Respuesta :

Answer:

1373.98 MPa.

Explanation:

It is given that,

The modulus of resilience of a steel alloy, U = 4.56 MPa

We need to find the strain at the yield point. The relation for the modulus of resilience is given by :

[tex]U=\dfrac{\sigma^2}{2E}[/tex]

Where

[tex]\sigma[/tex] is the yield strength

E is Modulus of Elasticity, for steel, E = 207 × 10³ MPa

[tex]\sigma=\sqrt{2UE} \\\\\sigma=\sqrt{2\times 4.56\times 207\times 10^3} \\\\\sigma=1373.98\ MPa[/tex]

So, the strain at the yield point is 1373.98 MPa.

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