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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?
Verified Answer
The strain energy stored in a spring, when subjected to maximum load, ...
Resilience
When a body subjected to external load within the elastic limit,  the body gets deformed. On the removal of the external load, the body will get its original shape(Under load within elastic limit). Why because the body can store some internal energy.

From the Hooke’s law

Stress is directly proportional to the Strain.

Stress is the load applied per area whereas the strain is the deformation(Change in length/ Original length).

From this, as the load increase, the deformation will also increase. when load decreases, the deformation will also decrease where the applied load should be within the elastic limit.

Proof Resilience
The maximum amount of the strain energy can be stored in the body up to the elastic limit is defined as the Proof resilience. as simple as that.
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The strain energy stored in a spring, when subjected to maximum load, ...
Proof Resilience

Proof resilience is the strain energy stored in a spring when it is subjected to maximum load without experiencing permanent distortion. It is an important mechanical property of materials that are used in engineering applications.

Definition

Proof resilience is defined as the maximum amount of energy that a material can absorb without undergoing permanent deformation. It is the strain energy stored in a material when it is subjected to a load that is equal to its yield strength.

Calculation

The proof resilience of a material is calculated using the formula:

Proof Resilience = (0.5 * yield strength * strain at yield point^2)

where yield strength is the stress at which a material starts to deform plastically, and strain at yield point is the amount of strain that the material undergoes when it reaches its yield strength.

Importance

Proof resilience is an important mechanical property of materials because it indicates their ability to withstand high stress and strain without undergoing permanent deformation. This property is particularly important for materials that are used in applications where they are subjected to repeated loading and unloading cycles, such as springs and other mechanical components.

Modulus of Resilience

The modulus of resilience is another mechanical property that is related to the strain energy stored in a material. It is defined as the maximum amount of energy that a material can absorb without undergoing permanent deformation per unit volume. The modulus of resilience is calculated using the formula:

Modulus of Resilience = (0.5 * yield strength^2 / Young's modulus)

where Young's modulus is a measure of a material's stiffness.

Difference between Proof Resilience and Modulus of Resilience

Proof resilience and modulus of resilience are related mechanical properties, but they are not the same. The main difference between the two is that proof resilience is a measure of the strain energy stored in a material, while modulus of resilience is a measure of the strain energy stored per unit volume of the material.
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Community Answer
The strain energy stored in a spring, when subjected to maximum load, ...
Modulus of resilience is another thing that area under stress strain diagram upto to the elastic limit.
but proof resilience is corresponding to 0.2% proof stress.
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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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