Solveeit Logo

Question

Physics Question on Stress and Strain

The linear strain in x ,y and z directions are ex,eye_x,e_y and eze_z. respectively. Then the volumetric strain is given by

A

exeyeze_xe_ye_z

B

ex+ey+eze_x+e_y+e_z

C

ez=eee_z=e\,e

D

ez=ex+ey2e_z=\frac{e_x+e_y}{2}

Answer

ex+ey+eze_x+e_y+e_z

Explanation

Solution

Given Linear strains in x,y&zx, y \& z dir N^{N} are ϵx,ϵy&ϵz.\epsilon_{x}, \epsilon_{y} \& \epsilon_{z} . To find \rightarrow volumetric strain =?=? soln we knaw that ϵv= volumetric strain  ϵv=ϵx+ϵy+ϵz\begin{array}{l} \epsilon_{v}=\text { volumetric strain } \\\ \epsilon_{v}=\epsilon_{x}+\epsilon_{y}+\epsilon_{z} \end{array}