Question

At a point in a structure, there are two mutually perpendicular tensile stresses of 800 N/cm² and 400 N/cm². If the Poisson's ratio is 0.25, what would be the equivalent stress in simple tension according to maximum principal strain theory?

• A. 1200 N/cm²
• B. 400 N/cm²
• C. 900 N/cm²
• D. 700N/cm²

Answer 1

Answer:

D. 700N/cm²

Given: $\sigma_{1} = 800N / c m ^ 2$ $\sigma_{2} = 400N / c m ^ 2$ $\mu = 0.25$ $\sigma_{1} - \mu \sigma_{2} \le ( \sigma_y ) \Rightarrow 800-0.25\times 400= \sigma_{equivalent} =700 N / c m ^ 2$