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The strain energy stored in a spring, when subjected to maximum load, without suffering permanent distortion, is known as
  • a)
    impact energy
  • b)
    proof resilience
  • c)
    proof stress
  • d)
    modulus of resilience
Correct answer is option 'B'. Can you explain this answer?
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The strain energy stored in a spring, when subjected to maximum load, ...
Proof resilience:The maximum energy stored within the elastic limit is called proof resilience it is the strain energy corresponding to stress at elastic limit.
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The strain energy stored in a spring, when subjected to maximum load, ...
Proof Resilience of a Spring

Proof resilience refers to the amount of strain energy that can be stored in a spring when subjected to its maximum load without undergoing any permanent deformation. It is an important property of a spring as it determines its ability to store and release energy effectively.

Calculation of Proof Resilience

The proof resilience of a spring can be calculated using the following formula:

Proof Resilience = (Load^2 / 2 x Spring Constant) x Proof Stress

Where,
Load = Maximum load applied to the spring
Spring Constant = Stiffness of the spring
Proof Stress = Maximum stress that the spring can withstand without undergoing permanent deformation.

Importance of Proof Resilience

The proof resilience of a spring is an important factor to consider while selecting a spring for a particular application. A spring with high proof resilience can store and release energy more effectively, making it suitable for applications where energy storage and release are critical.

For example, in a mechanical watch, the spring is used to store energy, which is released to power the watch movement. A spring with high proof resilience will store more energy, resulting in a longer power reserve for the watch.

Conclusion

In conclusion, the proof resilience of a spring is the amount of strain energy that can be stored in it when subjected to its maximum load without undergoing any permanent deformation. It is an important property of a spring that determines its ability to store and release energy effectively.
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The strain energy stored in a spring, when subjected to maximum load, ...
Proof Resilience:

Proof resilience is the maximum strain energy that a material can store without undergoing permanent deformation or failure. It is defined as the amount of energy per unit volume of material that can be absorbed when the material is subjected to a specific load without permanent deformation.

Calculation of Proof Resilience:

Proof resilience is calculated using the following formula:

Proof resilience = (Proof stress)^2 / (2 x Young's modulus)

where Proof stress is the maximum stress that the material can withstand without permanent deformation, and Young's modulus is the measure of the stiffness of the material.

Significance of Proof Resilience:

Proof resilience is an important material property as it determines the ability of the material to withstand shock and impact loads without undergoing permanent deformation or failure. It is commonly used in the design of structures and components that are subjected to high impact loads, such as bridges, buildings, and aircraft components.

Difference between Proof Resilience and Modulus of Resilience:

Proof resilience should not be confused with the modulus of resilience, which is a measure of the elastic energy that a material can store and release when subjected to a strain. The modulus of resilience is calculated as the area under the stress-strain curve up to the elastic limit of the material.

Conclusion:

In conclusion, proof resilience is an important material property that measures the ability of a material to store strain energy without undergoing permanent deformation or failure. It is an important parameter in the design of structures and components that are subjected to high impact loads.
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The strain energy stored in a spring, when subjected to maximum load, without suffering permanent distortion, is known asa)impact energyb)proof resiliencec)proof stressd)modulus of resilienceCorrect answer is option 'B'. Can you explain this answer?
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