Preface Notation IIntroduction 1.0Introduction 1.1System of units 1.2Conventions and notation 1.2.1Forces and moments 1.2.2Coordinate system 1.2.3Deformations 1.2.4Supports 1.3External forces on a body 1.3.1Direct forces 1.3.2Transverse forces 1.3.3Equilibrium of a body 1.4Internal forces of a body 1.5Free body diagrams 1.6Summary 1Direct stresses 1.0Introduction 1.1Stress 1.2Strain 1.3Hooke's law and Young's modulus 1.4Stress-strain behaviour of materials -1.4.1Mild steel 1.4.2High strength steels 1.4.3Other materials 1.4.4Ductility 1.4.5Elastic and plastic ranges 1.5Factor of safety 1.6Elongation of a bar 1.7Principle of superposition 1.8Members with varying cross section 1.9Compound bars 1.10 Thermal stresses 1.10.1Thermal stresses in simple bars 1.10.2Thermal stresses in compound bars 1.11 Poisson's ratio 1.12 Bulk modulus 1.13 Summary 1.14 Exercises 2Impact loading and strain energy 2.0Introduction 2.1 Impact loading 2.2Work and energy of a system 2.2.1External work 2.2.2Internal work 2.2.3Energy principle 2.3Impact load analysis 2.4Summary 2.5Exercises 3Shear stresses 3.0Introduction 3.1Types of direct shear 3.2Shear stress 3.3Complementary shear 3.4Shear strain 3.5Rigidity modulus 3.6Strain energy 3.7Summary 3.8Exercises 4Stress analysis 4.0Introduction 4.1Conventions and notation 4.1.1Direct stresses 4.1.2Shear stresses 4.1.3Inclination of planes 4.2Simple stress condition 4.3Pure shear stress 4.4Bi-axial stress condition 4.5General stress analysis (combined bi-axial and shear stresses) 4.6Relation between Young's modulus and rigidity modulus 4.7Mohr's stress circle 4.7.1Negative shear stresses < (Ty = ay =0 <0 4.8Summary 4.9Exercises Analysis of beams 5.0Introduction 5.1Types of beams 5.2Loading on beams 5.3Forces on a beam section 5.3.1Shear force and B.M. 5.3.2Convention for S.F. and B.M. 5.3.3Bending moment and S.F. diagrams 5.4Relation between load, S.F. and B.M. 5.4.1Relation between load and S.F. 5.4.2Relation between S.F and B.M. 5.5Summary 5.6Exercises 6Flexural analysis of beams 6.0Introduction 6.1Assumptions of bending theory 6.2Euler-Bernoulli's bending equation 6.3Moment of inertia 6.3.1Theorem of parallel axes 6.3.2Theorem of perpendicular axes 6.4Moments of inertia of arbitrary sections 6.5Section modulus 6.5Beams of uniform strength 6.7Summary 6.8Exercises 7Combined stresses 7.0Introduction 7.1Analysis 7.1.1Eccentricity in one direction 7.1.2Eccentricity in two directions 7.2Kern of a section 7.2.1Rectangular section (middle third rule) 7.2.2Circular section (middle quarter rule) 7.3Summary 7.4Exercises 8Torsional stresses 8.0Introduction 8.1Torsion analysis 8.1.1Assumptions of torsion analysis 8.1.2Torsion equation 8.1.3Polar M.I. 8.1.3.1Solid circular section 8.1.3.2Hollow circular section 8.1.3.3Thin circular tube 8.1.4Longitudinal stresses in shafts 8.2Strain energy in elastic shafts 8.3Combined torsion and bending 8.3.1Solid circular shafts 8.4Compound shafts 8.5 Summary 8.6Exercises Answers to selected problems Glossary References Index