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If the actual beam has both ends fixed, then the ends of the conjugate beam will be
- a)Fixed at both ends
- b)Free at both ends
- c)Fixed at one end, free at other end
- d)Hinged at one end, free at other end
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the actual beam has both ends fixed, then the ends of the conjugat...
Explanation:
When a beam is fixed at both ends, it means that the beam is restrained from both translation and rotation at those points. In other words, the supports at the ends provide both vertical and horizontal reactions, as well as moments to resist any applied loads.
The conjugate beam is a mathematical tool used in structural analysis to determine the deflection and slope of a beam. It is derived from the original beam by following a set of rules:
1. The length of the conjugate beam is the same as the original beam.
2. The supports of the conjugate beam are located at the same positions as the original beam.
3. The reactions at the supports of the conjugate beam are equal to the slopes of the original beam at those points.
4. The loads on the conjugate beam are equal to the bending moments of the original beam divided by the length of the beam.
In this case, the actual beam has both ends fixed:
When a beam has both ends fixed, it means that the ends are restrained from translation and rotation. The supports at the ends provide both vertical and horizontal reactions, as well as moments to resist any applied loads.
Conjugate beam for a beam with both ends fixed:
When we apply the rules of the conjugate beam, we find that the ends of the conjugate beam will be free at both ends. This means that the supports of the conjugate beam will not provide any reactions or moments. The conjugate beam will be free to translate and rotate at both ends.
Reasoning:
The fixed support at the ends of the actual beam provides both vertical and horizontal reactions, as well as moments to resist any applied loads. However, when we convert the actual beam to its conjugate beam, the supports of the conjugate beam do not provide any reactions or moments. This is because the conjugate beam is a mathematical tool used to determine the deflection and slope of the original beam, and it does not represent the actual physical supports of the beam.
Therefore, the ends of the conjugate beam will be free at both ends (option B).
When a beam is fixed at both ends, it means that the beam is restrained from both translation and rotation at those points. In other words, the supports at the ends provide both vertical and horizontal reactions, as well as moments to resist any applied loads.
The conjugate beam is a mathematical tool used in structural analysis to determine the deflection and slope of a beam. It is derived from the original beam by following a set of rules:
1. The length of the conjugate beam is the same as the original beam.
2. The supports of the conjugate beam are located at the same positions as the original beam.
3. The reactions at the supports of the conjugate beam are equal to the slopes of the original beam at those points.
4. The loads on the conjugate beam are equal to the bending moments of the original beam divided by the length of the beam.
In this case, the actual beam has both ends fixed:
When a beam has both ends fixed, it means that the ends are restrained from translation and rotation. The supports at the ends provide both vertical and horizontal reactions, as well as moments to resist any applied loads.
Conjugate beam for a beam with both ends fixed:
When we apply the rules of the conjugate beam, we find that the ends of the conjugate beam will be free at both ends. This means that the supports of the conjugate beam will not provide any reactions or moments. The conjugate beam will be free to translate and rotate at both ends.
Reasoning:
The fixed support at the ends of the actual beam provides both vertical and horizontal reactions, as well as moments to resist any applied loads. However, when we convert the actual beam to its conjugate beam, the supports of the conjugate beam do not provide any reactions or moments. This is because the conjugate beam is a mathematical tool used to determine the deflection and slope of the original beam, and it does not represent the actual physical supports of the beam.
Therefore, the ends of the conjugate beam will be free at both ends (option B).
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If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer?
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If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer?.
If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the actual beam has both ends fixed, then the ends of the conjugate beam will bea) Fixed at both endsb) Free at both endsc) Fixed at one end, free at other endd) Hinged at one end, free at other endCorrect answer is option 'B'. Can you explain this answer?.
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