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Strength of Materials

Principal Stresses and Plane

The major and...

Question

The major and minor principal stresses at a point are 3 MPa and -3 MPa respectively. The maximum shear stress at the point is

A

Zero

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B

3 MPa

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C

6 MPa

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D

9 MPa

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Solution

The correct option is B 3 MPa
Major principal stress

$σ_{1} = 3$ MPa
Minor principal stress
$σ_{3} = - 3$ MPa
Maximum shear stress
$= \frac{σ_{1} - σ_{3}}{2} = \frac{3 - (- 3)}{2} = 3$ MPa

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