## Basic theory of structures |

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### Contents

Shearing Force and Bending Moment | 41 |

Bending Stresses in Beams | 70 |

Complex Stress | 91 |

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algebraic sum axial load b.m. diagram bars bending stress buckling load Calculate the maximum cantilever carries centroid compound beam concentrated load Construct cross-sectional area dead load direct stress displacement distance equal equations of equilibrium Euler Example Figure flange force diagram forces acting free body diagram ft long girder Hence influence line intensity of loading internal force joint lbf/ft lbf/in2 length line of action line of b.m. maximum b.m. maximum stress mid-span modulus Mohr diagram neutral axis pinned plane portal frame position pre-stressing ratio reinforced concrete resistance roller sagging shear stress shearing force shown in Fig simple beam simply supported slab span statically determinate strain energy stress distribution structure strut support reactions taking moments tensile tensile stress three-pinned arch tion tonf tonf/ft tons compression tons ft tons tension tons/in2 triangle uniform loading uniformly distributed load vector vertical deflection vertical reaction weight yield stress zero