Basic Stress Analysis

PrefacePrincipal Stress Analysis Notation1 Introduction to Basic 1.1 The Basic Approach 1.2 The Elements of Basic 1.3 Checking Programs 1.4 Different Computers and Variants of Basic 1.5 Summary of Basic Statements 1.6 Bibliography2 Introduction to Stress Analysis 2.1 The Nature of Stress Analysis 2.2 The Aims of Stress Analysis 2.3 The Principles of Stress Analysis 2.4 Units 2.5 The Scope of this Book 2.6 References3 Direct Stress and Strain Essential Theory 3.1 Direct Stress 3.2 Direct Strain 3.3 Stress—Strain Relationships 3.4 Poisson's Ratio 3.5 Hooke's Law in Three Dimensions 3.6 Strain Energy 3.7 Temperature Stresses 3.8 Compound Bars Worked Examples 3.1 Direct Stress 3.2 Young's Modulus from Tensile Test 3.3 Design of Tensile Members Using Preferred Sizes 3.4 Impact Loading 3.5 Materials Comparison Problems4 Shear and Torsion Essential Theory 4.1 Shear Stress 4.2 Shear Strain 4.3 Stress—Strain Relations 4.4 Relationship between Elastic Constants 4.5 Torsion of Circular Shafts Worked Examples 4.1 Pressure Vessel Safety Valve Design 4.2 Simple Riveted Joint Analysis 4.3 Relation between Elastic Constants 4.4 Design of Circular Shafts 4.5 Design of Circular Shaft Using Preferred Sizes 4.6 Least Squares Analysis of Torque-Twist Data Problems5 Bending Essential Theory 5.1 Representation of Beams 5.2 Reactions and Fixing Moments 5.3 Shear Force and Bending Moment 5.4 Direct Stresses in Beams 5.5 Shear Stresses in Beams 5.6 Beam Deflections 5.7 Other Aspects of Bending Worked Examples 5.1 Shear Force and Bending Moment Distribution 5.2 Analysis of Simply Supported Beam with Point Load 5.3 Simple Beam Design 5.4 Section Properties of a T Beam 5.5 Shear Stresses in a Symmetrical I Beam 5.6 Slopes and Deflections by Integration Problems6 Complex Stress and Strain Essential Theory 6.1 Combined Bending and Axial Loading 6.2 Complex Stress in Two Dimensions 6.3 Mohr's (Stress) Circle 6.4 Complex Strain in Two Dimensions 6.5 Three-Dimensional Stress Systems Worked Examples 6.1 Manual Iterative Design of a Hollow Box Beam 6.2 Automatic Iterative Design of a simple Beam 6.3 Analysis of Complex Stresses 6.4 Principal Stresses in a Beam 6.5 Strain Gauge Rosette Analysis Problems7 Failure Essential Theory 7.1 Failure Concepts 7.2 Yield Criteria 7.3 Brittle Fracture 7.4 Fracture Mechanics 7.5 Fatigue 7.6 Buckling Worked Examples 7.1 Safety Factors Using Yield Criteria 7.2 Circular Shaft Design 7.3 Fracture Mechanics Parameters 7.4 Cumulative Fatigue Damage 7.5 Buckling Calculations 7.6 Fracture Toughness Test Problems8 Axisymmetric Systems Essential Theory 8.1 Introduction 8.2 Thin-Walled Cylindrical and Spherical Pressure Vessels 8.3 Pressurized Thick-Walled Cylinders 8.4 Compound Cylinders 8.5 Autofrettage 8.6 Rotating Cylinders and Discs Worked Examples 8.1 Design of Thin-Walled Pressure Vessel 8.2 Vessel Design for Torsion and Internal Pressure 8.3 Thick Cylinder Stress Distribution 8.4 Experimental Thick Cylinder Measurements 8.5 Stress Distribution in a Compound Cylinder ProblemsIndex