Question

If the maximum principal stress for an element under bi-axial stress situation is 100 MPa (tensile) and the maximum shear stress is also 100 MPa, then what is the other principal stress?

• A. 200 MPa (tensile)
• B. 200 MPa (compressive)
• C. 100 MPa (compressive)
• D. zero

Answer 1

The correct option is C 100 MPa (compressive)

If the other principal stress is tensile
$\frac{p_1-100}{2}=100$
$\therefore$ $p_1=300N/m{m}^2$
If the other principal stress is compressive
$\frac{p+100}{2}=100$
$p=100N/m{m}^2$