The Mechanics of Engineering Structures by Rees, David W.A. -- Read -- Imperial Library of Trantor

Index

Half Title Title Copyright Contents Preface Historical Overview

I Introduction II Units and Conventions III Elasticity IV Structures V Yielding VI Concluding Remarks References

Chapter 1 Properties Of Areas

1.1 Centroid and Moments of Area 1.2 Parallel and Perpendicular Axes 1.3 Principal Second Moments of Area 1.4 Graphical Solution to Iu and Iv 1.5 Matrix Method Exercises

Chapter 2 Static Equilibrium

2.1 Co-Planar, Concurrent Forces 2.2 Co-Planar, Non-Concurrent Forces 2.3 The Free-Body Diagram 2.4 Bar Forces in Plane Frames 2.5 Forces and Moments in Beams Exercises

Chapter 3 Basic Stress And Strain

3.1 Direct Stress and Strain 3.2 Shear Stress and Strain 3.3 Compound Bars 3.4 Temperature Effects 3.5 Combined Mechanical and Thermal Effects Exercises

Chapter 4 Linear Elasticity

4.1 Elastic Constants 4.2 Analysis of Pure Shear 4.3 Relationships Between Elastic Constants 4.4 Extended Hooke’s Law 4.5 Thin-Walled Pressure Vessels 4.6 Thick-Walled Cylinder 4.7 Thick-Walled Sphere Exercises

Chapter 5 Bending And Shear In Beams

5.1 Direct Stress in Bending 5.2 Combined Bending and Direct Stress 5.3 Bending of Composite Beams 5.4 Shear Stress Due to Shear Force 5.5 Shear Flow in Thin-Walled Sections References Exercises

Chapter 6 Slope And Deflection Of Beams

6.1 Differential Equation of Flexure 6.2 Mohr’s Theorems 6.3 Telescopic Cantilever 6.4 Macaulay’s Method 6.5 Superposition Principle Exercises

Chapter 7 Theories Of Torsion

7.1 Torsion of Circular Bars 7.2 Torsion of Thin Strips 7.3 Bredt-Batho Torsion Theory Exercises

Chapter 8 Buckling Of Struts

8.1 Euler Buckling Theory 8.2 Imperfect Euler Struts 8.3 Empirical Buckling Formulae 8.4 Inelastic Buckling of Struts Exercises

Chapter 9 Buckling Of Plates And Tubes

9.1 Buckling Modes 9.2 Unsupported Plate Under Axial Compression 9.3 Supported Plate Under Axial Compression 9.4 Inelastic Buckling of Plates Under Axial Compression 9.5 Post-Buckling of Plates Under Axial Compression 9.6 Plate Under Biaxial Compression 9.7 Plate Under In-Plane Shear 9.8 Tension Field Beam 9.9 Secondary Buckling of Plate Elements 9.10 Torsional Buckling of Thin Circular Tubes 9.11 Torsional and Shear Buckling of Non-Circular Tubes References Exercises

Chapter 10 Energy Methods

10.1 Internal Energy and External Work 10.2 Strain Energy Expressions 10.3 Application to Springs 10.4 Impact Loading 10.5 Castigliano’s Theorems 10.6 Stationary Potential Energy Exercises

Chapter 11 Plane Stress And Strain

11.1 Plane Stress Analysis 11.2 Mohr’s Circle 11.3 Matrix Method 11.4 Plane Strain Analyses 11.5 Wheatstone Bridge Theory Exercises

Chapter 12 Yield, Strength And Failure Criteria

12.1 Yielding of Ductile Metals 12.2 Principal Biaxial Stress 12.3 Combined Axial and Shear Stresses 12.4 Failure Criteria for Brittle Solids 12.5 Failure Criteria for Fibrous Materials References Exercises

Chapter 13 Finite Elements

13.1 Stiffness Matrix 13.2 Energy Methods 13.3 Bar Element Under Axial Stress 13.4 Plane Frame 13.5 Torsion Element 13.6 Beam Element 13.7 Plane Triangular Element Exercises

Index