Mechanics of Optimal Structural Design: Minimum Weight Structures

Glossary of Terms.

Key Symbols.

Chapter 1 Compression of Slender Struts.

1.1 Introduction.

1.2 Failure Criteria.

1.3 Solid Cross-Sections.

1.4 Thin-Walled, Tubular Sections.

1.5 Thin-Walled, Open Sections.

1.6 Summary of Results.

References.

Exercises.

Chapter 2 Compression of Wide Struts.

2.1 Introduction.

2.2 Failure Criteria.

2.3 Cellular Sections.

2.4 Open Sections.

2.5 Corrugated Sandwich Panel.

2.6 Summary of Results.

References.

Exercise.

Chapter 3 Bending of Slender Beams.

3.1 Introduction.

3.2 Solid Cross-Sections.

3.3 Thin-Walled, Tubular Sections.

3.4 Open Sections.

3.5 Summary of Results.

References.

Exercises.

Chapter 4 Torsion of Bars and Tubes.

4.1 Introduction.

4.2 Solid Cross-Sections.

4.3 Thin-Walled, Open Sections.

4.4 Thin-Walled, Closed Tubes.

4.5 Multi-Cell Tubes.

References.

Exercises.

Chapter 5 Shear of Solid Bars, Tubes and Thin Sections.

5.1 Introduction.

5.2 Bars of Solid Section.

5.3 Thin-Walled Open Sections.

5.4 Thin-Walled, Closed Tubes.

5.5 Concluding Remarks.

References.

Exercise.

Chapter 6 Combined Shear and Torsion in Thin-Walled Sections.

6.1 Introduction.

6.2 Thin-Walled, Open Sections.

6.3 Thin-Walled, Closed Tubes.

6.4 Concluding Remarks.

References.

Exercises.

Chapter 7 Combined Shear and Bending in Idealised Sections.

7.1 Introduction.

7.2 Idealised Beam Sections.

7.3 Idealised Open Sections.

7.4 Idealised Closed Tubes.

References.

Exercises.

Chapter 8 Shear in Stiffened Webs.

8.1 Introduction.

8.2 Castellations in Shear.

8.3 Corrugated Web.

8.4 Flat Web with Stiffeners.

References.

Exercises.

Chapter 9 Frame Assemblies.

9.1 Introduction.

9.2 Double-Strut Assembly.

9.3 Multiple-Strut Assembly.

9.4 Cantilevered Framework.

9.5 Tetrahedron Framework.

9.6 Cantilever Frame with Two Struts.

9.7 Cantilever Frame with One Strut.

References.

Exercises.

Chapter 10 Simply Supported Beams and Cantilevers.

10.1 Introduction.

10.2 Variable Bending Moments.

10.3 Cantilever with End-Load.

10.4 Cantilever with Distributed Loading.

10.5 Simply Supported Beam with Central Load.

10.6 Simply Supported Beam with Uniformly Distributed Load.

10.7 Additional Failure Criteria.

References.

Exercises.

Chapter 11 Optimum Cross-Sections for Beams.

11.1 Introduction.

11.2 Approaching Optimum Sections.

11.3 Generalised Optimum Sections.

11.4 Optimum Section, Combined Bending and Shear.

11.5 Solid, Axisymmetric Sections.

11.6 Fully Optimised Section.

11.7 Fully Optimised Weight.

11.8 Summary.

References.

Exercises.

Chapter 12 Structures under Combined Loading.

12.1 Introduction.

12.2 Combined Bending and Torsion.

12.3 Cranked Cantilever.

12.4 Cranked Strut with End-Load.

12.5 Cranked Bracket with End-Load.

12.6 Portal Frame with Central Load.

12.7 Cantilever with End and Distributed Loading.

12.8 Centrally Propped Cantilever with End-Load.

12.9 End-Propped Cantilever with Distributed Load.

12.10 Simply Supported Beam with Central-Concentrated and Distributed Loadings.

12.11 Centrally Propped, Simply Supported Beam with Distributed Load.

References.

Exercises.

Chapter 13 Encastré Beams.

13.1 Introduction.

13.2 Central-Concentrated Load.

13.3 Uniformly Distributed Load.

13.4 Combined Loads.

References.

Exercises.

Chapter 14 Plastic Collapse of Beams and Frames.

14.1 Introduction

14.2 Plane Frames.

14.3 Beam Plasticity.

14.4 Collapse of Simple Beams.

14.5 Encastré Beams.

14.6 Continuous Beams.

14.7 Portal Frames.

14.8 Effect of Axial Loading upon Collapse.

14.9 Effect of Shear Force upon Collapse.

14.10 Effect of Hardening upon Collapse.

References.

Exercises.

Chapter 15 Dynamic Programming.

15.1 Introduction.

15.2 Single-Span Beam.

15.3 Two-Span Beam.

15.4 Three-Span Beam.

15.5 Design Space.

Reference.

Exercises.

Appendix A Mechanical Properties.

A.1 Non-Metals.

A.2 Metals and Alloys.

References.

Appendix B Plate Buckling Under Uniaxial Compression.

B.1 Wide and Slender Struts.

B.2 Plates with Supported Sides.

B.3 Inelastic Buckling.

B.4 Post-Buckling.

References.

Appendix C Plate Buckling Under Biaxial Compression and Shear.

C.1 Biaxial Compression.

C.2 Pure Shear.

C.3 Inelastic Shear Buckling.

References.

Appendix D Secondary Buckling.

D.1 Buckling Modes.

D.2 Local Compressive Buckling.

D.3 Global Buckling.

D.4 Local Shear Buckling.

References.

Bibliography.

Index.