$($a$)\frac{P^2{L}^3}{3EI}$

$($b$)\frac{2FL}{3EI}$

GATE$-1.($a$)$ A cylindrical bar has a length $L=5m$ and cross section area $S=10m^2.$ The bar is made of a linear elastic material with a density $=2700k\frac{g}{m^3}$ and Young's modulus $E=70$GPa. The bar is suspended a shown in the figure and is in a state of uniaxial tension due to its self$-$weight. The elastic strain energy stored in the bar equals $q,$ J$.($Rounded off to two decimal places$)$

Take the acceleration due to gravity as $g=9\mathrm{.}8\frac{m}{s^2}.$ GATE $2023($ME$)$