A body is subjected to a direct stress 'σ' in one plane accompanied by a simple shear stress 'τ', the maximum normal stress is

\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)

\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)

\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)

A body is subjected to a direct stress 'σ' in one plane accompanied b

1.	A body is subjected to a direct stress 'σ' in one plane accompanied by a simple shear stress 'τ', the maximum normal stress is
A.	\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)
B.	\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)
C.	\(\frac{\sigma }{2} + \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)
D.	\(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} - 4{\tau ^2}} \)
Answer» B. \(\frac{\sigma }{2} - \frac{1}{2}\sqrt {{\sigma ^2} + 4{\tau ^2}} \)