Modulus of resilience is defined asa)Strain energy per unit volumeb)St...
Explanation: Modulus of resilience is strain energy per unit volume.
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Modulus of resilience is defined asa)Strain energy per unit volumeb)St...
Modulus of resilience
The modulus of resilience is a mechanical property that measures the ability of a material to absorb energy when it is deformed elastically and then released. It represents the strain energy per unit volume that can be absorbed without causing permanent deformation or failure of the material.
Definition
The modulus of resilience is defined as the area under the stress-strain curve up to the elastic limit of the material. It quantifies the ability of a material to store elastic energy and return to its original shape after deformation.
Calculation
To calculate the modulus of resilience, the stress-strain curve of the material is required. The stress-strain curve describes the relationship between the applied stress and the resulting strain of the material.
The modulus of resilience can be determined by integrating the stress-strain curve up to the elastic limit of the material. The area under the curve represents the strain energy per unit volume that the material can absorb.
Significance
The modulus of resilience is an important mechanical property as it provides information about the ability of a material to withstand impact or shock loading. It is particularly important in applications where materials are subjected to cyclic loading or impact forces.
The modulus of resilience is also used to compare the energy-absorbing capabilities of different materials. Materials with higher moduli of resilience are preferred in applications where energy absorption is critical, such as in the design of safety equipment or structural components.
Units
The modulus of resilience is expressed in units of energy per unit volume, typically in joules per cubic meter (J/m^3) or foot-pounds per cubic inch (ft-lb/in^3).
Conclusion
In conclusion, the modulus of resilience is defined as the strain energy per unit volume that a material can absorb without permanent deformation. It is an important mechanical property that quantifies the energy-absorbing capabilities of a material and is used to compare different materials in various applications.