Question

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

Answer 1

a)True

Step-by-step 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=(\sigma_x+\sigma_y)/(2)\pm \sqrt{\left ( (\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.