Question

Consider the following statements?
1. The maximum shear stress is one half of the normal stress in the case of uniaxial stress field.
2. In biaxial stress field, acted upon by normal stresses unaccompanied by shear stresses, the maximum shear stress is any one of the normal stresses.
3. The Mohr's stress circle will be tangential to the vertical axis in the case of uniaxial stress field.
Which of the above statements are correct?

• A. 1, 2 and 3
• B. 1 and 2 only
• C. 2 and 3 only
• D. 1 and 3 only

Answer 1

The correct option is D 1 and 3 only

In uniaxial stress field, ${\sigma }_3$ = 0

${\tau }_{max}=\frac{{\sigma }_{12}-{\sigma }_3}{2}=\frac{{\sigma }_1-0}{2}=\frac{{\sigma }_1}{2}$

In biaxial stress field,

${\tau }_{max}=\sqrt{{\left(\frac{{\sigma }_x-{\sigma }_y}{2}\right)}^2+{\tau }_{xy}^2}$