A composite cube with 40-mm sides and the properties shown

Chapter 2, Problem 2.91

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QUESTION:

A composite cube with 40-mm sides and the properties shown is made with glass polymer fibers aligned in the x direction. The cube is constrained against deformations in the y and z directions and is subjected to a tensile load of 65 kN in the x direction. Determine (a) the change in the length of the cube in the x direction and (b) the stresses \(\sigma_{x}, \sigma_{y}, \text { and } \sigma_{z}\).

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QUESTION:

A composite cube with 40-mm sides and the properties shown is made with glass polymer fibers aligned in the x direction. The cube is constrained against deformations in the y and z directions and is subjected to a tensile load of 65 kN in the x direction. Determine (a) the change in the length of the cube in the x direction and (b) the stresses \(\sigma_{x}, \sigma_{y}, \text { and } \sigma_{z}\).

ANSWER:

Step 1 of 8

Using the given constraints in y and z directions and equation 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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