First slide

Elastic Modulie

Question

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

Moderate

A

Y²
B

Y
C

$\frac{1}{Y}$
D

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

Solution

We have, $δ = \frac{w l}{4 Y b d^{3}}$
where, b and d are cross-sectional dimensions.
or $δ \propto \frac{1}{Y}$

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