Engineering Mechanics

Preface; Foreword; 1. Introduction: 1.1 Mechanics; 1.2 Quantities, units, dimensions; 1.3 Vectors; 1.4 Newton's Laws; 2. Statics of a Particle: 2.1 Coplanar forces; 2.2 Forces in space; 2.3 Equilibrium of a particle; 2.4 Problems; 3 Statics of a Rigid Body: 3.1 Coplanar forces and moments; 3.2 Equilibrium of a rigid body in a plane; 3.3 Forces and moments in space; 3.4 Equilibrium of a rigid body in space; 3.5 Problems; 4. Structures: 4.1 Structural elements; 4.2 Joints between structural elements; 4.3 Supports; 4.4 Planar structures; 4.5 Kinematic/static (in)determininate structures; 4.6 Problems; 5. Calculating Support Reactions and Interaction Forces: 5.1 Self contained structures; 5.2 Hinged beams; 5.3 Three-hinged frames; 5.4 Three-hinged frames with tie-rod; 5.5 Shored structures; 5.6 Trussed beams; 5.7 Strengthened beams; 5.8 Problems; 6. Loads: 6.1 Loads in mechanics; 6.2 Loads in regulations; 6.3 Working with distributed loads; 6.4 Modelling load flow; 6.5 Stress concept; normal stress and shear stress; 6.6 Problems; 7. Gas Pressure and Hydrostatic Pressure: 7.1 Pascal's law -- All-round pressure; 7.2 Working with gas pressures; 7.3 Working with hydrostatic pressures; 7.4 Summary; 7.5 Problems; 8. Earth Pressures: 8.1 Stresses in soil; 8.2 Vertical earth pressures; 8.3 Horizontal earth pressures; Appendix 8.1; Appendix 8.2; 8.4 Problems; 9. Trusses: 9.1 Plane Trusses; 9.2 Kinematically/statically (in)determinate trusses; 9.3 Determining member forces; 9.4 Problems; 10. Section Forces: 10.1 Force flow in a member; 10.2 Diagrams for the normal force, shear force and bending moment; 10.3 Deformation symbols for shear forces and bending moments; 10.4 Summary sign conventions for the N, V and M diagrams; 10.5 Problems; 11. Mathematical Description of the Relationship between Section Forces and Loading: 11.1 Differential equations for the equilibrium; 11.2 Mathematical elaboration of the relationship between N and qx(extention); 11.3 Mathematical elaboration of the relationship between M, V and qz (bending); 11. 4 Problems; 12. Bending Moment, Shear Force and Normal Force Diagrams: 12.1 Rules for drawing V and M diagrams more quickly; 12.2 Rules for drawing the N diagram more quickly; 12.3 Bent and compound bar type structures; 12.4 Principle of superposition; 12.5 Schematisations and reality; 12.6 Problems; 13. Calculating M, V and N Diagrams: 13.1 Self-contained structures; 13.2 Compound and associated structures; 13.3 Statically indeterminate structures; 13.4 Problems; 14. Cables, 14.2 Centre of force and line of force; 14.3 Relationship between cable, line of force and structural shape; 14.4 Problems; 15. Virtual work: 15.1 Work and strain energy; 15.2 Virtual work equation for a particle; 15.3 Virtual work equation for a rigid body; 15.4 Virtual work equation for mechanisms; 15.5 Calculating forces using virtual work; 15.6 Problems; 16. Influence Lines: 16.1 Influence lines using equilibrium equations; 16.2 Influence lines using virtual work; 16.3 Working with influence lines; 16.4 Problems.