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Strength of Materials

Principal Strains and Maximum Shear Strain

If p1 and p2 ...

Question

If $p_{1} a n d p_{2}$ are the principal stress at a point in a strained material with Young's modulus E and Poisson's ratio 1/m, then the principal strain is?

A

\frac{p_{1} + p_{2}}{m E}

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B

\frac{p_{1} - p_{2}}{m E}

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C

\frac{p_{1}}{E} - \frac{p_{2}}{m E}

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D

\frac{p_{1}}{m} - \frac{p_{2}}{m E}

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Solution

The correct option is C $\frac{p_{1}}{E} - \frac{p_{2}}{m E}$
$P r i n c i p a l s t r a i n = \frac{p_{1}}{E} - \frac{p_{2}}{m E}$

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