The composite cube of Prob. 2.91 is constrained against

Chapter 2, Problem 2.92

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QUESTION:

The composite cube of Prob. 2.91 is constrained against deformation in the z direction and elongated in the x direction by 0.035 mm due to a tensile load in the x direction. Determine (a) the stresses \(\sigma_{x}, \sigma_{y}, \text { and } \sigma_{z}\) and (b) the change in the dimension in the y direction.

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QUESTION:

The composite cube of Prob. 2.91 is constrained against deformation in the z direction and elongated in the x direction by 0.035 mm due to a tensile load in the x direction. Determine (a) the stresses \(\sigma_{x}, \sigma_{y}, \text { and } \sigma_{z}\) and (b) the change in the dimension in the y direction.

ANSWER:

Step 1 of 6

Using the given constraints in y and z directions and equations of strains, we will first find the stresses in all three directions. Using the stresses thus found, we will find the strain in all directions and corresponding changes

Stress strain equations

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