TGPSC HMWSSB Manager 2015 Paper 2 · Question 140

Question 140 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.

1. Manager 2015 Paper 2 (Civil) · Q140 · Strength of Materials & Structural Analysis · Structural Analysis

   A fixed beam of span L carries a UDL of intensity w/unit run. If the plastic moment of the beam section is M_p, collapse occurs when ______ number of plastic hinges are formed and wL = ______.

   1. 2 and 8M_p/L
   2. 3 and 8M_p/L
   3. 3 and 16M_p/L
   4. 2 and 16M_p/L
   Show answer

   Answer: (3) 3 and 16M_p/L

   A fixed beam under UDL collapses when plastic hinges form at both supports and at mid-span, i.e. 3 hinges. The free moment wL²/8 must equal M_p (support) + M_p (mid-span) = 2M_p, so w = 16M_p/L² and wL = 16M_p/L.

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