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| Preface | |
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| Foreword | |
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| Material Behaviour | |
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| Tensile test | |
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| Stress-strain diagrams | |
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| Hooke's Law | |
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| Bar Subject to Extension | |
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| The fibre model | |
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| The three basic relationships | |
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| Strain diagram and normal stress diagram | |
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| Normal centre and bar axis | |
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| Mathematical description of the extension problem | |
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| Examples relating to change in length and displacement | |
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| Examples relating to the differential equation for extension | |
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| Formal approach and engineering practice | |
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| Problems | |
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| First moments of area; centroid and normal centre | |
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| Second moments of area | |
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| Thin-walled cross-sections | |
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| Formal approach and engineering practice | |
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| Problems4 Members Subject to Bending and Extension | |
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| The fibre model | |
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| Strain diagram and neutral axis | |
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| The three basic relationships | |
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| Stress formula and stress diagram | |
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| Examples relating to the stress formula for bending with extension | |
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| Section modulus | |
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| Examples of the stress formula related to bending without extension | |
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| General stress formula related to the principal directions | |
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| Core of the cross-section | |
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| Applications related to the core of the cross-section | |
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| Mathematical description of the problem of bending with extension | |
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| Thermal effects | |
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| Notes for the fibre model and summary of the formulas | |
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| Problems | |
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| Shear Forces and Shear Stresses Due to Bending | |
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| Shear forces and shear stresses in longitudinal direction | |
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| Examples relating to shear forces and shear stresses in the longitudinal direction | |
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| Shear stresses on a cross-sectional plane | |
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| Examples relating to the shear stress distribution in a cross-section | |
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| Shear centre | |
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| Other cases of shear | |
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| Summary of the formulas and rules | |
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| Problems | |
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| Bar Subject to Torsion | |
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| Material behaviour in shear | |
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| Torsion of bars with circular cross-section | |
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| Torsion of thin-walled cross-sections | |
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| Numerical examples | |
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| Summary of the formulas | |
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| Problems | |
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| Deformation of Trusses | |
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| The behaviour of a single truss member | |
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| Williot diagram | |
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| Williot diagram with rigid-body rotation | |
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| Williot'Mohr diagram | |
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| Problems | |
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| Deformation Due to Bending | |
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| Direct determination from the moment distribution | |
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| Differential equation for bending | |
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| Forget-me-nots | |
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| Moment area theorems | |
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| Simply supported beams and the M/EI diagram | |
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| Problems9 Unsymmetrical and Inhomogeneous Cross-Sections | |
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| Sketch of the problems and required assumptions | |
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| Kinematic relationships | |
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| Curvature and neutral axis | |
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| Normal force and bending moments ' centre of force | |
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| Constitutive relationships for unsymmetrical and/or inhomogeneous cross-sections | |
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| Plane of loading and plane of curvature ' neutral axis | |
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| The normal centre NC for inhomogeneous cross-sections | |
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| Stresses due to extension and bending ' a straightforward method | |
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| Applications of the straightforward method | |
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| Stresses in the principal coordinate method ' alternative method | |
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| Transformation formulae for the bending stiffness tensor | |
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| Application of the alternative method based on the principal directions | |
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| Displacements due to bending | |
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| Maxwell's reciprocal theorem | |
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| Core of a cross-section | |
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| Thermal effects | |
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| Shear flow and shear stresses in arbitrary cross-sections | |
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| Problems Index | |