Mechanical Engineering Exam > Mechanical Engineering Questions > If section modulus of a beam is increased, th...
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If section modulus of a beam is increased, the bending stress in the beam will:
- a)Not change
- b)Increase
- c)Decrease
- d)Become zero
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If section modulus of a beam is increased, the bending stress in the b...
Bending Moment Equation
For the constant bending moment: σ ∝ 1/Z
So, bending stress is inversely proportional to the Section Modulus 'YH
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Community Answer
If section modulus of a beam is increased, the bending stress in the b...
Explanation:
Section modulus is a measure of a beam's ability to resist bending forces. It is directly proportional to the moment of inertia and inversely proportional to the distance from the neutral axis. When the section modulus of a beam is increased, it means that the beam's cross-sectional area has been increased or the distance from the neutral axis has been decreased. This change in the section modulus has a direct effect on the bending stress in the beam.
Effect of Increased Section Modulus on Bending Stress:
Conclusion:
In conclusion, increasing the section modulus of a beam will decrease the bending stress in the beam. This is because an increase in section modulus means an increase in moment of inertia and a decrease in the distance from the neutral axis, which results in a decrease in bending stress.
Section modulus is a measure of a beam's ability to resist bending forces. It is directly proportional to the moment of inertia and inversely proportional to the distance from the neutral axis. When the section modulus of a beam is increased, it means that the beam's cross-sectional area has been increased or the distance from the neutral axis has been decreased. This change in the section modulus has a direct effect on the bending stress in the beam.
Effect of Increased Section Modulus on Bending Stress:
- Bending Stress: Bending stress is the stress that is induced in a beam due to a bending moment. It is given by the formula σ = (M*y)/I, where σ is the bending stress, M is the bending moment, y is the distance from the neutral axis, and I is the moment of inertia.
- Increased Section Modulus: When the section modulus of a beam is increased, the moment of inertia is increased, and the distance from the neutral axis is decreased. This means that the beam is better able to resist bending forces and is less likely to undergo plastic deformation.
- Decreased Bending Stress: The decrease in the distance from the neutral axis means that the value of y in the bending stress formula is smaller. This, in turn, means that the bending stress is decreased. Therefore, when the section modulus of a beam is increased, the bending stress in the beam will decrease.
Conclusion:
In conclusion, increasing the section modulus of a beam will decrease the bending stress in the beam. This is because an increase in section modulus means an increase in moment of inertia and a decrease in the distance from the neutral axis, which results in a decrease in bending stress.
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If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer?.
If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If section modulus of a beam is increased, the bending stress in the beam will:a)Not changeb)Increasec)Decreased)Become zeroCorrect answer is option 'C'. Can you explain this answer?.
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