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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.5P: A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and...
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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 loadings.
60 kips
56 kips
72 kips
2 in.
4 in.
3 in.
Transcribed Image Text: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 loadings. 60 kips 56 kips 72 kips 2 in. 4 in. 3 in.
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