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Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE? (A) A body subjected to hydrostatic pressure has no shear stress. (B) If a long solid steel rod is subjected to tensile load, then its volume increases. (C) Maximum shear stress theory is suitable for failure analysis of brittle materials. (D) If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.

1. A body subjected to hydrostatic pressure has no shear stress.
2. If a long solid steel rod is subjected to tensile load, then its volume increases.
3. Maximum shear stress theory is suitable for failure analysis of brittle materials.
4. If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.

Correct answer: A body subjected to hydrostatic pressure has no shear stress.

Solution

In a hydrostatic pressure scenario, the stress is uniformly distributed in all directions, resulting in only normal stresses and no shear stresses acting on the material. This is a fundamental characteristic of hydrostatic conditions.

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