Topic: Strength of Materials
A solid metal bar of uniform diameter D and length L is hung vertically. If rho is density and E is the Young's Modulus, then the total elongation due to self weight is
- A. rho*L*g/2E
- B. rho*L²*g/2E
- C. rho*E*g/2L^2
- D. rho*L²*g/E
Answer: B. rho*L²*g/2E
Explanation: The elongation due to self-weight for a uniform bar hung vertically is delta = (rho * g * L²) / (2E).