TGPSC HMWSSB Manager 2015 Paper 2 · Question 141
Question 141 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 carries a point load W at its free end. Plastic moment of the section from support to middle of span is 1.5 M_p and from there to free end is M_p. Collapse occurs when W = ______.
- 1.5M_p/L
- M_p/L
- 2M_p/L
- 0.75M_p/L
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Answer: (1) 1.5M_p/L
The moment is WL at the support (capacity 1.5M_p) and WL/2 at mid-span (capacity M_p). A hinge forms at the support when W = 1.5M_p/L, before mid-span reaches its capacity (which would need W = 2M_p/L), so the collapse load is W = 1.5M_p/L.