## Elementary theory of structures |

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### Contents

INTRODUCTION | 1 |

STABILITY AND DETERMINACV OF STRUCTURES | 7 |

3 STATICALLY DETERMINATE BEAMS | 37 |

Copyright | |

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ANALYSIS OF STATICALLY Analyze antisymmetrical matrix antisymmetry applied loads axial forces bar force beam in Fig beam shown carry-over factors clockwise column compute concentrated load conjugate beam consider consistent deformations construct the influence counter-clockwise denoted determinacy determined displacement method distribution elastic load elements end moments equal Example fixed-end moments force method frame in Fig frame shown free body ft Fig ft-kips girder horizontal indicated in Fig influence diagram influence line influence ordinate internal force joint translation kips per in.2 member forces method of consistent midspan section modified stiffness nodal displacements nodal forces Note obtain panel point primary structure Referring to Fig result rotation shown in Fig simple beam simultaneous equations slope solution span square matrix statically indeterminate strain energy symmetrical symmetrical matrix uniform load unit load unknown unlocking vertical deflection virtual displacement zero