A beam of metal supported at the two edges is loaded at the centre. The depression at the centre is proportional to

 

For a beam, the depression at the centre is given by, $\delta =\left(\frac{fL}{4Yb{d}^3}\right)$

[f, L, b, d are constants for a particular beam]

i.e.$\mathrm{\delta }\propto \frac{1}{\mathrm{Y}}$