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In a simply supported beam subjected to uniformly distributed load throughout the length, at which points is the stress due to (i) flexure and (ii) shear equal to zero selectively?
1. At the support section and neutral fibre
2. At mid-span section and neutral fibre
3. At mid-span section and top fibre
4. At support section and bottom fibre
  • a)
    1 only
  • b)
    1 and 2
  • c)
    2 and 3
  • d)
    2 and 4
Correct answer is option 'B'. Can you explain this answer?
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In a simply supported beam subjected to uniformly distributed load th...
Answer:

Points where stress due to flexure and shear are zero in a simply supported beam subjected to uniformly distributed load throughout the length are as follows:

i) At the support section and neutral fibre
ii) At mid-span section and neutral fibre

Explanation:

Flexural stress is the stress caused by bending moments in a beam, while shear stress is the stress caused by shear forces in a beam. In a simply supported beam subjected to uniformly distributed load throughout the length, the bending moment is maximum at mid-span and zero at the support sections. Similarly, the shear force is maximum at the support sections and zero at mid-span.

Therefore, the points where stress due to flexure and shear are zero are as follows:

(i) At the support section and neutral fibre: At the support sections, the bending moment is zero, and hence, the stress due to flexure is also zero. Moreover, at the neutral fibre, the distance of any point from the neutral axis is zero, and hence, the stress due to flexure is also zero.

(ii) At mid-span section and neutral fibre: At mid-span, the shear force is zero, and hence, the stress due to shear is also zero. Moreover, at the neutral fibre, the distance of any point from the neutral axis is zero, and hence, the stress due to flexure is also zero.

Therefore, the correct option is (B) 1 and 2.
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In a simply supported beam subjected to uniformly distributed load th...
Bending stress or flexure stress is given by f = My/l. It means that flexure stress is zero at neutral fibre (y = 0) for any magnitude of bending moment. Shear stress is zero at a section where shear force is zero. At the top and bottom fibres also, shear stress is zero for any magnitude of shear force. As seen from the diagrams, flexure and shear are both zero at mid-span and support sections.
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In a simply supported beam subjected to uniformly distributed load throughout the length, at which points is the stress due to (i) flexure and (ii) shear equal to zero selectively?1. At the support section and neutral fibre2. At mid-span section and neutral fibre3. At mid-span section and top fibre4. At support section and bottom fibrea)1 onlyb)1 and 2c)2 and 3d)2 and 4Correct answer is option 'B'. Can you explain this answer?
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