TGPSC HMWSSB Manager 2015 Paper 2 · Question 118
Question 118 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.
A stepped bar A-B-C of total length 2L carries an axial load P at B as shown in Fig.5. Axial rigidity of segment AB is 2AE and that of BC is AE. The displacement at B is ______.
- PL/3AE
- 0
- PL/2AE
- PL/AE
Show answer
Answer: (1) PL/3AE
Both ends are fixed, so AB and BC resist the load at B like two springs in parallel with stiffnesses 2AE/L and AE/L. Displacement at B = P/(3AE/L) = PL/3AE; AB then carries 2P/3 (tension) and BC carries P/3 (compression).