Mechanics of Solids

Description

Cover Preface to the Second Edition Preface to the First Edition Contents About the Author Chapter 1: Analysis of Stress 1.1 Introduction 1.2 Classification of Load 1.3 Stress 1.4 Concept of Stress at a Point 1.5 State of Plane Stress 1.6 Principal Stresses 1.7 Mohr’s Circle 1.8 Stress Concentration Problems Objective Questions Answers Chapter 2: Analysis of Strain 2.1 Concept of Strain 2.2 Direct and Shearing Strain 2.2.1 Shearing Strain 2.3 State of Strain at a Point 2.4 State of Plane Strain 2.5 Strain Gauge 2.6 Strain Gauge Application Problems Objective Questions Answers Chapter 3: Stress–Strain Relationship 3.1 Hooke’s Law 3.2 Three Dimensional Hooke’s Law 3.3 Stress-Strain Relationships for Plane Stress 3.4 Stress-Strain Relationships for Plane Strain 3.5 Bulk Modulus 3.6 Relation Between E and G 3.7 Generalized Hooke’s Law 3.8 Relationship Among Elastic Constants for an Isotropic Homogeneous Elastic Material Problems Objective Questions Answers Chapter 4: Axial Loading 4.1 Introduction 4.2 Stress and Strain Under Axial Load 4.3 Static Properties of Materials 4.4 Elastic Stress–Strain Relationship 4.5 Mechanical Strengths 4.6 Strain Hardening 4.7 Yielding, Yield Strength and Proof Stress 4.8 Fracture Mode 4.9 Strain Energy 4.10 Resilience and Toughness 4.11 Deformation of Axially Loaded Members 4.12 Bars of Varying Cross-Section 4.13 Factor of Safety 4.14 Temperature Effects 4.15 Statically Indeterminate Axially Loaded Members 4.16 Composite Bars Problems Objective Questions Answers Chapter 5: Thin-Walled Pressure Vessels 5.1 Introduction 5.2 Stresses in Thin Cylinders 5.3 Strain and Change in Volume 5.4 Strengthening of Thin Cylinders 5.4.1 Strapped Cylinder 5.4.2 Wire Winding 5.4.3 Laminated Cylinder 5.5 Joints in Cylinders 5.6 Thin Spherical Shell 5.7 Volume Change in Spherical Shell Problems Objective Questions Answers Chapter 6: Torsion 6.1 Torsional Shearing Stress and Strain 6.1.1 Torsional Displacements 6.1.2 Shearing Stress 6.2 State of Stress at a Point in a Shaft 6.3 Power Transmission 6.4 Composite Shafts-Series Connection 6.5 Statically Indeterminate Torsion Members 6.6 Strain Energy in Torsion 6.7 Torsion of Thin Walled Tubes 6.7.1 Angle of Twist for thin Walled Member 6.8 Torsion of a Tapered Shaft 6.9 Combined Axial and Torsional Load 6.10 Flanged Coupling Problems Objective Questions Answers Chapter 7: Beams and Bending—Shear Force and Bending Moment 7.1 Classification of Beams 7.2 Shear Force and Bending Moment in a Beam 7.3 Concept of Bending Stress 7.4 Signs for Shearing Force and Bending Moment 7.5 Shearing Force and Bending Moment Equations 7.6 Shear Force and Bending Moment Diagrams 7.7 Relationships between Loading Rate, Shear Force and Bending Moment Problems Objective Questions Answers Chapter 8: Beams and Bending-Stresses 8.1 Simple Bending Theory 8.1.1 Flexural Strain 8.1.2 Flexural Stress 8.2 Moment of Inertia of Section 8.2.1 Rectangular Section 8.2.2 I and T-Sections 8.2.3 Circular Section 8.3 Shearing Stress in Beams 8.4 Distribution of Shearing Stress 8.4.1 Application to Rectangular Section 8.4.2 Application to I-Section 8.5 Composite Beams 8.5.1 Reinforced-Concrete Beams Problems Objective Questions Answers Chapter 9: Deflection of Beams 9.1 Introduction 9.2 Equation to Elastic Curve 9.3 A Cantilever Beam 9.4 A Simply Supported Beam 9.5 Rate of Loading and Elastic Curve 9.6 Macaulay’s Method 9.7 A Couple Acting Upon A Simply Supported Beam Problems Objective Questions Answers Chapter 10: Beam Deflection—Moment Area Method 10.1 Slope and Deflection from Bending Moment Diagram 10.2 Parts of BM Diagrams 10.3 Statically Indeterminate Beams 10.4 Fixed Beams 10.4.1 A Fixed Beam Under UDL 10.5 A Fixed Beam with Sinking Supports 10.6 BM Diagram for a Fixed Beam 10.7 Maximum Deflection 10.8 Continuous Beam 10.9 Advantages and Disadvantages Problems Objective Questions Answers Chapter 11: Strain Energy 11.1 Strain Energy due to Normal Stresses 11.2 Strain Energy due to Shearing Stress 11.3 Strain Energy under General State of Stress 11.4 Strain Energy due to Distortion 11.5 Strain Energy in Tension 11.6 Strain Energy of a Beam 11.7 Strain Energy in Torsion 11.8 Castigliano’s Theorem 11.9 Tension due to Impact Load 11.10 Theories of Failure 11.11 Maximum principal stress theory 11.12. Maximum principal strain theory 11.13 Maximum Shearing Stress Theory 11.14 Strain energy theory 11.15 Distortion Energy Theory Problems Objective Questions Answers Chapter 12: Springs 12.1 Introduction 12.2 Close-Coiled Helical Spring–Axial Load Stress 12.3 Close-Coiled Helical Spring–Axial Torque 12.4 Strain Energy 12.5 Combination of Springs 12.6 Open Coiled Helical Spring 12.7 Laminated Spring 12.8 Flat Spiral Spring Problems Objective Questions Answers Chapter 13: Columns and Struts 13.1 Introduction` 13.2 Combined Bending and Direct Stress 13.3 Rectangular Section—Middle Third Rule 13.4 Middle Quarter Rule for Circular Section 13.5 Strut with Both Ends Pinned or Pivoted 13.6 Strut Fixed at One End and Free at the Other 13.7 Strut with One End Fixed and Other Pinned 13.8 Strut Fixed at Both Ends (Ends Direction Fixed) 13.9 Euler Theory and Experimental Results 13.10 Rankine-Gordon Formula 13.11 Other Formulae 13.12 A Strut with Eccentric Load 13.13 Laterally Loaded Struts Problems Objective Questions Answers Chapter 14: Thick Cylinders and Spheres 14.1 Stresses in Thick Cylinders 14.2 Lame’s Equations 14.3 Special Case of Solid Shaft 14.4 Strains and Displacements, Compound Cylinders 14.5 Thick Spherical Shells Problems Objective Questions Answers Chapter 15: Rotating Rings, Discs and Cylinders 15.1 Rotating Ring 15.2 Rotating Disc 15.3 Special Cases of Rotating Disc 15.4 Disc of Uniform Strength 15.5 Rotating Cylinder 15.6 Axial Stress in Rotating Cylinder-Hollow Cylinder 15.7 Axial Stress in Solid Rotating Cylinder Problems Objective Questions Answers Chapter 16: Curved Beams 16.1 Introduction 16.2 Stresses in Curved Beams 16.3 Determination of Eccentricity 16.4 Rings Under Load 16.4.1 Deflection of Rings in the Direction of Load 16.4.2 Deflection of Ring Under Transverse Load 16.5 Stresses in Rings 16.6 Chain Link Problems Objective Questions Answer Chapter 17: Vibrations 17.1 Vibrations Types 17.2 Simple Harmonic Motion 17.3 Linear Vibration 17.4 Transverse Vibration 17.4.1 Inertia of the Bar 17.5 Transverse Vibration of a Shaft Under its Own Weight 17.5.1 Several Loads on a Beam 17.6 Torsional Vibration 17.7 Torsional Vibration of Shaft Under Two Rotors 17.8 Helical Spring Under Torsion 17.9 Whirling of Shaft 17.9.1 Shaft Carrying a Single Rotor with Eccentricity Problems Objective Questions Answers Appendix: Theory of Elasticity A-1 Differential Equation of Equilibrium A.2. Solving Equations of Equilibrium A.3 Strain Components A.4. Compatibility Equations A.5 Stress Function Multiple Choice Questions Answers Index