appendix j – recommended simplified method vs. …

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APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. RIGOROUS ANALYSIS J-1

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Page 1: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. RIGOROUS ANALYSIS

J-1

Page 2: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Introduction

This appendix contains comparisons of distribution factors computed by the

recommended simplified method to distribution factors computed using the grillage

techniques outlined in Appendix F. The results are presented as plots of the simplified

method distribution factor on the Y axis and the rigorous distribution factor on the X axis.

No multiple presence or analysis factors have been included in these calculations. The

location reference is based on 10ths of the span lengths. For example, location 104

indicates a point 40 percent along the length of span number one. Similarly, location 100

indicates zero percent along span number one.

The plots are then repeated for the alternate distribution factor method for

moments. This method was developed to address the large variability in the primary

simplified method for one loaded lane for moment. These should be viewed with a focus

on the one lane loaded case.

J-2

Page 3: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Results

Slab On Steel I Girders

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.9669x + 0.064R2 = 0.862

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Figure J-1. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-3

Page 4: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.8869x + 0.0645R2 = 0.9001

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Figure J-2. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9959x - 0.0032R2 = 0.8718

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Figure J-3. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-4

Page 5: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0047x - 0.0037R2 = 0.3355

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Figure J-4. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.5127x + 0.4117R2 = 0.6799

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Figure J-5. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-5

Page 6: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.4879x + 0.3299R2 = 0.4254

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Figure J-6. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9977x - 0.0006R2 = 0.6297

0

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Figure J-7. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-6

Page 7: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0074x - 0.0026R2 = 0.8727

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Figure J-8. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 0.9817x - 0.0043R2 = 0.9519

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Figure J-9. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-7

Page 8: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 1.0166x - 0.029R2 = 0.9327

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Figure J-10. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 1.001x + 0.0047R2 = 0.9

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Figure J-11. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-8

Page 9: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 1.0045x + 0.005R2 = 0.8934

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Figure J-12. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 1.0032x - 0.0086R2 = 0.981

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Figure J-13. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-9

Page 10: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 1.0043x - 0.0151R2 = 0.9814

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Figure J-14. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 1.0012x + 0.0007R2 = 0.9683

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Figure J-15. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-10

Page 11: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 0.9962x + 0.0012R2 = 0.9446

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Figure J-16. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-11

Page 12: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Slab on Prestressed I and Prestressed Bulb Tee Girders

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.1096x - 0.023R2 = 0.9455

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Figure J-17. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-12

Page 13: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 1.0532x - 0.0227R2 = 0.9182

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Figure J-18. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9981x + 0.0023R2 = 0.9268

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Figure J-19. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-13

Page 14: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0004x + 0.001R2 = 0.6213

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Figure J-20. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.7534x + 0.2433R2 = 0.6417

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Figure J-21. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-14

Page 15: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.7449x + 0.178R2 = 0.7768

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Figure J-22. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 1.0006x - 0.0032R2 = 0.6586

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Figure J-23. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-15

Page 16: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0017x + 0.0039R2 = 0.9152

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Figure J-24. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 0.9491x + 0.0345R2 = 0.9275

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Figure J-25. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-16

Page 17: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 0.9515x + 0.0247R2 = 0.8987

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Figure J-26. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 1.0013x + 0.0042R2 = 0.887

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Figure J-27. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-17

Page 18: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 0.9992x + 0.0021R2 = 0.9146

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Figure J-28. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 1.0027x + 0.0032R2 = 0.9904

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Figure J-29. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-18

Page 19: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 0.9951x + 0.0025R2 = 0.985

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Figure J-30. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 0.995x + 0.0014R2 = 0.9834

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Figure J-31. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-19

Page 20: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 0.9973x - 0.0044R2 = 0.9889

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Figure J-32. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-20

Page 21: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Cast-In-Place Concrete Tee Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.1779x - 0.1031R2 = 0.9449

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Figure J-33. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-21

Page 22: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.8458x + 0.0756R2 = 0.9838

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Figure J-34. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 1.0011x - 0.0016R2 = 0.9546

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Figure J-35. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-22

Page 23: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0004x - 0.0015R2 = 0.7347

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Figure J-36. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.8785x + 0.1306R2 = 0.666

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Figure J-37. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-23

Page 24: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 1.0183x + 0.0194R2 = 0.8899

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Figure J-38. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9986x + 0.0035R2 = 0.9767

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-39. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-24

Page 25: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0001x + 0.0042R2 = 0.9133

0

0.2

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0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-40. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 1.0817x - 0.039R2 = 0.9706

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Figure J-41. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-25

Page 26: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 1.2527x - 0.1851R2 = 0.9384

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-42. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 0.9996x + 0.0014R2 = 0.8368

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-43. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-26

Page 27: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 0.9982x + 0.0012R2 = 0.9168

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-44. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 0.7812x + 0.1339R2 = 0.8751

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-45. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-27

Page 28: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 0.8251x + 0.1069R2 = 0.9113

0

0.2

0.4

0.6

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1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-46. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 1.002x + 0.0031R2 = 0.953

0

0.2

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1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-47. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-28

Page 29: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 0.9995x + 0.0035R2 = 0.9309

0

0.2

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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Figure J-48. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-29

Page 30: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Concrete Spread Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.432x - 0.3942R2 = 0.9054

0

0.2

0.4

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

peci

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Dis

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(Cal

ibra

tion

Onl

y)

Figure J-49. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-30

Page 31: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 1.0667x - 0.0904R2 = 0.8164

0

0.2

0.4

0.6

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

tion

Onl

y)

Figure J-50. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9981x - 0.004R2 = 0.9092

0

0.2

0.4

0.6

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-51. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-31

Page 32: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0058x + 0.002R2 = 0.6774

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-52. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 1.0443x - 0.0287R2 = 0.9699

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

peci

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Dis

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(Cal

ibra

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Onl

y)

Figure J-53. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-32

Page 33: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 1.2632x - 0.1978R2 = 0.9739

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-54. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9978x + 0.002R2 = 0.6756

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-55. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-33

Page 34: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 0.9942x + 0.002R2 = 0.5625

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-56. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 0.7748x + 0.1173R2 = 0.9827

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

peci

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Dis

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(Cal

ibra

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Onl

y)

Figure J-57. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-34

Page 35: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 0.8533x + 0.0843R2 = 0.9854

0

0.2

0.4

0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-58. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 0.9977x + 0.003R2 = 0.9566

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-59. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-35

Page 36: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 0.9965x + 0.0023R2 = 0.9235

0

0.2

0.4

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-60. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 0.8752x + 0.0313R2 = 0.9875

0

0.2

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0.6

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

peci

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Dis

trib

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(Cal

ibra

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Onl

y)

Figure J-61. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-36

Page 37: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 0.9014x + 0.031R2 = 0.9859

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-62. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 0.9971x - 0.0015R2 = 0.9807

0

0.2

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1

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-63. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-37

Page 38: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 0.9975x + 0.0038R2 = 0.9452

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-64. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-38

Page 39: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Cast-In-Place Concrete Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.81x + 0.0514R2 = 0.4949

0

0.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-65. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-39

Page 40: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.8566x - 0.0241R2 = 0.6494

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

tion

Onl

y)

fdsgs

Figure J-66. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9975x - 0.002R2 = 0.4313

0

0.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-67. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-40

Page 41: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0002x - 0.0028R2 = 0.2318

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-68. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.6368x + 0.1152R2 = 0.4314

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

peci

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Dis

trib

utio

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-69. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-41

Page 42: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.7894x + 0.0223R2 = 0.7423

0

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0.4

0.6

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1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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LR

FD S

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Dis

trib

utio

n Fa

ctor

(Cal

ibra

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Onl

y)

fdsgs

Figure J-70. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9967x + 0.0012R2 = 0.5843

0

0.2

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0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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utio

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(Cal

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Onl

y)

fdsgs

Figure J-71. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-42

Page 43: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 0.9937x - 0.0016R2 = 0.2739

0

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0.6

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

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Dis

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utio

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-72. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 1.0947x - 0.1032R2 = 0.8734

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

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Dis

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utio

n Fa

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-73. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-43

Page 44: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 1.091x - 0.0867R2 = 0.8558

0

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0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

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Dis

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utio

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-74. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 1.0033x - 0.0002R2 = 0.7972

0

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1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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LR

FD S

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Dis

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utio

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(Cal

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Onl

y)

fdsgs

Figure J-75. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-44

Page 45: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 1.0023x + 0.0008R2 = 0.8017

0

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0.6

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1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

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Dis

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(Cal

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Onl

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fdsgs

Figure J-76. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 0.9384x + 0.0136R2 = 0.991

0

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1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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LR

FD S

peci

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Dis

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(Cal

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Onl

y)

fdsgs

Figure J-77. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-45

Page 46: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 0.9711x + 0.003R2 = 0.9892

0

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0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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LR

FD S

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Dis

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(Cal

ibra

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Onl

y)

fdsgs

Figure J-78. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 0.9982x + 0.0007R2 = 0.9764

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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LR

FD S

peci

ficat

ion

Dis

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(Cal

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Onl

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fdsgs

Figure J-79. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-46

Page 47: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 0.996x - 0.0026R2 = 0.8782

0

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0.6

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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FD S

peci

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Dis

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(Cal

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Onl

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fdsgs

Figure J-80. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-47

Page 48: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Adjacent Concrete Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.7171x + 0.1012R2 = 0.7315

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

Prop

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FD S

peci

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Dis

trib

utio

n Fa

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(Cal

ibra

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Onl

y)

Figure J-81. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-48

Page 49: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.7318x + 0.0383R2 = 0.9846

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

Prop

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LR

FD S

peci

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Dis

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(Cal

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Onl

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Figure J-82. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9933x - 0.0026R2 = 0.9528

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

Prop

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peci

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Dis

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n Fa

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(Cal

ibra

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Onl

y)

Figure J-83. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-49

Page 50: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 0.9973x - 0.0003R2 = 0.4194

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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LR

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peci

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Dis

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utio

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(Cal

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Onl

y)

Figure J-84. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.7041x + 0.0894R2 = 0.7595

0

0.2

0.4

0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

Prop

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LR

FD S

peci

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Dis

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n Fa

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(Cal

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Onl

y)

Figure J-85. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-50

Page 51: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.6926x + 0.0456R2 = 0.9498

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-86. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9943x - 0.005R2 = 0.9233

0

0.2

0.4

0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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Dis

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(Cal

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Onl

y)

Figure J-87. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-51

Page 52: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0171x - 0.0036R2 = 0.7059

0

0.2

0.4

0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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Dis

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(Cal

ibra

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Onl

y)

Figure J-88. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00y = 1.0486x - 0.0678R2 = 0.9743

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

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Onl

y)

Figure J-89. Shear in the Interior Girder, 4 Lanes Loaded, Location 100.00

J-52

Page 53: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00y = 0.9822x - 0.0042R2 = 0.9643

0

0.2

0.4

0.6

0.8

1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-90. Shear in the Interior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00y = 1.0017x - 0.0009R2 = 0.965

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

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Onl

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Figure J-91. Shear in the Interior Girder, 2 Lanes Loaded, Location 100.00

J-53

Page 54: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Interior Girder, 1 Lane Loaded, Location 100.00y = 1.0033x - 0.0019R2 = 0.9342

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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Dis

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(Cal

ibra

tion

Onl

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Figure J-92. Shear in the Interior Girder, 1 Lane Loaded, Location 100.00

Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00y = 0.988x - 0.0183R2 = 0.998

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-93. Shear in the Exterior Girder, 4 Lanes Loaded, Location 100.00

J-54

Page 55: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00y = 0.9772x - 0.0037R2 = 0.9959

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

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Onl

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Figure J-94. Shear in the Exterior Girder, 3 Lanes Loaded, Location 100.00

Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00y = 1.0034x - 0.0049R2 = 0.9898

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

ibra

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Onl

y)

Figure J-95. Shear in the Exterior Girder, 2 Lanes Loaded, Location 100.00

J-55

Page 56: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00y = 1.0011x + 0.003R2 = 0.9898

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4Rigorous Distribution Factor

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FD S

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Dis

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(Cal

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Onl

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Figure J-96. Shear in the Exterior Girder, 1 Lane Loaded, Location 100.00

J-56

Page 57: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Results – Alternate Method for Moment

Slab On Steel I Girders

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.9669x + 0.064R2 = 0.862

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

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Dis

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For

Mom

ent (

Cal

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Onl

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Figure J-97. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-57

Page 58: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.8869x + 0.0645R2 = 0.9001

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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e LR

FD S

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Dis

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For

Mom

ent (

Cal

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Onl

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Figure J-98. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9959x - 0.0032R2 = 0.8718

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Onl

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Figure J-99. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-58

Page 59: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 0.9991x + 0.003R2 = 0.6518

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

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Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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Onl

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Figure J-100. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.9606x - 0.0461R2 = 0.9455

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

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utio

n Fa

ctor

For

Mom

ent (

Cal

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tion

Onl

y)

Figure J-101. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-59

Page 60: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.9916x - 0.0646R2 = 0.9346

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

ficat

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Dis

trib

utio

n Fa

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For

Mom

ent (

Cal

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Onl

y)

Figure J-102. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9954x + 0.0012R2 = 0.8566

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

ficat

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Dis

trib

utio

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For

Mom

ent (

Cal

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Onl

y)

Figure J-103. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-60

Page 61: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0074x - 0.0026R2 = 0.8727

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

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Alte

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Onl

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Figure J-104. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-61

Page 62: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Slab on Prestressed I and Prestressed Bulb Tee Girders

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.1096x - 0.023R2 = 0.9455

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

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e LR

FD S

peci

ficat

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Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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Onl

y)

Figure J-105. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-62

Page 63: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 1.0532x - 0.0227R2 = 0.9182

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

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Dis

trib

utio

n Fa

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For

Mom

ent (

Cal

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Onl

y)

Figure J-106. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9981x + 0.0023R2 = 0.9268

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

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Dis

trib

utio

n Fa

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For

Mom

ent (

Cal

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Onl

y)

Figure J-107. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-63

Page 64: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 0.9882x - 0.0059R2 = 0.8786

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

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e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

ibra

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Onl

y)

Figure J-108. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.9814x + 0.0197R2 = 0.9581

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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tion

Onl

y)

Figure J-109. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-64

Page 65: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.9823x + 0.0019R2 = 0.9507

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

ibra

tion

Onl

y)

Figure J-110. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 1.0025x - 0.0014R2 = 0.945

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

ibra

tion

Onl

y)

Figure J-111. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-65

Page 66: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0017x + 0.0039R2 = 0.9152

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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Onl

y)

Figure J-112. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-66

Page 67: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Cast-In-Place Concrete Tee Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.284x - 0.2908R2 = 0.5959

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent,

Cal

ibra

ted

Onl

y

Figure J-113. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-67

Page 68: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 1.4459x - 0.3087R2 = 0.6699

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent,

Cal

ibra

ted

Onl

y

Figure J-114. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 1.0408x - 0.0122R2 = 0.6405

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent,

Cal

ibra

ted

Onl

y

Figure J-115. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-68

Page 69: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0627x - 0.0173R2 = 0.6387

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent,

Cal

ibra

ted

Onl

y

Figure J-116. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.5835x + 0.2319R2 = 0.5679

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

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FD S

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ficat

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Dis

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For

Mom

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Figure J-117. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-69

Page 70: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.725x + 0.1552R2 = 0.7428

0

0.2

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1

1.2

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

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FD S

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ficat

ion

Dis

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For

Mom

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Figure J-118. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9953x + 0.0015R2 = 0.9454

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

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For

Mom

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Figure J-119. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-70

Page 71: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0001x + 0.0042R2 = 0.9133

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

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n Fa

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For

Mom

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Cal

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Figure J-120. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-71

Page 72: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Concrete Spread Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 1.432x - 0.3942R2 = 0.9054

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

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ficat

ion

Dis

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For

Mom

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Cal

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Figure J-121. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-72

Page 73: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 1.0667x - 0.0904R2 = 0.8164

0

0.2

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0.6

0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

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For

Mom

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Cal

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Figure J-122. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9981x - 0.004R2 = 0.9092

0

0.2

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0.8

1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

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ficat

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Dis

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For

Mom

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Cal

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Figure J-123. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-73

Page 74: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 0.9978x + 0.0005R2 = 0.6475

0

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1

1.2

1.4

0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

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ficat

ion

Dis

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For

Mom

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Cal

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Figure J-124. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.7142x + 0.0488R2 = 0.9414

0

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1

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

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ficat

ion

Dis

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For

Mom

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Figure J-125. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-74

Page 75: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.8243x + 0.0114R2 = 0.9217

0

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Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

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ficat

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Dis

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For

Mom

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Figure J-126. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 1.0012x - 0.0032R2 = 0.8327

0

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

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Alte

rnat

e LR

FD S

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Dis

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For

Mom

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Cal

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Figure J-127. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-75

Page 76: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 0.9999x + 0.0043R2 = 0.6184

0

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Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

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Dis

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For

Mom

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Cal

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Figure J-128. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-76

Page 77: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Cast-In-Place Concrete Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.5036x + 0.0851R2 = 0.7048

0

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e LR

FD S

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Dis

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For

Mom

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Figure J-129. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-77

Page 78: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.6751x + 0.0403R2 = 0.7714

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FD S

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For

Mom

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Figure J-130. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 1.0001x + 0.0003R2 = 0.8361

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Rigorous Distribution Factor

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e LR

FD S

peci

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Dis

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For

Mom

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Figure J-131. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-78

Page 79: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 0.9981x - 0.0047R2 = 0.8136

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Rigorous Distribution Factor

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FD S

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For

Mom

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Figure J-132. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.5573x + 0.0473R2 = 0.5171

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Rigorous Distribution Factor

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Figure J-133. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-79

Page 80: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.7394x + 0.0148R2 = 0.5624

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Rigorous Distribution Factor

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Alte

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Figure J-134. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 1.0021x + 0.0046R2 = 0.5944

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Rigorous Distribution Factor

Prop

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Alte

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Figure J-135. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-80

Page 81: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 0.9995x + 0.0018R2 = 0.5565

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Rigorous Distribution Factor

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Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

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n Fa

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For

Mom

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Cal

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Figure J-136. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-81

Page 82: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Adjacent Concrete Box Beams

Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00y = 0.7171x + 0.1012R2 = 0.7315

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Rigorous Distribution Factor

Prop

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Alte

rnat

e LR

FD S

peci

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Dis

trib

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For

Mom

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Cal

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Figure J-137. Moment in the Interior Girder, 4 Lanes Loaded, Location 104.00

J-82

Page 83: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00y = 0.7318x + 0.0383R2 = 0.9846

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Rigorous Distribution Factor

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e LR

FD S

peci

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Dis

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For

Mom

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Cal

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Onl

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Figure J-138. Moment in the Interior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00y = 0.9933x - 0.0026R2 = 0.9528

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Rigorous Distribution Factor

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Alte

rnat

e LR

FD S

peci

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Dis

trib

utio

n Fa

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For

Mom

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Cal

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Figure J-139. Moment in the Interior Girder, 2 Lanes Loaded, Location 104.00

J-83

Page 84: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Interior Girder, 1 Lane Loaded, Location 104.00y = 1.0035x - 0.0044R2 = 0.9086

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Rigorous Distribution Factor

Prop

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Alte

rnat

e LR

FD S

peci

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Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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Onl

y)

Figure J-140. Moment in the Interior Girder, 1 Lane Loaded, Location 104.00

Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00y = 0.7041x + 0.0894R2 = 0.7595

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Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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tion

Onl

y)

Figure J-141. Moment in the Exterior Girder, 4 Lanes Loaded, Location 104.00

J-84

Page 85: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00y = 0.6926x + 0.0456R2 = 0.9498

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Rigorous Distribution Factor

Prop

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Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

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For

Mom

ent (

Cal

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tion

Onl

y)

Figure J-142. Moment in the Exterior Girder, 3 Lanes Loaded, Location 104.00

Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00y = 0.9943x - 0.005R2 = 0.9233

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0 0.2 0.4 0.6 0.8 1 1.2 1.4

Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

ficat

ion

Dis

trib

utio

n Fa

ctor

For

Mom

ent (

Cal

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tion

Onl

y)

Figure J-143. Moment in the Exterior Girder, 2 Lanes Loaded, Location 104.00

J-85

Page 86: APPENDIX J – RECOMMENDED SIMPLIFIED METHOD VS. …

Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00y = 1.0011x - 0.0023R2 = 0.7406

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Rigorous Distribution Factor

Prop

osed

Alte

rnat

e LR

FD S

peci

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Dis

trib

utio

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ctor

For

Mom

ent (

Cal

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Onl

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Figure J-144. Moment in the Exterior Girder, 1 Lane Loaded, Location 104.00

J-86