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The stress-strain diagram for a steel rod is shown and can be described by the equation ε=0.20(1e-06)σ+0.20(1e-12)σ^{3} where s in kPa. Determine the yield strength assuming a 0.5% offset.

**Solution**

(a) For 0.5% =0.005mm/mm

5000=0.20σ+0.20(1e-6)σ^{3} solving for σ=2810.078kPa.

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