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Shear Stress

An element is...

Question

An element is subjected to stress as given below

For this state of stress, what is the maximum shear stress?

A

2.5 MPa

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B

5 MPa

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C

10 MPa

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D

15 MPa

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Solution

The correct option is B 5 MPa
The magnitude of maximum shear stress is given by
$τ_{max} = \frac{σ_{1} - σ_{2}}{2} = \frac{20 - 10}{2} = 5 M P a$

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