## Finite Element Analysis: Theory and ProgrammingA presentation of detailed theory and computer programs which can be used for stress analysis. The finite element formulations are developed through easy-to-follow derivations for the analysis of plane stress or strain and axisymmetric solid, plate-bending, three dimensional solid and shell problems. |

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### Contents

Introduction | 1 |

Basic Principles of Structural Mechanics | 22 |

Element Properties | 63 |

Isoparametric Elements | 109 |

Direct Stiffness Method of Analysis | 145 |

G Computer Program for Finite Element Analysis | 175 |

Analysis of Framed Structures | 204 |

Plane Stress and Plane Strain Analysis | 296 |

ThreeDimensional Stress Analysis | 350 |

Analysis of Plate Bending | 402 |

Analysis of Shells | 465 |

Conduction Heat Transfer | 515 |

Substructuring Technique | 559 |

Finite Element Analysis Software | 575 |

### Common terms and phrases

axial axis beam element boundary conditions calculated CALL cantilever beam Chapter components computed corresponding deflection degrees of freedom derivatives DIMENSION discretization displacement vector eight noded element element library element shown element stiffness matrix element type evaluated expressed finite element analysis Finite Element Method forces formulation four noded Gauss points given heat conduction Hence incompatible modes integration isoparametric element Jacobian matrix level substructure linear LOAD VECTOR DUE ment mesh midsurface natural coordinates nodal displacements nodal load vector noded isoparametric number of elements numerical integration PASSFEM plane stress plate bending potential energy problem procedure quadrature quadrilateral quadrilateral element rectangular element RETURN END rotation routine shape functions shear deformation shell element shown in Fig solid element solution stiffness coefficients strain energy strain-displacement stress resultants structure SUBROUTINE Substituting theory thickness thin plates three-dimensional tion triangular element truss element two-dimensional values variation virtual displacement zero