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: 70 kips compression in the x direction, 55 kips tension in the y direction, and 48 kips tension in the z direction. If v = 1/3 and E = 29 x 106 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 z direction as the original loadings, and (c) determine the single resultant load in the x direction that would produce the same deformation in y direction as the original loadings. Y 55 kips 70 kips 48 kips 3 in. 2 in. x
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: 70 kips compression in the x direction, 55 kips tension in the y direction, and 48 kips tension in the z direction. If v = 1/3 and E = 29 x 106 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 z direction as the original loadings, and (c) determine the single resultant load in the x direction that would produce the same deformation in y direction as the original loadings. Y 55 kips 70 kips 48 kips 3 in. 2 in. x
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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: 70
kips compression in the x direction, 55 kips tension in the y direction, and 48 kips tension in the z direction. If v
= 1/3 and E = 29 x 106 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 z direction as the original loadings, and (c) determine the single
resultant load in the x direction that would produce the same deformation in y direction as the original loadings.
55 kips
48 kips
70 kips
3 in.
2 in.
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