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The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?
- a)Simply supported beam with concentrated load at its mid-span
- b)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-span
- c)Cantilever beam having a concentrated load at its tree end
- d)Cantilever beam having a uniformly varying load over its whole span
Correct answer is option 'A'. Can you explain this answer?
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The bending moment diagram for a beam is a triangle with its base equa...
To determine the correct answer, let's analyze the given information step by step.
1. Given: The bending moment diagram is a triangle with its base equal to the length of the beam.
From this information, we can infer that the bending moment diagram has a triangular shape, where the base of the triangle represents the length of the beam. This implies that the bending moment is zero at the supports and increases linearly towards the mid-span.
2. Option a) Simply supported beam with a concentrated load at its mid-span.
In a simply supported beam, the beam is supported at both ends and is free to rotate at those points. The bending moment is maximum at the supports and zero at the mid-span. However, the given bending moment diagram shows a linear increase in bending moment towards the mid-span. Therefore, this option does not match the given information.
3. Option b) Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-span.
In this option, the load on the beam varies uniformly from zero at the supports to maximum at the mid-span. The resulting bending moment diagram for such a load distribution would be a parabolic shape, not a triangular shape as mentioned in the given information. Therefore, this option also does not match the given information.
4. Option c) Cantilever beam having a concentrated load at its free end.
In a cantilever beam, one end is fixed, and the other end is free. The bending moment is maximum at the fixed end and zero at the free end. The given bending moment diagram does not match this behavior, as it is a triangular shape. Therefore, this option is also incorrect.
5. Option d) Cantilever beam having a uniformly varying load over its whole span.
In a cantilever beam with a uniformly varying load, the load intensity increases linearly from zero at the free end to maximum at the fixed end. The resulting bending moment diagram is a triangular shape, with the base of the triangle representing the length of the beam. This matches the given information and is the correct answer.
Therefore, the correct answer is option d) Cantilever beam having a uniformly varying load over its whole span.
1. Given: The bending moment diagram is a triangle with its base equal to the length of the beam.
From this information, we can infer that the bending moment diagram has a triangular shape, where the base of the triangle represents the length of the beam. This implies that the bending moment is zero at the supports and increases linearly towards the mid-span.
2. Option a) Simply supported beam with a concentrated load at its mid-span.
In a simply supported beam, the beam is supported at both ends and is free to rotate at those points. The bending moment is maximum at the supports and zero at the mid-span. However, the given bending moment diagram shows a linear increase in bending moment towards the mid-span. Therefore, this option does not match the given information.
3. Option b) Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-span.
In this option, the load on the beam varies uniformly from zero at the supports to maximum at the mid-span. The resulting bending moment diagram for such a load distribution would be a parabolic shape, not a triangular shape as mentioned in the given information. Therefore, this option also does not match the given information.
4. Option c) Cantilever beam having a concentrated load at its free end.
In a cantilever beam, one end is fixed, and the other end is free. The bending moment is maximum at the fixed end and zero at the free end. The given bending moment diagram does not match this behavior, as it is a triangular shape. Therefore, this option is also incorrect.
5. Option d) Cantilever beam having a uniformly varying load over its whole span.
In a cantilever beam with a uniformly varying load, the load intensity increases linearly from zero at the free end to maximum at the fixed end. The resulting bending moment diagram is a triangular shape, with the base of the triangle representing the length of the beam. This matches the given information and is the correct answer.
Therefore, the correct answer is option d) Cantilever beam having a uniformly varying load over its whole span.
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The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. Can you explain this answer?
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The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. 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 The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. 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 The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. Can you explain this answer?.
The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. 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 The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. 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 The bending moment diagram for a beam is a triangle with its base equal to length of the beam. What type of loading and beam does it represent?a)Simply supported beam with concentrated load at its mid-spanb)Simply supported beam carrying a uniformly varying load of zero intensity at the supports and maximum intensity at mid-spanc)Cantilever beam having a concentrated load at its tree endd)Cantilever beam having a uniformly varying load over its whole spanCorrect answer is option 'A'. Can you explain this answer?.
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