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Q.
A beam of metal supported at the two edges is loaded at
the centre. The depression at the centre is proportional to
Mechanical Properties of Solids
Solution:
For a beam, the depression at the centre is given by, $\delta=\left(\frac{f L}{4 Y b d^3}\right)$
[$f, L, b, d$ are constants for a particular beam] i.e., $\delta \propto \frac{1}{Y}$