Basic Theory of Structures

Preface1. Equilibrium of Structures Loading on Structures Conditions of Equilibrium Three Forces in Equilibrium The Link Polygon Equilibrant and Resultant of a System of Forces Transmissibility of Force Principle of superposition Determination of Support Reactions Compound Beams Three-Pinned Arches and Portals Particles Subjected to a Set of Forces in Equilibrium Exercise 12. Shearing Force and Bending Moment Internal Forces Axial Force Shearing Force Bending Moment Relationship Between Loading and Shearing Force Relationship Between Shearing Force and Bending Moment Shearing Force and Bending Moment Diagrams Position of Supports for Uniformly-Loaded Beam to Give Maximum Load-Carrying Capacity Beam with Oblique Loading Three-Pinned Arch Linear Arch Beam with Varying Intensity of Loading Exercise 23. Bending Stresses in Beams Mechanism of Bending Moment of Resistance First Moments of Area Second Moments of Area Principal Axes of Bending Modulus of Section Materials for Beams Curtailment of Flanges Moment of Resistance of a B.S.B. Compound Girder Simplified Plate Girder Design Exercise 34. Complex Stress Complementary Shear Stress The General Case of Plane Stress (Principal Stresses) Distribution of Shear Stress Across a Solid Rectangular Beam Exercise 45. Statically Determinate Plane Trusses Perfect Frames Methods of Analysis Force Diagrams Graphical Analysis of a Roof Truss Solution by s.f. and b.m. Diagrams Exercise 56. Rolling Loads Influence Lines for Simple Beams Position of a Train of Loads to Give a Maximum s.f. at a Given Section Position of a Train to Give a Maximum b.m. at a Given Section Position of a Train to Give a Maximum b.m. Under a Given Load Influence Lines for Simply Supported Trusses Influence Line of Horizontal Thrust in a Three-Pinned Arch Envelope Diagrams of s.f. and b.m. Exercise 67. Combined Bending and Direct Stress Beams with Longitudinal Loads Eccentrically Loaded Stocky Struts or Ties Structures Relying on Gravity for their Stability Stability of a Chimney Stresses on the Base of a Dam Middle Third Rule Stability of a Retaining Wall Pre-Stressed Concrete Beams Exercise 78. Deflection of Beams Curvature Calculation of Beam Deflections Cantilevers and Beams with Simple Loadings Macaulay's Method Overhanging Beam Exercise 89. Buckling of Struts Stability of Equilibrium Determination of Critical Load Factor of Safety and Load Factor Effect of Different End Constraints Exercise 910. Deflection of Trusses - Strain Energy Method Strain Energy Deflection of a Truss Steps in the Strain Energy Method of Analysis for Trusses Exercise 1011. Deflection of Trusses - Graphical Method Displacement of a Loaded Particle Supported by Two Cords Construction of Williot Diagram for a Cantilever Truss Combined Williot-Mohr Displacement Diagram Deflection of Simply Supported Truss Exercise 1112. Reinforced Concrete Factors Affecting the Strength of Concrete Reinforced Concrete Beams Determining the Moment of Resistance of a Given Beam Slabs Simply Supported on Two Opposite Edges Economic Percentage of Steel Simple Design Problems Exercise 12Index