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Basic Principles of Statics
Bar Type Systems
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arbitrary axial bar of Fig beam behaviour bending body forces boundary conditions calculations calculus of variations Chapter coefficients compatibility complementary energy constant constraints continuum continuum mechanics corresponding defined deflexion deformation degrees of freedom determine differential equation direction distributed energy principle equations of equilibrium equilibrium configuration Euler equation EXAMPLE finite element finite element method finite number formulation generalised coordinates geometric Hooke's law Hooke's law material Integrating internal forces Jvol Lagrange multipliers linear elastic notation number of degrees obtained particles plane plate position prescribed principle of virtual quantities Rayleigh-Ritz Rayleigh-Ritz method reactions redundant satisfy shearing stress shown in Fig solid statically indeterminate stationary value strain energy strain energy stored stress analysis stress components stress-strain law structure Substituting from equation supports suppose surface symmetric tensor theorem theory torsion total potential energy tractions variational calculus vector virtual complementary virtual displacements whilst yields zero