An overhanging beam CADEBF is shown in the figure below. Calculate the sum of the bending moment values at A and B. Ignore the sign conventions. 

F2 Savita ENG 27-12-23 D1 V2

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SSC JE (Civil) 2023 Official Paper-II (Held On: 04 Dec, 2023 Shift 1)
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  1. 13.50 kN-m  
  2. 10.00 kN-m 
  3. 12.50 kN-m 
  4. 16.78 kN-m 

Answer (Detailed Solution Below)

Option 1 : 13.50 kN-m  
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Detailed Solution

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Explanation:

Concept:

  • It is the algebraic sum of moments acting on either side of a section along the length of the beam. 

Calculation:

The bending moment at A ( from left) = 9×1.5×\( \frac{1.5}{2}\) = 10.125 kN-m

The bending moment at B (from right) = 3×1.5×\( \frac{1.5}{2}\) = 3.375 kN-m

the Thus sum of moments = 10.125 +3.375 = 13.50 kN-m

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