LAB3 Cosmic Ray Test Stand Analysis of Steel Stack Supports Page: 4 of 5
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The weight is assumed to be uniformly loaded on the bottom layer.
8 - 5W13/384EI - 5x77,000 lbs x 84"1/384 x 30e6 psi x 4492 in4 - 0.004"
a - -WI/8Z = -77,000 lbsx84"18x4492 in4/4.125" - -742 psi
Deflections and stresses due to the weight of the top stack:
The top stack is assumed to rest on two rails, one along each 99"
long side, which rests on the bottom stack. The top stack puts a
load of 20,000 lbs on each rail. The rails are positioned
approximately 20" from each side of the bottom stack.
5 - Wa/24EI x (312-4a2)
- 20,000lbs x 20"/24 x 30e6 psi x 4492 in4 x (3x84"2-4x20"2) - 0.002"
a - -Wa/Z = -20,000lbs x 20"/4492 in4/4.125 - -368 psi
Total stack deflections and stress at the bottom layer:
Swta - 0.008"
acs - -1481 psi
Conclusions:
The 155,000 lb steel stack assembly planned for the cosmic ray stand at Lab 3 is
thought to have the bottom two layers of the stack welded and supported by three
legs. The legs are thought to be 12" long x 3" wide and 6" tall. The legs are
assumed to be supported by at least 3.5" thick high compressive strength material
such as steel plate and grout. Two legs are at each end of the 99" long length and
the third leg is on the opposing side of the stack at the bottom plate seam. This
sufficiently exceeds the size requirements of the support leg. The bottom two
layers are thought to be welded together by a " wide weld 3" long at 24"
intervals around the stack. Welds are also thought to be at the plate seams in the
bottom and second layers. This sufficiently exceeds the weld requirements to
support the stack.
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Cease, H. LAB3 Cosmic Ray Test Stand Analysis of Steel Stack Supports, report, May 8, 1998; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc840031/m1/4/: accessed April 26, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.