Principle Of Virtual Work Definition Relation Advantages

Chapter 8 Principle Of Virtual Work The principle of virtual work is a powerful concept in the field of structural analysis and mechanics that provides a method for calculating the equilibrium of a system by considering the virtual displacements of its components. it is based on the principle that in a state of equilibrium, the work done by internal forces within a structure, as. According to the principle of virtual work, “total virtual work done by all the forces acting on a system in static equilibrium is zero for a set of infinitesimal virtual displacements from equilibrium. ” john bernoulli devised this technique in 1717. we must be extremely clear about the definitions of work, virtual work, and virtual.

Principle Of Virtual Work Definition Relation Advantages The principle of virtual work definitions: virtual work is the work done by a real force acting through a virtual displace ment or a virtual force acting through a real displacement. a virtual displacement is any displacement consistent with the constraints of the structure, i.e., that satisfy the boundary conditions at the supports. The virtual work method, also referred to as the method of virtual force or unit load method, uses the law of conservation of energy to obtain the deflection and slope at a point in a structure. this method was developed in 1717 by john bernoulli. to illustrate the principle of virtual work, consider the deformable body shown in figure 8.1. Virtual work is the total work done by the applied forces and the inertial forces of a mechanical system as it moves through a set of virtual displacements. when considering forces applied to a body in static equilibrium, the principle of least action requires the virtual work of these forces to be zero. Definition. from the physical point of view, the principle of virtual work is an attempt to characterize unequivocally an equilibrium configuration of a mechanical system (as defined in statics (q.v.)) by observing how it reacts to a small kinematical perturbation, called a virtual displacement.