Project ForgeStrength of Materials
Stress & Strain
GATE 2019
Medium
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)
- (0.5, −0.15)
- D(0.5, −0.5)
Explanation
With σx=100 MPa, σy=0 (uniaxial): εx=σx/E=100/200=0.5. εy=−νεx=−0.3×0.5=−0.15. Principal strains in the plane are (0.5, −0.15).
Source: GATE ME 2019 Session 2 (Set 3) (2019)
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