## The Finite element method: a basic introduction |

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### Contents

Axially Symmetric Continua | 131 |

Programming | 177 |

Triangular Finite Element for Plate Flexure | 196 |

Copyright | |

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### Common terms and phrases

area co-ordinates axial beam element Chapter components computer storage considered constant corresponding curvatures defined in equation deflections deformations degrees of freedom derivation diagonal term displacement function displacement vector displacements and forces displacements at node element stiffness matrix engineering example expression finite element analysis finite element idealisation finite element method folded-plate force vector forces and displacements forces at node given in equation hence in-plane internal stresses inverse lateral displacement leading diagonal linear matrix form matrix methods ments mesh nodal co-ordinates nodal displacements nodal loads number of elements obtained overall stiffness matrix plane elasticity problem plane strain plane stress plate bending plate flexure Poisson's ratio polynomial rectangular element rotation shown in equation shown in Figure simply supported element simultaneous equations solved spring Step VII stress-displacement matrix structural analysis subroutine substituting symmetric symmetric matrix tions triangle triangular element type of element unknown coefficients values virtual displacement vt2 vt2 written zero