TGPSC HMWSSB Manager 2015 Paper 2 · Question 113
Question 113 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.
A cantilever beam of span L and flexural rigidity EI carries a point load W, vertically downwards at its free end. The free end of the beam is resting at the centre of another simply supported beam of span L and flexural rigidity EI. The support reactions for the simply supported beam are ______ and ______.
- W/4, W/4
- W/2, W/2
- 8W/17, 8W/17
- 8W/3, 8W/3
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Answer: (3) 8W/17, 8W/17
Let R be the force between the beams. Equal deflection at the contact gives (W − R)L³/(3EI) = RL³/(48EI), so 16(W − R) = R and R = 16W/17. This acts at mid-span of the simply supported beam, so each reaction = R/2 = 8W/17.