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 ν = 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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 ν = 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.

70 kips
4 in.
55 kips
C
B
48 kips
3 in.
2 in.
Transcribed Image Text:70 kips 4 in. 55 kips C B 48 kips 3 in. 2 in.
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