## Theory of structures with matrix notation |

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### Contents

Pin jointed isostatic plane structures | 1 |

Structural properties | 23 |

Isostatic beams | 59 |

Copyright | |

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AfAD AfBA analysis Answer anticlockwise axial force axial load beam shown becomes bending moment diagram Calculate the deflection column compressive compressive stress Consider cross section develop distance Examples Example external loads fixed ended force in member forces acting fully plastic given by equation gives Hooke's law influence line isostatic frame jointed frame shown length linear elastic load factor matrix form member deformations member forces midspan negative obtained ordinates pin jointed frame plane plastic hinge point load positive principle of superposition propped cantilever Resolving the forces rotation second end shearing force diagram shown in Figure simply supported beam slope deflection equations space frame span stability functions stiffness stiffness equations strain energy stress stress-strain curve structure sway symmetrical taking moments tensile tensile stress tension unit load vector vertical deflection vertical equilibrium vertical load virtual work equation zero