A beam of same cross section is used in two different orientations as shown in figure. Bending moment applied to the beam in both cases are same. The maximum bending stress induced in case A and B are related to

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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  1. σa = 2σb
  2. σa = σ​b
  3. σa = σb/2
  4. σa = σb​/4

Answer (Detailed Solution Below)

Option 1 : σa = 2σb
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Detailed Solution

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Concept:

From the simple bending theory equation:

If σb is the maximum bending stresses due to bending moment M on shaft:

Explanation:

For same bending moment:

So σA = 2 σB

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