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What is the bending moment at end supports of a simply supported beam?
- a)Maximum
- b)Minimum
- c)Zero
- d)Uniform
Correct answer is option 'C'. Can you explain this answer?
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What is the bending moment at end supports of a simply supported beam?...
Understanding Bending Moment in Simply Supported Beams
In structural engineering, the bending moment at the supports of a simply supported beam is a critical concept.
Definition of Simply Supported Beam
- A simply supported beam rests on supports at both ends and is free to rotate.
- It is subjected to loads in its span, causing bending moments and shear forces.
Bending Moment at Supports
- For a simply supported beam, the bending moment is determined by the applied loads and the support reactions.
- At the supports, the beam can rotate freely, meaning there is no resistance to bending.
Why is the Bending Moment Zero?
- The bending moment is zero at the supports due to the nature of the support conditions.
- Supports can either be pinned or roller, allowing rotation without developing any internal moment.
Key Points
- End Supports: The bending moment is zero at both ends.
- Internal Forces: As you move away from the supports towards the center of the beam, the moment increases, reaching a maximum at the midpoint (for uniformly distributed loads).
- Significance in Design: Knowing that the bending moment is zero at the supports helps engineers design connections and supports effectively.
Conclusion
In summary, the bending moment at the end supports of a simply supported beam is zero due to the free rotation allowed by the support conditions, making option 'C' the correct answer.
In structural engineering, the bending moment at the supports of a simply supported beam is a critical concept.
Definition of Simply Supported Beam
- A simply supported beam rests on supports at both ends and is free to rotate.
- It is subjected to loads in its span, causing bending moments and shear forces.
Bending Moment at Supports
- For a simply supported beam, the bending moment is determined by the applied loads and the support reactions.
- At the supports, the beam can rotate freely, meaning there is no resistance to bending.
Why is the Bending Moment Zero?
- The bending moment is zero at the supports due to the nature of the support conditions.
- Supports can either be pinned or roller, allowing rotation without developing any internal moment.
Key Points
- End Supports: The bending moment is zero at both ends.
- Internal Forces: As you move away from the supports towards the center of the beam, the moment increases, reaching a maximum at the midpoint (for uniformly distributed loads).
- Significance in Design: Knowing that the bending moment is zero at the supports helps engineers design connections and supports effectively.
Conclusion
In summary, the bending moment at the end supports of a simply supported beam is zero due to the free rotation allowed by the support conditions, making option 'C' the correct answer.
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Community Answer
What is the bending moment at end supports of a simply supported beam?...
At the end supports, the moment (couple) developed is zero, because there is no distance to take the perpendicular acting load. As the distance is zero, the moment is obviously zero.
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What is the bending moment at end supports of a simply supported beam?a)Maximumb)Minimumc)Zerod)UniformCorrect answer is option 'C'. Can you explain this answer?
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