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Solid Mechanics and Its Applications #1528: Engineering Mechanics: Volume 1: Equilibriumby C. Hartsuijker
Synopses & Reviews
This work treats structural and continuum mechanics in a unified and consistent manner.
Analytical and graphical methods are given equal emphasis to account for the contemporary requirements of computer applications on one hand, and visualization and insight on the other hand. Therefore, all theoretical developments are presented both in the text and by means of an extensive set of figures. Text and figures complement each other, and this twofold presentation is also used in the examples. In the same spirit, both formal and intuitive (engineering) arguments are used in parallel to derive the principles used for instance in Bending Moment diagrams and Shear Stress diagrams. Importantly, sign conventions for member forces are related to the stress definitions of continuum mechanics and then applied consistently throughout the series.
This is the first of two volumes introducing structural and continuum mechanics in a comprehensive and consistent way. The current book presents all theoretical developments both in text and by means of an extensive set of figures. This same approach is used in the many examples, drawings and problems. Both formal and intuitive (engineering) arguments are used in parallel to derive the principles used, for instance in bending moment diagrams and shear force diagrams. A very important aspect of this book is the straightforward and consistent sign convention, based on the stress definitions of continuum mechanics. The book is suitable for self-education.
Table of Contents
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.
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