Question

The relation between the shear stress component in xz-plane in Cartesian coordinates and polar coordinates for vertical line load is ___________

(a) τxz=σr  tan^2⁡θ

(b) τxz=σr  cosec^2⁡θ

(c) τxz=σr  sinθcos⁡θ

(d) τxz=σr  sin^2⁡θ

The question was posed to me during an interview.

This key question is from Stress Distribution topic in section Stress Distribution of Geotechnical Engineering I

Answer 1

The correct option is (c) τxz=σr  sinθcos⁡θ

Best explanation: From the figure,

On xz-plane , the relation between the shear stress component in Cartesian coordinates and polar coordinates is,

 τxz=σr  sinθcos⁡θ.