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Question

Physics Question on elastic moduli

In designing, a beam for its use to support a load. The depression at centre is proportional to (where, YY is Young?s modulus)

A

Y2Y^2

B

YY

C

1Y\frac{1}{Y}

D

1Y2\frac{1}{Y^2}

Answer

1Y\frac{1}{Y}

Explanation

Solution

δ=wl34Ybd3\delta=\frac{w l^{3}}{4 Y b d^{3}} or δ1Y\delta \propto \frac{1}{Y}