GATE Mechanical 2021 Set 1 | Question: 31

Question

​​​​​​A right solid circular cone standing on its base on a horizontal surface is of height $\text{H}$ and base radius $\text{R}$. The cone is made of a material with specific weight $\text{w}$ and elastic modulus $\text{E}$. The vertical deflection at the mid-height of the cone due to self-weight is given by

• A. $\frac{\text{wH}^{2}}{8E}$

• A. $\frac{\text{wH}^{2}}{6E}$

100. $\frac{\text{wRH}}{8E}$

500. $\frac{\text{wRH}}{6E}$