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An alloy has a yield strength of 818 MPa and an elastic modulus of 104 GPa. Calculate the modulus of resilience for this alloy [in J/m3 (which is equivalent to Pa)] given that it exhibits linear elastic stress-strain behavior.

Answer :

Answer:

Modulus of resilience will be [tex]3216942.308j/m^3[/tex]

Explanation:

We have given yield strength [tex]\sigma _y=818MPa[/tex]

Elastic modulus E = 104 GPa

We have to find the modulus

Modulus of resilience is given by

Modulus of resilience [tex]=\frac{\sigma _y^2}{2E}[/tex], here [tex]\sigma _y[/tex] is yield strength and E is elastic modulus

Modulus of resilience [tex]=\frac{(818\times 10^6)^2}{2\times 104\times 10^9}=3216942.308j/m^3[/tex]  

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