A rectangular block is 6 in. long in the x – direction, 4 in. long in the y – direction, and 7 in. long in the z - direction. The block is subjected to triaxial loading consisting of the three normal forces as follows: 45 kips in tension in the x – direction, 72 kips in tension in the y – direction, and 56 kips in compression in z - direction. Use v = 0.30 and E = 29 x 10° psi. What is the deformation in the X and Z direction due to original loadings? Determine the uniformly distributed load that must be added in the x – direction that would produce twice the deformation in the y – direction as the original loadings.

A rectangular block is 6 in. long in the x – direction, 4 in. long in the y – direction, and 7 in. long in the z - direction. The block is subjected to triaxial loading consisting of the three normal forces as follows: 45 kips in tension in the x – direction, 72 kips in tension in the y – direction, and 56 kips in compression in z - direction. Use v = 0.30 and E = 29 x 10° psi. What is the deformation in the X and Z direction due to original loadings? Determine the uniformly distributed load that must be added in the x – direction that would produce twice the deformation in the y – direction as the original loadings.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A rectangular block is 6 in. long in the x – direction, 4 in. long in the y – direction, and 7 in. long in the z
- direction. The block is subjected to triaxial loading consisting of the three normal forces as follows: 45
kips in tension in the x – direction, 72 kips in tension in the y – direction, and 56 kips in compression in
z - direction. Use v = 0.30 and E = 29 x 10° psi. What is the deformation in the X and Z direction due to
original loadings? Determine the uniformly distributed load that must be added in the x – direction that
would produce twice the deformation in the y – direction as the original loadings.

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