| I. Vector Algebra and Allied Geometrical Concepts |
| 1.1 Introduction |
| 1.2 Vector and Scalar quantities |
| 1.3 Elementary operations |
| 1.4 Unit vectors; rectangular cartesian components |
| 1.5 Plane and Cylindrical polar coordinates |
| 1.6 The scalar product; orthogonal projection and scalar components |
| 1.7 The vector product; moment of a vector about a point |
| 1.8 The scalar triple product; the moment of a vector about a line |
| 1.9 The vector triple product |
| 1.10 Vector equations |
| II. Principles of Statics |
| 2.1 Newton's laws of motion; equilibrium of a particle |
| 2.2 Force and moment vectors; the couple |
| 2.3 The mechanical system and the Free-body diagram |
| 2.4 Equilibrium of systems |
| 2.5 The rigid body: constraints and equilibrium |
| 2.6 Equipollent sets of forces; reduction of sets of forces |
| 2.7 Distributed force sets; center of mass and of gravity |
| III. Analysis of Statically Determinate States of Equilibrium |
| 3.1 Statically determinate and statically indeterminate equilibrium |
| 3.2 Analysis of the Equilibrium of systems of rigid bodies |
| 3.3 Analysis of trusses |
| 3.4 Analysis of frames and mechanisms |
| IV. Equilibrium under Distributed Forces |
| 4.1 Introduction |
| 4.2 The loaded cable |
| 4.3 Statically determinate beams; moment and shear diagrams |
| 4.4 Hydrostatics and aerostatics |
| 4.5 The stress tensor; equilibrium equations for the continuum |
| V. Frictional Effects in Statics |
| 5.1 Sources of friction in technology |
| 5.2 Elementary frictional analysis |
| 5.3 Further aspects of frictional analysis |
| 5.4 Cable friction |
| 5.5 Friction in Machine elements |
| Appendix. Centers of Mass |
| A.1 Definition of the mass center of a body |
| A.2 Translation and rotation of axes |
| A.3 Further methods of locating the mass center |
| A.4 Center of mass of uniform bodies |
| Index |