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Class 11 Exam  >  Class 11 Questions  >  The area occupied below the stress-strain gra... Start Learning for Free
The area occupied below the stress-strain graph and above strain axis gives the value of

  • a)
    work done in producing extension

  • b)
    energy stored in the material

  • c)
    Restoring force.

  • d)
    energy density of the material

Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The area occupied below the stress-strain graph and above strain axis ...
The area under the stress-strain curve represents the mechanical energy per unit volume consumed by the material. This is true in the elastic range of the graph where the energy is reversibly sorted within the material. Area under the stress strain curve depicts the energy absorbed by the material prior to failure.
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Most Upvoted Answer
The area occupied below the stress-strain graph and above strain axis ...
Explanation:
When a material undergoes deformation under an applied force, it stores energy in the form of potential energy. The energy stored per unit volume of the material is known as the energy density of the material. The area under the stress-strain curve represents the work done in producing the deformation, which is equal to the energy stored in the material. Therefore, the correct option is D.

The following points explain the concept in detail:

- Stress-Strain Curve: The stress-strain curve is a graphical representation of the relationship between stress and strain in a material. It is obtained by plotting the stress (force per unit area) on the y-axis and the strain (deformation per unit length) on the x-axis. The curve shows how the material responds to an applied force.
- Work Done: The work done in producing deformation is the product of the force and the displacement. In the case of a stress-strain curve, the work done is the area under the curve. This area represents the energy stored in the material.
- Energy Stored: When a material is deformed, it stores energy in the form of potential energy. The amount of energy stored per unit volume of the material is known as the energy density of the material. The energy stored in the material is equal to the work done in producing deformation, which is represented by the area under the stress-strain curve.
- Restoring Force: The restoring force is the force that opposes the deformation of a material. It is proportional to the amount of deformation, and it tends to bring the material back to its original shape. The restoring force is related to the slope of the stress-strain curve, which is known as the modulus of elasticity.
- Energy Density: The energy density of a material is the amount of energy stored per unit volume of the material. It is calculated by dividing the energy stored (represented by the area under the stress-strain curve) by the volume of the material. The energy density of a material is an important parameter in the design of structures and devices that store and release energy.
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The area occupied below the stress-strain graph and above strain axis ...
Correct answer is option 'D'
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The area occupied below the stress-strain graph and above strain axis gives the value ofa)work done in producing extensionb)energy stored in the materialc)Restoring force.d)energy density of the materialCorrect answer is option 'D'. Can you explain this answer?
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