Section: Solid Mechanics | Marks: 2
A cantilever beam is subjected to following three different loading conditions: (a) a concentrated load P at its free end, (b) a couple Mo at its free end and (c) both loads acting simultaneously (a) (b) (c) The flexural rigidity of the beam may be assumed as EI. The strain energy due to bending when both loads act simultaneously
- A. can be determined by applying the principle of superposition and the strain energy is ππ2πΏπΏ3 6πΈπΈπΈπΈ+ ππππ2πΏπΏ 2πΈπΈπΈπΈ
- B. can be determined by applying the principle of superposition and the strain energy is ππ2πΏπΏ2 6πΈπΈπΈπΈ+ πππππΏπΏ3 2πΈπΈπΈπΈ
- C. cannot be determined by applying the principle of superposition and the strain energy is ππ2πΏπΏ3 6πΈπΈπΈπΈ+ ππππ2πΏπΏ 2πΈπΈπΈπΈ+ ππππππ πΏπΏ2 2πΈπΈπΈπΈ
- D. cannot be determined by applying the principle of superposition and the strain energy is ππ2πΏπΏ2 6πΈπΈπΈπΈ+ πππππΏπΏ3 2πΈπΈπΈπΈ+ ππππππ πΏπΏ2 2πΈπΈπΈπΈ P L P L Mo L Mo L P XE (GATE 2014)
Answer: C. cannot be determined by applying the principle of superposition and the strain energy is ππ2πΏπΏ3 6πΈπΈπΈπΈ+ ππππ2πΏπΏ 2πΈπΈπΈπΈ+ ππππππ πΏπΏ2 2πΈπΈπΈπΈ