The Finite Element Method: A Basic Introduction |
Contents
The Concept of Stiffness Analysis | 7 |
Bar Finite Elements | 35 |
Finite Elements of Continua | 49 |
Copyright | |
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Common terms and phrases
applied area co-ordinates axial beam element Chapter computer storage considered corresponding curvatures d(vol d₁ defined in equation deflection deformations degrees of freedom diagonal term displacement function displacement vector displacements and forces displacements at node element stiffness matrix example expression F₁ F₂ finite element analysis finite element method folded-plate force vector forces and displacements given in equation in-plane internal stresses lateral displacement leading diagonal linear matrix form matrix H matrix methods mesh nodal displacements nodal forces nodal loads node numbering number of elements obtained overall stiffness matrix plane elasticity problem plane strain plane stress plate bending plate flexure Poisson's ratio polynomial rectangular element relationship rotation shown in equation shown in Figure simply supported element simultaneous equations stress-displacement matrix structural analysis subroutine substituting symmetric symmetric matrix triangular element u₁ u₂ values virtual displacement zero λμ ду дх นา