Question
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?
Options :
A body subjected to hydrostatic pressure has no shear stress
If a long solid steel rod is subjected to tensile load, then its volume increases
Maximum shear stress theory is suitable for failure analysis of brittle materials
If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight
Answer :
If a long solid steel rod is subjected to tensile load, then its volume increases
,A body subjected to hydrostatic pressure has no shear stress
Solution :
In hydrostatic condition shear stress on all planes are equal to zero. All planes are principal planes. Under hydrostatic loading condition ductile material may behave as brittle.
Under uniaxial loading application of tensile stress will lead to volume increase and application of compressive stress will lead to volume decrease.
For biaxial or triaxial loading volume will increase if ox + σy + oz>0 most suitable theory of failure for brittle material = Maximum principal stress theory, Most suitable theory of failure for ductile material = Maximum distortion energy theory.
If shear force is zero in certain portion of beam, bending moment will be constant in that portion i.e., beam will be circular or straight in that portion.
Copyright © 2025 Test Academy All Rights Reserved