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

1
\(\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}\)
2
\(\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}\)
3
\(\sqrt {\frac{{{{\rm{\sigma }}_1} + {{\rm{\sigma }}_3}}}{2}}\)
4
\(\sqrt {\frac{{{{\rm{\sigma }}_1} - {{\rm{\sigma }}_3}}}{2}} \)

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