define strain energy derive an expression for it distingwish between young s & bulk & regards modulus
Answers
Answer:
Strain Energy Formula
Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.
Answer:
Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.
The strain energy formula is given as,
U = Fδ / 2
Where,
δ = compression,
F = force applied.
When stress σ is proportional to strain ϵ, the strain energy formula is given by,
Strain energy formula
Where,
σ = stress
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program. = strain
V = volume of body
Regarding Young’s modulus E, the strain energy formula is given as,
U = σ2 / 2E × V.
Where,
σ = stress,
E = Young’s modulus,
V = volume of body.
Solved Examples
Example 1
When a force of 1000 N is applied on a body, it gets compressed by 1.2 mm. Determine the strain energy.
Solution:
Given:
Force F = 1000 N,
Compression δ = 1.2 mm
Strain energy formula is given by,
U = Fδ / 2
= 1000 ×1.2×10−3 / 2
Therefore, U = 0.6 J.
Explanation: