50.363 -87.54546.306 22.024 -64.80347.546 -186.047 1017 -36.103 -60.742 -100.90128.794 -3.069 -78.97234.918 -201.912 1020 -25.724 -63.088 -98.91633.037 6.138 -79.33344.442 -199.938

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121Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1023 -40.616 -63.72 -92.05726.176 -3.701 -80.23529.768 -203.816 1026 -46.031 -67.33 -94.2238.665 -30.327-97.74346.276 -191.758 1029 -36.645 -68.954 -92.599-3.069 -49.46 -120.66434.918 -197.399 1032 -58.756 -77.618 -110.376-24.731-95.848-160.00644.935 -206.284 1035 -56.59 -60.742 -75.994-48.648-117.415-187.526-33.434 -203.111 1038 -64.352 -79.694 -94.043-46.211-117.054-179.04530.262 -213.546 1041 -66.427 -71.391 -85.199-39.442-105.864-159.55541.831 -216.084 1044 -54.876 -66.337 -71.12 -37.728-89.35 -139.52350.085 -217.354 1047 -70.308 -86.101 -92.509-35.562-110.377-140.96748.886 -225.462 1050 -73.557 -76.625 -92.509-71.391-125.176-155.76542.607 -229.904 1053 -57.132 -81.679 -88.267-60.652-111.098-141.9642.96 -220.033 1056 -79.513 -96.209 -106.316-50.543-104.601-133.47837.034 -236.39 1059 -47.565 -69.947 -93.952-16.878-57.854-77.88948.815 -206.989 1062 -47.475 -82.762 -108.842-4.332 -50.995-72.02343.454 -225.955 1065 -58.395 -88.087 -103.9694.513 -34.388-67.05944.301 -227.436 1068 -57.944 -85.379 -105.4132.708 -32.493-62.09652.202 -226.026 1071 -49.551 -73.467 -110.196-2.798 -39.172-63.63 51.214 -238.435 1074 -56.5 -94.223 -112.542-6.86 -41.608-71.57237.881 -239.21 1077 -59.839 -92.057 -125.2668.485 -28.973-42.42150.579 -217.636 1080 -56.771 -96.93 -126.8911.644 -28.07 -33.75642.466 -230.186 1083 -56.771 -101.352-145.20836.196 -27.529-28.61225.183 -236.32 1086 -49.731 -101.262-145.47930.78 -30.056-30.14630.685 -237.307 1089 -63.088 -101.352-132.6650.18 -52.078-56.32 21.868 -235.756 1092 -67.24 -99.548 -117.596-20.85 -62.005-86.73342.819 -234.416 1095 -80.867 -98.916 -115.971-39.081-77.618-100.4545.288 -227.013 1098 -94.945 -1557.248-121.205-64.623-110.828-124.63432.661 -233.5 1101 -91.155 -103.157-115.159-64.532-117.235-126.8931.532 -249.293 1104 -80.777 -87.274 -112.272-49.821-90.613-92.77953.472 -238.646 1107 -89.711 -103.338-124.003-49.641-73.467-73.37723.137 -231.243 1110 -69.225 -1557.248-135.012-3.52 -27.529-8.575 33.93 -239.704 1113 -64.803 -109.113-143.85522.927 15.074 45.855 51.496 -224.686 1116 -66.608 -105.503-149.99129.155 32.224 62.735 40.914 -236.249 1119 -63.449 -117.144-166.41334.752 57.59 93.338 37.317 -239.352 1122 -77.257 -129.236-168.39828.162 58.583 89.276 34.283 -249.504 1125 -81.499 -134.199-172.54829.697 55.152 102.54743.666 -248.87 1128 -103.428 -154.412-184.278-7.131 18.052 57.77 29.486 -255.356 1131 -87.996 -131.943-163.52510.922 23.739 58.763 38.234 -237.659 1134 -101.172 -1557.248-159.555-25.092-22.8352.437 43.172 -248.517 1137 -114.708 -126.71 -152.246-40.706-53.251-35.29145.218 -239.069 1140 -114.347 -125.717-145.028-64.623-90.884-87.18448.11 -248.87

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122Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1143 -117.325 -141.148-151.705-51.626-107.579-91.60644.865 -238.505 1146 -116.874 -1557.248-150.803-73.106-123.822-116.24247.193 -247.742 1149 -107.128 -128.244-151.705-61.554-109.203-105.68451.355 -243.441 1152 -104.872 -137.448-170.293-48.558-110.286-91.87738.516 -253.523 1155 -107.579 -144.757-184.007-36.374-115.43-106.04537.458 -261.278 1158 -98.104 -146.471-179.947-28.251-108.03-101.17229.486 -257.964 1161 -111.189 -147.554-193.12-35.2 -114.437-100.2735.553 -256.907 1164 -119.942 -156.036-205.932-32.493-108.842-115.97140.914 -250.914 1167 -113.084 -155.675-205.571-34.388-129.688-127.25127.017 -261.56 1170 -103.067 -144.306-201.601-36.915-135.553-140.87735.2 -251.126 1173 -115.43 -165.962-216.939-47.024-140.877-142.6827.266 -249.857 1176 -121.296 -157.66 -201.331-50.904-159.736-168.03719.892 -246.966 1179 -133.117 -202.594-248.876-70.579-171.105-197.81236.047 -248.376 1182 41.792 -109.474-178.954-44.497-135.914-157.751734.365 -333.537 1185 993.327 147.147 -47.0239.207 -85.65 -106.226586.105 -314.151 1188 998.483 171.706 -28.79220.941 -86.101-111.82557.362 -324.796 1191 1051.486 172.519 -23.8289.929 -93.321-110.557549.453 -317.958 1194 1053.656 164.573 -29.5147.401 -83.033-97.382544.439 -320.707 1197 1046.872 176.762 -10.38 13.178 -65.074-84.026550.23 -316.407 1200 1088.663 213.062 12.005 13.268 -59.388-75.362569.58 -325.994 1203 1124.487 213.242 12.366 24.552 -51.897-60.381573.534 -324.091 1206 1149.275 208.908 2.347 22.295 -54.514-63.088577.348 -333.255 1209 1156.513 228.051 15.345 23.198 -63.63 -66.247560.611 -328.039 1212 1176.327 239.791 20.219 34.391 -37.908-51.536570.286 -334.383 1215 1229.349 252.705 32.405 41.341 -18.232-36.735594.439 -320.284 1218 1189.718 -1557.248182.541107.78319.948 -1.805 584.057 -320.214 1221 1180.127 237.533 27.982 43.056 -14.893-19.586574.805 -327.334 1224 1227.63 261.736 42.785 61.291 -0.812 -12.546580.314 -318.945 1227 1330.704 286.932 58.673 81.422 10.2 8.846 637.239 -319.509 1230 1385.191 -1557.248237.262153.55774.381 31.502 670.012 -315.42 1233 1443.848 305.266 70.318 77.54 24.01 3.701 675.734 -336.357 1236 1481.418 316.466 88.825 90.901 40.619 18.865 709.57 -341.784 1239 1489.475 322.156 81.603 84.401 20.219 5.867 697.914 -339.881 1242 1495.631 326.762 89.727 103.72152.264 36.828 726.948 -317.747 1245 1537.098 346.633 104.894104.44354.069 28.433 736.131 -322.752 1248 1566.616 349.975 107.33299.026 49.826 36.286 752.874 -321.906 1251 1588.348 358.375 113.651111.84665.443 40.438 763.895 -321.835 1254.002 1458.242 354.311 107.512103.99165.443 42.424 791.59 -321.553 1257 1677.187 378.609 131.166121.50671.131 41.341 798.161 -322.329 1260 1692.675 375.718 110.04 113.11 58.944 33.488 789.824 -341.15

PAGE 139

123Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1263 1681.897 373.46 122.589112.92963.096 34.661 803.743 -326.065 1266.001 1444.663 372.557 131.979121.32569.415 46.938 805.156 -311.12 1269 1727.818 398.572 131.889136.04284.04 64.631 824.091 -301.462 1272 1762.239 409.232 146.786130.08383.318 57.409 836.669 -313.094 1275 1808.438 417.633 155.002135.95190.991 64.631 858.715 -303.789 1278 1662.787 416.368 157.35 143.987106.7 69.415 882.952 -304.353 1281 1831.087 426.215 160.239144.25896.318 54.159 853.98 -307.102 1284 1790.955 416.91 149.133137.93883.679 54.25 864.721 -300.052 1287 1771.478 419.801 143.265128.18789.366 51.271 840.767 -306.186 1290 1708.888 398.03 139.292128.00682.415 51.812 819.146 -196.271 1293 1628.011 380.054 131.166135.95182.144 47.389 780.569 -305.481 1296 1730.173 411.761 148.953138.20997.04 59.215 814.341 -283.768 1299 1764.231 408.87 152.925142.091103.81166.166 838.294 -285.107 1302 1824.745 428.474 167.914152.384112.56881.603 693.322 -281.512 1305 1807.623 416.639 158.072156.35699.116 53.979 849.246 -287.081 1308 1807.986 412.303 150.307138.931103.45 71.943 853.203 -284.402 1311 1816.501 425.854 153.828156.988107.51269.596 864.509 -283.063 1314 1854.009 444.374 172.699153.467106.33958.041 720.236 -293.708 1317 1898.314 425.402 165.837163.309117.71466.617 889.1 -275.308 1320 1905.473 447.174 179.11 163.489119.79160.749 891.079 -276.506 1323 1913.809 455.757 182.361164.663117.71465.263 897.863 -268.399 1326 1892.697 445.819 190.758173.512123.58272.485 874.543 -257.048 1329 1913.537 459.461 183.264176.311123.58276.637 900.76 -279.185 1332 1948.514 466.689 200.329185.34 120.51374.561 911.573 -257.259 1335 1999.807 473.826 208.817182.36 118.79870.86 943.587 -260.573 1338 2034.881 476.898 189.133170.081134.05674.561 941.82 -256.343 1341 2051.92 488.192 210.804174.595137.84877.269 947.474 -128.364 1344 2035.878 478.976 195.995176.762129.36175.464 950.725 -270.02 1347 2027.087 492.528 213.423177.665128.63874.561 950.513 -262.124 1350 2017.389 490.812 210.082177.033127.28479.887 950.231 -255.215 1353 2016.845 481.144 203.038180.645127.55574.922 945.354 -256.625 1356 2047.298 491.354 215.409185.34 138.75 80.429 959.56 -252.606 1359 2054.005 488.914 205.296173.151128.00773.297 963.73 -258.669 1362 2058.99 489.547 213.513184.798128.18772.936 941.326 -250.491 1365 2075.94 497.136 212.61 182.09 137.03567.7 953.976 -120.537 1368 1918.339 460.997 198.794170.081126.29174.29 918.498 -239.916 1371 1812.787 449.252 184.076164.934123.58269.506 878.713 -236.954 1374 1718.76 418.898 179.652165.024129 73.026 851.578 -234.064 1377 1602.746 390.804 161.052153.557106.97161.833 806.639 -237.377 1380 1555.932 384.751 157.801164.212114.55469.325 788.764 -230.891

PAGE 140

124Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1383 1578.659 389.268 158.343157.62 107.06160.84 771.737 -227.225 1386 1632.449 402.728 157.891158.794117.17267.339 788.694 -220.949 1389 1505.409 367.769 139.112136.58399.658 56.958 731.893 -87.39 1392 1374.148 331.368 116.631133.96592.977 48.382 692.122 -222.078 1395 1342.741 330.646 121.325125.56988.193 45.674 673.474 -223.699 1398 1316.767 320.259 110.401116.17980.339 35.203 652.707 -238.294 1401 1298.395 310.414 101.734112.38774.019 39.446 644.372 -231.102 1404 1338.035 314.388 111.936125.56983.498 44.32 657.086 -226.167 1407 1387.907 331.73 127.465132.25 82.776 48.563 666.339 -221.584 1410 1381.752 331.91 120.784127.28480.971 39.536 669.094 -220.174 1413 1449.823 351.33 118.707133.69488.644 45.042 694.735 -492891.562 1416 1410.083 336.878 132.34 126.02 95.866 53.257 688.519 -219.187 1419 1286.449 309.24 100.471111.93665.714 20.49 636.462 -230.256 1422 1282.829 306.079 102.457121.77782.505 40.258 632.224 -219.046 1425 1275.68 306.079 104.262116.17987.29 41.341 629.046 -216.578 1428 1283.282 317.459 112.297133.15391.713 32.495 622.83 -217.212 1431 1241.203 291.448 106.248121.77775.012 36.557 603.479 -225.955 1434 1152.623 280.43 94.693 117.98579.887 38.904 591.261 -213.194 1437 1185.194 279.798 95.686 118.34686.116 28.252 575.794 -492891.562 1440 1226.816 290.274 103.901101.46469.235 29.065 578.266 -208.822 1443 1206.004 272.844 90.179 102.54763.277 15.164 573.252 -217.565 1446 1359.485 329.743 121.235126.47286.748 42.244 636.603 -211.783 1449 1315.228 316.646 117.353121.50687.922 39.265 622.054 -215.309 1452 1208.99 269.502 100.561103.72178.714 25.093 597.758 -226.378 1455 1154.794 277.54 94.061 104.80466.346 31.683 570.992 -215.379 1458 1135.705 274.289 91.894 107.78370.589 33.849 568.944 -199.867 1461 1223.739 285.578 108.144120.06179.707 35.925 580.95 -200.925 1464 1277.4 307.705 112.568124.39584.401 29.967 597.122 -205.931 1467 1316.495 318.543 107.151120.78477.179 36.647 630.6 -201.771 1470 1480.603 353.859 130.083134.23696.318 39.897 672.838 -201.418 1473 1310.069 307.163 106.248111.03377.54 27.621 635.19 -193.451 1476 1239.303 262.368 85.936 95.957 66.166 22.656 596.063 -215.45 1479 1130.368 262.368 71.04 101.82552.264 17.511 561.388 -211.501 1482 1225.006 280.791 90.45 112.38773.478 21.121 583.492 -214.463 1485 1259.211 297.048 95.686 107.87380.068 25.905 589.001 -214.533 1488 1358.4 293.706 102.276117.89573.658 28.523 625.585 -211.29 1491 1355.141 324.685 113.29 119.52 76.276 31.412 630.246 -190.842 1494 1449.189 332.904 117.804125.56975.735 34.391 660.759 -210.444 1497 1399.312 342.839 123.402133.51481.693 34.391 653.625 -201.136 1500 1364.554 293.796 104.804119.61 76.096 27.079 629.823 -211.501

PAGE 141

125Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1503 1259.12 291.719 102.18698.845 68.964 23.017 603.973 -209.386 1506 1258.396 299.847 97.672 115.45771.853 24.01 604.114 -213.687 1509 1341.927 310.595 124.937130.44488.102 37.189 636.25 -191.265 1512 1502.331 355.756 145.793137.75790.45 36.196 682.303 -201.489 1515 1424.385 346.633 132.701127.28484.762 41.792 665.916 -195.989 1518 1357.042 322.065 127.465125.20887.922 29.697 632.577 -189.291 1521 1273.689 279.165 90.089 108.05463.367 18.052 606.727 -198.386 1524 1244.189 271.308 85.304 89.547 53.166 17.782 584.128 -201.842 1527 1278.667 278.172 92.887 113.29 73.478 27.53 598.041 -194.156 1530 1429.002 340.22 130.534135.22984.852 30.509 661.042 -196.412 1533 1437.873 330.465 129.722125.47877.901 27.891 664.997 -197.963 1536 1487.121 345.73 129.451132.43 83.408 37.46 684.352 -198.669 1539 1384.739 319.085 106.88 111.75565.263 18.865 647.127 -200.149 1542 1347.086 318.904 115.638124.21484.943 34.842 638.157 -190.348 1545 1310.613 285.758 97.852 98.755 61.471 15.074 618.31 -208.61 1548 1271.337 281.062 88.915 104.71469.596 20.038 593.097 -207.341 1551 1352.426 298.944 104.533108.32567.881 23.107 621.277 -198.739 1554 1344.733 326.943 110.672113.56170.86 29.787 621.347 -187.951 1557 1418.592 320.711 112.929115.09685.214 25.364 635.756 -188.233 1560 1372.7 298.312 109.769109.13773.478 23.288 619.37 -196.412 1563 1304.277 315.833 110.582124.21466.978 21.212 602.49 -181.957 1566 1265.726 308.247 101.825108.68660.749 33.668 594.086 -195.637 1569 1252.062 295.512 114.915127.19486.748 35.925 605.597 -171.31 1572 1327.898 304.905 115.909124.30588.012 37.73 610.117 -167.995 1575 1434.886 340.852 131.798132.15987.109 41.973 643.596 -186.611 1578 1317.129 323.872 120.332124.75673.749 28.252 618.169 -191.617 1581 1298.305 321.524 115.909129.27 92.255 31.863 630.246 -174.06 1584 1266.36 303.008 105.255119.61 82.686 42.424 605.597 -179.278 1587 1304.821 322.698 114.915132.43 78.082 35.474 615.909 -181.323 1590 1283.553 314.298 117.985110.40170.679 26.447 598.041 -193.521 1593.002 1257.491 299.757 113.2 125.20876.096 28.704 600.371 -170.463 1596 1403.113 345.73 140.466134.326101.19345.674 642.395 -177.585 1599 1359.485 321.614 121.325123.22183.047 35.835 628.693 -178.996 1602 1384.014 339.317 127.555125.56986.116 43.327 640.417 -168.278 1605.001 1340.841 326.039 123.944128.45885.755 24.822 602.984 -177.726 1608 1311.337 310.414 108.776119.15972.304 25.544 598.959 -187.387 1611 1406.825 346.814 139.563127.91697.852 41.973 641.477 -163.2 1614 1449.008 358.375 147.869134.77899.297 40.619 668.741 -173.707 1617 1330.252 325.678 112.929126.47286.026 32.134 625.302 -169.265 1620 1263.464 315.382 116.45 135.13997.762 32.585 606.374 -162.848

PAGE 142

126Appendix M: Continued Table M.1 Continued Time [min] S0R S0S S0 T S1 S2 S3 S4R S4S 1623 1178.137 286.21 107.061120.87489.998 35.113 574.876 -173.496 1626 1102.142 266.973 76.276 86.568 59.847 15.886 539.002 -179.983 1629 1141.857 267.335 87.47 108.59674.29 15.345 548.818 -188.303 1632 1173.07 279.527 90.269 106.15877.54 25.815 549.594 -179.842 1635 1188.994 281.604 79.255 104.80476.457 28.252 554.961 -169.547 1638 1186.551 294.699 103.63 119.79173.749 17.872 555.95 -166.021 1641 1268.169 297.138 102.908117.44385.214 37.369 590.978 -168.983 1644 1059.265 252.524 73.478 104.98459.937 23.288 519.583 -161.296 1647 1024.803 239.52 84.762 95.595 58.944 20.129 495.998 -158.194 1650 1066.772 249.544 83.318 94.963 63.277 25.093 521.983 -155.021 1653 1087.035 254.692 90.269 108.50574.2 29.336 385.012 -74.272 1656 1139.414 272.211 96.589 97.13 69.415 18.323 505.813 -166.374 1659 1136.971 279.707 90.721 110.58267.159 24.01 520.712 -157.066 1662 1069.938 261.465 86.026 100.01964.36 16.157 495.01 -148.251

PAGE 143

127Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 917.15 5.235 3.52 -6.77 -0.722 -7.672 -9.748 8.033 3.069 919.123 2.256 4.603 14.532 15.886 -9.387 -7.131 9.568 4.062 921.1 -37.908 4.152 8.214 5.325 -4.062 -11.463 2.708 3.159 924 17.33 23.107 8.394 14.532 0.361 1.083 8.755 15.525 927 27.169 18.775 21.486 21.121 -0.451 -10.831 -6.499 1.986 930 23.829 46.486 73.117 68.603 31.051 -7.943 -4.603 17.601 933 45.313 92.616 125.472126.65268.874 3.881 -14.261 31.502 936 77.45 129.993170.984163.67 94.873 23.017 0 28.975 939.002 108.957 150.759223.627210.894138.84136.828 -3.52 41.793 942 141.82 169.9 221.911215.59 148.59233.217 -1.444 34.3 945 145.883 155.634213.383207.824145.61229.155 -9.026 26.357 948 163.67 189.765238.527243.584181.72828.523 -3.159 42.154 951.002 167.282 167.191238.166270.134181.36722.836 -22.294 35.925 954 176.582 188.23 261.916261.465207.46328.252 -30.868 35.925 957 173.241 182.541252.274264.084210.44311.373 -42.782 41.973 960 186.153 182.18 239.43 262.006213.4231.444 -52.439 33.037 963.001 178.929 146.154219.563242.771191.571-19.496 -81.769 24.642 966 190.306 160.961229.045230.58 202.677-18.232 -81.408 21.122 969 -1796.345 314.75 225.162227.239182.09 -54.785 -130.951 -21.03 972 129.18 75.735 124.576141.188109.137-142.14 -205.932 -62.366 975 146.605 79.526 140.376183.715173.06 -94.584 -154.141 -19.225 978 129.812 40.98 105.165143.716134.507-147.915-204.669 -48.016 981 173.783 83.318 154.912170.713192.022-122.649-168.578 -21.03 984 191.48 89.186 160.6 181.548200.42 -116.513-164.518 -21.752 987 176.13 54.701 128.458158.072187.417-139.614-191.767 -26.085 990 195.814 69.957 122.499163.67 197.44 -150.081-188.338 -22.204 993 194.279 57.861 126.291159.426196.717-164.337-200.97 -25.092 996 187.146 38.994 108.957142.994195.453-197.271-220.999 -40.796 999 188.139 1.354 105.887141.278195.995-193.842-220.187 -53.161 1002 178.207 7.672 98.665 129.632175.047-206.203-223.886 -42.782 1005 172.248 -14.08 85.033 122.138185.701-219.014-233.63 -61.103 1008 174.144 -27.89 59.305 101.554170.803-234.081-233.088 -69.496 1011 162.316 -54.78549.646 94.602 154.099-248.876-228.938 -75.181 1014 155.634 -60.29135.113 73.478 149.314-270.528-261.867 -95.667 1017 141.278 -74.46 27.35 66.617 134.055-285.051-256.544 -96.84 1020 133.785 -80.23528.523 63.277 122.319-295.335-250.32 -97.382 1023 130.715 -102.4350.542 44.32 111.756-303.454-253.928 -94.404 1026 102.998 -118.769-33.8475.325 81.603 -320.502-246.892 -106.045 1029 89.727 -144.847-72.564-31.68152.625 -328.71 -233.449 -120.213 1032 56.506 -214.142-153.87-94.765-4.062 -340.166-234.081 -119.852 1035 41.973 -254.019-210.533-147.915-34.659-352.342-206.293 -111.189

PAGE 144

128Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1038 0.632 -218.563-177.962-142.321-38.811-350.538-192.398 -108.933 1041 -1.986 -197.541-154.051-119.761-39.442-343.142-191.586 -113.445 1044 -11.192 -174.082-141.96-106.225-28.973-321.765-180.398 -96.118 1047 -12.907 -185.812-140.426-101.352-38.089-311.842-168.669 -94.765 1050 -23.828 -176.97-142.862-100.089-27.258-294.974-149.088 -91.877 1053 -35.11 -157.751-131.131-92.418-27.348-293.982-137.628 -82.401 1056 -50.453 -129.146-77.528-50.182-4.874 -276.662-156.307 -93.862 1059 -38.991 -76.625-9.026 31.231 52.805 -228.848-148.096 -86.913 1062 -42.421 -41.33828.433 59.305 72.756 -217.029-154.322 -87.274 1065 -55.056 -25.81449.646 81.693 97.401 -210.624-161.54 -96.84 1068 -50.724 -15.16465.263 98.304 107.422-198.985-142.952 -96.75 1071 -62.366 -36.01331.592 70.047 88.283 -207.195-136.004 -98.374 1074 -68.954 -40.07417.782 42.876 59.395 -221.991-142.05 -104.15 1077 -65.074 -1.444 44.681 63.638 79.887 -213.601-110.557 -77.347 1080 -94.674 18.865 76.006 86.748 85.123 -216.398-119.22 -92.869 1083 -111.55 66.797 122.228131.166121.687-198.624-125.537 -125.176 1086 -145.118 55.333 109.498109.67990.54 -192.308-114.347 -128.515 1089 -123.191 1.895 68.332 78.172 78.353 -188.789-94.494 -124.364 1092 -111.55 -41.51812.005 25.003 59.034 -197.09 -68.503 -114.347 1095 -109.564 -101.262-31.59 2.888 37.73 -226.773-78.882 -118.137 1098 -134.38 -113.806-69.586-29.06310.109 -239.043-88.628 -124.273 1101 -127.702 -133.297-72.564-48.5581.264 -252.846-80.867 -114.076 1104 -129.507 -111.008-62.276-21.48213.991 -235.705-88.628 -113.625 1107 -127.251 -98.555-35.65221.844 68.693 -229.57 -123.281 -111.911 1110 -123.281 -52.619-7.492 62.825 115.547-228.578-166.232 -117.054 1113 -124.634 -3.701 35.113 118.617161.142-219.916-198.804 -110.647 1116 -114.437 18.684 63.006 138.931178.026-223.074-209.992 -97.111 1119 -112.542 27.621 70.77 160.419202.677-221.18 -251.222 -101.804 1122 -107.308 53.257 65.353 157.079205.567-241.84 -272.422 -108.301 1125 -128.695 45.945 72.124 159.336-870.344-256.635-277.925 -112.272 1128 -120.754 35.474 77.269 122.86 256.949-276.481-272.332 -130.41 1131 -95.126 33.849 108.776119.7 199.697-267.28 -240.396 -106.225 1134 -101.984 16.428 62.194 76.186 157.44 -278.376-217.571 -98.104 1137 -99.999 -25.90421.844 44.952 184.979-282.886-188.158 -90.884 1140 -101.082 -90.884-24.37 -11.91478.623 -291.546-155.765 -98.374 1143 -109.835 -89.892-43.504-13.69 135.41 -313.827-198.985 -114.437 1146 -110.828 -99.367-44.496-28.792203.58 -307.152-171.105 -88.989 1149 -111.55 -74.911-40.255-9.838 156.266-317.345-169.841 -97.111 1152 -127.612 -53.251-12.0049.387 154.46 -339.173-198.895 -99.457

PAGE 145

129Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1155 -140.967 -44.045-9.477 7.926 200.961-360.73 -209.631 -93.23 1158 -132.214 -47.1143.881 26.537 145.07 -378.679-202.594 -87.545 1161 -125.717 -57.042-13.53911.012 180.013-392.207-216.849 -91.245 1164 -130.41 -67.059-14.53216.789 210.985-411.688-227.224 -98.555 1167 -139.433 -81.679-23.106-1.625 170.713-440.997-236.877 -101.894 1170 -143.494 -82.04 -27.0774.333 216.674-444.785-232.096 -96.118 1173 -157.119 -106.406-49.009-7.672 195.002-457.68 -230.743 -102.796 1176 -149.63 -118.769-58.124-26.807135.861-469.583-228.307 -106.045 1179 -156.307 -183.646-119.13-80.95766.617 -472.379-187.707 -96.93 1182 -154.863 -177.421-120.032-66.87955.694 -511.964-154.683 275823.531 1185 -172.819 -126.71-96.479-38.72 90.901 -468.952-158.021 4740319.5 1188 -194.293 -117.596-60.11 -3.159 100.38 -410.515-104.691 5029304.5 1191 -211.706 -116.513-52.8 -8.936 100.2 -399.332-97.652 10242625 1194 -217.571 -105.233-41.87918.143 99.477 -388.329-62.005 9228515 1197 -226.683 -104.421-52.439-1.083 98.213 -370.291-44.136 9316711 1200 -225.42 -96.479-37.72717.24 82.234 -342.33 -21.843 13519667 1203 -221.721 -73.467-16.87825.544 93.97 -344.856-38.359 34859312 1206 -231.735 -62.818-6.138 25.635 94.151 -327.899-12.004 -126214608 1209 -227.946 -63.81 -8.033 18.052 81.964 -340.797-27.799 -51095500 1212 -227.044 -66.157-11.46324.281 80.7 -314.007-15.434 -14531655 1215 -211.526 -57.8546.138 38.543 93.97 -307.332-10.741 -14182776 1218 -202.413 -35.92325.996 37.55 99.748 -298.131-4.964 -19897956 1221 -205.03 -41.24712.817 34.932 92.977 -304.716-21.933 -34496852 1224 -188.338 -34.74913.178 29.155 83.318 -301.289-13.449 -11637712 1227 -189.15 -38.9018.755 28.343 69.776 -300.747-19.135 -5296520 1230 -170.022 -21.03 23.829 44.681 85.575 -292.268-20.308 -4150686.25 1233 -192.579 -43.1439.748 33.488 72.214 -303.183-29.334 -3790609.25 1236 -181.21 -24.37 15.525 26.537 67.52 -292.448-24.189 -3470797.25 1239 -178.955 -20.85 8.214 23.198 65.804 -293.892-29.063 -3337584.5 1242 -150.803 -5.325 15.796 36.196 67.52 -272.151-1.986 -3386883.25 1245 -144.486 -7.943 21.212 20.129 50.819 -278.4661.535 -3149501.5 1248 -129.417 -11.46317.782 22.385 51 -265.38511.824 -2976030 1251 -126.62 -9.207 11.554 7.311 33.668 -269.17421.392 -2895402.75 1254.002 -110.918 -11.37310.922 9.116 14.442 -267.64138.723 -2628977.5 1257 -96.75 -27.98 -7.04 -13.1785.506 -267.91139.536 -2582233 1260 -112.994 -37.728-6.77 -14.712-13.629-277.83544.049 -2539718.5 1263 -105.143 -37.637-28.973-33.756-34.839-284.6 31.953 -2581688.5 1266.001 -78.882 -24.46 -19.045-33.937-43.865-271.61 68.693 -2540326 1269 -64.623 -22.565-1.805 -29.605-43.052-260.51478.714 -2420271.75 1272 -67.781 -28.973-14.712-44.677-59.93 -261.77780.158 -2350169.25 1275 -50.995 -28.702-21.301-46.211-60.02 -267.28 89.366 -2315420.75

PAGE 146

130Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1278 -48.016 -37.096-29.063-56.771-85.199-261.506101.554 -2225098.25 1281 -39.713 -39.803-37.276-82.311-85.56 -267.55196.498 -2260092.5 1284 -22.836 -34.208-37.727-67.781-89.26 -249.327116.36 -2328341.75 1287 -36.735 -57.854-50.814-91.877-118.047-263.942116.811 -2405757 1290 -24.009 -42.782-49.821-85.74 -124.905-267.821118.707 -2640936.5 1293 -24.37 -51.626-58.485-95.126-126.349-266.017122.409 -2831306.5 1296 -9.929 -46.031-53.431-88.899-133.658-265.476132.43 -2459715.75 1299 -1.083 -49.19 -59.749-103.969-130.861-263.401145.161 -2369014.5 1302 15.435 -51.265-48.829-85.65 -138.08-244.997156.176 -2295549.5 1305 17.511 -58.395-70.849-105.143-145.569-255.101148.953 -2295580.25 1308 31.141 -40.255-61.373-105.864-161.27-265.295152.655 -2317394.25 1311 19.767 -55.778-75.813-119.31-162.713-260.875163.58 -2315952.75 1314 24.461 -63.088-73.737-118.949-161.54-262.859156.898 -2191341.25 1317 34.842 -62.005-75.723-121.476-161.54-247.072171.345 -2178434.25 1320 39.716 -53.702-79.243-127.702-171.466-262.048169.9 -2107310.75 1323 55.152 -53.522-79.062-128.785-181.391-246.08 170.442 -2143705.25 1326 66.346 -52.8 -66.608-121.025-167.044-240.577192.564 -2175162.5 1329 44.591 -74.008-81.408-117.866-172.819-250.41 179.652 -2162448.5 1332 71.221 -56.771-59.388-115.61-181.481-251.222194.46 -2076062.625 1335 59.666 -66.698-65.886-116.062-177.421-236.336197.711 -2019478.75 1338 71.762 -66.788-80.687-135.643-195.646-248.516186.695 -1994106.875 1341 61.381 -87.635-98.916-149.178-196.639-246.35 202.677 -1978654.125 1344 69.415 -69.586-85.56 -160.097-200.519-263.762192.835 -1975426.375 1347 80.79 -74.55 -99.096-160.818-205.481-251.493200.962 -2027952.875 1350 77.901 -75.091-86.733-138.621-190.233-245.358205.747 -2038447.125 1353 68.332 -81.048-101.172-154.502-211.797-253.297197.891 -2003927 1356 98.936 -72.925-94.674-150.081-210.533-243.463213.332 -1973918.125 1359 83.679 -91.696-101.443-161.721-219.555-237.96 217.486 -1967225.5 1362 92.616 -80.687-97.472-156.036-215.856-241.208219.653 -1948022.625 1365 95.957 -86.643-105.142-163.074-226.322-254.74 217.396 -1962303.75 1368 100.2 -83.845-92.057-157.39-211.436-235.254225.794 -2200855.25 1371 94.512 -80.055-98.555-152.968-217.48-248.425217.215 -2490557 1374 107.151 -64.623-88.538-142.862-204.128-215.405240.604 -2684404.5 1377 118.346 -66.247-92.509-135.012-201.331-213.962239.61 -2994700.5 1380 117.714 -63.9 -94.855-153.059-212.608-218.383245.751 -3196239 1383 108.776 -73.377-94.404-157.299-221.54-232.096233.921 -3288382.25 1386 115.638 -69.586-102.255-148.276-216.668-231.013230.67 -3023683.25 1389 114.644 -75.904-107.128-165.781-222.623-239.674237.533 -3743902.75 1392 107.603 -88.087-109.384-162.172-229.66-239.313245.571 -5015769.5 1395 116.45 -84.748-112.993-162.623-224.969-235.073231.844 -6382339.5 1398 102.547 -89.079-108.391-179.947-227.314-226.773249.454 -6595925

PAGE 147

131Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1401 105.436 -91.155-123.371-179.315-245.268-244.726238.436 -7775958 1404 114.374 -97.021-118.227-178.143-242.651-242.651235.547 -5577264.5 1407 103.359 -97.743-118.769-183.286-249.688-235.615233.921 -4672284 1410 129.632 -82.943-111.369-165.24-238.772-228.578238.527 -5008480.5 1413 -293.08 -195.737-167.766-219.195-269.806-264.393227.871 -3930663.25 1416 120.964 -92.418-115.069-178.594-237.058-241.027238.436 -5174067.5 1419 111.123 -105.684-123.912-181.932-248.696-249.057237.895 -10248943 1422 110.13 -96.75 -112.001-179.586-237.509-231.194247.738 -9449490 1425 120.242 -102.165-132.485-185.09-253.116-241.93 244.938 -9081594 1428 127.645 -87.816-112.001-180.94-239.584-220.368257.672 -9643500 1431 125.388 -99.818-118.408-181.391-253.838-230.382242.139 -16515148 1434 127.465 -91.426-110.286-187.436-251.944-235.073248.37 27531922 1437 -279.007 -205.571-172.819-218.202-276.481-263.13 222.363 -34314140 1440 111.846 -85.65 -112.723-186.534-248.335-237.148249.454 -12606391 1443 103.089 -109.203-135.914-197 -264.664-237.509244.216 -16254452 1446 122.048 -102.616-124.364-183.466-255.372-236.878245.571 -5975912 1449 134.417 -88.718-136.816-190.143-254.921-229.841265.348 -6949520 1452 112.658 -121.837-136.365-193.842-267.641-238.953237.443 -33865696 1455 127.826 -101.713-115.43-182.022-252.485-241.93 256.588 130931336 1458 136.854 -91.787-119.039-176.879-248.696-225.149261.645 21837580 1461 126.833 -102.706-136.365-179.947-249.598-226.051265.167 -13691078 1464 131.798 -103.879-128.875-199.797-259.973-224.067257.672 -9247663 1467 136.042 -99.818-120.393-190.233-258.349-230.923260.742 -7210169 1470 129.812 -106.406-134.199-193.03-268.092-232.637249.905 -3640537.5 1473 129.812 -111.73-134.29-194.383-264.032-233.359250.808 -7596150 1476 126.201 -108.301-140.967-199.165-266.197-236.697245.48 -12176230 1479 118.436 -115.611-139.162-213.962-271.61-250.5 246.925 101952824 1482 124.395 -116.152-139.072-203.496-270.708-237.329250.176 -15379509 1485 131.076 -104.511-128.966-191.406-260.694-238.411249.905 -13261431 1488 134.507 -101.804-132.485-192.308-259.522-238.501254.24 -5323660.5 1491 130.444 -117.776-135.102-193.12-269.716-238.231253.427 -5173904 1494 127.735 -110.196-134.109-200.699-275.669-243.012241.416 -4213611 1497 134.236 -112.994-131.041-199.255-267.911-240.757245.932 -4845744.5 1500 130.534 -115.43-139.072-196.549-273.956-234.712246.654 -6326910 1503 125.93 -118.588-138.621-201.24-278.556-250.951251.621 -9016160 1506 130.534 -117.325-142.682-199.526-265.927-240.937253.788 -8338122.5 1509 134.055 -110.738-134.199-192.94-258.71-233.9 257.943 -6079354 1512 130.083 -112.903-125.537-188.428-258.98-228.578255.775 -3392495.75 1515 131.979 -118.859-144.035-210.263-279.729-240.216250.628 -4288412 1518 132.159 -103.969-133.297-196.639-269.355-228.758250.899 -6234954.5 1521 125.117 -124.093-155.856-205.571-286.044-243.824254.692 -10049741

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132Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1524 123.582 -123.912-144.396-204.759-276.03-255.462247.106 -10435880 1527 134.146 -111.55-141.148-199.165-266.829-236.968261.103 -8419095 1530 133.062 -117.866-140.696-207.827-284.42-247.523249.454 -3934144.25 1533 134.326 -112.542-136.726-201.872-270.888-234.893262.006 -4121447.5 1536 138.75 -112.723-137.087-195.376-264.303-233.63 259.478 -3757073.25 1539 144.98 -112.633-140.306-202.413-277.023-240.125259.117 -5143304.5 1542 140.014 -111.189-139.614-197.541-275.218-243.103256.227 -5577299.5 1545 134.326 -123.552-154.051-218.834-284.781-245.177251.35 -7341882.5 1548 122.138 -125.447-150.712-216.308-285.953-244.456249.363 -6979641.5 1551 129.18 -120.574-148.637-209.541-285.322-244.185244.035 -5475533.5 1554 142.181 -99.909-136.185-202.052-272.061-229.209249.183 -5763856 1557 149.043 -101.082-130.951-193.752-272.693-229.57 258.755 -4323872 1560 138.389 -118.588-137.989-200.248-271.069-228.578266.973 -5835851 1563 133.153 -105.143-140.867-204.398-277.203-243.824250.899 -8594713 1566 145.161 -117.415-137.087-197.722-277.564-232.096266.522 -10308868 1569 146.515 -105.413-127.883-185.812-258.529-223.615269.502 -16234026 1572 138.75 -111.55-129.327-195.646-260.694-223.074265.348 -6948879 1575 147.328 -116.964-141.823-202.594-272.422-240.937253.879 -4589603.5 1578 149.133 -107.669-139.343-196.368-269.445-230.111263.361 -7230645.5 1581 147.147 -99.999-121.386-189.06-266.829-229.119273.024 -8708786 1584 151.21 -101.172-122.739-192.398-271.61-225.69 264.264 -10342966 1587 150.488 -107.308-135.643-205.12-274.858-243.193257.491 -7505878 1590 140.014 -114.979-146.11-209.541-281.172-242.561256.588 -9742260 1593.002 145.431 -108.301-134.271-209.721-281.443-234.712259.839 -10451695 1596 159.065 -101.262-109.384-184.368-259.792-219.285276.817 -4510195.5 1599 137.035 -110.106-139.687-215.856-281.894-238.411263.722 -5678719 1602 145.973 -100.36-130.049-196.819-276.842-223.255262.097 -5006474 1605.001 137.577 -133.839-143.674-199.075-272.873-231.194263.722 -6657238 1608 139.382 -117.776-136.906-213.06-274.046-237.419257.491 -7299760.5 1611 151.12 -99.999-130.59-196.639-271.79-230.111261.645 -4962236.5 1614 155.634 -110.106-128.785-182.293-259.612-222.262265.89 -4266327 1617 156.356 -127.793-130.77-190.323-272.512-220.819264.535 -6826744 1620 157.62 -100.089-134.921-183.646-257.266-220.458266.793 -15362057 1623 148.501 -106.947-128.966-199.526-269.716-241.027263.361 231660928 1626 151.39 -117.686-143.494-208.548-277.293-229.029257.762 13079495 1629 136.403 -115.971-138.621-209.812-282.074-232.367245.029 32819264 1632 150.126 -111.099-133.838-199.707-273.595-1927.358266.432 -28860812 1635 83.769 -128.424-145.389-203.586-274.767-242.02 255.233 -171397168 1638 142.452 -108.482-136.816-191.947-268.813-213.06 267.335 -24478392 1641 149.224 -100.991-134.56-197.271-278.286-237.599261.013 -11514818 1644 138.841 -108.842-131.943-203.767-276.842-235.975254.511 6920875.5

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133Appendix M: Continued Table M.1 Continued Time [min] S4T S5 S6 S7 S8R S8S S8T S9R 1647 145.431 -107.579-135.553-200.519-277.474-233.179275.011 4626422.5 1650 148.05 -97.923-121.747-185.722-257.086-217.751272.663 8298495.5 1653 101.283 -112.362-139.614-201.331-272.693-224.518258.213 6914131 1656 132.972 -119.671-136.275-195.646-277.113-229.48 259.478 44197600 1659 142.813 -118.047-134.831-194.383-264.483-216.488269.412 16176785 1662 137.847 -106.226-125.266-188.248-276.211-226.593268.78 5648226

PAGE 150

134Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 917.15 -1.714 19.849 17.774 11.368 -2314.8218.496 2.256 2.255 919.123 1.805 8.661 6.045 19.759 6.947 -1732.225.143 -4.331 921.1 -6.225 5.323 11.639 18.857 8.3 7.669 -1.263 -6.045 924 -1.804 2.616 9.203 -0.812 -4.421 -1.173 6.135 0.722 927 -3.158 -12.27 -0.361 -1.263 -9.473 18.496 0.902 -2.797 930 -22.013 -46.37217.684 -11.458-13.08255.76 5.684 -16.149 933 -22.013 -58.91139.428 0.541 -25.352102.051 9.293 -7.308 936 -30.674 -60.62537.534 -14.435-36.538114.685 15.97 -6.767 939.002 -11.368 -34.64455.489 -1.804 -38.343151.956 40.962 4.872 942 12.09 -2.797 71.28 -2.977 -37.17 167.931 34.917 17.413 945 28.06 39.699 81.567 -13.353-63.422165.674 26.526 9.834 948 32.21 46.376 84.545 -15.247-68.113166.938 23.729 11.639 951.002 41.684 41.052 85.537 -30.313-69.105187.245 31.579 9.112 954 33.203 46.737 83.823 -31.847-92.288176.685 16.691 11.639 957 40.421 36.361 86.169 -34.102-95.355188.96 30.676 5.594 960 41.143 52.512 102.051-19.578-80.832193.202 26.706 5.052 963.001 50.437 65.234 85.537 -39.515-102.571187.155 6.406 2.436 966 58.377 94.832 93.208 -31.396-104.556196.812 22.015 1.534 969 35.549 85.267 67.4 -61.617-122.686171.09 -7.488 -37.26 972 -0.09 8.661 19.488 -74.427-124.31147.534 -33.561 -52.145 975 22.827 52.421 57.565 -50.702-106.54172.895 -10.015 -23.006 978 14.346 30.496 34.466 -57.017-96.528168.653 -18.856 -37.621 981 60.633 94.02 63.069 -33.02 -74.247191.126 4.331 -14.255 984 64.422 123.07778.86 -20.209-81.824199.52 9.564 -17.773 987 67.671 111.25667.4 -28.509-70.909189.231 -5.233 -29.141 990 64.422 97.539 67.581 -29.862-66.669191.397 -7.218 -28.329 993 59.55 106.47357.745 -31.396-84.44 177.949 -10.917 -38.343 996 67.581 116.03861.986 -21.833-65.948174.339 -22.825 -50.702 999 63.791 154.48356.031 -23.277-60.986171.902 -30.494 -52.506 1002 67.31 141.39762.347 -35.726-68.383166.848 -41.049 -67.481 1005 72.724 171.45145.925 -43.395-64.775160.62 -55.393 -75.149 1008 79.401 179.48347.188 -33.471-73.615159.447 -57.468 -83.448 1011 80.304 196.36138.526 -31.576-67.12 156.469 -44.477 -81.103 1014 82.56 196.81239.519 -37.801-76.322140.044 -67.21 -86.966 1017 75.611 215.49639.068 -35.726-79.208141.848 -66.128 -94.273 1020 79.853 205.92837.083 -43.214-67.12 135.622 -62.429 -99.504 1023 77.597 220.09923.097 -42.853-65.677110.443 -78.847 -96.798 1026 77.958 240.04813.082 -31.667-75.87183.462 -69.466 -87.778 1029 94.742 259.18420.481 -14.616-50.07 72.814 -52.055 -82.185 1032 99.163 272.81528.421 -4.06 -43.75632.932 -64.865 -81.373 1035 92.305 269.56523.188 0.541 -29.953-0.722 -58.911 -69.285

PAGE 151

135Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1041 103.946 245.91535.368 10.917 -8.932 22.646 -19.217 -58.19 1044 99.795 234.36125.533 21.383 -2.978 33.654 -1.895 -50.07 1047 106.022 240.77 31.488 22.917 5.594 30.496 0.541 -57.107 1050 91.493 223.98118.225 31.037 10.105 31.759 6.045 -52.506 1053 87.793 213.14921.924 25.443 13.985 25.443 10.105 -48.537 1056 98.532 204.03324.451 34.285 29.142 87.342 35.458 -44.658 1059 107.646 207.55334.105 30.406 50.075 120.37 31.218 -68.564 1062 107.646 225.87630.766 20.932 78.679 146 27.699 -80.2 1065 106.383 217.6625.233 21.203 111.075160.169 15.699 -82.005 1068 107.646 251.33112 35.549 141.939147.354 10.827 -74.698 1071 113.692 266.135-3.338 38.526 144.376121.995 -6.045 -77.043 1074 104.849 241.311-11.09734.466 142.21 97.9 -17.232 -74.427 1077 98.983 237.249-6.586 41.504 148.34688.335 -25.261 -64.143 1080 102.593 240.048-0.361 30.225 140.044121.363 -17.142 -67.12 1083 91.222 247.449-13.26232.932 159.447139.683 -34.915 -83.358 1086 100.427 291.953-19.48737.985 174.88 106.473 -40.147 -64.775 1089 118.295 332.849-4.421 48.091 188.14889.237 -15.698 -24.089 1092 138.329 -1318.13-5.143 52.331 173.34673.536 -13.172 -14.706 1095 123.078 335.287-16.42 57.474 167.20957.926 0.812 -16.42 1098 124.07 331.224-3.789 69.656 153.4 48.271 2.436 -12.902 1101 130.026 323.641-1.895 73.085 148.70843.128 7.128 -13.172 1104 124.521 316.418-5.774 68.212 154.57488.335 32.481 -26.164 1107 115.948 289.6964.872 72.543 160.259118.656 44.211 -28.329 1110 109.361 253.407-20.93170.288 173.436136.885 54.226 -63.692 1113 108.819 239.145-19.39782.469 208.636173.797 76.514 -58.641 1116 108.819 229.938-14.61694.2 248.984196 88.966 -57.919 1119 109 187.245-27.878101.42 272.815186.613 89.779 -68.564 1122 110.353 196.812-35.997109.27 292.766211.615 94.922 -58.731 1125 104.307 179.664-42.402112.79 320.932200.784 89.508 -71.54 1128 77.416 162.064-40.327108.007281.03 184.537 59.369 -82.275 1131 71.641 142.841-46.82386.259 241.582163.147 29.233 -89.131 1134 67.039 109.451-29.86270.468 172.714124.612 -2.165 -82.456 1137 69.205 108.819-4.06 70.107 139.141106.292 -18.856 -83.267 1140 48.903 101.239-0.271 42.857 100.51771.912 -54.761 -98.512 1143 46.466 57.023 2.707 27.248 45.925 72.724 -50.702 -99.865 1146 44.391 61.084 18.676 28.872 36.18 72.273 -39.515 -108.254 1149 31.308 29.774 15.609 4.962 -15.157 109.902 -56.475 -136.847 1152 15.338 10.285 50.166 -0.812 -64.324 142.57 -47.635 -163.454 1155 1.083 -34.103 35.729 -22.735-120.521152.408 -58.189 -197.455 1158 0.632 -35.907 50.797 -43.665-167.242168.201 -63.963 -218.829 1161 -6.045 -50.431 69.746 -56.385-199.62 175.422 -75.78 -228.929

PAGE 152

136Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1164 -11.277 -61.166 64.783 -73.345-229.019161.974 -81.824 -247.145 1167 -15.157 -59.994 61.625 -79.569-262.114157.552 -101.759 -275.099 1170 -13.623 -62.61 68.934 -95.625-290.067163.599 -99.414 -295.838 1173 -16.24 -64.143 70.288 -112.132-300.166173.978 -94.814 -307.92 1176 -22.465 -50.431 73.265 -101.579-299.805141.036 -102.842 -308.912 1179 -75.87 -163.1843944147-336796423468252536.297 46.015 -145.235 1182 -115566 10209979-150108-237665-417182-230.913-157.231 -253.006 1185 74259.812 106484 -49445.8-133122-192069-58.19 -92.198 -202.866 1188 -26181.62 -3065.54-72836.3-113411-138601-23.547 -71.18 -179.238 1191 -44267.12 -36091.8-81537.8-123481-142615-14.435 -39.786 -161.741 1194 -36855.05 -41132.8-95392.5-124137-139413-0.541 -26.976 -127.016 1197 -45189.49 -61846.9-92075.5-131071-1386126.225 -15.428 -89.492 1200 -48022.06 -67755.4-93498.7-131551-1412197.488 1.985 -75.239 1203 -48343.37 -75078.2-96800.8-132202-1413988.391 8.03 -57.919 1206 -60047.75 -80550.8-98174.2-128806-1415579.744 13.082 -44.207 1209 -53032.11 -79628.7-106756-136294-1454175.052 23.548 -17.322 1212 -54192.54 -77511.3-103744-132831-1426626.045 20.842 -16.51 1215 -66762.67 -88033.9-108955-137329-145599-0.271 19.037 -14.255 1218 -64077.36 -87017.5-112223-138355-14992721.473 42.677 8.12 1221 -65892.77 -77885.1-96438.6-113796-13946221.473 36.451 0.812 1224 -65968.34 -81621.2-99220.7-131833-1440237.128 38.255 13.533 1227 -64225.14 -84927.3-107380-137963-14341914.616 35.909 9.383 1230 -56543.4 -89578.6-113945-146857-1566107.579 38.887 18.225 1233 -55545.02 -87939.6-118023-147294-150741-2.707 33.654 7.128 1236 -58797.79 -94185.6-117376-148653-1539233.158 26.796 12.451 1239 -70162.05 -99135.7-118911-148910-154379-14.074 21.293 18.406 1242 -64741.03 -98682.6-114069-148480-156143-11.729 24.812 23.999 1245 -70134.36 -99896.3-118487-146764-155390-18.946 35.909 30.135 1248 -71624.23 -100720-118140-149582-159811-30.133 28.962 48.812 1251 -73792.95 -100035-119596-152223-160341-32.659 28.962 55.85 1254.002 -73945.49 -98815 -115816-151911-156729-50.702 19.127 51.068 1257 -69363.38 -104180-116114-150216-152610-41.951 34.646 70.558 1260 -76056.89 -104415-119478-154747-159562-58.37 30.857 93.478 1263 -67667.56 -103783-125382-155632-165636-70.278 27.518 88.966 1266.001 -76237.48 -103633-124382-156910-159043-70.819 28.24 90.23 1269 -76992.78 -106047-121055-159546-166298-91.566 21.563 107.105 1272 -68267.14 -101000-129406-160478-157924-95.626 36.631 129.214 1275 -60293.68 -98587.5-122105-159715-159414-101.21813.533 108.187 1278 -75391.76 -107328-126010-158543-164073-107.89313.353 107.105 1281 -59452.9 -102909-121866-160065-164775-126.29411.278 115.858 1284 -57167.86 -100164-128630-160448-162757-119.16812 128.673

PAGE 153

137Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1287 -70904.64 -99017.4-127926-159310-168287-132.51813.533 137.878 1290 -72861.74 -105886-128997-156646-167244-137.74912.27 136.975 1293 -52484.5 -94148.1-129269-157361-158886-137.6590.361 135.531 1296 -72310.22 -98439.1-115975-154914-152640-140.09411.819 143.022 1299 -75656.13 -105722-128517-159181-162863-159.2153.699 139.502 1302 -76122.81 -104629-129143-163597-163847-168.234-4.331 140.675 1305 -72429.19 -105370-124842-164342-161032-165.3484.782 153.491 1308 -60184.18 -104884-128380-164039-168755-193.577-9.022 149.159 1311 -69207.89 -101501-125773-157034-165999-180.861-4.331 156.018 1314 -66699 -106319-131217-160545-161243-193.307-7.037 161.342 1317 -66008.63 -105377-125408-159909-168299-198.628-10.015 161.342 1320 -66617.83 -106479-127564-163664-161813-205.301-9.022 161.342 1323 -76902.61 -113733-125687-163995-173231-206.384-5.774 156.108 1326 -80911.95 -117919-129776-163904-162921-209.179-14.525 155.747 1329 -79843.56 -112905-130945-164836-175538-216.214-17.232 147.354 1332 -83185.03 -114451-127341-162435-164856-215.943-16.691 171.27 1335 -79146.88 -114264-135506-167756-168405-223.157-22.645 159.989 1338 -73893.7 -110878-137518-163754-163867-220.813-16.42 163.96 1341 -74220.96 -114265-140700-169387-177516-256.884-30.314 171.721 1344 -69972.59 -112303-133224-164360-172949-248.137-22.374 162.245 1347 -75236.77 -118257-135616-169789-168198-241.193-31.396 158.635 1350 -67739.55 -111229-138125-169234-174644-273.025-28.148 161.974 1353 -63273.16 -104728-129978-164803-167654-264.819-41.68 157.281 1356 -77974.49 -110727-138342-170188-175537-272.033-25.893 172.443 1359 -78701.56 -111717-135399-164769-177006-272.394-28.87 177.317 1362 -82118.45 -118549-146420-174754-177845-277.353-30.765 170.368 1365 -62836.22 -108093-134824-171933-171125-280.058-27.156 175.602 1368 -65035.63 -110191-139930-166869-168386-272.484-30.043 179.754 1371 -57922.95 -100765-128336-163760-168248-285.559-24.9 171.541 1374 -52685.72 -101832-122159-157323-170331-263.827-19.036 188.689 1377 -72797.82 -105813-126900-158897-169828-280.779-26.885 180.386 1380 -73558.7 -103236-128369-156762-156949-270.951-24.81 184.898 1383 -55958.89 -95016.3-120561-157603-167225-283.935-26.524 188.689 1386 -66607.24 -99280 -120974-154829-166566-292.772-16.33 182.913 1389 -69810.3 -102969-126052-153544-165003-283.575-28.69 185.259 1392 -58000.56 -97403.4-116204-148686-164934-285.829-35.546 183.003 1395 -56238.93 -95267.9-122617-148343-164590-301.518-36.358 176.234 1398 -66890.14 -98773.6-116502-146656-164297-306.387-46.823 175.151 1401 -73371.32 -99321.6-119100-146945-154556-302.149-50.612 176.776 1404 -61682.02 -98458.2-123040-152504-155161-299.625-35.546 174.429 1407 -62801.97 -99533.7-122010-150329-163931-300.346-40.327 181.288

PAGE 154

138Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1410 -63476.16 -97890.8-124610-152178-157231-328.207-56.115 170.548 1413 -66990.86 -99060.7-124725-152178-155278-317.748-56.836 173.978 1416 -69057.89 -96789.2-116412-147486-154385-299.805-44.026 174.88 1419 -63670.79 -90350.8-112911-146594-155186-299.895-41.229 180.476 1422 -68848.99 -95188 -116862-146747-154805-306.207-44.567 184.898 1425 -69055.7 -95839.3-110439-145247-155180-304.764-44.748 186.162 1428 -64057.72 -93755.9-116396-145969-150939-318.649-47.815 188.057 1431 -56098.77 -93783.6-118053-148235-157501-306.838-35.907 188.87 1434 -70413.14 -94201.5-121655-147398-150636-311.977-51.333 178.671 1437 -60506.5 -90120.3-121230-149677-162262-318.559-44.567 188.419 1440 -58067.76 -92356.3-118396-145422-159343-335.329-43.034 186.072 1443 -61716.27 -91358.2-118369-145915-161773-317.568-56.475 182.913 1446 -71159.44 -101908-123399-148461-151670-325.862-47.544 191.577 1449 -64078.79 -95252.3-120682-149284-153509-329.649-47.635 186.252 1452 -62657.45 -95824.9-111182-150240-153176-324.6 -49.349 185.711 1455 -59008.11 -94808.6-119842-147689-158238-333.887-51.063 179.844 1458 -68990.09 -96652.4-110313-141076-146817-336.952-59.633 182.913 1461 -69903.36 -96452.5-115212-146008-160722-345.968-69.195 167.57 1464 -69637.81 -99744.7-111117-144966-150162-346.148-69.556 170.277 1467 -67214.33 -100595-118162-148593-152054-342.542-60.535 173.436 1470 -58436.11 -96804.8-113555-145043-161841-353.271-64.775 179.844 1473 -59094.85 -97519.8-124686-148063-162343-352.009-64.865 173.887 1476 -66659.56 -93854.3-120686-149114-161188-339.116-58.46 180.115 1479 -68358.95 -97748.7-112123-142697-150444-342.362-67.12 164.411 1482 -60057.3 -94578.1-114122-146644-160787-353.451-57.648 178.761 1485 -73151.24 -96573.9-111427-146090-150158-351.648-68.022 158.003 1488 -72371.03 -101480-120039-149724-155165-355.344-71.54 171.992 1491 -68512.23 -93065.2-124330-147250-154930-361.565-75.78 167.57 1494 -71663.88 -99090.7-113347-148325-160031-354.894-73.796 165.765 1497 -73704.45 -100931-112879-150782-151778-350.746-78.306 165.404 1500 -58581.95 -98096.6-121076-147174-160251-366.434-63.512 179.844 1503 -69072.33 -96684.6-113304-144896-159652-359.582-78.216 164.05 1506 -61869.09 -96653 -119745-147220-158709-359.582-63.241 177.588 1509 -39764.24 -72820.8-103103-140928-159798-366.704-69.285 162.877 1512 -71931.81 -99637.7-124680-154822-165813-365.081-62.88 173.256 1515 -77704.27 -104600-127738-151377-158296-365.622-68.022 176.234 1518 -74594.63 -100840-118864-154977-157639-364.991-66.399 169.465 1521 -84229.32 -102433-113920-148633-165700-362.196-70.999 188.419 1524 -71108.5 -106393-125225-155441-162564-377.432-72.803 169.375 1527 -74810.08 -104577-116619-156544-163717-369.228-72.352 164.952 1530 -62657.7 -105365-116883-151999-156078-364.54 -70.097 179.754

PAGE 155

139Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1533 -59069.01 -103275-125700-151296-163695-360.934 -72.082 169.736 1536 -60511.83 -102597-116663-149945-163719-382.03 -74.066 165.765 1539 -56751.86 -101899-113600-146865-165996-373.015 -76.141 166.126 1542 -65295.2 -105644-118684-149009-155515-373.736 -81.193 163.599 1545 -65118.11 -103913-117112-147254-156882-364.45 -64.955 168.653 1548 -70634.01 -104956-126073-152412-155916-373.466 -79.028 168.292 1551 -70155.67 -106670-125945-154251-166718-362.647 -72.082 175.602 1554 -35993.45 -88992.7-120497-152176-159772-367.786 -64.955 174.79 1557 -61988.96 -99435.2-118446-157016-166990-363.819 -77.224 173.256 1560 -57626.98 -101046-117110-155217-162978-370.31 -79.84 175.693 1563 -73151.09 -108172-117611-151977-165080-364.09 -73.976 173.165 1566 -60021.02 -100665-115547-146687-157245-367.335 -72.442 168.111 1569 -54765.93 -99901.2-124470-150831-156558-353.271 -62.068 172.804 1572 -70903.4 -102076-123991-154019-161244-366.884 -75.058 170.458 1575 -67846.17 -102609-116058-148864-162349-350.476 -70.548 180.386 1578 -78843.38 -109877-115870-152757-164418-369.95 -72.713 173.256 1581 -78673.3 -108854-121525-148885-162977-380.858 -81.914 171.812 1584 -61531.13 -103996-123483-149900-162428-359.582 -67.12 173.797 1587 -58959.86 -99514.9-115706-143848-161042-366.614 -69.285 179.032 1590 -60162.46 -100514-123518-152811-163385-360.393 -73.525 188.689 1593.002 -55816.16 -97820.3-120738-150874-163948-370.761 -78.396 165.043 1596 -76445.48 -107690-120806-153057-165732-381.579 -75.058 175.693 1599 -61398.12 -101541-120597-145284-161946-362.286 -71.721 171.541 1602 -63638.65 -104017-122959-148219-161738-361.385 -73.796 168.924 1605.001 -60990.59 -101204-113749-146766-165206-364.901 -70.729 177.768 1608 -61560.39 -101277-118901-151492-156272-355.795 -82.816 169.736 1611 -62564.34 -104096-123421-153669-164984-345.607 -58.189 185.621 1614 -74847.21 -111295-118853-159563-160616-366.344 -74.517 176.234 1617 -80063.63 -113061-128426-154476-166292-375.539 -77.855 173.526 1620 -76644.95 -109635-126446-151085-164475-371.572 -71.089 172.353 1623 -71616.47 -106973-124873-146284-154994-365.352 -65.316 165.133 1626 -72202.31 -107121-120822-150909-161933-388.611 -80.922 161.433 1629 -66615.95 -103557-116025-142902-159295-360.213 -73.615 169.375 1632 -65038.62 -102917-115629-147620-155601-365.712 -73.435 168.924 1635 -63009.37 -102710-123304-154704-156273-370.04 -69.285 171.451 1638 -64536.07 -104946-122346-148741-165808-355.976 -68.473 173.075 1641 -48811.35 -111479-123554-154503-165992-378.424 -88.048 158.364 1644 -52569.24 -88364.7-118845-147174-153547-359.672 -77.945 171.09 1647 -51007.59 -89525.3-105979-141376-158976-363.999 -73.345 166.216 1650 -58924.61 -93466.5-110757-145443-153135-361.205 -68.924 176.776 1653 -65004.93 -95725.6-117532-149147-154476-366.434 -83.809 167.75 1656 -52939.31 -94102.2-108855-147390-152865-352.73 -73.796 174.79

PAGE 156

140Appendix M: Continued Table M.1 Continued Time [min] S9S S9T S10R S10S S10T S11R S11S S11T 1659 -63577.94 -99211.9-117171-142239-156481-382.841 -91.205 156.379 1662 -63523.86 -103302-121394-148215-161081-374.818 -81.734 161.072

PAGE 157

141Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 917.15 2.616 -9.022 -7.308 -2.346 11.729 0.722 0.271 6.135 919.123 1.714 -5.955 1.173 3.338 -1.985 4.331 10.827 2.616 921.1 -1.353 -9.473 -9.383 1.985 -3.519 -6.586 0.902 -1.353 924 1.714 -8.571 -4.421 1.624 0 2.436 13.082 -2.616 927 15.157 2.616 -5.323 4.692 2.887 5.503 -3.789 -8.12 930 41.594 35.368 -7.308 -18.405 23.909 17.684 -7.127 -22.374 933 96.637 88.245 14.436 -8.842 63.069 29.864 -14.165 -19.307 936 125.514 99.344 12.541 -10.105 71.461 36.09 -20.48 -16.42 939.002 166.397 135.622 16.962 -11.909 96.907 59.189 -0.09 7.759 942 160.169 142.751 17.503 -15.608 87.342 49.805 -10.285 -4.24 945 175.873 156.92 22.466 -14.886 94.02 59.911 -6.857 7.398 948 171.541 153.761 13.263 -19.758 87.974 53.685 -2.616 21.383 951.002 195.278 158.635 11.368 -11.729 115.76849.173 7.218 30.496 954 189.05 150.693 2.346 -22.916 101.14936.902 9.203 43.579 957 199.159 165.584 5.323 -33.02 101.87147.098 20.03 55.489 960 189.953 151.866 -10.285 -39.155 97.178 36.722 20.39 59.459 963.001 196.451 147.534 -16.601 -49.89 95.103 31.759 21.203 73.175 966 200.964 158.996 -11.999 -50.702 95.283 33.924 33.022 80.304 969 175.422 135.802 -35.546 -70.819 70.558 16.781 14.165 67.941 972 145.007 97.9 -77.404 -104.64647.098 -32.118 -45.921 30.315 975 184.628 133.727 -46.011 -82.455 70.829 11.819 11.639 75.341 978 166.487 129.395 -62.068 -103.83460.452 -12.27 -2.977 60.181 981 185.35 140.766 -50.972 -95.986 77.506 -0.993 18.225 93.298 984 193.473 146.722 -36.629 -91.296 78.679 14.526 45.745 119.919 987 203.943 136.163 -54.401 -102.84268.934 -9.112 37.083 119.468 990 193.653 137.517 -55.483 -111.14 73.085 -8.751 38.977 119.017 993 191.577 134.358 -51.965 -105.18756.753 -14.886 23.548 124.16 996 190.494 127.951 -63.873 -108.25459.279 -12.902 31.94 131.199 999 185.53 118.114 -69.646 -118.62763.34 -13.353 56.933 136.253 1002 177.588 110.895 -74.427 -118.17663.34 -23.818 54.226 150.242 1005 165.675 108.097 -88.319 -115.56 44.03 -21.743 45.564 162.335 1008 152.408 95.644 -86.515 -122.50632.751 -33.832 48.361 162.786 1011 150.783 98.351 -82.185 -111.77241.684 -34.554 44.932 168.472 1014 142.48 95.825 -82.275 -110.68939.248 -36.809 58.467 159.537 1017 136.795 93.839 -91.205 -116.10130.947 -53.95 45.474 162.425 1020 133.275 79.401 -87.327 -114.56830.857 -38.974 57.565 173.165 1023 107.917 66.317 -101.128 -110.78 18.315 -55.573 49.083 184.357 1026 88.605 41.233 -80.922 -96.798 -8.3 -61.347 64.964 179.664 1029 53.595 14.345 -82.455 -89.492 -14.525 -59.903 73.356 188.779 1032 8.391 -21.833 -73.705 -59.723 -26.615 -55.754 89.598 210.441 1035 -21.562 -47.093 -66.218 -42.853 -40.237 -58.099 106.834 202.499 1038 5.323 -27.968 -57.287 -40.327 -20.931 -46.733 92.756 191.217

PAGE 158

142Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 1041 14.797 0.722 -41.68 -32.479-3.609 -23.998 111.707 176.505 1044 21.473 6.135 -43.846 -26.8856.767 -13.623 101.961 164.411 1047 20.932 -5.233 -41.41 -37.6211.173 -23.277 107.466 158.996 1050 -1165.405 -2.887 -47.364 -30.22314.706 -23.006 87.252 129.214 1053 31.127 5.052 -40.327 -23.6373.248 -24.359 91.854 133.997 1056 77.236 42.316 -34.103 -17.95445.113 3.428 98.261 107.375 1059 126.597 69.566 -32.298 -25.71256.301 -1.624 63.791 87.252 1062 135.983 82.921 -41.771 -28.69 69.656 7.488 49.354 57.114 1065 169.465 92.847 -57.829 -36.44873.717 17.413 25.443 35.278 1068 151.234 73.085 -64.955 -36.89963.971 16.601 43.308 27.699 1071 115.768 54.226 -87.236 -40.77848.993 15.699 21.473 43.94 1074 78.77 18.496 -78.306 -22.82539.248 24.812 21.924 33.564 1077 73.356 23.278 -93.28 -16.51 36.902 25.263 11.819 8.391 1080 106.653 55.399 -87.146 -23.54758.828 25.443 0.361 -9.203 1083 117.753 66.859 -87.146 -24.99184.364 45.835 -14.074 -37.531 1086 92.756 62.347 -104.285-50.25173.987 19.217 -29.682 -44.838 1089 87.342 50.256 -89.582 -38.43364.422 44.301 8.842 -16.871 1092 71.009 35.639 -83.358 -46.55253.324 23.278 -10.466 -10.195 1095 51.248 32.661 -82.636 -47.72542.767 22.466 16.15 20.842 1098 57.384 -1064.676-66.759 -49.43934.556 23.548 26.345 27.428 1101 55.58 32.21 -61.347 -50.25138.346 28.601 24.541 37.894 1104 83.642 67.851 -54.13 -67.75257.474 20.3 37.985 39.519 1107 156.469 106.834 -37.35 -84.71183.011 15.879 42.045 38.255 1110 193.653 137.065 -53.679 -144.96572.002 -0.993 31.849 56.031 1113 242.304 174.249 -44.928 -177.70489.598 15.338 67.671 86.44 1116 275.072 187.335 -47.003 -210.89392.666 -13.623 56.933 96.095 1119 261.531 193.112 -58.009 -248.31782.018 -25.712 71.822 124.16 1122 294.932 193.744 -61.076 -264.45880.304 -27.156 77.236 154.303 1125 281.481 195.007 -78.757 -284.02680.304 -33.652 -1489.778 160.981 1128 237.791 140.856 -87.958 -288.17354.407 -52.055 85.086 184.898 1131 179.303 103.405 -89.582 -245.79228.511 -49.98 93.569 199.971 1134 120.19 47.369 -93.19 -185.287.579 -49.89 96.005 212.247 1137 96.366 48.993 -79.569 -152.36118.766 -52.416 101.69 224.432 1140 40.872 -5.052 -85.523 -128.368-14.616-60.084 96.276 228.584 1143 65.235 14.436 -80.381 -107.9834.782 -1265.304102.412 220.821 1146 76.424 16.15 -73.976 -94.7237.128 -54.761 105.3 229.577 1149 123.438 53.414 -82.997 -85.07125.533 -58.821 113.602 228.313 1152 163.599 74.348 -83.087 -82.09533.473 -60.715 112.339 259.455 1155 182.01 72.363 -98.692 -84.89125.082 -1265.304116.038 274.259 1158 191.758 83.462 -111.952-92.46817.413 -86.244 124.521 304.411 1161 207.914 80.484 -110.78 -76.77323.278 -85.342 131.921 332.849

PAGE 159

143Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 1164 208.997 70.107 -137.659-72.7134.331 -104.285136.614 350.455 1167 198.076 64.422 -137.929-75.51 3.428 -1265.304140.044 386.209 1170 -1165.405 67.49 -156.6 -87.597-7.218 -123.678147.083 398.128 1173 200.513 64.964 -161.47 -78.216-10.014-131.255164.411 430.906 1176 157.01 44.391 -182.935-86.425-12.27 -127.286168.472 437.768 1179 110.895 33.924 -125.211-70.458-11.278-123.40848.542 202.589 1182 -1165.405 -60.174 -175.449-127.106-33.11 -114.027-26.705 82.289 1185 -15.247 -36.899 -152.631-129 -7.759 -69.466 -69.285 -15.067 1188 -27.336 -41.049 -137.929-142.8 2.797 -40.147 -103.473 -84.079 1191 -9.112 -32.659 -127.737-158.76433.203 -12.631 -121.964 -149.023 1194 5.233 -14.616 -117.996-166.88144.12 14.075 -143.792 -206.113 1197 22.646 10.737 -100.497-169.76860.993 34.105 -155.337 -233.167 1200 16.962 12.18 -92.829 -168.32472.363 29.323 -173.285 -295.026 1203 21.112 10.015 -92.378 -174.81874.348 47.459 -181.402 -315.944 1206 35.549 17.594 -87.958 -168.50583.191 70.288 -181.672 -360.393 1209 40.692 27.699 -76.773 -157.14199.885 69.475 -190.15 -392.848 1212 46.556 39.067 -69.827 -161.92195.825 60.001 -199.439 -417.639 1215 40.782 36.992 -65.406 -159.57686.891 -1265.304-216.574 -439.994 1218 47.73 44.932 -63.782 -153.894104.48882.74 -209.359 -424.85 1221 50.797 36.902 -69.285 -151.72996.366 87.432 -211.073 -440.715 1224 57.384 48.09 -59.543 -140.365101.69 86.349 -214.32 -446.935 1227 52.873 54.497 -50.341 -142.439111.887-1265.304-212.155 -456.94 1230 48.632 36.722 -59.903 -134.953103.31492.847 -215.221 -463.34 1233 51.519 33.564 -58.37 -140.27487.162 76.423 -227.937 -469.289 1236 36.541 34.466 -52.687 -142.8995.644 84.545 -225.322 -478.843 1239 53.595 39.158 -58.911 -134.86396.186 75.16 -214.951 -478.302 1242 42.135 40.331 -47.454 -128.36885.718 70.197 -214.41 -457.03 1245 29.864 33.022 -62.429 -131.34586.891 68.573 -229.019 -467.757 1248 39.97 43.218 -45.379 -116.37292.305 66.227 -224.871 -448.648 1251 23.548 28.06 -42.763 -108.79581.026 55.58 -229.74 -450.901 1254.002 10.466 15.879 -35.456 -101.66975.341 66.498 -211.975 -429.898 1257 7.759 25.172 -38.433 -96.07677.055 64.422 -213.147 -415.295 1260 20.3 28.06 -33.742 -85.252-629.38568.302 -198.898 -403.396 1263 4.331 32.661 -30.404 -83.89967.941 53.865 -209.179 -417.278 1266.001 -0.18 15.609 -26.434 -67.84266.317 54.948 -209.359 -391.315 1269 0.632 20.21 -22.825 -69.28555.58 48.451 -201.243 -373.105 1272 4.692 19.218 -3.879 -59.543-629.38551.158 -191.954 -361.114 1275 -15.698 10.195 -10.105 -54.04 55.219 34.646 -187.354 -339.927 1278 -20.39 4.24 -11.909 -56.38557.384 39.248 -176.712 -349.214 1281 -26.705 -5.233 -17.142 -40.68845.113 32.661 -188.707 -325.321 1284 -32.479 -4.872 -21.292 -39.96654.497 44.571 -168.775 -320.182

PAGE 160

144Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 1287 -31.396 -3.879 -6.586 -33.381 41.774 32.3 -169.226 -298.272 1290 -34.914 -8.12 -8.842 -24.54 42.857 19.939 -170.94 -301.789 1293 -40.147 -12.901 -13.082 -21.562 41.143 28.33 -172.293 -279.427 1296 -47.454 -8.661 4.692 -9.654 36.09 23.909 -172.293 -286.19 1299 -52.326 -17.683 -12.36 -19.397 27.067 6.947 -170.399 -268.246 1302 -57.017 -20.39 -8.3 -11.909 35.458 9.473 -162.642 -254.359 1305 -60.354 -17.863 2.616 -11.007 39.428 8.842 -163.995 -252.736 1308 -59.903 -31.576 -2.616 -5.413 21.293 0.902 -158.584 -240.472 1311 -66.218 -21.743 -2.707 10.646 30.586 9.834 -147.129 -226.404 1314 -69.556 -30.584 -1.353 3.97 19.308 4.601 -146.588 -228.929 1317 -70.819 -21.833 -2.526 10.285 12.721 -1.804 -153.713 -226.855 1320 -68.293 -30.945 0.541 1.353 18.406 -11.187 -157.862 -217.837 1323 -95.896 -36.629 -0.992 9.293 16.691 -7.759 -140.274 -206.564 1326 -85.793 -47.184 -0.18 15.699 3.338 -14.886 -153.713 -209.089 1329 -88.86 -48.356 -6.135 17.142 7.94 -22.555 -153.894 -196.644 1332 -90.664 -41.049 -8.932 14.075 -4.782 -20.39 -138.019 -179.508 1335 -90.574 -40.508 5.684 19.939 9.022 -11.548 -138.019 -184.468 1338 -92.198 -42.041 6.857 28.511 -4.15 -22.014 -153.894 -181.582 1341 -93.461 -55.303 -0.541 33.925 1.173 -18.766 -125.662 -173.556 1344 -95.986 -56.295 -6.045 33.564 -0.632 -28.87 -133.51 -166.521 1347 -103.654 -54.401 -1.624 24 -14.796 -36.899 -139.102 -163.815 1350 -101.94 -65.045 -7.308 27.609 -19.397 -47.905 -143.431 -170.399 1353 -111.501 -69.285 -2.887 45.925 -11.638 -21.743 -125.933 -158.313 1356 -105.818 -60.445 3.699 34.556 -11.548 -36.448 -122.145 -148.933 1359 -116.282 -59.091 -0.992 41.323 -6.225 -32.389 -120.07 -142.71 1362 -112.674 -61.166 6.225 34.376 -15.428 -23.457 -113.846 -135.584 1365 -106.991 -63.873 8.661 53.775 -15.789 -35.636 -129.541 -135.404 1368 -119.529 -57.197 4.511 49.083 -19.127 -31.847 -114.748 -126.745 1371 -121.423 -61.166 2.977 43.398 -22.916 -36.087 -115.47 -123.588 1374 -107.352 -66.399 17.413 50.978 -10.646 -1265.304 -110.87 -126.023 1377 -119.258 -72.533 6.315 48.361 -22.555 -49.71 -116.372 -125.302 1380 -120.882 -60.896 7.579 50.256 -17.232 -41.681 -105.097 -118.266 1383 -123.859 -59.543 4.872 54.587 -19.939 -38.252 -101.759 -103.022 1386 -121.062 -61.347 12.18 58.467 -19.487 -47.274 -88.048 -104.826 1389 -131.074 -70.638 7.849 52.061 -27.697 -53.047 -108.885 -112.313 1392 -115.019 -71.089 16.24 64.422 -20.57 -53.499 -102.03 -104.195 1395 -137.839 -74.788 1.083 52.512 -27.607 -58.55 -117.274 -106.63 1398 -130.894 -75.6 4.692 54.136 -32.479 -58.911 -116.733 -109.517 1401 -141.988 -84.169 -5.864 58.738 -26.705 -58.37 -100.857 -99.324 1404 -134.682 -70.999 10.827 54.316 -629.385-52.957 -111.321 -104.285 1407 -142.89 -75.87 -1.534 57.023 -46.823 -63.151 -113.305 -108.885 1410 -146.588 -90.845 -1.804 52.421 -43.124 -60.715 -94.002 -88.048

PAGE 161

145Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 1413 -145.686 -83.087 -7.759 49.173 -47.003 -71.45 -112.764 -104.285 1416 -153.443 -86.695 -3.97 54.316 -629.385-70.007 -118.086 -108.885 1419 -140.635 -79.118 5.052 61.174 -41.5 -55.303 -90.394 -85.793 1422 -145.686 -75.149 17.954 69.115 -37.08 -51.063 -88.77 -85.071 1425 -140.906 -89.943 11.729 55.941 -38.794 -59.272 -89.492 -87.327 1428 -135.043 -74.517 12.541 65.505 -33.561 -64.324 -103.383 -85.793 1431 -138.921 -87.056 11.819 79.221 -44.387 -49.89 -79.93 -78.667 1434 -151.729 -77.945 13.443 67.31 -31.757 -65.406 -96.798 -83.899 1437 -144.423 -85.703 10.195 62.076 -47.544 -70.097 -82.726 -70.278 1440 -140.545 -85.974 2.616 72.363 -43.124 -68.473 -101.849 -74.427 1443 -153.353 -95.535 -0.361 74.258 -51.604 -66.128 -105.006 -78.577 1446 -151.459 -95.355 4.421 66.408 -43.395 -72.443 -92.288 -77.855 1449 -149.384 -81.734 4.421 72.543 -39.966 -64.865 -84.711 -76.322 1452 -137.659 -90.935 6.586 74.619 -43.395 -73.886 -87.327 -73.345 1455 -152.451 -91.115 6.045 78.95 -49.89 -74.968 -86.605 -69.556 1458 -163.184 -99.594 5.323 65.054 -50.251 -1265.304 -91.927 -69.466 1461 -160.748 -108.795 2.436 67.4 -55.032 -82.275 -93.821 -75.239 1464 -167.423 -105.458 -5.143 55.67 -58.911 -82.095 -104.826 -81.283 1467 -158.403 -99.234 -2.165 57.926 -58.731 -78.577 -106.991 -67.481 1470 -160.117 -107.713 -2.346 68.302 -55.663 -80.832 -96.798 -74.156 1473 -164.086 -104.826 3.338 72.814 -50.792 -77.314 -96.347 -71.45 1476 -167.062 -105.638 1.804 60.723 -59.182 -82.456 -98.241 -73.796 1479 -173.916 -108.164 -4.421 62.076 -55.934 -75.329 -92.378 -62.159 1482 -165.258 -107.262 -13.082 59.821 -74.698 -91.115 -113.215 -64.504 1485 -176.171 -111.591 -14.074 69.115 -59.813 -84.079 -102.752 -76.231 1488 -168.866 -104.014 -8.932 55.58 -64.865 -98.332 -111.501 -69.285 1491 -173.285 -115.109 -17.052 54.226 -74.517 -98.422 -114.117 -79.749 1494 -177.163 -104.105 -0.361 66.678 -59.813 -90.484 -101.038 -63.151 1497 -174.367 -121.964 -14.345 60.903 -64.053 -94.363 -109.877 -71.45 1500 -165.619 -102.481 3.248 74.077 -60.715 -87.507 -86.334 -59.723 1503 -177.073 -107.803 -13.984 57.204 -70.548 -98.332 -95.986 -60.805 1506 -173.465 -113.305 -3.519 74.438 -58.55 -90.845 -95.265 -71.089 1509 -174.999 -110.148 -3.519 58.918 -64.414 -94.994 -105.548 -66.038 1512 -169.497 -115.38 -8.571 71.37 -60.896 -95.445 -98.241 -65.316 1515 -172.744 -114.388 0.722 65.144 -65.767 -89.492 -87.687 -56.475 1518 -177.073 -118.266 -2.165 61.084 -67.932 -1265.304 -98.512 -64.594 1521 -171.03 -105.728 2.346 65.595 -70.819 -89.852 -84.35 -49.89 1524 -166.521 -119.439 -9.654 55.219 -67.481 -99.414 -98.873 -58.821 1527 -181.943 -110.328 -2.707 65.415 -61.076 -92.919 -92.558 -55.663 1530 -174.187 -120.701 -9.293 60.633 -58.64 -93.731 -1489.778 -51.694 1533 -173.285 -110.599 1.353 60.723 -75.149 -100.316 -94.814 -61.617 1536 -178.065 -116.192 -10.917 60.993 -65.136 -100.857 -105.818 -67.932

PAGE 162

146Appendix M: Continued Table M.1 Continued Time [min] S12 S13R S13S S13T S14 S15R S15S S15T 1539 -193.758 -122.054 -11.278 61.625 -70.819 -99.414 -96.618 -63.963 1542 -184.739 -117.184 -9.834 64.332 -71.27 -106.901 -109.968 -64.504 1545 -184.378 -105.367 -5.052 65.235 -60.174 -95.535 -96.618 -55.934 1548 -176.893 -115.47 -8.932 65.505 -79.208 -105.458 -105.367 -60.805 1551 -164.717 -110.509 3.158 73.536 -63.061 -91.657 -84.711 -50.521 1554 -174.187 -109.156 -5.143 70.017 -62.068 -94.453 -92.017 -53.318 1557 -182.033 -124.49 -5.684 60.452 -66.489 -95.445 -87.778 -54.31 1560 -175.81 -112.764 -5.052 61.535 -76.051 -95.535 -101.489 -61.798 1563 -176.351 -112.223 -4.782 76.063 -67.301 -91.476 -91.296 -52.506 1566 -167.693 -118.717 -16.24 57.926 -73.164 -97.069 -101.489 -57.468 1569 -169.226 -117.274 -1.895 72.453 -64.685 -102.932 -94.633 -46.823 1572 -178.606 -118.266 -3.699 67.851 -71.18 -104.465 -100.045 -51.333 1575 -174.187 -118.356 -5.143 67.581 -77.404 -84.53 -88.59 -47.544 1578 -176.081 -110.509 -3.789 63.52 -76.772 -104.105 -104.465 -52.416 1581 -177.073 -125.572 -17.232 61.715 -74.608 -104.826 -92.558 -53.408 1584 -164.807 -109.336 2.526 71.912 -66.308 -99.504 -87.868 -53.138 1587 -168.144 -115.109 3.158 62.528 -72.984 -101.489 -98.241 -57.648 1590 -185.821 -114.929 -11.187 65.686 -68.473 -99.775 -94.092 -55.573 1593.002 -178.967 -123.498 -14.796 61.715 -67.301 -99.053 -95.625 -52.596 1596 -171.211 -111.05 -0.722 70.649 -68.924 -110.509 -100.677 -56.205 1599 -189.88 -116.101 -3.609 67.761 -68.564 -90.755 -70.819 -52.416 1602 -174.999 -113.666 -1732.57967.129 -68.834 -89.221 -81.373 -47.996 1605.001 -170.94 -114.929 -3.338 70.107 -76.772 -100.947 -89.221 -51.153 1608 -171.662 -115.74 -7.127 57.114 -72.894 -101.489 -83.448 -53.138 1611 -167.242 -107.262 -4.15 71.009 -61.257 -92.108 -76.141 -41.139 1614 -172.383 -109.697 0.271 66.588 -72.713 -101.128 -90.664 -47.815 1617 -185.911 -115.38 -6.406 58.377 -71.811 -108.254 -93.28 -48.356 1620 -166.43 -108.615 3.158 66.047 -76.953 -104.916 -90.394 -46.191 1623 -181.763 -124.129 -2.797 62.528 -74.968 -100.677 -99.324 -52.596 1626 -183.206 -121.423 -19.397 45.113 -84.169 -116.733 -103.654 -60.986 1629 -178.606 -115.38 0.18 57.384 -80.561 -100.316 -104.105 -54.491 1632 -179.598 -110.689 -5.955 55.038 -79.298 -95.806 -92.198 -45.921 1635 -176.532 -113.125 -6.406 61.715 -71.54 -95.355 -83.809 -44.567 1638 -164.627 -114.748 3.338 73.446 -81.914 -97.52 -86.244 -48.266 1641 -186.182 -120.16 -6.676 66.227 -71.811 -102.481 -93.01 -48.717 1644 -167.693 -111.862 -10.466 65.956 -74.337 -97.339 -97.159 -45.289 1647 -178.877 -111.411 -2.887 73.175 -73.345 -98.692 -91.296 -44.387 1650 -170.309 -108.795 -6.315 67.671 -75.329 -105.999 -96.618 -54.13 1653 -171.03 -121.243 -4.331 58.557 -74.247 -97.61 -96.979 -38.974 1656 -170.218 -115.65 -0.09 78.95 -629.385-92.198 -87.958 -46.733 1659 -183.386 -117.815 -5.052 53.955 -82.095 -109.697 -104.465 -47.454 1662 -178.065 -118.447 -5.413 62.076 -67.301 -93.641 -105.006 -57.197

PAGE 163

147Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 917.15 69.626 69.627 69.674 69.723 69.737 69.727 69.51 69.443 69.358 919.123 69.618 69.631 69.67 69.717 69.728 69.72 69.503 69.44 69.347 921.1 69.636 69.637 69.674 69.722 69.736 69.723 69.501 69.444 69.341 924 69.709 69.671 69.703 69.737 69.754 69.727 69.517 69.444 69.349 927 0 69.681 69.722 69.755 69.759 69.753 69.535 69.471 69.366 930 69.936 70.193 70.419 70.046 70.072 70.909 71.523 70.896 70.346 933 71.202 72.552 73.401 71.971 72.294 76.009 80.101 78.374 75.337 936 74.236 77.07 78.699 76.495 78.238 86.124 97.013 92.463 85.158 939.002 78.881 83.27 85.958 83.911 88.078 100.449115.689 110.113 98.496 942 84.762 90.625 94.47 92.96 99.727 118.351137.131 130.255 116.285 945 91.733 98.852 103.933103.36 112.552135.754159.647 152.149 135.474 948 98.99 0 113.449113.988125.457151.76 172.821 167.816 150.387 951.002 106.943 116.043123.047124.181136.289162.813187.233 183.705 165.532 954 114.264 124.082131.68 133.49 146.095174.661202.887 201.065 181.569 957 121.486 132.372140.58 142.974157.332188.295219.191 218.608 197.809 960 128.569 140.171149.268152.703168.745201.855235.165 236.079 214.165 963.001 135.202 147.835158.092162.901180.557215.307250.755 252.657 229.912 966 143.043 155.951167.194173.3720 228.753266.101 268.507 245.144 969 150.593 164.236176.305183.82 204.432242.313280.987 284.159 259.807 972 155.369 170.684184.567193.709215.851254.917295.213 299.403 273.736 975 158.7 175.12 190.891202.057225.305264.504305.728 313.129 286.361 978 161.809 181.03 197.496210.658234.792275.115316.014 327.53 298.805 981 169.326 186.698204.802218.722243.934286.911327.895 341.222 310.368 984 176.632 194.399212.63 227.104253.602298.278340.399 355.311 322.252 987 180.728 201.849220.054235.533263.246308.235352.212 368.37 333.275 990 188.177 208.133227.751243.833272.597317.291363.079 379.812 343.583 993 193.429 214.206234.969252.067281.615327.001373.3 391.039 353.724 996 201.349 221.525242.601260.38 290.939336.806383.5 401.312 363.524 999 207.928 228.531250.007268.406299.877346.2 393.375 412.952 372.702 1002 214.213 235.37 257.254276.358308.685355.374403.08 423.874 381.336 1005 220.402 241.762264.364284.274317.353364.17 411.653 432.754 389.171 1008 226.378 247.956271.18 291.868325.579372.422419.538 439.952 396.328 1011 231.666 253.582277.312299.013333.303379.495425.968 456.409 402.476 1014 236.677 258.707282.826305.356340.072385.477431.365 463.835 408.149 1017 241.105 263.373287.813311.067345.823390.8 436.617 469.164 413.567 1020 244.972 267.621292.555316.456351.229395.836441.022 472.84 418.304 1023 248.44 271.566296.86 321.352356.164400.348445.106 476.822 422.54 1026 251.884 274.501300.131325.727360.432403.101445.483 477.309 425.06 1029 253.703 275.705301.557329.014363.385403.241442.033 470.258 424.058 1032 254.254 275.565301.192330.185364.43 400.972435.404 460.066 420.183 1035 248.864 271.417296.295326.976360.86 391.788419.508 439.064 408.405 1038 247.602 266.746290.358319.538351.47 378.338401.202 413.837 393.675

PAGE 164

148Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 1041 245.463 263.584285.866314.23 344.297368.403387.519 396.096 381.42 1044 243.115 260.55 282.189309.975338.287359.87 376.094 382.237 370.393 1047 240.715 257.532278.781306.003332.617352.143366.116 370.563 360.277 1050 237.662 254.54 275.486302.052327.147344.761356.741 360.262 350.772 1053 235.014 251.422272.034298.002321.725337.866348.322 351.079 342.18 1056 232.207 248.56 268.732293.998316.72 331.616340.857 342.838 334.268 1059 230.721 247.439267.12 291.773314.635329.075338.581 339.951 329.09 1062 230.35 248.257268.052292.568316.133330.817341.848 343.545 327.501 1065 231.32 250.247270.39 295.267319.879335.162347.595 351.494 328.781 1068 233.337 252.913273.613299.157325.048341.322354.816 361.504 332.163 1071 235.98 255.612277.099303.26 329.751346.997360.193 368.563 335.536 1074 239.862 258.664279.869306.612333.344350.896362.867 371.358 337.584 1077 245.858 263.09 283.008310.009336.55 354.164364.075 370.504 338.158 1080 251.468 268.693287.899316.231341.677359.197367.449 372.754 338.479 1083 260.951 277.052295.697325.747349.742366.972373.377 378.077 340.071 1086 272.014 288.814306.898337.916361.543378.056384.403 390.059 344.673 1089 281.172 298.442317.994346.731371.188386.562391.454 396.099 348.991 1092 286.586 303.787324.646351.551375.116389.499393.249 395.127 351.099 1095 288.742 306.409327.619353.41 375.74 388.839391.323 392.076 351.384 1098 289.827 306.816327.875352.719373.334384.595385.671 384.744 349.327 1101 288.863 305.976326.618350.581369.501378.947379.058 376.785 345.895 1104 287.216 303.962324.712347.809364.55 372.459371.28 368.394 341.46 1107 284.459 302.897324.981347.248360.773366.441366.415 364.974 339.433 1110 285.276 305.967328.401349.365358.67 362.107363.058 366.372 341.615 1113 289.219 313.229336.322355.181359.3 360.088363.374 374.626 0 1116 296.683 322.893346.783363.095362.225360.529366.215 385.373 357.65 1119 305.076 333.489358.305372.186366.889363.187371.082 397.364 367.501 1122 314.07 344.301369.973381.821372.837367.546377.084 409.422 377.433 1125 323.193 354.774380.978391.119379.463373.038383.741 419.834 0 1128 331.148 364.162390.588399.635386.236379.144390.32 427.927 394.423 1131 338.981 370.584396.025405.807393.458387.164399.479 429.303 397.494 1134 344.894 375.857400.812411.23 401.612397.563407.994 431.748 398.518 1137 348.038 377.289401.59 413.08 407.452405.394412.72 430.599 397.26 1140 349.456 377.205400.745413.984411.261410.523415.263 427.81 395.404 1143 346.945 372.295393.998409.18 410.411410.74 411.829 419.896 390.687 1146 347.988 370.141388.986406.643411.206412.491410.834 415.972 388.855 1149 346.801 367.098385.189404.881411.594413.411409.961 413.229 386.991 1152 347.845 366.96 383.471407.16 415.07 417.784412.237 416.418 388.251 1155 351.61 369.245384.628411.489421.487425.071418.333 424.3 392.281 1158 355.348 373.141388.163417.573429.727434.023426.839 435.83 398.21 1161 359.877 377.703393.139424.689438.687443.485436.037 447.821 405.005 1164 363.992 382.486398.83 432.378448.288453.025445.7 459.777 412.307

PAGE 165

149Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 1167 369.038 387.561405.075440.378457.899462.323454.987 470.319 419.633 1170 373.639 392.734411.427448.366475.325471.219464.302 479.598 426.782 1173 378.333 398.125417.737456.277486.167480.288473.01 488.955 433.918 1176 382.973 577.76 421.484588.359496.498489.117481.424 497.5 440.899 1179 408.452 588.486542.731588.477500.237493.245485.021 498.136 443.51 1182 415.097 471.245480.835474.777473.849476.018455.277 441.907 422.249 1185 401.671 440.415455.051458.621461.969463.241440.851 422.201 403.892 1188 391.548 426.758440.962440.78 447.979450.389425.182 406.05 382.924 1191 380.424 412.873425.999424.079434.05 437.024410.453 0 362.561 1194 368.301 398.624411.008408.079420.344423.348396.199 374.326 342.828 1197 355.226 382.746394.545389.21 405.461409.471380.721 359.069 325.146 1200 342.741 369.197380.615374.027392.021396.108365.784 344.975 312.569 1203 332.173 356.375367.338361.499379.909383.202353.484 331.577 296.12 1206 319.644 343.01 353.65 345.722366.842370.478338.982 318.899 286.837 1209 310.486 332.364342.828336.904356.359358.507328.918 307.291 274.012 1212 298.318 320.122330.348319.768343.825345.935313.118 296.237 265.249 1215 290.021 309.805319.688313.894334.324334.747306.664 285.741 256.327 1218 280.597 299.091308.667301.572323.665324.178296.006 276.152 247.084 1221 272.779 290.574300.059294.114314.737314.4280 267.488 238.791 1224 265.343 283.044292.368287.19 306.464305.328278.828 259.11 232.035 1227 259.003 275.541284.531279.509298.215296.611270.97 251.757 224.811 1230 252.785 268.575277.219272.503290.384288.43 263.417 244.82 218.169 1233 246.613 261.569269.91 265.391282.786280.704256.326 238.377 212.523 1236 240.257 254.56 262.65 258.061275.277273.326249.486 232.261 207.563 1239 235.035 248.763256.561252.631268.8 266.459243.242 226.353 202.2 1242 0 243.159250.706247 262.452259.96 237.307 220.705 197.446 1245 224.965 237.363244.672240.906256.069253.577231.442 215.349 191.722 1248 220.355 231.887238.957235.316250.011247.562225.981 210.308 187.811 1251 215.489 226.522233.359229.853244.312241.823220.8 205.605 184.111 1254.002 211.398 221.658228.307224.998238.893236.344215.845 201.001 179.53 1257 206.786 216.492222.95 219.54 233.42 230.987211.007 196.752 176.374 1260 202.716 212.141218.436215.598228.582225.916206.531 192.58 172.248 1263 198.778 207.923214.025211.247223.842221.071202.212 188.51 169.762 1266.001 195.183 203.423209.352206.449218.976216.467198.051 184.863 166.803 1269 191.678 199.478205.187202.379214.493212.083194.08 181.387 163.653 1272 188.283 195.602201.159198.538210.201207.827190.397 177.941 161.188 1275 184.863 191.842197.244194.544206.1 0 186.842 174.762 158.603 1278 181.701 188 193.255190.393201.953199.845183.29 171.711 156.784 1281 178.723 184.549189.645187.335198.293196.013180.099 168.847 154.516 1284 175.827 181.427186.403184.287194.685192.401176.939 166.018 152.318 1287 172.93 178.334183.17 181.08 191.221188.955173.957 163.365 150.012 1290 170.425 175.13 179.817177.633187.72 185.606170.668 0 148.376

PAGE 166

150Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 1293 167.259 171.506176.109173.741184.11 182.302167.915 158.157 145.806 1296 164.824 168.951173.424171.49 181.164179.223165.365 155.629 143.859 1299 162.151 166.496170.857169.011178.286176.275162.791 153.301 142.248 1302 159.839 163.696167.94 166.08 175.198173.331160.329 151.185 141.182 1305 157.85 161.414165.49 163.907172.543170.586157.994 149.15 139.458 1308 155.512 159.117163.049161.443169.777167.915155.763 147.159 137.645 1311 153.514 156.747160.603158.86 167.109165.406153.53 145.294 136.355 1314 151.34 154.491158.218156.537164.581162.951151.483 143.438 134.748 1317 149.158 152.458156.067154.513162.245160.626149.49 141.611 133.817 1320 147.163 150.286153.774152.239159.817158.347147.537 139.941 132.779 1323 145.261 148.096151.495149.995157.474156.087145.641 138.345 131.268 1326 143.62 146.331149.633148.285155.397153.905143.843 136.728 130.334 1329 141.687 144.44 147.647146.273153.235151.871142.108 135.255 129.243 1332 139.975 142.619145.7 144.352151.129149.916140.479 133.907 127.765 1335 138.293 140.794143.774142.39 149.127148.027138.803 132.462 127.058 1338 136.424 139.06 141.967140.666147.239146.156137.238 131.07 125.719 1341 135.049 137.326140.162138.863145.344144.37 135.677 129.722 124.846 1344 133.275 135.565138.346137.032143.434142.598134.173 128.424 123.638 1347 132.13 134.369137.057135.974141.951140.934132.793 127.086 122.777 1350 130.695 132.945135.544134.397140.224139.243131.417 125.89 121.954 1353 129.438 131.389133.897132.752138.51 137.736130.109 124.871 121.11 1356 127.964 130.084132.517131.42 136.986136.246128.882 123.797 120.446 1359 126.607 128.707131.086130.018135.486134.786127.591 122.653 119.598 1362 125.461 127.415129.739128.671134.023133.328126.374 121.519 118.535 1365 124.161 126.111128.368127.224132.524131.976125.169 120.436 117.876 1368 123.128 124.996127.205126.154131.214130.636124.034 119.393 117.215 1371 121.959 123.619125.816124.787129.871129.304122.899 118.401 116.244 1374 120.607 122.362124.563123.521128.554NaN 121.73 117.379 115.345 1377 119.451 121.089123.286122.364127.314126.655120.566 116.27 114.469 1380 118.522 120.087122.231121.32 126.055125.4480 115.31 114.055 1383 117.46 118.999121.078120.158124.881124.263118.498 114.452 113.279 1386 116.466 117.834119.873118.893123.59 0 117.479 113.587 112.533 1389 115.474 116.777118.83 117.97 122.557121.919116.445 112.558 111.9 1392 114.5 115.803117.802116.984121.398120.812115.484 111.646 111.224 1395 113.526 114.779116.753115.959120.352119.748114.538 110.793 110.585 1398 112.687 113.905115.865115.089119.353NaN 113.644 109.949 109.91 1401 111.73 112.86 114.711113.839118.119117.706112.774 109.308 108.986 1404 110.987 111.997113.818113.092117.155116.729111.959 108.524 108.76 1407 110.187 111.143112.879112.089116.128115.812111.162 107.849 108.254 1410 109.483 110.36 112.039111.327115.272NaN 110.44 107.265 107.56 1413 108.799 109.676111.317110.62 114.386114.094109.755 106.66 107.168 1416 108.035 108.972110.565109.886113.525113.271109.078 106.114 106.509

PAGE 167

151Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 1419 107.26 108.192109.778109.072112.736112.419108.304 105.459 106.025 1422 106.517 107.467109.037108.38 111.909111.635107.629 104.78 105.756 1425 105.82 106.657108.16 107.481111.031110.817106.944 104.226 104.879 1428 104.98 105.872107.416106.793NaN 109.98 106.183 103.425 104.539 1431 104.379 105.218106.687106.035109.443109.219105.549 102.84 104.037 1434 103.782 104.548105.962105.344108.6550 104.893 102.331 103.575 1437 103.18 103.96 105.319104.701107.865107.771104.329 101.857 103.274 1440 102.551 103.179104.485103.844107.098107.092103.738 101.447 102.892 1443 101.953 102.721103.944103.306106.384106.454103.192 101.086 102.528 1446 101.46 102.191103.386102.788105.779105.831102.769 100.677 102.048 1449 101.02 101.788102.952102.366105.21 105.252102.262 100.208 101.807 1452 100.444 101.224102.342101.741NaN 104.662101.776 99.796 101.46 1455 99.943 100.732101.841101.237103.989104.055101.266 99.319 100.802 1458 99.374 100.207101.284100.706103.414103.526100.807 98.882 100.696 1461 98.819 99.656 100.704100.085102.778102.96 100.309 98.516 100.348 1464 98.244 99.175 100.17699.578 NaN 102.43299.864 98.139 99.85 1467 97.713 98.491 99.472 98.848 101.553101.89299.383 97.714 99.551 1470 97.351 98.085 99.016 98.465 101.054101.37798.961 97.35 99.332 1473 96.85 97.784 98.684 98.076 100.561100.86898.496 96.988 98.852 1476 96.432 97.314 98.197 97.621 100.051100.34598.074 96.562 98.368 1479 95.901 96.811 97.691 97.051 99.503 99.83 97.595 96.148 98.15 1482 95.338 96.372 97.221 96.582 98.994 0 97.133 95.811 97.891 1485 95.068 95.883 96.718 96.178 98.563 98.911 96.839 95.479 97.481 1488 94.75 95.68 96.491 95.963 98.151 98.479 96.457 95.139 97.265 1491 94.31 95.217 95.996 95.403 97.625 98.037 95.966 94.804 96.963 1494 93.904 94.84 95.596 95.091 97.261 97.61 95.749 94.478 96.55 1497 93.561 94.478 95.222 94.697 96.812 97.19 95.363 94.133 96.298 1500 93.211 94.15 94.867 94.346 96.366 96.789 95.035 93.836 96.131 1503 92.793 93.692 94.407 93.824 95.934 96.364 94.627 93.541 95.826 1506 92.483 93.412 94.113 93.607 95.611 96.018 94.314 93.2 95.406 1509 92.206 93.156 93.844 93.358 95.312 95.607 93.973 92.857 95.046 1512 91.844 92.843 93.523 93.015 94.872 95.239 93.638 92.522 94.888 1515 91.6 92.458 93.101 92.642 94.521 94.861 93.311 92.249 94.596 1518 91.216 92.142 92.792 92.311 94.138 94.456 92.997 91.931 94.32 1521 90.911 91.814 92.446 91.98 93.753 94.103 92.68 91.65 94.035 1524 90.612 91.453 92.062 91.611 93.345 93.76 92.38 91.397 93.917 1527 90.266 0 91.753 91.3 93.036 93.433 92.075 91.166 93.558 1530 90.023 90.915 91.496 91.055 92.749 0 91.77 90.911 93.34 1533 89.718 90.564 91.125 90.672 92.364 92.794 91.501 90.657 93.123 1536 89.462 90.256 90.808 90.381 92.023 92.486 91.246 90.417 92.775 1539 89.223 90.014 90.55 90.123 91.756 92.149 90.974 90.142 92.548 1542 88.903 89.674 90.218 89.78 91.404 91.871 90.689 89.872 92.46

PAGE 168

152Appendix M: Continued Table M.1 Continued Time [min] T0 T1 T2 T3 T4 T5 T6 T7 T8 1545 88.654 89.42189.94789.53591.14591.54690.419 89.648 92.038 1548 88.401 89.19889.67989.28 90.84191.26190.151 89.364 91.856 1551 88.131 88.95489.46 89.04390.59290.98689.894 89.145 91.689 1554 87.873 88.70889.20988.8 90.30490.74389.63 88.887 91.435 1557 87.569 88.35688.85388.45190.00990.41189.378 88.642 91.076 1560 87.357 88.12488.61588.21689.70290.12489.114 88.373 90.996 1563 87.148 87.88588.36687.96189.43389.84388.881 88.159 90.78 1566 86.915 87.66288.12787.74189.1730 88.628 87.974 90.609 1569 86.674 87.45287.90887.52788.94589.33388.411 87.77 90.226 1572 86.472 87.23 87.69387.32388.70189.08 88.167 87.526 90.016 1575 86.278 87.03987.48287.12388.46588.86887.974 87.311 89.804 1578 86.044 86.81687.24786.89388.21388.57987.747 87.109 89.699 1581 0 86.57787.00286.63887.95888.34787.532 86.892 89.457 1584 85.664 86.35586.76786.41887.70488.11587.32 86.699 89.405 1587 85.436 86.12286.53986.19187.48887.89487.106 86.516 89.147 1590 85.258 85.90686.32385.96287.23987.66786.912 86.342 88.934 1593.002 85.04 85.73 86.12385.77487.04387.45486.705 86.172 88.688 1596 84.88 85.54985.92885.59186.81887.25486.523 86.005 88.445 1599 84.701 85.35485.73985.38886.62187.04 86.337 85.803 88.376 1602 84.536 85.16285.52485.19686.39886.80386.151 85.635 88.247 1605.001 84.371 84.96685.32184.98486.16686.62985.986 85.501 88.129 1608 84.186 84.80485.14684.81785.98686.45885.826 85.383 87.936 1611 84.005 84.63 84.95684.62385.79 86.25285.654 85.237 87.715 1614 83.815 84.43584.75384.41885.57786.04185.476 85.077 87.523 1617 83.652 84.27484.59 84.26685.41485.86585.297 84.897 87.407 1620 83.453 84.10384.41784.09185.21985.66885.107 84.686 87.264 1623 83.307 83.91384.23 83.90585.02785.46184.916 84.49 87.114 1626 83.143 83.73484.04483.72984.83785.28184.73 84.377 86.895 1629 82.944 83.56483.86383.53784.63385.10984.579 84.221 86.778 1632 82.817 83.41683.70383.39484.47384.94284.423 84.105 86.564 1635 82.658 83.29283.57983.26984.32684.76784.259 83.943 86.297 1638 82.517 83.13183.41883.11284.16884.59 84.069 83.765 86.272 1641 82.335 82.97183.24682.93883.97684.42983.97 83.633 86.174 1644 82.203 82.82 83.08582.78 0 84.24983.804 83.529 86.025 1647 82.076 82.66782.89982.62983.64584.08383.673 83.401 85.783 1650 81.955 82.56882.82382.53783.51783.93683.495 83.276 85.632 1653 81.832 82.46982.72582.44383.40883.80483.403 83.141 85.471 1656 0 82.33582.61682.32383.16 83.67 83.257 83 85.323 1659 81.597 82.20582.43482.16683.10483.51883.127 82.86 85.193 1662 81.432 82.01582.26581.97782.93683.33282.926 82.694 85.004

PAGE 169

153Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 917.15 69.376 69.575 69.575 69.477 69.382 69.273 69.226 919.123 69.37 69.568 69.56 69.478 69.383 69.275 69.233 921.1 69.377 69.572 69.577 69.488 69.389 69.28 69.236 924 69.377 69.584 69.579 69.493 69.389 69.296 69.246 927 69.412 69.586 69.595 69.614 69.463 69.396 69.577 930 70.594 70.685 70.952 73.12 72.003 71.655 72.619 933 75.225 75.343 76.711 84.107 80.44 78.64 79.682 936 83.2 83.916 86.772 101.61993.318 89.849 90.403 939.002 93.538 95.351 99.586 122.275108.861103.804 103.219 942 105.769108.482113.783143.909125.434119.008 117.344 945 119.39 122.353128.529165.868142.154134.599 131.549 948 133.478136.495143.164186.98 158.82 150.153 146.063 951.002 147.499150.96 158.237206.77 175.19 165.522 160.274 954 162.098164.811172.871224.146190.75 180.064 173.408 957 176.639177.761187.219228.596205.736194.474 186.672 960 191.196190.171201.126246.15 220.383207.731 198.606 963.001 204.812203.516214.648266.13 234.428220.315 209.659 966 218.026216.501227.821284.575247.843232.481 220.682 969 231.149227.456240.774286.414260.377244.215 231.257 972 243.722237.613252.145295.135272.055255.614 243.021 975 256.042242.36 261.08 272.969281.446266.281 253.402 978 268.242248.02 270.259269.114292.931276.966 263.156 981 277.788261.374280.644329.801305.201287.436 271.449 984 288.411272.411291.445344.529315.769296.691 279.22 987 298.341280.076301.473325.069324.907305.297 287.242 990 307.48 288.591311.189343.345334.565313.486 295.124 993 316.7260 320.18 360.986343.6 321.204 301.047 996 325.138306.616330.316380.043352.379328.386 306.457 999 333.462315.701339.751387.705360.014334.296 310.996 1002 340.549323.682348.96 390.551367.168339.929 315.396 1005 347.524331.452357.81 403.146373.869344.827 319.969 1008 353.74 339.618365.957410.906380.169349.825 325.258 1011 359.154345.613372.603411.475385.252354.552 329.501 1014 364.531351.213378.754415.525390.373359.369 334.605 1017 369.715355.949384.239419.716395.383364.2 339.737 1020 374.408360.32 389.438424.365399.955368.526 343.776 1023 377.848364.51 394.015428.305403.636372.05 345.638 1026 380.903366.46 396.379426.835404.31 373.427 347.755 1029 380.946367.152395.574409.517400.266371.365 346.598 1032 377.319364.772392.066405.925393.355365.991 340.67 1035 366.622357.006383.182384.006379.679354.685 329.654 1038 358.417348.228371.685362.888365.919343.532 322.187

PAGE 170

154Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 1041 349.782339.978361.972351.555355.138334.163 313.227 1044 341.082332.171353.303341.614345.509325.353 305.291 1047 332.851325.121345.341335.868336.864317.034 297.653 1050 324.45 317.158337.528323.466328.183308.882 290.033 1053 317.498310.113329.956316.305320.391301.638 283.396 1056 310.879303.544323.138311.957313.67 295.361 277.717 1059 303.596301.27 320.672317.328309.832291.806 273.999 1062 299.041301.956322.466324.89 309.849291.131 273.727 1065 298.398304.36 325.789333.294312.21 292.675 275.546 1068 298.959308.104330.174343.302316.23 295.729 278.117 1071 0 310.96 333.062345.707318.703297.161 280.395 1074 301.54 311.949334.551341.618318.314295.894 277.707 1077 302.572311.793332.298332.073313.663292.483 275.056 1080 304.118312.791330.542327.614309.972289.42 273.535 1083 305.16 315.354332.667334.604309.724289.352 273.52 1086 307.911319.547337.115343.033312.732292.071 275.158 1089 310.63 321.505338.622344.521316.07 293.829 277.009 1092 313.004319.393336.172337.961316.091293.327 275.318 1095 314.247316.032331.676331.571313.697291.064 273.669 1098 313.521310.636325.842321.504309.625287.592 270.652 1101 311.722304.453320.074314.195305.144283.543 267.162 1104 307.814299.103315.347313.469301.686279.804 262.947 1107 306.106295.798313.389315.428302.293278.79 261.555 1110 306.599294.131314.454332.486309.165282.216 263.089 1113 310.964294.847319.271348.128321.114290.034 269.054 1116 317.086298.222327.181375.384336.19 300.823 276.563 1119 324.663303.171336.008393.562351.203312.262 286.258 1122 333.269308.96 345.237408.985365.452323.844 295.971 1125 341.272315.045354.079422.708377.841334.227 305.173 1128 348.772321.959362.696432.384388.654343.86 313.277 1131 352.894327.757370.518433.098395.648351.468 320.774 1134 354.625334.337377.324430.179396.983354.836 325.072 1137 355.008341.06 380.749413.642392.483353.943 325.558 1140 354.125346.217381.954412.777387.354350.807 322.917 1143 352.414347.232379.682394.682379.092346.109 321.475 1146 351.619347.736376.905389.93 373.445342.659 319.24 1149 350.81 346.279374.369382.549369.124339.732 317.508 1152 350.129345.721376.048393.493369.991340.217 318.76 1155 351.587348.392380.867407.912375.247343.707 321.795 1158 354.833353.821387.534422.248382.626349.261 326.999 1161 359.41 359.543394.956435.358390.717355.598 332.957 1164 364.879366.388402.703443.498398.808362.288 339.505

PAGE 171

155Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 1167 370.96 372.82 410.404454.679406.876368.962 345.19 1170 376.681379.465418.187463.689414.742375.454 351.014 1173 382.27 385.853425.691472.066422.281381.816 356.063 1176 387.955391.835432.313477.943428.972387.737 361.664 1179 393.118383.29 431.374416.593401.93 386.408 367.124 1182 212.544307.407282.013383.727340.579378.454 361.25 1185 156.529179.191121.544374.234325.388367.215 348.738 1188 160.735158.238132.984352.107296.91 353.335 335.078 1191 141.566136.139136.995331.882277.595339.946 322.81 1194 136.873133.248138.609316.049265.908326.085 309.964 1197 127.329134.141138.625300.77 251.864312.637 297.007 1200 130.328129.813137.984284.416238.324300.449 285.629 1203 122.06 123.305136.913272.829231.328288.656 274.565 1206 129.905120.813135.541258.549218.505277.379 263.957 1209 113.399117.041134.332249.949218.474267.532 254.75 1212 118.717117.277132.928236.631197.386257.212 245.34 1215 109.811108.555131.702231.169206.158249.009 238.525 1218 112.809113.299130.401222.979197.059240.557 230.728 1221 111.296110.429129.206215.675190.851233.019 223.546 1224 107.993102.984128.045209.434189.274226.045 217.654 1227 103.036104.356126.977203.714182.413219.6 211.504 1230 103.535108.941125.974198.931181.058213.644 206.139 1233 101.491104.576125.029193.033175.894208.008 200.836 1236 97.508 100.005124.217187.771169.969202.57 195.829 1239 96.315 98.316 123.376183.038166.22 197.558 191.324 1242 98.388 98.593 122.683178.778163.073192.891 187.003 1245 97.89 106.564122.037175.372161.138188.519 183.251 1248 95.444 102.66 121.435170.802158.348184.355 179.229 1251 94.464 100.234120.872167.262155.923180.524 175.557 1254.002 92.553 97.579 120.401163.739152.501176.702 172.138 1257 91.995 95.252 119.968160.529148.851173.014 168.324 1260 91.62 94.73 119.467157.228146.14 169.443 164.981 1263 91.87 95.404 119.111154.349144.426166.205 162.035 1266.001 88.68 98.435 118.727151.464142.063163.245 159.363 1269 92.26 97.8 118.379149.575142.712160.413 156.889 1272 89.169 96.084 118.043147.11 139.991157.614 154.136 1275 90.246 100.14 117.695145.3 140.731155.067 151.793 1278 88.866 92.933 117.431142.514134.933152.464 149.313 1281 86.256 89.802 117.105140.176132.251149.945 146.824 1284 88.347 92.099 116.766138.213131.451147.508 144.565 1287 85.57 91.712 116.486135.793128.134145.264 142.421 1290 88.147 94.999 116.205134.104125.89 143.104 140.054

PAGE 172

156Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 1293 94.246 90.125 115.791130.299123.674140.946 138.337 1296 86.791 91.037 115.441130.361125.039139.015 136.425 1299 87.037 90.102 115.275128.907123.155137.187 134.791 1302 84.034 88.057 115.016127.615121.637135.356 132.92 1305 84.791 87.62 114.711126.283120.532133.622 131.249 1308 85.148 88.822 114.389124.976119.768131.973 129.736 1311 84.413 92.157 114.181123.874119.531130.496 128.484 1314 85.741 91.834 113.926123.009119.345129.067 126.958 1317 84.452 89.568 113.636121.45 116.194127.672 125.729 1320 83.154 86.771 113.376120.289115.812126.292 124.409 1323 81.266 85.34 113.069119.188114.614124.923 123.04 1326 82.609 86.914 112.771118.157113.924123.607 121.76 1329 83.369 86.466 112.481117.018112.684122.337 120.486 1332 83.181 89.954 112.243116.242112.224121.152 119.361 1335 81.062 85.999 112.012115.133110.236120.044 118.306 1338 82.257 86.314 111.757114.268109.905118.957 117.306 1341 82.043 85.066 111.514113.264108.881117.873 116.284 1344 80.608 85.373 111.256112.554108.701116.797 115.228 1347 81.994 85.007 110.928111.793107.997115.77 114.261 1350 81.625 84.335 110.616111.025107.227114.813 113.254 1353 79.621 83.95 110.318109.786105.089113.866 112.387 1356 81.177 85.522 110.14 109.274104.818113.024 111.573 1359 80.637 85.751 109.94 108.514104.233112.179 110.719 1362 80.876 85.836 109.641108.309104.409111.277 109.815 1365 78.736 82.959 109.334107.479104.021110.508 109.202 1368 80.572 79.661 109.013106.796103.758109.704 108.416 1371 80.623 80.504 108.711105.88 102.621108.914 107.64 1374 85.685 82.869 108.36 105.261100.011108.041 106.647 1377 79.191 81.218 108.08 103.99399.188 107.26 105.837 1380 78.659 79.913 107.806103.25398.096 106.499 105.136 1383 77.682 80.91 107.573103.03699.309 105.824 104.52 1386 77.403 79.74 107.345102.68699.373 105.148 103.812 1389 78.744 79.53 107.082102.15299.118 104.505 103.378 1392 78.88 80.456 106.857101.67398.365 103.869 102.742 1395 79.912 80.628 106.625101.17195.768 103.155 101.699 1398 78.431 80.208 106.36 100.18594.257 102.426 100.815 1401 78.01 82.163 106.06899.782 94.748 101.802 100.458 1404 77.099 80.565 105.84799.169 95.021 101.26 100.056 1407 78.017 79.851 105.55499.063 95.859 100.749 99.578 1410 76.837 78.188 105.30698.778 96.068 100.243 99.204 1413 77.423 78.944 105.07698.468 95.772 99.728 98.677 1416 77.084 79.827 104.84798.041 95.056 99.228 98.125

PAGE 173

157Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 1419 77.922 80.845 104.58797.517 92.941 98.673 97.491 1422 78.233 78.962 104.31196.683 91.668 98.116 96.929 1425 76.69 78.704 104.01196.077 91.199 97.576 96.294 1428 76.475 79.716 103.78695.745 92.245 97.065 95.925 1431 76.567 79.67 103.57 95.74 92.62 96.658 95.5 1434 76.889 80.092 103.32995.447 92.232 96.226 95.121 1437 77.128 79.238 103.09895.08 91.609 95.808 94.697 1440 79.551 80.606 102.85594.552 89.117 95.286 93.969 1443 76.254 79.063 102.58694.007 90.379 94.901 93.853 1446 76.016 80.199 102.38494.064 90.318 94.504 93.471 1449 76.347 78.082 102.11893.801 91.059 94.167 93.239 1452 76.261 78.258 101.87993.573 90.84 93.817 92.945 1455 76.899 79.066 101.65993.168 90.205 93.508 92.639 1458 77.186 77.352 101.42292.977 88.998 93.125 91.993 1461 77.134 78.645 101.19492.42 88.657 92.716 91.705 1464 76.598 80.138 100.97292.259 88.771 92.377 91.374 1467 76.634 80.083 100.75 91.861 88.413 92.029 90.993 1470 75.492 78.761 100.51991.715 88.636 91.697 90.788 1473 0 79.223 100.3 91.254 87.006 91.372 90.442 1476 76.261 78.642 100.06591.046 88.018 91.084 90.216 1479 76.954 78.828 99.867 90.831 87.553 90.78 89.912 1482 77.754 78.281 99.638 90.438 86.418 90.459 89.518 1485 0 77.61 99.394 90.124 85.684 90.116 89.035 1488 75.852 75.698 99.108 89.619 85.328 89.744 88.743 1491 76.239 78.848 98.937 89.532 86.504 89.464 88.497 1494 75.03 77.105 98.714 89.565 86.984 89.235 88.358 1497 0 77.494 98.513 89.424 86.876 89.013 88.216 1500 75.612 77.431 98.29 89.285 86.901 88.804 88.034 1503 76.957 77.338 98.063 88.897 84.817 88.487 87.433 1506 77.696 77.829 97.802 88.592 84.687 88.146 87.117 1509 77.344 77.689 97.561 88.241 84.064 87.765 86.666 1512 75.89 75.637 97.324 87.832 83.952 87.406 86.295 1515 75.322 76.225 97.132 87.839 85.133 87.185 86.333 1518 75.84 76.913 96.939 87.699 85.124 86.994 86.209 1521 76.217 77.501 96.746 87.491 84.847 86.834 86.028 1524 76.458 76.503 96.546 87.246 84.086 86.639 85.651 1527 76.582 76.692 96.324 86.844 82.627 86.361 85.354 1530 76.677 75.424 96.105 86.462 82.633 86.038 85.005 1533 75.192 76.393 95.912 86.335 83.239 85.847 84.991 1536 74.517 75.792 95.73 86.391 84.037 85.694 84.945 1539 74.776 75.659 95.53 86.383 84.236 85.547 84.827 1542 74.98 76.442 95.347 86.069 83.572 85.36 84.657

PAGE 174

158Appendix M: Continued Table M.1 Continued Time [min] T9 T10 T11 T12 T13 T14 T15 1545 75.344 76.917 95.14 85.932 82.311 85.147 84.282 1548 76.477 76.81 94.931 85.446 81.773 84.85 83.93 1551 75.134 74.86 94.694 0 81.149 84.592 83.604 1554 76.048 75.128 94.478 84.872 81.196 84.309 83.39 1557 74.369 74.464 94.254 84.859 82.572 84.159 83.332 1560 75.021 75.001 94.092 84.881 82.829 84.015 83.254 1563 74.92 75.125 93.918 84.799 82.832 83.893 83.212 1566 75.603 75.411 93.75 84.49 80.809 83.676 82.815 1569 75.515 74.718 93.527 83.986 80.073 83.397 82.55 1572 75.195 74.578 93.333 83.716 79.758 83.142 82.169 1575 73.653 74.255 93.133 83.779 81.257 82.962 82.2 1578 74.189 74.85 92.976 83.803 81.635 82.85 82.168 1581 74.082 74.917 92.817 83.762 81.796 82.774 82.128 1584 74.139 75.233 92.652 83.74 81.758 82.67 82.063 1587 75.283 75.003 92.457 83.374 79.936 82.448 81.592 1590 74.194 74.63 92.259 83.076 79.794 82.24 81.442 1593.002 75.095 73.939 0 82.696 79.019 81.986 81.103 1596 73.821 74.012 91.845 82.758 80.414 81.827 81.111 1599 73.821 74.272 91.686 82.784 80.851 81.721 81.088 1602 73.697 74.65 91.553 82.782 80.971 81.644 81.059 1605.001 73.904 74.913 91.405 82.722 80.738 81.56 80.965 1608 75.159 74.75 91.232 82.359 79.034 81.378 80.596 1611 73.68 74.771 91.045 82.228 79.619 81.228 80.538 1614 73.134 76.042 90.872 82.208 79.923 81.115 80.459 1617 73.344 74.591 90.712 82.095 80.053 81.032 80.457 1620 73.808 75.472 90.564 81.994 79.656 80.95 80.399 1623 73.893 75.09 90.407 81.924 79.983 80.87 80.335 1626 73.878 75.566 90.263 81.831 79.398 80.769 80.123 1629 74.233 75.345 90.132 81.636 78.934 80.652 79.942 1632 74.152 74.355 89.94 81.366 78.14 80.481 79.749 1635 73.275 73.657 89.762 81.278 78.643 80.313 79.653 1638 73.839 73.493 89.595 81.306 79.547 80.231 79.656 1641 73.507 74.187 89.467 81.273 79.493 80.166 79.642 1644 74.153 75.194 89.325 81.157 79.078 80.079 79.536 1647 73.88 0 89.164 81.026 78.918 79.996 79.436 1650 74.2 75.841 89.008 80.817 78.228 79.848 79.237 1653 74.225 74.861 88.84 80.571 77.751 79.697 79.042 1656 73.369 73.98 88.68 80.476 78.127 79.574 78.99 1659 73.11 73.491 88.532 80.574 78.881 79.5 78.947 1662 73.502 75.046 88.392 80.499 78.469 79.423 78.905