The sag developed in a bar of length ' 1 ', breath 'b' and thickness ' $\mathrm{d}$ ' when subjected to a…
The sag developed in a bar of length ' 1 ', breath 'b' and thickness ' $\mathrm{d}$ ' when subjected to a load of ' $w$ ' at center is (Y - Young's modulus of the material of the bar)
$\frac{w^2 l^2}{4 b d^2 Y}$
$\frac{w^3}{b d^2 Y}$
$\frac{w l^3}{4 b d^3 Y}$
None of the above
Solution
The sag developed in the bar when load is subjected at the centre of the bar is given by:
$S=\frac{W l^3}{4 b d^3 \lambda}$