When a body is subjected to a direct tensile stress `sigma_x`) in one plane accompanied by a simple shear stress (`tau_(xy`) the maximum shear stress is Options: A . &nbsp`(sigma x)/(2) + 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)` B . &nbsp`(sigma x)/(2) - 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)` C . &nbsp`(sigma x)/(2) + 1/2 sqrt(sigma_x^2 - 4 tau_(xy)^2)` D . &nbsp` 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)`

When a body is subject

Question

When a body is subjected to a direct tensile stress `sigma_x`) in one plane accompanied by a simple shear stress (`tau_(xy`) the maximum shear stress is

Options:

A . `(sigma x)/(2) + 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)`

B . `(sigma x)/(2) - 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)`

C . `(sigma x)/(2) + 1/2 sqrt(sigma_x^2 - 4 tau_(xy)^2)`

D . ` 1/2 sqrt(sigma_x^2 + 4 tau_(xy)^2)`

Answer: Option D

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