Question

The shear stress τxz in terms of stress function is given by __________

(a) \(\frac{∂Φ}{∂z}-γx\)

(b) \(-\frac{∂^2Φ}{∂x∂z}-γx\)

(c) \(\frac{∂^2Φ}{∂x^2} -γx\)

(d) \(\frac{∂Φ}{∂x}-γx\)

The question was asked in an online interview.

Asked question is from Elasticity Elements topic in division Elements of Elasticity of Geotechnical Engineering I

Answer 1

Correct option is (b) \(-\frac{∂^2Φ}{∂x∂z}-γx\)

The explanation is: It is convenient to reduce the compatibility and equilibrium equations into a single equation in terms of stress function Φ.

The  shear stress function τxz is given by,

\(τ_{xz}=-\frac{∂^2Φ}{∂x∂z}-γx\)