Problem # 7: A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3 inches long in the z direction. The block is subjected to a triaxial loading of three resultant forces as follows: 72 kips compression in the x direction, 60 kips tension in the y direction, and 56 kips tension in the z direction. If v = 1/3 and E = 29 x 10° psi, ( a ) determine the single resultant load in the z direction that would produce the same deformation in x direction as the original loadings. (b) determine the single resultant load in the y direction that would produce the same deformation in x direction as the original load ings. * 60 kips 72 kips 56 kips 2 in.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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SOM 7.1 Show your complete/correct solution. ( I need detailed solution since there is given answer.) Given answer: Pz = 160 kips Py = 80.005 kips
A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3
inches long in the z direction. The block is subjected to a triaxial loading of three resultant forces as follows: 72
kips compression in the x direction, 60 kips tension in the y direction, and 56 kips tension in the z direction. If v
= 1/3 and E = 29 x 10° psi, ( a ) determine the single resultant load in the z direction that would produce the same
deformation in x direction as the original loadings. (b) determine the single resultant load in the y direction that
would produce the same deformation in x direction as the original loadings. *
Problem # 7:
60 kips
56 kips
72 kips
2 in.
4 in.
3 in.
Transcribed Image Text:A rectangular steel block is 4 inches long in the x direction, 2 inches long in the y direction, and 3 inches long in the z direction. The block is subjected to a triaxial loading of three resultant forces as follows: 72 kips compression in the x direction, 60 kips tension in the y direction, and 56 kips tension in the z direction. If v = 1/3 and E = 29 x 10° psi, ( a ) determine the single resultant load in the z direction that would produce the same deformation in x direction as the original loadings. (b) determine the single resultant load in the y direction that would produce the same deformation in x direction as the original loadings. * Problem # 7: 60 kips 56 kips 72 kips 2 in. 4 in. 3 in.
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