Front Cover -- Mechanics of Materials 1 -- Copyright Page -- Contents -- Introduction -- Notation -- Chapter 1. Simple Stress and Strain -- 1.1 Load -- 1.2 Direct or normal stress ( σ ) -- 1.3 Direct strain ( ε ) -- 1.4 Sign convention for direct stress and strain -- 1.5 Elastic materials - Hooke's law -- 1.6 Modulus of elasticity - Young's modulus -- 1.7 Tensile test -- 1.8 Ductile materials -- 1.9 Brittle materials -- 1.10 Poisson's ratio -- 1.11 Application of Poisson's ratio to a two-dimensional stress system -- 1.12 Shear stress -- 1.13 Shear strain -- 1.14 Modulus of rioidity -- 1.15 Double shear -- 1.16 Allowable workino stress - factor of safety -- 1.17 Load factor -- 1.18 Temperature stresses -- 1.19 Stress concentrations - stress concentration factor -- 1.20 Toughness -- 1.21 Creep and fatigue -- Examples -- Problems -- Bibliography -- Chapter 2. Compound Bars -- Summary -- 2.1 Compound bars subjected to external load -- 2.2 Compound bars- "equivalent" or "combined" modulus -- 2.3 Compound bars subjected to temperature change -- 2.4 Compound bar (tube and rod) -- 2.5 Compound bars subjected to external load and temperature effects -- 2.6 Compound thick cylinders subjected to temperature changes -- Examples -- Problems -- Chapter 3. Shearing Force and Bending Moment Diagrams -- Summary -- 3.1 Shearing force and bending moment -- 3.2 S.F. and B.M. diagrams for beams carrying concentrated loads only -- 3.3 S.F and B.M. diagrams for uniformly distributed loads -- 3.4 S.F. and B.M. diagrams for combined concentrated and uniformly distributed loads -- 3.5 Points of contraflexure -- 3.6 Relationship between S.F. Q, B.M. M, and intensity of loading w -- 3.7 S.F. and B.M. diagrams for an applied couple or moment -- 3.8 S.F. and B.M. diagrams for inclined loads -- 3.9 Graphical construction of S.F and B.M. diagrams.

3.10 S.F. and B.M. diagrams for beams carrying distributed loads of increasing value -- 3.11 S.F. at points of application of concentrated loads -- Examples -- Problems -- Chapter 4. Bending -- Summary -- Introduction -- 4.1 Simple bending theory -- 4.2 Neutral axis -- 4.3 Section modulus -- 4.4 Second moment of area -- 4.5 Bending of composite or flitched beams -- 4.6 Reinforced concrete beams - simple tension reinforcement -- 4.7 Skew loading -- 4.8 Combined bending and direct stress-eccentric loading -- 4.9 "Middle-quarter" and "middle-third" rules -- 4.10 Shear stresses owing to bending -- 4.11 Strain energy in bending -- 4.12 Limitations of the simple bending theory -- Examples -- Problems -- Chapter 5. Slope and Deflection of Beams -- Summary -- Introduction -- 5.1 Relationship between loading, S.F., B.M., slope and deflection -- 5.2 Direct integration method -- 5.3 Macaulay's method -- 5.4 Macaulay's method for u.d.l's -- 5.5 Macaulay's method for beams with u.d.l, applied over part of the beam -- 5.6 Macaulay's method for couple applied at a point -- 5.7 Mohr 's "area-moment" method -- 5.8 Principle of superposition -- 5.9 Energy method -- 5.10 Maxwell 's theorem of reciprocal displacements -- 5.11 Continuous beams - Clapeyron 's "three-moment" equation -- 5.12 Finite difference method -- 5.13 Deflections due to temperature effects -- Examples -- Problems -- Chapter 6. Built-in Beams -- Summary -- Introduction -- 6.1 Built-in beam carrying central concentrated load -- 6.2 Built-in beam carrying uniformly distributed load across the span -- 6.3 Built-in beam carrying concentrated load offset from the centre -- 6.4 Built-in beam carrying a non-uniform distributed load -- 6.5 Advantages and disadvantages of built-in beams -- 6.6 Effect of movement of supports -- Examples -- Problems -- Chapter 7. Shear Stress Distribution -- Summary.

Introduction -- 7.1 Distribution of shear stress due to bending -- 7.2 Application to rectangular sections -- 7.3 Application to I-section beams -- 7.4 Application to circular sections -- 7.5 Limitation of shear stress distribution theory -- 7.6 Shear centre -- Examples -- Problems -- Chapter 8. Torsion -- Summary -- 8.1 Simple torsion theory -- 8.2 Polar second moment of area -- 8.3 Shear stress and shear strain in shafts -- 8.4 Section modulus -- 8.5 Torsional rigidity -- 8.6 Torsion of hollow shafts -- 8.7 Torsion of thin-walled tubes -- 8.8 Composite shafts-series connection -- 8.9 Composite shafts-parallel connection -- 8.10 Principal stresses -- 8.11 Strain energy in torsion -- 8.12 Variation of data along shaft length-torsion of tapered shafts -- 8.13 Power transmitted by shafts -- 8.14 Combined stress systems - combined bending and torsion -- 8.15 Combined bending and torsion-equivalent bending moment -- 8.16 Combined bending and torsion - equivalent torque -- 8.17 Combined bending, torsion and direct thrust -- 8.18 Combined bending, torque and internal pressure -- Examples -- Problems -- Chapter 9. Thin Cylinders and Shells -- Summary -- 9.1 Thin cylinders under internal pressure -- 9.2 Thin rotating ring or cylinder -- 9.3 Thin spherical shell under internal pressure -- 9.4 Vessels subjected to fluid pressure -- 9.5 Cylindrical vessel with hemispherical ends -- 9.6 Effects of end plates and joints -- 9.7 Wire-wound thin cylinders -- Examples -- Problems -- Chapter 10. Thick cylinders -- Summary -- 10.1 Difference in treatment between thin and thick cylinders - basic assumptions -- 10.2 Development of the Lamé theory -- 10.3 Thick cylinder - internal pressure only -- 10.4 Longitudinal stress -- 10.5 Maximum shear stress -- 10.6 Change of cylinder dimensions -- 10.7 Comparison with thin cylinder theory -- 10.8 Graphical treatment - Lamé line.

10.9 Compound cylinders -- 10.10 Compound cylinders - graphical treatment -- 10.11 Shrinkage or interference allowance -- 10.12 Hub on solid shaft -- 10.13 Force fits -- 10.14 Compound cylinder - different materials -- 10.15 Uniform heating of compound cylinders of different materials -- 10.16 Failure theories - yield criteria -- 10.17 Plastic yielding - "auto-frettage" -- 10.18 Wire-wound thick cylinders -- Examples -- Problems -- Chapter 11. Strain Energy -- Summary -- Introduction -- 11.1 Strain energy - tension or compression -- 11.2 Strainenergy-shear -- 11.3 Strain energy - bending -- 11.4 Strain energy - torsion -- 11.5 Strain energy of a three.dimensional principal stress system -- 11.6 Volumetric or dilatational strain energy -- 11.7 Shear or distortional strain energy -- 11.8 Suddenly applied loads -- 11.9 Impact loads-axial load application -- 11.10 Impact loads - bending applications -- 11.11 Castigliano's first theorem for deflection -- 11.12 "Unit-load" method -- 11.13 Application of Castigliano's theorem to angular movements -- 11.14 Shear deflection -- Examples -- Problems -- Chapter 12. Springs -- Summary -- Introduction -- 12.1 Close-coiled helical spring subjected to axial load W -- 12.2 Close-coiled helical spring subjected to axial torque T -- 12.3 Open-coiled helical spring subjected to axial load W -- 12.4 Open-coiled helical spring subjected to axial torque T -- 12.5 Springs in series -- 12.6 Springs in parallel -- 12.7 Limitations of the simple theory -- 12.8 Extension springs - initial tension -- 12.9 Allowable stresses -- 12.10 Leaf or carriage spring: semi-elliptic -- 12.11 Leaf or carriage spring: quarter-elliptic -- 12.12 Spiral spring -- Examples -- Problems -- Chapter 13. Complex Stresses -- Summary -- 13.1 Stresses on oblique planes -- 13.2 Material subjected to pure shear.

13.3 Material subjected to two mutually perpendicular direct stresses -- 13.4 Material subjected to combined direct and shear stresses -- 13.5 Principal plane inclination in terms of the associated principal stress -- 13.6 Graphical solution - Mohr's stress circle -- 13.7 Alternative representations of stress distributions at a point -- 13.8 Three-dimensional stresses-graphical representation -- Examples -- Problems -- Chapter 14. Complex Strain and the Elastic Constants -- Summary -- 14.1 Linear strain for tri-axial stress state -- 14.2 Principal strains in terms of stresses -- 14.3 Principal stresses in terms of strains - two-dimensional stress system -- 14.4 Bulk modulus K -- 14.5 Volumetric strain -- 14.6 Volumetric strain for unequal stresses -- 14.7 Change in volume of circular bar -- 14.8 Effect of lateral restraint -- 14.9 Relationship between the elastic constants E, G, K and v -- 14.10 Strains on an oblique plane -- 14.11 Principal strain - Mohr's strain circle -- 14.12 Mohr's strain circle - alternative derivation from the general stress equations -- 14.13 Relationship between Mohr's stress and strain circles -- 14.14 Construction of strain circle from three known strains (McClintock method) -rosette analysis -- 14.15 Analytical determination of principal strains from rosette readings -- 14.16 Alternative representations of strain distributions at a point -- 14.17 Strain energy of three-dimensional stress system -- Examples -- Problems -- Chapter 15. Theories of Elastic Failure -- Summary -- Introduction -- 15.1 Maximum principal stress theory -- 15.2 Maximum shear stress theory -- 15.3 Maximum principal strain theory -- 15.4 Maximum total strain eneroy per unit volume theory -- 15.5 Maximum shear strain energy per unit volume (or distortion energy) theory -- 15.6 Mohr's modified shear stress theory for brittle materials.

15.7 Graphical representation of failure theories for two-dimensional stress systems (one principal stress zero).