Question

At a certain point in a structural member, there are perpendicular stresses 80 $N/m{m}^{2}and20N/m{m}^2$, both tensile. What is the equivalent stress in simple tension, according to the maximum principal strain theory?
(Poisson's ratio = 0.25)

• A. Zero
• B. $20N/m{m}^2$
• C. $60N/m{m}^2$
• D. $75N/m{m}^2$

Answer 1

The correct option is D $75N/m{m}^2$

$Equivalentstress={\sigma }_1-\mu {\sigma }_2$
= 80 - 0.25 × 20
$=75N/m{m}^2$