The potential energy of elastic deformations is a physical quantity that is equal to half the product of the squared deformation of the body and its stiffness. Consider some theoretical issues related to this quantity.
Features
The potential energy of elastic deformations depends on the location of the parts of the analyzed body. For example, a relationship between the number of turns of springs and the energy of an elastic body is revealed .
The potential energy of elastic deformations is determined by the initial and final position of the spring, that is, its deformation. First, calculate the work performed by the extended spring at the time of return to its original form. After that, the potential energy of elastic deformation of the spring is calculated.
Calculations
It is equal to the work performed by the force of elasticity during the transition of the elastic body to a state in which the strain value is zero.
When stretched with the same force of different springs, they will be informed of a different value of potential energy. The inverse proportion between the stiffness of the spring and the value of potential energy is revealed. The stiffer the spring will be, the smaller the EP will take.
Thus, the potential energy during elastic deformation of bodies is related to the coefficient of elasticity. The work of the elastic force is a value that is performed by force during a change in the magnitude of the deformation of the spring from the initial (initial) value of X1 to the finished position X2.
The difference between these values is called spring deformation. The potential energy of elastic deformations is determined precisely taking into account this indicator.
The spring stiffness coefficient depends on the quality of the material from which the working fluid is made. In addition, it is affected by the geometric dimensions and shape of the analyzed object. This physical quantity is designated by the letter k; units of measurement N / m are used.
The dependence of the elastic force on the distance between the interacting sections of the considered elastic body is revealed.
The work of the elastic force is not related to the shape of the trajectory. In the case of movement in a closed cycle, its total value is zero. That is why elastic forces are considered potential, and they are calculated taking into account the spring stiffness coefficient, the amount of spring deformation.
Conclusion
Regardless of the appearance, any modern structure is deformed to a certain extent, that is, it changes its initial dimensions under the action of external loads applied to the body. In order to check the stability and rigidity of such a structure, it is important to determine the displacements caused by the deformation of its individual elements. An important point is the determination of the movements of the system under consideration. Similar calculations are carried out when calculating the strength of buildings and structures. A variety of calculations related to determining the work of potential forces is a mandatory step in creating drawings of future designs in all areas of industry.