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In a simply supported beam of span (L + 2a) with equal overhang (a) carries a uniformly distributed load over the whole length. Bending moment changes sign if -
- a)L = 2a
- b)L < 2a
- c)L = 3a
- d)L > 2a
Correct answer is option 'D'. Can you explain this answer?
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In a simply supported beam of span (L + 2a) with equal overhang (a) ca...
The correct option is -a) L = 2a.
In a simply supported beam with equal overhang, the bending moment changes sign at the mid-span of the beam. This means that the bending moment is positive on one side of the mid-span and negative on the other side.
If we consider a uniformly distributed load over the whole length of the beam, the bending moment is maximum at the supports and decreases linearly towards the mid-span. At the mid-span, the bending moment is zero.
Since the bending moment changes sign at the mid-span, it means that the bending moment is positive on one side of the mid-span and negative on the other side. Therefore, the correct option is -a) L = 2a, which represents the situation where the beam has equal overhang (a) on both sides of the mid-span (L/2).
If the overhang on one side of the mid-span is different from the other side (i.e., L ≠ 2a), the bending moment will not change sign at the mid-span.
In a simply supported beam with equal overhang, the bending moment changes sign at the mid-span of the beam. This means that the bending moment is positive on one side of the mid-span and negative on the other side.
If we consider a uniformly distributed load over the whole length of the beam, the bending moment is maximum at the supports and decreases linearly towards the mid-span. At the mid-span, the bending moment is zero.
Since the bending moment changes sign at the mid-span, it means that the bending moment is positive on one side of the mid-span and negative on the other side. Therefore, the correct option is -a) L = 2a, which represents the situation where the beam has equal overhang (a) on both sides of the mid-span (L/2).
If the overhang on one side of the mid-span is different from the other side (i.e., L ≠ 2a), the bending moment will not change sign at the mid-span.
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In a simply supported beam of span (L + 2a) with equal overhang (a) ca...
L > 2a
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In a simply supported beam of span (L + 2a) with equal overhang (a) carries a uniformly distributed load over the whole length. Bending moment changes sign if -a)L = 2ab)L < 2ac)L = 3ad)L > 2aCorrect answer is option 'D'. Can you explain this answer?
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