Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction

Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young’s modulus E = 200 MPa and Poisson’s ratio ν = 0.3 are given. The principal strains in the plane of the sheet are

(A) (0.35, −0.15)

(B) (0.5, 0.0)

(C) (0.5, −0.15)

(D) (0.5, −0.5)

Ans: (0.5, – 0.15)

Sol:

Given E = 200 MPa
σ_x = 100 MPa
σ_y = 0
Principal strain in x-direction