What about these parts?
"The exterior frame underwent minimal lateral displacement when floor beams thermally expanded, since the exterior framing with moment connections was much stiffer than the interior girder"
(...)
"Buckling in the floor beams was due to the combined effects of loss of lateral restraint, increased axial loads due to thermal expansion effects and gravity loads from the floor slabs"
Two important things.
1 - The beams were not unrestrained.
2 - The buckling was caused by a combination of differents effects. Do you know the difference between buckling and "lateral buckling"?
Hi Carlos & SRW:
"1 - The beams were not unrestrained." - they were bolted on each end, but NIST removes the shear studs from the girders, and makes statements to suggest they expanded to push the intersecting girder off its seat. Trouble is they say elsewhere they buckled. Oops, their bad.
"2 - The buckling was caused by a combination of differents effects. Do you know the difference between buckling and "lateral buckling"?"
To your inquiry, and thank you for the engagement:
"Buckling in the floor beams was due to the combined effects of loss of lateral restraint, increased axial loads due to thermal expansion effects and gravity loads from the floor slabs"
This is exactly why the "buckling-expanding" beam initiated is easily debunked. You can't have this both ways. If the floor beams buckle due to any one of or combined effects of lateral restraint, increased axial loads etc., their ability to push for a "walk off" of the girder to column 79 (2 above, 2 below) 4 x 7/8" A490 bolt connection just does not exist.
If so how? The intersecting girder wins if the beams buckle. Please explain in detail if you disagree. If not, I'll assume you do agree.
I think so. And you're right, according to NIST's statements. First, Ron Brookman S.E. wrote a detailed analysis on NIST's woo, entitled:
The NIST Analyses: A Close Look at WTC 7, dated March 26, 2010. It shines light on a few things. Thank you Ron. Please read it and please enjoy it.
Failure of the floor framing at the east end of floor 13 was blamed for initiating the series of events that led to complete collapse. A discussion of existing floor plans and combustibles includes the following statement:
"…there was some uncertainty regarding the nature of some spaces. Notably, the U.S. Securities and Exchange Commission (SEC) and American Express occupied all but the east side of the 13th floor, and NIST was unable to find people who recalled the nature of the unoccupied space." NCSTAR 1-9, p. 48.
It is unlikely that those who managed the tenant spaces of this 47-story office building could not recall, or could not find out, who or what occupied the specific location where the collapse initiation was said to occur. Apparently NIST did not use their subpoena power to obtain this information from the building owner.
According to NIST the floor framing failed as a result of several factors including failure of shear studs, buckling of beams, and ''walk off'' of girders due to unrestrained thermal expansion of perpendicular beams.
"Primarily for the east tenant floor, when a floor beam thermally expanded, the beam displaced the girder at the interior end of the floor beam but did not displace the exterior frame at the other end of the floor beam." NCSTAR 1-9, p. 526.
"Many of the east floor beams on Floors 12, 13, and 14 failed by buckling, as shown in Figure 11-27 and Figure 11-35." NCSTAR 1-9, pp. 526-27.
Of course the beams were not unrestrained, but by NIST's statements (and some help from computer model's 'relative displacement'), the beams both buckled and pushed the 79 to 44 girder.
Which is it? And how can you have both? Either the beams buckle (figure 11-27, 11-35 and figure 8-27) or they expand to break the seated connection. Pick one, you can't have this both ways.
If the beams are unrestrained at one end, how can they develop the compressive force necessary for buckling to occur? Alternatively, how can the beams push the girder laterally if they have buckled in compression?
Reasons listed for the loss of lateral support to columns 79 through 81 include:
"The buckling failure of the east floor beams and exterior columns was caused by restrained thermal expansion and failure of the shear studs along the beam length." NCSTAR 1-9, p. 537.
What exterior columns? It is not clear what buckling failure of exterior columns is referred to in the preceding statement. I thought the interior columns failed well before the exterior...but whatever. And NIST previously stated "…the beam displaced the girder at the interior end of the floor beam but did not displace the exterior frame at the other end of the floor beam." NCSTAR 1-9, p. 526.
If thermal expansion of the floor beams did not displace the exterior frame, then how would buckling of exterior columns occur?
The thermal expansion of the WTC 7 floor beams that initiated the probable collapse sequence occurred primarily at temperatures below approximately 400° C (750° F). NCSTAR 1A, p. 59.
Unrestrained thermal expansion of 52 foot long beams was blamed for pushing a girder off its bearing seat at column 79. This linear expansion is about 3.5 inches at 400° C, but this is a full two inches short of the 5.5-inch lateral displacement required for loss of vertical support. ''Walk off'' is the term NIST used to describe the failure mode where a beam or girder moved axially or laterally off its bearing seat losing all vertical support. The walk-off failure was assumed to be complete when lateral displacement of the beam or girder end moved past the point at which the beam web was aligned vertically with the edge of the bearing seat. (NCSTAR 1-9, p. 488.) One of the least ''state-of-the-art'' features of the complex analysis performed by NIST is the means by which they accounted for the lateral walk-off failure of the girder at column 79, and convincing documentation of this triggering failure mode is nonexistent.
Why?
"A control element (COMBIN37), a unidirectional linear spring element with the capability of turning on and off during an analysis, was used to model walk-off." NCSTAR 1-9, p. 480.
"The travel distance for walk off was 6.25 in. along the axis of the beam and 5.5 in. lateral to the beam." NCSTAR 1-9, p. 482.
Since the COMBIN37 element could only account for displacement in one direction (axially), what accounted for displacement in the lateral direction?
"A control element was used to model beam walk-off in the axial direction. Beam walk off in the lateral direction was monitored during the analysis." NCSTAR 1-9, p. 482.
Monitored by what?
NIST summarized the floor framing failures that led to collapse initiation, and lateral girder walk off at columns 79 and 81 was the failure mode allegedly responsible for the start of collapse. (NCSTAR 1-9, p. 536.)
Where are the analytical results that substantiate walk-off failures at columns 79 and 81? Where is the output data from the ANSYS analysis that confirms the lateral walk-off failures?
Oh that's right, it would jeopardize public safety of course...got it.
And the shear studs, by which NIST derives it's differential displacement woo. Different NIST reports say different things about shear studs on girders. If any steel was retained we might know this, but 100% of WTC 7 was China-recycled. Mr. Bloomberg thought that computer simulations were good enough.
Who needs to test the evidence during a cover upclean up anyway?
http://wtc.nist.gov/NCSTAR1/PDF/NCSTAR 1-1.pdf
Also, NCSTAR 1-1 p.14 states that "Most of the beams and girders were made composite with the slabs through the use of shear studs. Typically, the shear studs were 0.75 in. in diameter by 5 in. long, spaced 1ft to 2 ft on center."
By contrast
"In WTC 7 no studs were installed on the girders." NCSTAR 1-9, p 346.
By additional contrast
NCSTAR 1-9 p. 543 shows shear studs where shown on plan, and a "typ interior beam or girder diagram" with shear studs on top. Further, there is another error right on Figure 12-4, it says "Based on Fabrication Shop Drawings (Cantor 1985)." Cantor was the engineer of record and did not prepare the fabrication shop drawings. It should say "....(Frankel Steel Limited 1985)."
Finally, There was no steel debris examined,
so how does NIST know there were no shear studs on the 13th-floor girder spanning between columns 44 and 79? Wouldn't the contract documents and structural plans settle this? FOIAs are pending.
NCSTAR 1-9 Section 8.8 describes the finite-element analysis of a partial singlefloor framing system bounded by interior column 79 and exterior columns 44, 42 and 38. This is the area blamed for the collapse initiation; this is the subsystem model that predicted failure of shear-studs and girder connections, beam buckling and excessive lateral displacement of a girder at column 79—all triggering collapse initiation.
The purpose of this subsystem analysis was to demonstrate ''possible failure mechanisms that were used to develop the leading collapse hypothesis further." (NCSTAR 1-9, p. 353.) Girder and beam temperatures were assumed to be 500 degrees and 600 degrees Centigrade respectively, and the slab was assumed to remain unheated. NCSTAR 1-9, p. 349.
"No thermal expansion or material degradation was considered for the slab, as the slab was not heated in this analysis." NCSTAR 1-9, p. 352.
Why not? The concrete floor slab could not possibly remain unheated in an atmosphere where steel beams supporting the slab were heated to 600 degrees. The beams were coated with thermal insulation, so the air temperature would have been even hotter than 600 degrees. The duration would also have to be longer than what photos indicated.
"The boundary conditions and temperatures were selected to create maximum shear forces on the stud connectors and beam and girder connections." NCSTAR 1-9, p. 349.
*scratches hair under tin foil hat*
Huh?
The NIST partial-floor model did not allow the slab to expand thermally with the steel beams, and neglecting thermal expansion of the slab has the effect of imposing additional relative displacement on the shear studs connecting the concrete to the steel. This subsystem analysis formed the basis for special connection elements used in the global analyses as described in the following passages.
"The failure modes in this model [the partial floor] were incorporated into the 16 story ANSYS and 47 story LS-DYNA analyses." NCSTAR 1-9, p. 353.
"These results helped to guide the development of special connection elements…that captured the salient features and failure modes of the various types of connections used in the floor system of WTC 7." NCSTAR 1-9, p. 359.
NIST states that ''even though steel and concrete have similar coefficients of thermal expansion, differential thermal expansion occurred between the steel floor beams and concrete slab when the composite floor was subjected to fire." (NCSTAR 1-9, p. 490.) This relative displacement occurred in the ANSYS model, and no physical testing was done to verify its magnitude in the steel-and-concrete structure.
Of course NIST didn't take steps to maximize the destructive effects of any relative displacement due to thermal movement.
Who would ever even think to do such a thing?