Elastic Potential Energy In Stretched Wire

Elastic Potential Energy In A Stretched Wire-


Elastic Potential Energy stored in a stretched wire is defined as the amount of work done by an external force to stretch the wire.



  • A wire of length L and area of cross-section A is suspended freely from a rigid support.
  • Let a force F be applied to stretch the wire.
  • Let ℓ be the length through which the wire is stretched.



The tensile stress on the wire is given by-



The longitudinal strain produced in the wire is given by-



Now, the Young’s Modulus of Elasticity of the material of wire is given by-



Now, the work done in stretching the wire further through a distance dℓ is given by-



The total work done in stretching the wire through ΔL can be calculated by integrating dW between the limits ℓ = 0 to ℓ = ΔL as-


Coming Soon…


Read the next article on-

Breaking Stress | Elongation due to Self Weight


Get more notes & other study material of the Chapter Mechanical Properties of Solids.

Physics Vidyalay © 2023