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If the principle of virtual work for applied forces is used on individual particles of a rigid body, the principle can be generalized for a rigid body: When a rigid body that is in equilibrium is subject to virtual compatible displacements, the total virtual work of all external forces is zero; and conversely, if the total virtual work of all ...
The virtual work method is an expression of conservation of energy: for conservative systems, the work added to the system by a set of applied forces is equal to the energy stored in the system in the form of strain energy of the structure's components.
He also developed the Williot-Mohr diagram for truss displacements and the Maxwell-Mohr method for analysing statically indeterminate structures, it can also be used to determine the displacement of truss nodes and forces acting on each member. The Maxwell-Mohr method is also referred to as the virtual force method for redundant trusses.
The Unit dummy force method provides a convenient means for computing displacements in structural systems. It is applicable for both linear and non-linear material behaviours as well as for systems subject to environmental effects, and hence more general than Castigliano's second theorem.
The virtual element method (VEM), introduced by Beirão da Veiga et al. (2013) [21] as an extension of mimetic finite difference (MFD) methods, is a generalization of the standard finite element method for arbitrary element geometries.
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Virtual work exposes management gaps, he went on, “and I think the default reaction has been, ‘bring everyone back, and we won’t have those gaps’. But those gaps exist in the real world ...
This theorem includes the method of "least work" as a special case. 1874: Otto Mohr formalized the idea of a statically indeterminate structure. 1922: Timoshenko corrects the Euler–Bernoulli beam equation. 1936: Hardy Cross' publication of the moment distribution method, an important innovation in the design of continuous frames.