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A simply supported beam of span 5m, is subjected to point load of 10kN at 2m from left support. Maximum bending moment and its distance from left support is-
  • a)
    12 kN-m and 2m
  • b)
    10 kN-m and 3m
  • c)
    12 kN-m and 2.5 m
  • d)
    20 kN-m and 3m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A simply supported beam of span 5m, is subjected to point load of 10kN...
Maximum bending moment will occur at the location of the point load, that is, 2m from the left support.
W = 10 kN
a = 2m, b = 3m, l = 5m
Maximum bending moment = Wab/l = 10 x 2 x 3/ 5 = 12 kN-m
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Community Answer
A simply supported beam of span 5m, is subjected to point load of 10kN...
To find the maximum bending moment and its distance from the left support, we can use the equation for bending moment at any point on a simply supported beam subjected to a point load.

Let's break down the problem step by step:

1. Given data:
- Span of the beam = 5m
- Point load = 10kN
- Distance of the point load from the left support = 2m

2. Calculation of the reaction forces:
Since the beam is simply supported, the reaction forces at the supports will be equal. Let's denote the reaction force at each support as R.
- Since the beam is in equilibrium, the sum of the vertical forces is zero.
- R + R - 10kN = 0
- 2R = 10kN
- R = 5kN

3. Calculation of the bending moment:
- The bending moment at any point on a simply supported beam subjected to a point load is given by the equation:
M = R * (L - x)
where M is the bending moment, R is the reaction force, L is the span of the beam, and x is the distance of the point load from the left support.
- Plugging in the values, we get:
M = 5kN * (5m - 2m)
M = 5kN * 3m
M = 15kN-m

4. Conclusion:
- The maximum bending moment is 15kN-m.
- The distance of the maximum bending moment from the left support is 3m.

Therefore, the correct answer is option 'A': 12 kN-m and 2m.
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A simply supported beam of span 5m, is subjected to point load of 10kN at 2m from left support. Maximum bending moment and its distance from left support is-a)12 kN-m and 2mb)10 kN-m and 3mc)12 kN-m and 2.5 md)20 kN-m and 3mCorrect answer is option 'A'. Can you explain this answer?
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