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The true stress (in MPa) versus true strain relationship for a metal is given by σ = 1020 σ0.4 The cross-sectional area at the start of a test (when the stress and strain values are equal to zero) is 100 mm². The cross-sectional area at the time of necking (in mm²) is _____(correct to two decimal places).
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- 67.032 mm²
- - 67.032 mm²
- 68.032 mm²
- 66.032 mm²
Correct Option: A
σ = 1020 ∈0.4.
at UTS ⇒ ∈ = n = 0.4
∈ = 0.4 = ln | ![]() | Ai | ![]() | |||
Af |
0.4 = ln | ![]() | 100 | ![]() | |||
Af |
Af = 67.032 mm²