Question

A thin rod of 10 mm diameter is subjected to a tensile force for 7850 N. What are the principal sresses and maximum shear stress?

• A. 700 MPa, 50 MPa, 10 MPa
• B. 100 MPa, zero, 50 MPa
• C. 100 MPa, 50 MPa, 25 MPa
• D. 100 MPa, zero, zero

Answer 1

The correct option is B 100 MPa, zero, 50 MPa

$Majorprincipalstress=\frac{7850\times 4}{\frac{\pi \times {10}^2}{4}}=100MPa$
Minor principal stress = 0
$Maximumshearstress=\frac{100-0}{2}=50MPa.$