## Non-linear structures; matrix methods of analysis and design by computers |

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### Contents

Introduction | 1 |

Matrix methods of Structural Analysis | 45 |

The Stability Functions | 95 |

Copyright | |

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applied load axial forces axial loads axis becomes bending moments calculated chapter CN CN CN collapse mechanism constraints continuous beam corresponding displacement transformation matrix drooping curve effect of axial elastic critical load elastic-plastic analysis elements equal external loads frame of Figure fully plastic given by equation gives graph Hence hinge rotation horizontal iteration joint displacement vector linear elastic linear programming load factor maximum member forces minimum weight design mode of deformation non-linear elastic non-linear programming objective function obtained overall stiffness matrix pin-jointed pitched roof frame plane frame plastic hinge plastic theory portal frame procedure rigidly jointed second end selected shear force shown in Figure slack variables space frame stability functions statically determinate stiffness equations stress structure sway frames Table tion variables vertical deflection vertical load virtual work equation zero