How to calculate modulus of resilience?

Understand the Problem

The question is asking how to calculate the modulus of resilience, which is a measure of a material's ability to absorb energy when it is deformed elastically and then release that energy upon unloading. To solve this, we will need to understand the formula and the parameters involved in calculating the modulus of resilience.

Answer

Ur = (σy²) / (2E)

The final answer is Ur = (σy²) / (2E)

Answer for screen readers

The final answer is Ur = (σy²) / (2E)

More Information

The modulus of resilience represents the maximum energy that a material can absorb per unit volume without undergoing permanent deformation. It is crucial in applications requiring materials to absorb energy impacts, such as springs and shock absorbers.

Tips

Remember that the stress-strain relationship is linear only up to the yield point. Beyond this limit, plastic deformation happens, which is not considered in the modulus of resilience calculation.

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