GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper

A cylindrical bar has a length 𝐿 = 5 𝑚 and cross section area 𝑆 = 10 𝑚² . The bar is made of a linear elastic material with a density ρ = 2700 kg/m³ and Young’s modulus E = 70 GPa. The bar is suspended as 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 _________ J. (Rounded off to two decimal places)
Take the acceleration due to gravity as 𝑔 = 9.8 m/s².