Question

The shearing strain component in Y-Z plane is ________

(a) \(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

(b) \(Γ_{yz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \)

(c) \(Γ_{yz} =\frac{∂v}{∂y}+\frac{∂w}{∂x} \)

(d) \(Γ_{yz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \)

I have been asked this question in a job interview.

I need to ask this question from Strain Components and Compatibility Equations topic in chapter Elements of Elasticity of Geotechnical Engineering I

Answer 1

Right choice is (a) \(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

For explanation: In order to find the shearing strain component in Y-Z plane, let us consider a plane lamina of size dy, dz in Y-Z plane. If w is the displacement in z-direction and v is the displacement in y-direction, the shearing strain component is,

\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z}. \)