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The bending moment diagram for a simply supported beam is a rectangle over a larger portion of the span except near the supports. What type of load does the beam carry?
- a)A uniformly distributed symmetrical load over a larger portion of the span except near the supports
- b)A concentrated load at mid-span
- c)Two identical concentrated loads equidistant from the supports and close to mid-point of the beam
- d)Two identical concentrated loads equidistant from the mid-span and close to supports
Correct answer is option 'D'. Can you explain this answer?
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The bending moment diagram for a simply supported beam is a rectangle ...
Explanation:
The given bending moment diagram for a simply supported beam is a rectangle over a larger portion of the span except near the supports. This means that the bending moment is constant over a larger portion of the span and changes abruptly near the supports. Based on this information, we need to identify the type of load that the beam carries.
Identifying the type of load:
Option A: A uniformly distributed symmetrical load over a larger portion of the span except near the supports.
If the load on the beam were a uniformly distributed symmetrical load, then the bending moment diagram would be parabolic in shape. This is because the bending moment is maximum at the center of the span and decreases towards the supports. Therefore, option A is not correct.
Option B: A concentrated load at mid-span.
If the load on the beam were a concentrated load at mid-span, then the bending moment diagram would be triangular in shape. This is because the bending moment is zero at the supports and increases linearly towards the center of the span. Therefore, option B is not correct.
Option C: Two identical concentrated loads equidistant from the supports and close to mid-point of the beam.
If the load on the beam were two identical concentrated loads equidistant from the supports and close to the mid-point of the beam, then the bending moment diagram would have two triangular shapes. This is because the bending moment is zero at the supports, increases linearly towards the center of the span, reaches a maximum at the center of the span, and then decreases linearly towards the supports. Therefore, option C is not correct.
Option D: Two identical concentrated loads equidistant from the mid-span and close to supports.
If the load on the beam were two identical concentrated loads equidistant from the mid-span and close to the supports, then the bending moment diagram would be a rectangle over a larger portion of the span except near the supports. This is because the bending moment is constant over a larger portion of the span and changes abruptly near the supports. Therefore, option D is correct.
Conclusion:
Based on the given information, we can conclude that the beam carries two identical concentrated loads equidistant from the mid-span and close to the supports.
The given bending moment diagram for a simply supported beam is a rectangle over a larger portion of the span except near the supports. This means that the bending moment is constant over a larger portion of the span and changes abruptly near the supports. Based on this information, we need to identify the type of load that the beam carries.
Identifying the type of load:
Option A: A uniformly distributed symmetrical load over a larger portion of the span except near the supports.
If the load on the beam were a uniformly distributed symmetrical load, then the bending moment diagram would be parabolic in shape. This is because the bending moment is maximum at the center of the span and decreases towards the supports. Therefore, option A is not correct.
Option B: A concentrated load at mid-span.
If the load on the beam were a concentrated load at mid-span, then the bending moment diagram would be triangular in shape. This is because the bending moment is zero at the supports and increases linearly towards the center of the span. Therefore, option B is not correct.
Option C: Two identical concentrated loads equidistant from the supports and close to mid-point of the beam.
If the load on the beam were two identical concentrated loads equidistant from the supports and close to the mid-point of the beam, then the bending moment diagram would have two triangular shapes. This is because the bending moment is zero at the supports, increases linearly towards the center of the span, reaches a maximum at the center of the span, and then decreases linearly towards the supports. Therefore, option C is not correct.
Option D: Two identical concentrated loads equidistant from the mid-span and close to supports.
If the load on the beam were two identical concentrated loads equidistant from the mid-span and close to the supports, then the bending moment diagram would be a rectangle over a larger portion of the span except near the supports. This is because the bending moment is constant over a larger portion of the span and changes abruptly near the supports. Therefore, option D is correct.
Conclusion:
Based on the given information, we can conclude that the beam carries two identical concentrated loads equidistant from the mid-span and close to the supports.
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The bending moment diagram for a simply supported beam is a rectangle over a larger portion of the span except near the supports. What type of load does the beam carry?a)A uniformly distributed symmetrical load over a larger portion of the span except near the supportsb)A concentrated load at mid-spanc)Two identical concentrated loads equidistant from the supports and close to mid-point of the beamd)Two identical concentrated loads equidistant from the mid-span and close to supportsCorrect answer is option 'D'. Can you explain this answer?
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