If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)

\(\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}\)

\(\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}\)

\(\sqrt {\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}} \)

If σ1 and σ3 are the algebraically largest and smallest principal st

1.	If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is
A.	\(\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}\)
B.	\(\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}\)
C.	\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)
D.	\(\sqrt {\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}} \)
Answer» C. \(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)