Project ForgeStrength of Materials
Bending of Beams
GATE 2023
Easy
The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W is
- 3EI/L³
- B2EI/L³
- CL³/2EI
- DL³/3EI
Explanation
For a cantilever with a transverse tip load W, the tip deflection is δ=WL³/(3EI). Stiffness k=W/δ=3EI/L³.
Source: GATE ME 2023 Official Paper (2023)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.