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A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will be
- a)parabola with maximum ordinate at the centre of the beam
- b)parabola with maximum ordinate at one end of the beam
- c)triangle with maximum ordinate at the centre of the beam
- d)triangle with maximum ordinate at one end of the beam
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A simply supported beam of span (l) carries a point load (W) at the c...
It may be observed that at the point of application of load, there is an abrupt change in the shear force; at this point, the B.M is maximum.
The bending moment diagram will be a triangle with maximum ordinate at the centre of the beam.
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A simply supported beam of span (l) carries a point load (W) at the c...
Bending Moment Diagram for Simply Supported Beam with Central Load
The bending moment diagram for a simply supported beam with a central load can be determined using the following steps:
1. Determine the reactions at the supports:
- Since the beam is simply supported, the reactions at the supports will be equal and opposite.
- The reaction at each support will be half of the load, i.e., R = W/2.
2. Determine the bending moment at any point along the beam:
- The bending moment at any point along the beam can be determined using the equation M = R(x - L/2), where M is the bending moment, R is the reaction at the support, x is the distance from the support to the point of interest, and L is the span of the beam.
- For a point load at the centre of the beam, the maximum bending moment will occur at the centre of the beam where x = L/2. Therefore, the maximum bending moment will be Mmax = RW/4.
3. Draw the bending moment diagram:
- The bending moment diagram will be a triangle with the maximum ordinate at the centre of the beam.
- The ordinate at any point along the beam can be determined using the equation M = R(x - L/2).
- The bending moment at the supports will be zero since the bending moment is zero at the ends of a simply supported beam.
- The bending moment diagram will be symmetric about the centre of the beam since the load is symmetric.
Therefore, the correct answer is option C - triangle with maximum ordinate at the centre of the beam.
The bending moment diagram for a simply supported beam with a central load can be determined using the following steps:
1. Determine the reactions at the supports:
- Since the beam is simply supported, the reactions at the supports will be equal and opposite.
- The reaction at each support will be half of the load, i.e., R = W/2.
2. Determine the bending moment at any point along the beam:
- The bending moment at any point along the beam can be determined using the equation M = R(x - L/2), where M is the bending moment, R is the reaction at the support, x is the distance from the support to the point of interest, and L is the span of the beam.
- For a point load at the centre of the beam, the maximum bending moment will occur at the centre of the beam where x = L/2. Therefore, the maximum bending moment will be Mmax = RW/4.
3. Draw the bending moment diagram:
- The bending moment diagram will be a triangle with the maximum ordinate at the centre of the beam.
- The ordinate at any point along the beam can be determined using the equation M = R(x - L/2).
- The bending moment at the supports will be zero since the bending moment is zero at the ends of a simply supported beam.
- The bending moment diagram will be symmetric about the centre of the beam since the load is symmetric.
Therefore, the correct answer is option C - triangle with maximum ordinate at the centre of the beam.
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A simply supported beam of span (l) carries a point load (W) at the c...
It may be observed that at the point of application of load, there is an abrupt change in the shear force; at this point, the B.M is maximum.
The bending moment diagram will be a triangle with maximum ordinate at the centre of the beam.
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A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer?
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A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer?.
A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam of span (l) carries a point load (W) at the centre of the beam. The bending moment diagram will bea)parabola with maximum ordinate at the centre of the beamb)parabola with maximum ordinate at one end of the beamc)triangle with maximum ordinate at the centre of the beamd)triangle with maximum ordinate at one end of the beamCorrect answer is option 'C'. Can you explain this answer?.
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