Front Cover -- Strength of Materials and Structures -- Copyright Page -- Contents -- Preface -- Acknowledgements -- Principal notation -- Note on SI units -- Introduction -- 1.1 Introduction -- 1.2 Trigonometrical definitions -- 1.3 Vectors and scalars -- 1.4 Newton's laws of motion -- 1.5 Elementary statics -- 1.6 Couples -- 1.7 Equilibrium -- Chapter 1. Tension and compression: direct stresses -- 1.1 Introduction -- 1.2 Stretching of a steel wire -- 1.3 Tensile and compressive stresses -- 1.4 Tensile and compressive strains -- 1.5 Stress-strain curves for brittle materials -- 1.6 Ductile materials -- 1.7 Proof stresses -- 1.8 Ductility measurement -- 1.9 Working stresses -- 1.10 Load factors -- 1.11 Lateral strains due to direct stresses -- 1.12 Strength properties of some engineering materials -- 1.13 Weight and stiffness economy of materials -- 1.14 Strain energy and work done in the tensile test -- 1.15 Initial stresses -- 1.16 Composite bars in tension or compression -- 1.17 Temperature stresses -- 1.18 Temperature stresses in composite bars -- 1.19 Circular ring under radial pressure -- 1.20 Creep of materials under sustained stresses -- 1.21 Fatigue under repeated stresses -- Chapter 2. Pin-jointed frames or trusses -- 2.1 Introduction -- 2.2 Statically determinate pin-jointed frames -- 2.3 The method of joints -- 2.4 The method of sections -- 2.5 A statically indeterminate problem -- Chapter 3. Shearing stress -- 3.1 Introduction -- 3.2 Measurement of shearing stress -- 3.3 Complementary shearing stress -- 3.4 Shearing strain -- 3.5 Strain energy due to shearing actions -- Chapter 4. Joints and connections -- 4.1 Importance of connections -- 4.2 Modes of failure of simple bolted and riveted joints -- 4.3 Efficiency of a connection -- 4.4 Group-bolted and -riveted joints -- 4.5 Eccentric loading of bolted and riveted connections.

4.6 Welded connections -- 4.7 Welded connections under bending actions -- Chapter 5. Analysis of stress and strain -- 5.1 Introduction -- 5.2 Shearing stresses in a tensile test specimen -- 5.3 Strain figures in mild steel -- Lüder's lines -- 5.4 Failure of materials in compression -- 5.5 General two-dimensional stress system -- 5.6 Stresses on an inclined plane -- 5.7 Values of the principal stresses -- 5.8 Maximum shearing stress -- 5.9 Mohr's circle of stress -- 5.10 Strains in an inclined direction -- 5.11 Mohr's circle of strain -- 5.12 Elastic stress-strain relations -- 5.13 Principal stresses and strains -- 5.14 Relation between E, G and v -- 5.15 Strain 'rosettes' -- 5.16 Strain energy for a two-dimensional stress system -- 5.17 Three-dimensional stress systems -- 5.18 Volumetric strain in a material under hydrostatic pressure -- 5.19 Strain energy of distortion -- 5.20 Isotropic, orthotropic and anisotropic -- 5.21 Fibre composites -- 5.22 In-plane equations for a symmetric laminate or composite -- 5.23 Equivalent elastic constants for problems involving bending and twisting -- 5.24 Yielding of ductile materials under combined stresses -- 5.25 Elastic breakdown and failure of brittle material -- 5.26 Failure of composites -- Chapter 6. Thin shells under internal pressure -- 6.1 Thin cylindrical shell of circular cross-section -- 6.2 Thin spherical shell -- 6.3 Cylindrical shell with hemispherical ends -- 6.4 Bending stresses in thin-walled circular cylinders -- Chapter 7. Bending moments and shearing forces -- 7.1 Introduction -- 7.2 Concentrated and distributed loads -- 7.3 Relation between the intensity of loading, the shearing force, and bending moment in a straight beam -- 7.4 Sign conventions for bending moments and shearing forces -- 7.5 Cantilevers -- 7.6 Cantilever with non-uniformly distributed load -- 7.7 Simply-supported beams.

7.8 Simply-supported beam carrying a uniformly distributed load and end couples -- 7.9 Points of inflection -- 7.10 Simply-supported beam with a uniformly distributed load over pad of a span -- 7.11 Simply-supported beam with non-uniformly distributed load -- 7.12 Plane curved beams -- 7.13 More general case of bending of a curved bar -- 7.14 Rolling loads and influence lines -- 7.15 A single concentrated load traversing a beam -- 7.16 Influence lines of bending moment and shearing force -- Chapter 8. Geometrical properties of cross-sections -- 8.1 Introduction -- 8.2 Centroid -- 8.3 Centroidal axes -- 8.4 Second moment of area (I) -- 8.5 Parallel axes theorem -- Chapter 9. Longitudinal stresses in beams -- 9.1 Introduction -- 9.2 Pure bending of a rectangular beam -- 9.3 Bending of a beam about a principal axis -- 9.4 Beams having two axes of symmetry in the cross-section -- 9.5 Beams having only one axis of symmetry -- 9.6 More general case of pure bending -- 9.7 Elastic section modulus -- 9.8 Longitudinal stresses while shearing forces are present -- 9.9 Calculation of the principal second moments of area -- 9.10 Elastic strain energy of bending -- 9.11 Change of cross-sectlon in pure bending -- Chapter 10. Shearing stresses in beams -- 10.1 Introduction -- 10.2 Shearing stresses in a beam of narrow rectangular cross-section -- 10.3 Beam of any cross-section having one axis of symmetry -- 10.4 Shearing stresses in an I-beam -- 10.5 Principal stresses in beams -- 10.6 Superimposed beams -- 10.7 Shearing stresses in a channel section -- shear centre -- Chapter 11. Beams of two materials -- 11.1 Introduction -- 11.2 Transformed sections -- 11.3 Timber beam with reinforcing steel flange plates -- 11.4 Ordinary reinforced concrete -- Chapter 12. Bending stresses and direct stresses combined -- 12.1 Introduction.

12.2 Combined bending and thrust of a stocky strut -- 12.3 Eccentric thrust -- 12.4 Pre-stressed concrete beams -- Chapter 13. Deflections of beams -- 13.1 Introduction -- 13.2 Elastic bending of straight beams -- 13.3 Simply-supported beam carrying a uniformly distributed load -- 13.4 Cantilever with a concentrated load -- 13.5 Cantilever with a uniformly distributed load -- 13.6 Propped cantilever with distributed load -- 13.7 Simply-supported beam carrying a concentrated lateral load -- 13.8 Macaulay's method -- 13.9 Simply-supported beam with distributed load over a portion of the span -- 13.10 Simply-supported beam with a couple applied at an intermediate point -- 13.11 Beam with end couples and distributed load -- 13.12 Beams with non-uniformly distributed load -- 13.13 Cantilever With irregular loading -- 13.14 Beams of varying section -- 13.15 Non-uniformly distributed load and terminal couples -- the method of moment-areas -- 13.16 Deflections of beams due to shear -- Chapter 14. Built-in and continuous beams -- 14.1 Introduction -- 14.2 Built-in beam with a single concentrated load -- 14.3 Fixed-end moments for other loading conditions -- 14.4 Disadvantages of built-in beams -- 14.5 Effect of sinking of supports -- 14.6 Continuous beam -- 14.7 Slope-deflection equations for a single beam -- Chapter 15. Plastic bending of mild-steel beams -- 15.1 Introduction -- 15.2 Beam of rectangular cross-section -- 15.3 Elastic-plastic bending of a rectangular mild-steel beam -- 15.4 Fully plastic moment of an I-section -- shape factor -- 15.5 More general case of plastic bending -- 15.6 Comparison of elastic and plastic section moduli -- 15.7 Regions of plasticity in a simply-supported beam -- 15.8 Plastic collapse of a built-in beam -- Chapter 16. Torsion of circular shafts and thin-walled tubes -- 16.1 Introduction.

16.2 Torsion of a thin circular tube -- 16.3 Torsion of solid circular shafts -- 16.4 Torsion of a hollow circular shaft -- 16.5 Principal stresses in a twisted shaft -- 16.6 Torsion combined with thrust or tension -- 16.7 Strain energy of elastic torsion -- 16.8 Plastic torsion of a circular shaft -- 16.9 Torsion of thin tubes of non-circular cross-section -- 16.10 Torsion of a fiat rectangular strip -- 16.11 Torsion of thin-walled open sections -- Chapter 17. Energy methods -- 17.1 Introduction -- 17.2 Principle of virtual work -- 17.3 Deflections of beams -- 17.4 Statically indeterminate beam problems -- 17.5 Plastic bending of mild-steel beams -- 17.6 Plastic design of frameworks -- 17.7 Complementary energy -- 17.8 Complementary energy in problems of bending -- 17.9 The Raleigh-Ritz method -- Chapter 18. Buckling of columns and beams -- 18.1 Introduction -- 18.2 Flexural buckling of a pin-ended strut -- 18.3 Rankine-Gordon formula -- 18.4 Effects of geometrical imperfections -- 18.5 Effective lengths of struts -- 18.6 Pin-ended strut with eccentric end thrusts -- 18.7 Initially curved pin-ended strut -- 18.8 Design of pin-ended struts -- 18.9 Strut with uniformly distributed lateral loading -- 18.10 Buckling of a strut with built-in ends -- 18.11 Buckling of a strut with one end fixed and the other end free -- 18.12 Buckling of a strut with one end pinned and the other end fixed -- 18.13 Flexural buckling of struts with other cross-sectional forms -- 18.14 Torsional buckling of a cruciform strut -- 18.15 Modes of buckling of a cruciform strut -- 18.16 Lateral buckling of a narrow beam -- Chapter 19. Lateral deflections of circular plates -- 19.1 Introduction -- 19.2 Plate differential equation, based on small deflection elastic theory -- 19.3 Large deflections of plates -- 19.4 Shear deflections of very thick plates.

Chapter 20. Torsion of non-circular sections.