Question

The principal stresses are a function of the coordinate system used to define σx, σy, τxy. a) True b) False

Answer 1

Answer:

a)True

Explanation:

Yes it is true that principle stresses are the function of σx,σy and τxy.

We know that  principle stresses  σ1,σ2 given as follows

$\sigma_1,\sigma_2=\dfrac{\sigma_x+\sigma_y}{2}\pm \sqrt{\left ( \dfrac{\sigma_x+\sigma_y}{2} \right )^2+\tau _{xy}^2}$

Where  σx ,σy are the normal stresses and τxy is shear stress.

σ1 is the maximum principle stress and σ2 is the minimum principle stress.