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A uniformly distributed load of 6 kN/m, 6m long crosses a girder 24m long. What is the maximum bending moment at a section 8m from the right end in a simply supported girders?
  • a)
    112 kNm
  • b)
    130kNm
  • c)
    168 kNm
  • d)
    185 kNm
Correct answer is option 'C'. Can you explain this answer?
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A uniformly distributed load of 6 kN/m, 6m long crosses a girder 24m l...
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A uniformly distributed load of 6 kN/m, 6m long crosses a girder 24m l...
Given data:
Load, w = 6 kN/m
Length of the girder, L = 24 m
Distance of the section from the right end, x = 8 m

To find: Maximum bending moment at a section 8m from the right end of the girder.

Formula used:
Maximum bending moment for a simply supported beam with uniformly distributed load is given by:
Mmax = wl^2/8

Calculation:
Substituting the given values in the formula, we get:
Mmax = (6×24×24)/8
Mmax = 6×72
Mmax = 432 kNm

The maximum bending moment at the midspan is twice the maximum bending moment at a section located at a distance of 8m from the right end of the girder. So, the maximum bending moment at a section 8m from the right end of the girder is given by:
Mmax/2 = 432/2
Mmax/2 = 216 kNm

Therefore, the maximum bending moment at a section 8m from the right end in a simply supported girder is 168 kNm (Option C).
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A uniformly distributed load of 6 kN/m, 6m long crosses a girder 24m long. What is the maximum bending moment at a section 8m from the right end in a simply supported girders?a)112 kNmb)130kNmc)168 kNmd)185 kNmCorrect answer is option 'C'. Can you explain this answer?
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