Dedication

Preface to the First Edition

Preface to the Second Edition

Preface to the Third Edition

Chapter 1. Introduction

1.1 Function of a structure

1.2 Loads

1.3 Structural systems

1.4 Support systems

1.5 Statically determinate and indeterminate structures

1.6 Analysis and design

1.7 Structural and load idealization

1.8 Structural elements

1.9 Materials of construction

1.10 The use of computers

Chapter 2. Principles of Statics

2.1 Force

2.2 Moment of a force

2.3 The resultant of a system of parallel forces

2.4 Equilibrium of force systems

2.5 Calculation of support reactions

Problems

Solutions to Chapter 2 Problems

Chapter 3. Normal Force, Shear Force, Bending Moment and Torsion

3.1 Types of load

3.2 Notation and sign convention

3.3 Normal force

3.4 Shear force and bending moment

3.5 Load, shear force and bending moment relationships

3.6 Torsion

3.7 Principle of superposition

Problems

Solutions to Chapter 3 Problems

Chapter 4. Analysis of Pin-Jointed Trusses

4.1 Types of truss

4.2 Assumptions in truss analysis

4.3 Idealization of a truss

4.4 Statical determinacy

4.5 Resistance of a truss to shear force and bending moment

4.6 Method of joints

4.7 Method of sections

4.8 Method of tension coefficients

4.9 Graphical method of solution

4.10 Compound trusses

4.11 Space trusses

4.12 A computer-based approach

Problems

Solutions to Chapter 4 Problems

Chapter 5. Cables

5.1 Lightweight cables carrying concentrated loads

5.2 Heavy cables

Problems

Solutions to Chapter 5 Problems

Chapter 6. Arches

6.1 The linear arch

6.2 The three-pinned arch

6.3 A three-pinned parabolic arch carrying a uniform horizontally distributed load

6.4 Bending moment diagram for a three-pinned arch

Problems

Solutions to Chapter 6 Problems

Chapter 7. Stress and Strain

7.1 Direct stress in tension and compression

7.2 Shear stress in shear and torsion

7.3 Complementary shear stress

7.4 Direct strain

7.5 Shear strain

7.6 Volumetric strain due to hydrostatic pressure

7.7 Stress–strain relationships

7.8 Poisson effect

7.9 Relationships between the elastic constants

7.10 Strain energy in simple tension or compression

7.11 Plane stress

7.12 Plane strain

Problems

Solutions to Chapter 7 Problems

Chapter 8. Properties of Engineering Materials

8.1 Classification of engineering materials

8.2 Testing of engineering materials

8.3 Stress–strain curves

8.4 Strain hardening

8.5 Creep and relaxation

8.6 Fatigue

8.7 Design methods

8.8 Material properties

Problems

Solutions to Chapter 8 Problems

Chapter 9. Bending of Beams

9.1 Symmetrical bending

9.2 Combined bending and axial load

9.3 Anticlastic bending

9.4 Strain energy in bending

9.5 Unsymmetrical bending

9.6 Calculation of section properties

9.7 Principal axes and principal second moments of area

9.8 Effect of shear forces on the theory of bending

9.9 Load, shear force and bending moment relationships, general case

Problems

Solutions to Chapter 9 Problems

Chapter 10. Shear of Beams

10.1 Shear stress distribution in a beam of unsymmetrical section

10.2 Shear stress distribution in symmetrical sections

10.3 Strain energy due to shear

10.4 Shear stress distribution in thin-walled open section beams

10.5 Shear stress distribution in thin-walled closed section beams

Problems

Solutions to Chapter 10 Problems

Chapter 11. Torsion of Beams

11.1 Torsion of solid and hollow circular section bars

11.2 Strain energy due to torsion

11.3 Plastic torsion of circular section bars

11.4 Torsion of a thin-walled closed section beam

11.5 Torsion of solid section beams

11.6 Warping of cross sections under torsion

Problems

Solutions to Chapter 11 Problems

Chapter 12. Composite Beams

12.1 Steel-reinforced timber beams

12.2 Reinforced concrete beams

12.3 Steel and concrete beams

Problems

Solutions to Chapter 12 Problems

Chapter 13. Deflection of Beams

13.1 Differential equation of symmetrical bending

13.2 Singularity functions

13.3 Moment-area method for symmetrical bending

13.4 Deflections due to unsymmetrical bending

13.5 Deflection due to shear

13.6 Statically indeterminate beams

Problems

Solutions to Chapter 13 Problems

Chapter 14. Complex Stress and Strain

14.1 Representation of stress at a point

14.2 Determination of stresses on inclined planes

14.3 Principal stresses

14.4 Mohr’s circle of stress

14.5 Stress trajectories

14.6 Determination of strains on inclined planes

14.7 Principal strains

14.8 Mohr’s circle of strain

14.9 Experimental measurement of surface strains and stresses

14.10 Theories of elastic failure

Problems

Solutions to Chapter 14 Problems

Chapter 15. Virtual Work and Energy Methods

15.1 Work

15.2 Principle of virtual work

15.3 Energy methods

15.4 Reciprocal theorems

Problems

Solutions to Chapter 15 Problems

Chapter 16. Analysis of Statically Indeterminate Structures

16.1 Flexibility and stiffness methods

16.2 Degree of statical indeterminacy

16.3 Kinematic indeterminacy

16.4 Statically indeterminate beams

16.5 Statically indeterminate trusses

16.6 Braced beams

16.7 Portal frames

16.8 Two-pinned arches

16.9 Slope–deflection method

16.10 Moment distribution

16.11 Portal frames

Problems

Solutions to Chapter 16 Problems

Chapter 17. Matrix Methods of Analysis

17.1 Axially loaded members

17.2 Stiffness matrix for a uniform beam

17.3 Finite element method for continuum structures

Problems

Solutions to Chapter 17 Problems

Chapter 18. Plastic Analysis of Beams and Frames

18.1 Theorems of plastic analysis

18.2 Plastic analysis of beams

18.3 Plastic analysis of frames

Problems

Solutions to Chapter 18 Problems

Chapter 19. Yield Line Analysis of Slabs

19.1 Yield line theory

19.2 Discussion

Problems

Solutions to Chapter 19 Problems

Chapter 20. Influence Lines

20.1 Influence lines for beams in contact with the load

20.2 Mueller-Breslau principle

20.3 Systems of travelling loads

20.4 Influence lines for beams not in contact with the load

20.5 Forces in the members of a truss

20.6 Influence lines for continuous beams

Problems

Solutions to Chapter 20 Problems

Chapter 21. Structural Instability

21.1 Euler theory for slender columns

21.2 Limitations of the Euler theory

21.3 Failure of columns of any length

21.4 Effect of cross section on the buckling of columns

21.5 Stability of beams under transverse and axial loads

21.6 Energy method for the calculation of buckling loads in columns (Rayleigh–Ritz Method)

Problems

Solutions to Chapter 21 Problems

Appendix A. Table of Section Properties

Appendix B. Bending of Beams: Standard Cases

Index