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Strength of Materials

Plane of Maximum Shear Stress

If principal ...

Question

If principal stresses in a two dimensional case are - 10 MPa and 20 MPa respectively, then maximum shear stress at the point is

A

10 MPa

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B

15 MPa

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C

20 MPa

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D

30 MPa

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Solution

The correct option is B 15 MPa
Principal stress

$σ_{1} = 20 M P a$ ; $σ_{3} = - 10 M P a$
Maximum shear stress
$τ = \frac{σ_{1} - σ_{3}}{2} = \frac{20 - (- 10)}{2} = 15 M P a$

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