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If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of maximum shear stress is

1. (σ1 + σ3) / 2
2. (σ1 − σ3) / 2
3. √((σ1 + σ3) / 2)
4. √((σ1 − σ3) / 2)

Correct answer: (σ1 − σ3) / 2

Solution

The maximum shear stress in a material is determined by the difference between the largest and smallest principal stresses, divided by two. This relationship arises from the definition of shear stress in relation to normal stresses, making option B the correct choice.

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