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A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio of
- a)8
- b)1/8
- c)1/2
- d)2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A cantilever beam rectangular in cross-section is subjected to an isol...
initial width, b1 = b
final width, b2 = 2b
Deflection,
But
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A cantilever beam rectangular in cross-section is subjected to an isol...
Explanation:
- A cantilever beam is a beam that is fixed at one end and free at the other end. It is commonly used in engineering applications such as bridges, buildings, and other structures.
- When an isolated load is applied at the free end of a cantilever beam, the beam deflects or bends due to the force applied. The amount of deflection depends on various factors such as the material properties of the beam, the dimensions of the beam, and the magnitude of the load applied.
- The deflection of a cantilever beam is given by the following equation: δ = (FL^3)/(3EI), where δ is the deflection, F is the load applied, L is the length of the beam, E is the Young's modulus of the material, and I is the moment of inertia of the beam cross-section.
- In the given problem, the cantilever beam is rectangular in cross-section, and its width is doubled. This means that the moment of inertia of the beam cross-section is also doubled, as I = (bh^3)/12, where b is the width and h is the height of the beam.
- Therefore, when the width of the beam is doubled, the deflection of the free end will be changed in the ratio of 1/2. This can be seen by substituting the new value of I in the deflection equation and simplifying.
- Hence, the correct answer is option C, 1/2.
- A cantilever beam is a beam that is fixed at one end and free at the other end. It is commonly used in engineering applications such as bridges, buildings, and other structures.
- When an isolated load is applied at the free end of a cantilever beam, the beam deflects or bends due to the force applied. The amount of deflection depends on various factors such as the material properties of the beam, the dimensions of the beam, and the magnitude of the load applied.
- The deflection of a cantilever beam is given by the following equation: δ = (FL^3)/(3EI), where δ is the deflection, F is the load applied, L is the length of the beam, E is the Young's modulus of the material, and I is the moment of inertia of the beam cross-section.
- In the given problem, the cantilever beam is rectangular in cross-section, and its width is doubled. This means that the moment of inertia of the beam cross-section is also doubled, as I = (bh^3)/12, where b is the width and h is the height of the beam.
- Therefore, when the width of the beam is doubled, the deflection of the free end will be changed in the ratio of 1/2. This can be seen by substituting the new value of I in the deflection equation and simplifying.
- Hence, the correct answer is option C, 1/2.
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A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer?
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A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. 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 A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. 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 A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer?.
A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. 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 A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. 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 A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer?.
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A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A cantilever beam rectangular in cross-section is subjected to an isolated load at its free end. If the width of the beam is doubled, the deflection of the free end will be changed in the ratio ofa)8b)1/8c)1/2d)2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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