Profile
Settings
Refer your friends
Sign out
In context to strain energy, it can be stated that when a body’s shape and size change under a pressure of an external force, then that body undergoes a strained condition. The strain of a body is considered when the changes take place in its unit size. The body is generally expressed as strained when it undergoes changes in its dimension over its original state of dimension. Here, “L” is denoted as a unit of dimension and as a clarification, it can be said that the strain energy of a body neither has a unit nor has a dimensional formula.
Strain energy: Discussion
Strain energy is determined as the energy that allows a body’s shape and size to change under a pressure of an external force, then that body undergoes a strained condition. The strain of a body is considered when the changes take place in its unit size. “Strain = Δ L, L = Change in Length Original Length” is considered as the formula of strain. The “formula of strain energy” can be written as “U=Fδ/2”. In the case of stress, σ is considered to be in its proportional state to a “strain \epsilon” and “U=(½)Vσϵ” is the “formula of strain energy” here.
Strain energy and its features
The energy that is kept stored in a body when it is in working condition, then that energy is considered as resilience or strain energy. In mathematical form, it can be written as “strain energy = work done”. There are various major features of strain energy, such as the “strain energy” per unit mass is mainly denoted as the density of energy strain in an elastic body. In an integration process of strain energy, it has been observed that on incorporating an applied force over a beam’s length, a constant expression is mainly obtained. In order to bring the entire system of the elastic body into its original size and shape it is important to release the applied force. The area of the material that is covered under strain-stress curving towards the deformation point is also denoted as the energy of tensile strain.
The formula of strain energy
Strain energy is considered as elastic potential energy stored within materials due to its deformation and the “formula of strain energy” is “U = σ2 / 2E × V”. Based on the basic 4 main types of loading the “formula of strain energy” can be divided as follows.
- In context to compression, direct load or tension, the formula can be written as “Strain energy U =∫ P2ds/ 2AE or P2L/ 2AE = δ2AL/ 2E = δ2/ 2E ×volume of bar”.
- In context to Shear load, the formula can be provided as “Strain energy U =∫ Q2ds/ 2AG or Q2L/ 2AG = τ2 /2G × AL = τ2/ 2G ×volume of bar”.
- In context to bending, the formula can be denoted as, “Strain energy U =∫ M2ds/ 2EI or M2L/ 2EI, if M is constant”.
- In context to torsion, the formula can be written as, “Strain energy U =∫ T2ds/ 2GJ or T2L/ 2GJ, if T is constant”.
Elastic strain energy
The elastic strain energy can be also included in the form of formula stress = strain *elastic modules. This law of elasticity is referred to as Hooke’s law and it highlights that for relatively smaller objects, which are in their deformation state, the size, or displacement of deformation is proportional to a body’s load or deforming force directly. In the context of strain energy, it can be stated that it is used for the purpose of stirring the energy of an object due to external forces or deformation forces.
Conclusion
In context to “strain energy”, it can be stated that a body is denoted as in its strain condition when a body’s shape and size change under the pressure of an external force. The strain of a body is considered when the changes take place in its unit size. “Strain = Δ L, L = Change in Length Original Length” is considered as the formula of strain. “U = σ2 / 2E × V” has been considered as the dimensional “formula of strain energy”. The ratio of strain generally has no limit. In order to recover the original shape and size of the elastic bodies, deforming forces are applied to the bodies in the form of external forces.
