A single-rolling load of 8kN rolls along a girder of 15 m span. The absolute maximum bending moment will be

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BPSC AE Paper 5 (Civil) 25 March 2022 Official Paper
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  1. 60 kN-m
  2. 40 kN-m
  3. 20 kN-m
  4. 30 kN-m

Answer (Detailed Solution Below)

Option 4 : 30 kN-m
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Detailed Solution

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Concepts:

In case of a simply supported beam subjected to a concentrated moving load:

  • The maximum bending moment occurs when the load is applied at mid-span and it will occur at mid-span itself.
  • The maximum shear force will occur when the load is applied at any one of the support and it will occur near the support itself.

Calculation:

Given data,

P = 8 kN

L = 15 m

For maximum bending moment load is applied at mid span 

ILD 1

 Mmax = PL/4 = (8 × 15)/4 = 30 kN-m

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