Mechanics of Optimal Structural Design Minimum Weight Structures

by Rees, David W. A.

• ISBN13: 9780470746233
• ISBN10: 0470746238
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-11-09
• Publisher: Wiley

Summary

In the current climate where engineers are increasingly under pressure to make the most of limited resources, there are huge potential financial and environmental benefits to be gained by designing for minimum weight. With Mechanics of Optimal Structural Design, the author brings the original approach of weight optimization to the existing structural design literature, providing a methodology for attaining minimum weight of a range of structures under their working loads. He addresses the current gap in education between formal structural design teaching at undergraduate level and the practical application of this knowledge in industry, describing the analytical techniques that students need to understand before applying computational techniques that can be easy to misuse without this grounding. Shows engineers how to approach structural design for minimum weight in clear, concise terms Provides invaluable and timely guidance in an area that has the potential to offer huge financial and environmental benefits Contains many new least weight design techniques, taking into consideration many different manners of loading and including new topics that have not previously been considered within the least weight theme Considers the demands for least weight road, air and space vehicles for the future. Enhanced by illustrative worked examples to enlighten the theory, exercises at the end of each chapter that enable application of the theory covered, and an accompanying website with worked examples and solutions.

Author Biography

David Rees, Brunel University, UK
David Rees is a senior lecturer in the School of Engineering and Design at Brunel University. He has published four books on solid mechanics and structures Basic Engineering Plasticity (Elsevier, 2006); Mechanics of Solids and Structures (World Scientific I.C. Press, 2000); and Basic Solid Mechanics (Macmillan, 1997) as well as over 100 journal papers in the fields of plasticity, creep, fatigue, fracture and engineering design. His research covers the fields of multi-axial plasticity and creep, cyclic deformation and interactions between creep and fatigue, autofrettage and buckling of cylinders and discs and sheet metal formability.

Table of Contents

Preface	p. xi
Glossary of Terms	p. xv
Key Symbols	p. xix
Compression of Slender Struts	p. 1
Introduction	p. 1
Failure Criteria	p. 1
Solid Cross-Sections	p. 3
Thin-Walled, Tubular Sections	p. 4
Thin-Walled, Open Sections	p. 13
Summary of Results	p. 24
References	p. 25
Exercises	p. 25
Compression of Wide Struts	p. 29
Introduction	p. 29
Failure Criteria	p. 29
Cellular Sections	p. 31
Open Sections	p. 37
Corrugated Sandwich Panel	p. 57
Summary of Results	p. 60
References	p. 61
Exercise	p. 61
Bending of Slender Beams	p. 65
Introduction	p. 65
Solid Cross-Sections	p. 66
Thin-Walled, Tubular Sections	p. 69
Open Sections	p. 76
Summary of Results	p. 88
References	p. 89
Exercises	p. 89
Torsion of Bars and Tubes	p. 91
Introduction	p. 91
Solid Cross-Sections	p. 92
Thin-Walled, Open Sections	p. 99
Thin-Walled, Closed Tubes	p. 109
Multi-Cell Tubes	p. 121
References	p. 130
Exercises	p. 130
Shear of Solid Bars, Tubes and Thin Sections	p. 135
Introduction	p. 135
Bars of Solid Section	p. 136
Thin-Walled Open Sections	p. 143
Thin-Walled, Closed Tubes	p. 159
Concluding Remarks	p. 170
References	p. 171
Exercise	p. 171
Combined Shear and Torsion in Thin-Walled Sections	p. 173
Introduction	p. 173
Thin-Walled, Open Sections	p. 173
Thin-Walled, Closed Tubes	p. 177
Concluding Remarks	p. 189
References	p. 190
Exercises	p. 190
Combined Shear and Bending in Idealised Sections	p. 193
Introduction	p. 193
Idealised Beam Sections	p. 193
Idealised Open Sections	p. 201
Idealised Closed Tubes	p. 210
References	p. 221
Exercises	p. 221
Shear in Stiffened Webs	p. 223
Introduction	p. 223
Castellations in Shear	p. 223
Corrugated Web	p. 226
Flat Web with Stiffeners	p. 231
References	p. 237
Exercises	p. 237
Frame Assemblies	p. 239
Introduction	p. 239
Double-Strut Assembly	p. 239
Multiple-Strut Assembly	p. 244
Cantilevered Framework	p. 247
Tetrahedron Framework	p. 253
Cantilever Frame with Two Struts	p. 256
Cantilever Frame with One Strut	p. 259
References	p. 264
Exercises	p. 264
Simply Supported Beams and Cantilevers	p. 265
Introduction	p. 265
Variable Bending Moments	p. 265
Cantilever with End-Load	p. 271
Cantilever with Distributed Loading	p. 281
Simply Supported Beam with Central Load	p. 292
Simply Supported Beam with Uniformly Distributed Load	p. 303
Additional Failure Criteria	p. 316
References	p. 322
Exercises	p. 323
Optimum Cross-Sections for Beams	p. 325
Introduction	p. 325
Approaching Optimum Sections	p. 326
Generalised Optimum Sections	p. 328
Optimum Section, Combined Bending and Shear	p. 330
Solid, Axisymmetric Sections	p. 331
Fully Optimised Section	p. 341
Fully Optimised Weight	p. 345
Summary	p. 355
References	p. 356
Exercises	p. 356
Structures under Combined Loading	p. 357
Introduction	p. 357
Combined Bending and Torsion	p. 357
Cranked Cantilever	p. 359
Cranked Strut with End-Load	p. 362
Cranked Bracket with End-Load	p. 365
Portal Frame with Central Load	p. 368
Cantilever with End and Distributed Loading	p. 371
Centrally Propped Cantilever with End-Load	p. 377
End-Propped Cantilever with Distributed Load	p. 385
Simply Supported Beam with Central-Concentrated and Distributed Loadings	p. 390
Centrally Propped, Simply Supported Beam with Distributed Load	p. 395
References	p. 400
Exercises	p. 400
Encastré Beams	p. 403
Introduction	p. 403
Central-Concentrated Load	p. 403
Uniformly Distributed Load	p. 418
Combined Loads	p. 437
References	p. 463
Exercises	p. 463
Plastic Collapse of Beams and Frames	p. 465
Introduction	p. 465
Plane Frames	p. 466
Beam Plasticity	p. 468
Collapse of Simple Beams	p. 474
Encastré Beams	p. 478
Continuous Beams	p. 481
Portal Frames	p. 486
Effect of Axial Loading upon Collapse	p. 497
Effect of Shear Force upon Collapse	p. 500
Effect of Hardening upon Collapse	p. 505
References	p. 507
Exercises	p. 507
Dynamic Programming	p. 511
Introduction	p. 511
Single-Span Beam	p. 511
Two-Span Beam	p. 513
Three-Span Beam	p. 515
Design Space	p. 517
References	p. 520
Exercises	p. 520
Mechanical Properties	p. 521
Non-Metals	p. 521
Metals and Alloys	p. 522
References	p. 524
Plate Buckling Under Uniaxial Compression	p. 525
Wide and Slender Struts	p. 525
Plates with Supported Sides	p. 527
Inelastic Buckling	p. 530
Post-Buckling	p. 533
References	p. 534
Plate Buckling Under Biaxial Compression and Shear	p. 537
Biaxial Compression	p. 537
Pure Shear	p. 539
Inelastic Shear Buckling	p. 541
References	p. 541
Secondary Buckling	p. 543
Buckling Modes	p. 543
Local Compressive Bucking	p. 544
Global Buckling	p. 545
Local Shear Buckling	p. 547
Referances	p. 547
Bibliography	p. 549
Index	p. 553
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