Question

If v is the displacement in y-direction, the linear strain component in is defined by __________

(a) \(ε_Y=\frac{∂v}{∂y}\)

(b) \(ε_Y=\frac{∂y}{∂v}\)

(c) \(ε_Y=\frac{dy}{dv}\)

(d) εY=v+y

The question was posed to me by my school teacher while I was bunking the class.

Question is taken from Strain Components and Compatibility Equations in portion Elements of Elasticity of Geotechnical Engineering I

Answer 1

The correct choice is (a) \(ε_Y=\frac{∂v}{∂y}\)

The explanation is: The strain is the ratio of change in dimension of an object to its original dimension. Therefore, the linear strain component in is defined by,

\(ε_Y=\frac{∂v}{∂y}\). Where, v is the displacement in y-direction.