A cantilever beam of 4 m span carries three point loads of 1 kN, 2 kN and 2 kN at 2 m, 3 m and 4 m from the fixed end respectively. What is the bending moment at 3 m from fixed support?

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UPSC ESE (Prelims) Civil Engineering 19 Feb 2023 Official Paper
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  1. 4 kNm (Anticlockwise)
  2. 6 kNm (Clockwise)
  3. 3 kNm (Clockwise)
  4. 2 kNm (Anticlockwise)

Answer (Detailed Solution Below)

Option 4 : 2 kNm (Anticlockwise)
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ST 1: UPSC ESE (IES) Civil - Building Materials
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Detailed Solution

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Concept:

Consider a cantilever of length l carries a concentrated load 'w' at its free end:

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Taking moments about the section:

M = -Wx

The maximum bending moment occurs at the fixed end i.e. M = -WL

Calculation:

We have to find bending moment at C.

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Let, B.M be Mx clockwise at C

So, Mx + 2 × (1) = 0

       Mx = –2 

Hence, bending moment will be 2 kNm anticlockwise.

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