-
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uni-axial tensile stress of 100 MPa along the length direction. Assume plane stress condition in the plane normal to the thickness. The Young’s modulus E = 200 MPa and Poisson’s ratio μ = 0.3 are given. The principal strains in the plane of the sheet are
-
- (0.5, – 0.15)
- (0.5, 0.0)
- (0.35, – 0.15)
- (0.5, – 0.5)
Correct Option: A
Given E = 200 MPa
σx = 100 MPa
σy = 0
Principal strain in x-direction
| εx = | - μ | |||
| E | E |
| = | - 0 = 0.5 | 200 |
εx = 0.5
Principal strain in y-direction,
| εy = | - μ | |||
| E | E |
| ⇒ 0 - 0.3. | = - 0.15 | 200 |
(εx, εy) = (0.5,-0.15)
