Buckling Experiments: Experimental Methods in Buckling of Thin-Walled Structures, Volume 1 Basic Concepts, Columns, Beams and Plates

, by Singer, Josef; Arbocz, Johann; Weller, Tanchum

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780471956617 | 0471956619
Cover: Hardcover
Copyright: 2/11/1998

Buy New

Print on Demand: 2-4 Weeks. This item cannot be cancelled or returned.

$325.92

Written by eminent researchers and renown authors of numerous publications in the buckling structures field. * Deals with experimental investigation in the industry. * Covers the conventional and more unconventional methods for testing for a wide variety of structures. * Various parameters which may influence the test results are systemically highlighted including, imperfections, boundary conditions, loading conditions as well as the effects of holes and cut-outs.

Vol. 1: Basic Concepts, Columns, Beams and Plates

(10)

Preface

Abbreviated Contents of Vol. 2: Shells, Built-up Structures and Additional Topics

1 Introduction

(14)

1.1 Experiments as Essential Links in Structural Mechanics

(2)

1.2 The Role of Experiments in Structural Stability

(2)

1.3 Motivation for Experiments

(4)

1.4 Bridging Gaps Between Disciplines

(2)

References

(4)

2 Concepts of Elastic Stability

(116)

2.1 Physical Concepts-Types of Observed Behavior and Their Meaning

(79)

2.1.1 Instability of Columns

(2)

2.1.2 Instability of Plates

(3)

2.1.3 Instability of Columns with Compound Cross-Sections

(4)

2.1.4 Effect of Modal Coupling

(3)

2.1.5 Buckling of Frames

(4)

2.1.6 Lateral Buckling of Beams

(4)

2.1.7 Instability due to Patch Loading

(3)

2.1.8 Buckling of Beam-Columns

(2)

2.1.9 Buckling of Rings and Arches

(4)

2.1.10 Buckling of Shallow Arches

(5)

2.1.11 Buckling of Circular Cylindrical Shells

(16)

a. Axial Compression

(4)

b. Combined External Pressure and Axial Compression

(2)

c. Combined Torsion and Axial Compression

(4)

d. Combined Bending and Axial Compression

(3)

2.1.12 Buckling of Shells of Revolution

(14)

a. Externally Pressurized Shallow Spherical Caps

(3)

b. Toroidal Shell Segments under External Pressure (p = -p(e))

(5)

c. Toroidal Segments under Axial Tension

(1)

d. Domed (torispherical) End-Closures under Internal Pressure

(2)

2.1.13 Influence of Nonlinear Effects

(14)

a. Axially Compressed Cylindrical Shells

(3)

b. Bending of Cylinders -- Ovalization of the Cross-Section

(4)

c. Plastic Buckling

(6)

2.2 Mathematical Models for Perfect Structures

(30)

2.2.1 Static Versus Kinematic Approach

(6)

2.2.2 Approximate Solutions of Bifurcation Problems

101

(9)

a. The Rayleigh -- Ritz Method

102

(4)

b. Galerkin's Method

106

(4)

2.2.3 Computational Tools for Bifurcation Problems

110

(14)

a. The BOSOR-4 Branched Complex Shell of Revolution Code

111

(10)

b. Finite Element Formulation of Bifurcation Problems

121

(3)

References

124

(7)

3 Postbuckling Behavior of Structures

131

(50)

3.1 Introduction

131

(3)

3.2 Asymptotic Imperfection Sensitivity Analysis

134

(20)

3.2.1 Initial Postbuckling Behavior of Columns

136

(3)

3.2.2 Initial Postbuckling Behavior of Plates

139

(4)

3.2.3 Initial Postbuckling Behavior of Shells

143

(5)

3.2.4 Experimental Verification

148

(6)

3.3 Direct Solutions of the Nonlinear Stability Problem

154

(23)

3.3.1 Elastic Postbuckling Behavior of Columns

154

(2)

3.3.2 Plastic Postbuckling Behavior of Columns

156

(4)

3.3.3 Postbuckling Behavior of Plates

160

(7)

a. Perfect Plates

161

(5)

b. Imperfect Plates

166

(1)

3.3.4 Postbuckling Behavior of Circular Cylindrical Shells

167

(8)

a. Perfect Shells

167

(3)

b. Imperfect Shells

170

(5)

3.3.5 Concluding Remarks

175

(2)

References

177

(4)

4 Elements of a Simple Buckling Test -- a Column Under Axial Compression

181

(36)

4.1 Columns and Imperfections

181

(1)

4.2 Von Karman's Experiments

182

(3)

4.3 The Basic Elements of a Buckling Experiment

185

(2)

4.4 Demonstration Experiments

187

(7)

4.4.1 University College London Initial Postbuckling Experiments

187

(2)

4.4.2 Mechanical Models

189

(5)

4.5 Southwell's Method

194

(3)

4.5.1 Derivation of Southwell Plot for a Column

194

(1)

4.5.2 Application to von Karman's Columns

195

(2)

4.6 Application of the Southwell Method to Columns, Beam Columns and Frames

197

(10)

4.6.1 Lundquist Plot

197

(1)

4.6.2 Donnell's Applications of the Southwell Plot

198

(5)

4.6.3 Applications to Frames and Lateral Buckling of Beams

203

(3)

4.6.4 Southwell's Method as a Nondestructive Test Method

206

(1)

4.7 Remarks on the Applicability of the Southwell Plot

207

(6)

References

213

(4)

5 Modeling -- Theory and Practice

217

(72)

5.1 Mathematical and Physical Modeling

217

(1)

5.2 Dimensional Analysis

218

(2)

5.2.1 The Procedure in Dimensional Analysis

218

(1)

5.2.2 The Buckingham Pi Theorem

219

(1)

5.3 Similarity

220

(3)

5.3.1 The Concept of Similarity

220

(1)

5.3.2 Models Laws

221

(2)

5.4 Application to Statically Loaded Elastic Structures

223

(5)

5.4.1 Prescribed Loads

223

(3)

5.4.2 Displacements and Strains

226

(2)

5.5 Loading Beyond Proportional and Elastic Limits

228

(1)

5.6 Buckling Experiments

229

(8)

5.6.1 Similarity Considerations for Buckling

229

(1)

5.6.2 Choice of Materials for Buckling Experiments

230

(2)

5.6.3 Elasto-Plastic Buckling

232

(2)

5.6.4 Goodier and Thomson's Experiments on Shear Panels

234

(3)

5.7 Scaling of Dynamically Loaded Structures

237

(22)

5.7.1 Free Vibrations

238

(1)

5.7.2 Impact of a Rigid Body on a Structure

238

(3)

5.7.3 Scale Model Testing for Impact Loading

241

(10)

5.7.4 Plates Subjected to Impulsive Normal Loading

251

(3)

5.7.5 Response of Structures to Blast Loading

254

(5)

5.8 Scaling of Composite Structures

259

(13)

5.8.1 Problems in Scaling of Laminated Composites

259

(1)

5.8.2 Scaling Rules for Laminated Beams and Plates

260

(1)

5.8.3 Scaling for Strength and Large Deflections of Composites

260

(8)

5.8.4 Scaling of Composite Plates

268

(2)

5.8.5 Scaling of Composite Cylindrical Shells

270

(2)

5.9 Model Analysis in Structural Engineering

272

(10)

5.9.1 Model Analysis as a Design Tool

272

(1)

5.9.2 Model Analysis in Vibration Studies

273

(2)

5.9.3 Buckling Experiments on Models of a Composite Ship Hull Structure

275

(4)

5.9.4 Design of Thames Barrier Gates

279

(2)

5.9.5 Photoelastic Models

281

(1)

5.10 Analogies

282

(1)

References

283

(6)

6 Columns, Beams and Frameworks

289

(120)

6.1 Buckling and Postbuckling of Columns

289

(20)

6.1.1 Column Curves and "Secondary" Effects in Column Experiments

289

(5)

6.1.2 Column Testing

294

(3)

6.1.3 Test Procedures

297

(6)

a. Preparation of Specimens

299

(1)

b. Initial Dimensions

299

(1)

c. Aligning the Column Specimen

299

(1)

d. Instrumentation

299

(1)

e. Testing

300

(2)

f. Presentation of Test Data

302

(1)

g. Evalution of Test Results

303

(1)

6.1.4 Columns in Offshore Structures

303

(1)

6.1.5 End-Fitting Effects in Column Tests

304

(5)

6.2 Crippling Strength

309

(11)

6.2.1 Crippling Failure

309

(1)

6.2.2 Gerard's Method for Calculation of Crippling Stresses

310

(1)

6.2.3 Crippling Strength Tests

311

(3)

6.2.4 Crinkly Collapse

314

(1)

6.2.5 Thin-Walled Cold-Formed and Welded Columns

315

(5)

6.3 Torsional-Flexural and Distortional Buckling

320

(8)

6.3.1 Torsional Buckling

320

(1)

6.3.2 Torsional-Flexural Bucking Tests

320

(6)

6.3.3 Distortional Buckling

326

(2)

6.4 Lateral Buckling of Beams

328

(16)

6.4.1 Lateral instability of beams

328

(1)

6.4.2 Prandtl's Lateral Buckling Experiments

329

(1)

6.4.3 Other Early Lateral Buckling Tests

330

(3)

6.4.4 Recent Lateral Buckling Investigations

333

(11)

6.5 Interactive Buckling in Columns and Beams

344

(12)

6.5.1 Mode Interaction and Early Studies

344

(1)

6.5.2 Interactive Buckling Experiments

345

(11)

6.6 Beam-Columns

356

(11)

6.6.1 Beam-Columns as Structural Elements

356

(1)

6.6.2 Recent Experiments on Tubular Beam-Columns

357

(10)

6.7 Buckling of Frameworks

367

(30)

6.7.1 Frame instability

367

(2)

6.7.2 Tests on Model Frames

369

(2)

6.7.3 Behavior of Connections

371

(6)

6.7.4 Seismic Loads on Multi-Story Frames

377

(15)

6.7.5 Space Structures

392

(5)

References

397

(12)

7 Arches and Rings

409

(44)

7.1 Background

409

(1)

7.2 Shallow Arches

410

(24)

7.2.1 Arches Under Concentrated Loads

410

(17)

(a) Circular Arch

420

(2)

(b) Sinusoidal Arch

422

(5)

7.2.2 Arches Under Uniform Pressure Loading

427

(7)

7.2.3 Additional Empirical Investigations

434

(1)

7.3 Rings and High Rise Arches

434

(6)

7.3.1 Rings -- Contact Buckling

434

(5)

7.3.2 High Rise Arches

439

(1)

7.4 Lateral Buckling of Arches

440

(10)

7.4.1 Theoretical Background

440

(3)

7.4.2 Experimental Studies

443

(7)

References

450

(3)

8 Plate Buckling

453

8.1 Buckling and Postbuckling of Plates

453

(17)

8.1.1 Historical Background

453

(2)

8.1.2 Effective Width

455

(4)

8.1.3 Postbuckling Behavior and "Secondary Buckling"

459

(5)

8.1.4 Influence of Geometric Imperfections

464

(1)

8.1.5 Influence of Residual Stresses

465

(5)

8.2 Experiments on Axially Compressed Plates

470

(46)

8.2.1 The US Bureau of Standards Test Setup

470

(3)

8.2.2 Needle and Roller Bearings and Knife Edges for Simple Supports

473

(6)

8.2.3 The ETH Zurich and US Navy DTMB Plate Buckling Tests

479

(5)

8.2.4 The Cambridge University "Finger" Supports

484

(7)

8.2.5 Other Examples of Simple and Clamped Supports

491

(7)

8.2.6 Loading Systems

498

(5)

8.2.7 Large Test Rigs

503

(2)

8.2.8 Special Loading Systems for Annular Plates

505

(3)

8.2.9 Deflection Measurement

508

(4)

8.2.10 Controlled (Deliberate) Initial Deflections

512

(4)

8.3 Determination of Critical Load and Southwell's Method in Plates

516

(22)

8.3.1 Definition of the Buckling Load in Plates

516

(4)

8.3.2 Southwell's Method in Plates

520

(8)

8.3.3 Pivotal Plots for Plates

528

(3)

8.3.4 More Recent Applications of Southwell Plots and Recommendations

531

(2)

8.3.5 Summary of Direct Methods for Determination of Buckling Loads in Plates

533

(5)

8.4 Experiments on Shear Panels

538

(23)

8.4.1 Buckling and Postbuckling of Shear Panels

538

(4)

8.4.2 Experiments on Plates Subjected to Shear -- Picture Frames

542

(4)

8.4.3 Strength Tests on Plate Girders Under Shear

546

(6)

8.4.4 Technion Repeated Buckling Tests on Shear Panels

552

(6)

8.4.5 Aerospace Industrial Test Setups

558

(3)

8.5 Web Crippling

561

(9)

8.5.1 Web Crippling Due to Concentrated or Patch Loads

561

(3)

8.5.2 Web Crippling Tests

564

(6)

8.6 Biaxial Loading

570

(7)

8.6.1 Plates Under Multiple Loading

570

(1)

8.6.2 Biaxial In-Plane Compression Tests

570

(7)

8.7 Guidelines to Modern Plate Buckling Experiments

577

(14)

8.7.1 Guidelines or Ideas for Future Tests

577

(5)

8.7.2 Noteworthy Details in Some Modern Plate Tests

582

(6)

8.7.3 Imperial College London High Stiffness Test Machine

588

(3)

References

591

Author Index to Vol. 1

Subject Index to Vol. 1

Please wait while the item is added to your bag...

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Buckling Experiments: Experimental Methods in Buckling of Thin-Walled Structures, Volume 1 Basic Concepts, Columns, Beams and Plates

Summary

Author Biography

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Buckling Experiments: Experimental Methods in Buckling of Thin-Walled Structures, Volume 1 Basic Concepts, Columns, Beams and Plates

Summary

Author Biography

Table of Contents

Supplemental Materials

Digital License