Front Cover -- Mechanics of Materials 2 -- Copyright Page -- Contents -- Introduction -- Notation -- Chapter 1. Unsymmetrical Bending -- Summary -- Introduction -- 1.1 Product second moment of area -- 1.2 Principal second moments of area -- 1.3 Mohr's circle of second moments of area -- 1.4 Land's circle of second moments of area -- 1.5 Rotation of axes: determination of moments of area in terms of the principal values -- 1.6 The ellipse of second moments of area -- 1.7 Momenta1 ellipse -- 1.8 Stress determination -- 1.9 Alternative procedure for stress determination -- 1.10 Alternative procedure using the momental ellipse -- 1.11 Deflections -- Examples -- Problems -- Chapter 2. Struts -- Summary -- Introduction -- 2.1 Euler's theory -- 2.2 Equivalent strut length -- 2.3 Comparison of Euler theory with experimental results -- 2.4 Euler "validity limit" -- 2.5 Rankine or Rankine-Gordon formula -- 2.6 Perry-Robertson formula -- 2.7 British Standard procedure (BS 449) -- 2.8 Struts with initial curvature -- 2.9. Struts with eccentric load -- 2.10 Laterally loaded struts -- 2.11 Alternative procedure for any strut-loading condition -- 2.12 Struts with unsymmetrical cross-section -- Examples -- Problems -- Chapter 3. Strains Beyond the Elastic Limit -- Summary -- Introduction -- 3.1 Plastic bending of rectangular-sectioned beams -- 3.2 Shape factor - symmetrical sections -- 3.3 Application to I-section beams -- 3.4 Partially plastic bending of unsymmetrical sections -- 3.5 Shape factor - unsymmetrical sections -- 3.6 Deflections of partially plastic beams -- 3.7 Length of yielded area in beams -- 3.8 Collapse loads - plastic limit design -- 3.9 Residual stresses after yielding: elastic-perfectly plastic material -- 3.10 Torsion of shafts beyond the elastic limit - plastic torsion -- 3.11 Angles of twist of shafts strained beyond the elastic limit.

3.12 Plastic torsion of hollow tubes -- 3.13 Plastic torsion of case-hardened shafts -- 3.14 Residual stresses after yield in torsion -- 3.15 Plastic bending and torsion of strain-hardening materials -- 3.16 Residual stresses - strain-hardening materials -- 3.17 Influence of residual stresses on bending and torsional strengths -- 3.18 Plastic yielding in the eccentric loadirig of rectangular sections -- 3.19 Plastic yielding and residual stresses under axial loading with stress concentrations -- 3.20 Plastic yielding of axially symmetric components -- Examples -- Problems -- Chapter 4. Rings, Discs and Cylinders Subjected to Rotation and Thermal Gradients -- Summary -- 4.1 Thin rotating ring or cylinder -- 4.2 Rotating solid disc -- 4.3 Rotating disc with a central hole -- 4.4 Rotating thick cylinders or solid shafts -- 4.5 Rotating disc of uniform strength -- 4.6 Combined rotational and thermal stresses in uniform discs and thick cylinders -- Examples -- Problems -- Chapter 5. Torsion of Non-Circular and Thin-Walled Sections -- Summary -- 5.1 Rectangular sections -- 5.2 Narrow rectangular sections -- 5.3 Thin-walled open sections -- 5.4 Thin-walled split tube -- 5.5 Other solid (non-tubular) shafts -- 5.6 Thin-walled closed tubes of non-circular section (Bredt-Batho theory) -- 5.7 Use of "equivalent J " for torsion of non-circular sections -- 5.8 Thin-walled cellular sections -- 5.9 Torsion of thin-walled stiffened sections -- 5.10 Membrane analogy -- 5.11 Effect of warping of open sections -- Examples Problems -- Problems -- Chapter 6. Experimental Stress Analysis -- Introduction -- 6.1 Brittle lacquers -- 6.2 Strain gauges -- 6.3 Unbalanced bridge circuit -- 6.4 Null balance or balanced bridge circuit -- 6.5 Gauge construction -- 6.6 Gauge selection -- 6.7 Temperature compensation -- 6.8 Installation procedure -- 6.9 Basic measurement systems.

6.10 D.C. and A.C. systems -- 6.11 Other types of strain gauge -- 6.12 Photoelasticity -- 6.13 Plane-polarised light - basic polariscope arrangements -- 6.14 Temporary birefringence -- 6.15 Production of fringe patterns -- 6.16 Interpretation of fringe patterns -- 6.17 Calibration -- 6.18 Fractional fringe order determination - compensation techniques -- 6.19 Isoclinics-circular polarisation -- 6.20 Stress separation procedures -- 6.21 Three-dimensional photoelasticity -- 6.22 Rejective coating technique -- 6.23 Other methods of strain measurement -- Bibliography -- Chapter 7. Circular Plates and Diaphragms -- Summary -- A. CIRCULAR PLATES -- 7.1 Stresses -- 7.2 Bending moments -- 7.3 General equation for slope and deflection -- 7.4 General case of a circular plate or diaphragm subjected to combined uniformly distributed load q (pressure) and central concentrated load F -- 7.5 Uniformly loaded circular plate with edges clamped -- 7.6 Uniformly loaded circular plate with edges freely supported -- 7.7 Circular plate with central concentrated load F and edges clamped -- 7.8 Circular plate with central concentrated load F and edges freely supported -- 7.9 Circular plate subjected to a load F distributed round a circle -- 7.10 Application to the loading of annular rings -- 7.11 Summary of end conditions -- 7.12 Stress distributions in circular plates and diaphragms subjected to lateml pressures -- 7.13 Discussion of results - limitations of theory -- 7.14 Other loading cases of practical importance -- B. BENDING OF RECTANGULAR PLATES -- 7.15 Rectangular plates with simply supported edges carrying uniformly distributed loads -- 7.16 Rectangular plates with clamped edges carrying uniformly distributed loads -- Examples -- Problems -- Chapter 8. Introduction to Advanced Elasticity Theory -- 8.1 Types of stress.

8.2 The cartesian stress components: notation and sign convention -- 8.3 The state of stress at a point -- 8.4 Direct, shear and resultant stresses on an oblique plane -- 8.5 Principal stresses and strains in three dimensions - Mohr's circle representation -- 8.6 Graphical determination of the direction of the shear stress tn on an inclined plane in a three-dimensional principal stress system -- 8.7. The combined Mohr diagram for three-dimensional stress and strain systems -- 8.8 Application of the combined circle to two-dimensional stress systems -- 8.9 Graphical construction for the state of stress at a point -- 8.10 Construction for the state of strain on a general strain plane -- 8.11 State of stress-tensor notation -- 8.12 The stress equations of equilibrium -- 8.13 Principal stresses in a three-dimensional cartesian stress system -- 8.14 Stress invariants - Eigen values and Eigen vectors -- 8.15 Stress invariants -- 8.16 Reduced stresses -- 8.17 Strain invariants -- 8.18 Alternative procedure for determination of principal stresses -- 8.19 Octahedral planes and stresses -- 8.20 Deviatoric stresses -- 8.21 Deviatoric strains -- 8.22 Plane stress and plane strain -- 8.23 The stress-strain relations -- 8.24 The strain-displacement relationships -- 8.25 The strain equations of transformation -- 8.26 Compatibility -- 8.27 The stress function concept -- Examples -- Problems -- Chapter 9. Introduction to the Finite Element Method -- Introduction -- 9.1 Basis of the finite element method -- 9.2 Applicability of the finite element method -- 9.3 Formulation of the finite element method -- 9.4 General procedure of the finite element method -- 9.5 Fundamental arguments -- 9.6 The principle of virtual work -- 9.7 A rod element -- 9.8 A simple beam element -- 9.9 A simple triangular plane membrane element.

9.10 Formation of assembled stiffness matrix by use of a dof. correspondence table -- 9.11 Application of boundary conditions and partitioning -- 9.12 Solution for displacements and reactions -- Bibliography -- Examples -- Problems -- Chapter 10. Contact Stress, Residual Stress and Stress Concentrations -- Summary -- 10.1 Contact stresses -- 10.2 Residual stresses -- 10.3 Stress concentrations -- References -- Examples -- Problems -- Chapter 11. Fatigue, Creep and Fracture -- Summary -- 11.1 Fatigue -- 11.2 Creep -- 11.3 Fracture mechanics -- References -- Examples -- Problems -- Chapter 12. Miscellaneous topics -- 12.1 Bending of beams with initial curvature -- 12.2 Bending of wide beams -- 12.3 General expression for stresses in thin-walled shells subjected to pressure or self-weight -- 12.4 Bending stresses at discontinuities in thin shells -- 12.5 Viscoelasticity -- References -- Examples -- Problems -- Appendix 1. Typical mechanical and physical properties for engineering metals -- Appendix 2. Typical mechanical properties of non-metals -- Appendix 3. Other properties of non-metals -- Index.