Question

If the principal stresses at a point in a stressed body are 150 $kN/m^2$ tensile and 50 $kN/m^2$ compressive, then maximum shear stress at this point will be

• A. 100 $kN/m^2$
• B. 150 $kN/m^2$
• C. 200 $kN/m^2$
• D. 250 $kN/m^2$

Answer 1

The correct option is A 100 $kN/m^2$

Maximum shear stress,
${\tau }_{max}=\frac{{\sigma }_1-{\sigma }_2}{2}$
Given ${\sigma }_1=1500kN/m^2$
${\sigma }_2=-50kN/m^2$
${\tau }_{max}=\frac{150+50}{2}=100kN/m^2$