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Strength of Materials

Plane of Maximum Shear Stress

For the state...

Question

For the state of stress (in MPa) shown in the figure below the maximum shear stress (in MPa) is

5

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Solution

The correct option is A 5
Radius of Mohr circle = max. shear stress
$R = \sqrt{(4 - 1)^{2} + (- 4 - 0)^{2}}$
$R = \sqrt{(4 - 1)^{2} + (4)^{2}}$
$R = 5$
$τ_{m a x} = 5$

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