How NIST determined girder C79-C44 on the 13th floor failed by fire
[FONT="]1) [/FONT][FONT="]NIST analyzes the northeast corner floor system to evaluate its response to elevated temperatures and to confirm which failure modes need to be accounted for in the 16-story and 47 stories models.[/FONT]
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[FONT="] “A finite element analysis of the northeast corner floor system was conducted to evaluate its response to elevated temperatures and to confirm which failure modes needed to be accounted for in the 16-story ANSYS model. ….. This analysis demonstrated possible failure mechanisms that were used to develop the leading collapse hypothesis further. The failure modes in this model were incorporated into the 16 story ANSYS and 47 story LS-DYNA analyses.[/FONT][FONT="] (Section 8.8 pp.349,353)[/FONT]
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[FONT="]2) [/FONT][FONT="]NIST determines C79-44 failed by lateral-torsional buckling in the one story and 16 story models.[/FONT]
[FONT="]Here is a paraphrased version of the most detailed explanation of how NIST described the failure of girder C79-44 for a one floor model in their report (NCSTAR 1-9, section 8.8, their pp. 349-354):
The expanding beams pushed the C79-44 girder to the west. The expanding girder jammed at C79 and C44. The beams continued to expand and were axially compressed by the resisting girder, buckling the beams. The sagging beams rotated the heated, buckled girder to the east. (See Figures 8-26, 8-27). At a certain rotated critical angle of the top flange, the girder failed to carry its load and fell. (Section 11.2.9, pp.487-488)[/FONT]
[FONT="]“Axial compression then increased in the floor beams, and at a beam temperature of 436 °C, the northmost beam began to buckle laterally. Buckling of other floor beams followed as shown in Figure 8–27 (a), leading to collapse of the floor system, and rocking of the girder off its seat at Column 79 as shown in Figure 8–27 (b)”[/FONT][FONT="] (p. 353) See Figures 8-27(a,b).[/FONT]
[FONT="]“If a beam or girder twisted half of its flange width laterally, it would not be able to support its gravity loads and would be removed from the analysis. “ [/FONT][FONT="]In this girder case half of the W30x133 flange width = 5.25”[/FONT]
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It should also be noted that whereas the attention has been focused on the seat at C79, this unrestrained girder condition at this seat was of an area of a few square inches whereas the twisting forces on the girder occurred over the entire ~44 foot girder, failing it as NIST noted in their lateral- torsional buckling analysis and figures.[/FONT][FONT="][/FONT]
[FONT="]3) NIST uses the one floor model findings in the 16 floor model section 11.4.1 and determines C79-44 failed by buckling.[/FONT]
[FONT="] “Thermal Effects on Floor Beams and Girders[/FONT]
[FONT="]The girder between Columns 26 and 81 buckled and walked off the bearing seat between 3.25 h and 3.5 h. In a similar fashion, the girders between Columns 79 and 80 and Columns 80 and 81 buckled and the girder between Columns 44 and 79 buckled and walked off the bearing seat between 3.7 h and 4.0 h. Girder buckling was due to the combined effects of (1) gravity loads from the floor beams, (2) lateral westward displacement due to the thermal expansion in the east floor beams, and (3) increased axial loads due to thermal expansion in the girder. “(p.527)[/FONT]
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[FONT="]4) [/FONT][FONT="]In light of the buckled girder failure, how then is the following consistent?[/FONT]
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[FONT="] “Thermal Effects on Connections for Floor Beams and Girders[/FONT]
[FONT="]Walk off occurred when beams that framed into the girders from one side thermally expanded and the resulting compressive forces in the beams pushed laterally on the girder from one side, sheared the bolts at the seated connection, and then continued to push the girder laterally until it walked off the bearing seat. A girder was considered to have lost vertical support when its web was no longer supported by the bearing seat. The bearing seat at Column 79 was 11 in. wide. Thus, when the girder end at Column 79 had been pushed laterally at least 5.5 in., it was no longer supported by the bearing seat.“[/FONT][FONT="](p.527)[/FONT]
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[FONT="]The failure of the girder by buckling is clear. Is this second explanation consistent with the buckling mode?[/FONT]
[FONT="]a) [/FONT][FONT="]The beams continued to push laterally in both explanations.[/FONT]
[FONT="]b) [/FONT][FONT="]The girder lost vertical support when the web was no longer supported by the bearing seat in both explanations.[/FONT]
[FONT="]c) [/FONT][FONT="]The girder end at Column 79 had been pushed laterally at least 5.5” (half the buckling flange failure lateral distance from vertical was 5.25”) in both explanations.[/FONT]
[FONT="]d) [/FONT][FONT="]The girder was no longer supported by the bearing seat in both explanations.[/FONT]
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[FONT="]5) [/FONT][FONT="]NIST is right, fire not explosives caused the collapse of WTC7[/FONT]
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