Virtual work | Wikipedia audio article
Channel: Subhajit Sahu
Date: 2018-12-25

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Virtual_work


00:00:46 1 History
00:02:57 2 Overview
00:03:51 3 Introduction
00:04:19 4 Static equilibrium
00:04:45 4.1 Constraint forces
00:05:26 5 Law of the lever
00:07:43 6 Gear train
00:10:40 7 Dynamic equilibrium for rigid bodies
00:15:09 7.1 Generalized inertia forces
00:16:48 7.2 D'Alembert's form of the principle of virtual work
00:17:08 8 Virtual work principle for a deformable body
00:24:01 8.1 Proof of equivalence between the principle of virtual work and the equilibrium equation
00:25:10 8.2 Principle of virtual displacements
00:31:34 8.3 Principle of virtual forces
00:35:12 9 Alternative forms
00:36:30 10 See also
00:41:21 11 External links
00:45:44 12 References
00:51:45 13 Bibliography
01:01:55 Principle of virtual displacements
01:05:00 Principle of virtual forces
01:06:58 Alternative forms
01:07:57 See also
01:08:21 External links



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SUMMARY
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Virtual work arises in the application of the principle of least action to the study of forces and movement of a mechanical system.  The work of a force acting on a particle as it moves along a displacement will be different for different displacements.  Among all the possible displacements that a particle may follow, called virtual displacements, one will minimize the action. This displacement is therefore the displacement followed by the particle according to the principle of least action.  The work of a force on a particle along a virtual displacement is known as the virtual work.
Historically, virtual work and the associated calculus of variations were formulated to analyze systems of rigid bodies, but they have also been developed for the study of the mechanics of deformable bodies.