GATE Mechanical 2023 | Question: 6

Question

The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is

• A. $\frac{3 E I}{L^{3}}$
• B. $\frac{2 E I}{L^{3}}$
• C. $\frac{L^{3}}{2 E I}$
• D. $\frac{L^{3}}{3 E I}$

Answer 1

option a will be correct because stiffness is given by K=W/del

K=3EI/cubic L