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Pages 7-38

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From page 7...
... 5 CHAPTER 1. BACKGROUND The collapse of the I-35W Bridge has focused significant attention on the reliability and safety of truss bridges in the U.S.
From page 8...
... 6 when analyzed with respect to the FHWA Guide. This is not surprising considering that the original bridge designers had considerable discretion and probably did not follow or know of the exact procedures outlined in the FHWA Guide.
From page 9...
... 7 investigation will be discussed as they pertain to the limit-states examined. The discussion will also reflect results from a literature review of gusset plate research.
From page 10...
... 8 section from one member to overlap another, raising the question of how to handle interaction effects between members. There is no evidence to suggest a problem exists due to the Whitmore method providing unconservative results, but additional verification of results from a wide range of geometries would be valuable.
From page 11...
... 9 Figure 1. U10 gusset plate from the I-35W Bridge showing the plane for plotting stress distribution (A-A)
From page 12...
... 10 Gusset Plates in Shear The fundamental shear resistance of gusset plates is (BDS Section 6.13.5.3)
From page 13...
... 11 peak shear stress exceeds that predicted by the uniform shear distribution and is slightly less than that predicted by the parabolic shear model. It may be fortuitous, but the AASHTO flexural shear provisions (Ω = 0.74)
From page 14...
... 12  = 1.0, but will be less than 1.0 when  = 0.74. Therefore, the method used to calculate shear resistance can have a substantial impact on evaluating bridge safety and determining the need for strengthening retrofits.
From page 15...
... 13 Clearly an uncomplicated and consistent method of checking stability, even if the results are conservative, is a needed addition to the specifications. Initially, to address stability, the model that best predicts buckling in gusset plates needs to be determined.
From page 16...
... 14 behavior observed by Brown.(13) The FHWA model also shows that adding initial geometric imperfections along the gusset plate edge produces a significant reduction in the critical buckling load.
From page 17...
... 15 deterioration mechanisms are corrosion and fatigue. Of the two, corrosion is clearly more important from a strength perspective.
From page 18...
... 16 to the gusset. While effective, this is typically a very costly and time consuming operation and is best avoided unless absolutely necessary.
From page 19...
... 17 a) Original I-35W Bridge over Mississippi River (MN)
From page 20...
... 18 c) HW-23 Bridge over the Mississippi River (MN)
From page 21...
... 19 in Figure 8) in the I-80 Bridge over the Clarion River in Pennsylvania.
From page 23...
... 21 In general, the load versus displacement curve from the analysis has a loading and a postpeak unloading path. The peak ALF value from this plot is another important limit for the joint response.
From page 24...
... 22 Figure 13 shows the shear and normal stresses occurring along the B-B plane. The B-B plane stresses are harder to interpret because of the out-of plane bending effects around the compression diagonal.
From page 25...
... 23 Figure 10. Von Mises stress contour normalized to the yield stress at the peak load for I-35W U10 connection.
From page 26...
... 24 Distance From Left Edge of Gusset (inch) 0 10 20 30 40 50 60 70 80 90 100 110 N or m al iz ed S tre ss -1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 Shear (fv/vy0.58Fy)
From page 27...
... 25 Figure 13. Section B-B mid-thickness shear and normal stresses at failure.
From page 28...
... 26 Figure 14. Plot of out-of-plane displacement motion of Point 6 versus the ALF.
From page 29...
... 27 Figure 16. Equivalent plastic strain response contours at the limit load (ALF=9.72)
From page 30...
... 28 Figure 17. Plot of out-of-plane displacement motion of Point 8 versus the ALF.
From page 31...
... 29 Figure 19. Equivalent plastic strain response contours at the limit load (ALF=2.70)
From page 32...
... 30 Figure 20. Plot of out-of-plane displacement motion of Point 7 versus the ALF.
From page 33...
... 31 I-80 Bridge (Joint L3) Important load levels on the ALF versus out-of-plane displacement plot are shown in Figure 23.
From page 34...
... 32 Figure 24. Response contours at Strength-1 level (ALF=1.03)
From page 35...
... 33 Table 1 shows the resulting LRFR rating factors for each of the five connections. The I-94 connections used high-strength A325 bolts and therefore the slip capacity of the fasteners was checked, but not on the other joints which used rivets.
From page 36...
... 34 there may be the possibility that the two checks are redundant. The sensitivity of the Whitmore section crossing over multiple members should also be evaluated.
From page 37...
... 35 Table 1 Rating Factors for Five Representative Joints Type of Check I-80 I-40 I-94 HW-23 I-35W TENSION CHORD Whitmore Section 2.60 3.71 9.75 N/A 5.62 Block Shear 2.30 2.96 9.92 N/A 5.63 Fastener Shear Capacity 2.75 4.73 9.67 N/A 3.38 Fastener Slip Capacity N/A N/A 4.28 N/A N/A COMPRESSION CHORD Whitmore Buckling N/A N/A N/A 3.27 9.43 Fastener Shear Capacity N/A N/A N/A 4.38 7.58 TENSION DIAGONAL Whitmore Section 2.86 6.93 14.87 4.41 2.25 Block Shear 2.66 3.82 6.17 3.58 1.38 Fastener Shear Capacity 2.31 2.32 9.42 2.66 2.54 Fastener Slip Capacity N/A N/A 4.30 N/A N/A COMPRESSION DIAGONAL Whitmore Buckling 3.88 5.83 8.84 2.98 0.29 Edge Slenderness(a)
From page 38...
... 36 Table 2 Professional Factors for Five Connections, (RFEA/Rnominal) Type of Check I-80 I-40 I-94 HW-23 I-35W TENSION CHORD Whitmore Section 0.91 0.95 0.91 N/A 0.26 Block Shear 0.82 1.01 0.88 N/A 0.26 Fastener Shear Capacity 0.77 0.91 1.34 N/A 0.46 Fastener Slip Capacity N/A N/A 3.10 N/A N/A COMPRESSION CHORD Whitmore Buckling N/A N/A N/A 0.37 0.06 Fastener Shear Capacity N/A N/A N/A 0.63 0.09 TENSION DIAGONAL Whitmore Section 0.94 0.69 2.09 0.73 0.66 Block Shear 0.83 0.90 3.42 0.74 0.66 Fastener Shear Capacity 1.14 1.51 1.10 1.21 0.67 Fastener Slip Capacity N/A N/A 4.11 N/A N/A COMPRESSION DIAGONAL Whitmore Buckling 0.63 0.85 3.63 1.29 1.00 Edge Slenderness Pass Pass Pass Fail Fail Fastener Shear Capacity 0.74 1.18(a)

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