## Basic Theory of Structures: The Commonwealth and International Library: Mechanical Engineering DivisionBasic Theory of Structures provides a sound foundation of structural theory. This book presents the fundamental concepts of structural behavior. Organized into 12 chapters, this book begins with an overview of the essential requirement of any structure to resist a variety of loadings without changing its shape. This text then examines the application of the laws of statics to structures as a means of determining the external reactions induced at supports due to loading. Other chapters consider the dependence of stress components on the choice of reference plane. This book discusses as well the method of determining the internal forces in the bars of a truss, which depends upon applying the conditions of equilibrium. The final chapter deals with the variety of factors affecting the strength of concrete. This book is intended to be suitable for civil engineering students. Design and civil engineers will also find this book extremely useful. |

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### Contents

1 | |

Chapter 2 Shearing Force and Bending Moment | 41 |

Chapter 3 Bending Stresses in Beams | 70 |

Chapter 4 Complex Stress | 91 |

Chapter 5 Statically Determinate Plane Trusses | 98 |

Chapter 6 Rolling Loads | 120 |

Chapter 7 Combined Bending and Direct Stress | 145 |

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### Common terms and phrases

algebraic sum axial load b.m. diagram bars bending stress buckling load Calculate the maximum cantilever carries centre 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/in length line of action line of s.f. maximum b.m. maximum stress mid-span modulus Mohr diagram neutral axis obtained pinned plane portal frame portion 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 compression tonf tension tonf/ft tonf/in triangle uniform loading uniformly distributed load vector vertical deflection vertical reaction weight yield stress zero