Vol. 1: Basic Concepts, Columns, Beams and Plates |
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v | (10) |
Preface |
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xv | |
Abbreviated Contents of Vol. 2: Shells, Built-up Structures and Additional Topics |
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xi | |
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1 | (14) |
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1.1 Experiments as Essential Links in Structural Mechanics |
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1 | (2) |
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1.2 The Role of Experiments in Structural Stability |
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3 | (2) |
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1.3 Motivation for Experiments |
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5 | (4) |
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1.4 Bridging Gaps Between Disciplines |
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9 | (2) |
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11 | (4) |
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2 Concepts of Elastic Stability |
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15 | (116) |
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2.1 Physical Concepts-Types of Observed Behavior and Their Meaning |
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15 | (79) |
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2.1.1 Instability of Columns |
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16 | (2) |
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2.1.2 Instability of Plates |
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18 | (3) |
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2.1.3 Instability of Columns with Compound Cross-Sections |
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21 | (4) |
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2.1.4 Effect of Modal Coupling |
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25 | (3) |
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28 | (4) |
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2.1.6 Lateral Buckling of Beams |
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32 | (4) |
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2.1.7 Instability due to Patch Loading |
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36 | (3) |
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2.1.8 Buckling of Beam-Columns |
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39 | (2) |
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2.1.9 Buckling of Rings and Arches |
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41 | (4) |
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2.1.10 Buckling of Shallow Arches |
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45 | (5) |
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2.1.11 Buckling of Circular Cylindrical Shells |
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50 | (16) |
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53 | (4) |
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b. Combined External Pressure and Axial Compression |
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57 | (2) |
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c. Combined Torsion and Axial Compression |
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59 | (4) |
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d. Combined Bending and Axial Compression |
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63 | (3) |
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2.1.12 Buckling of Shells of Revolution |
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66 | (14) |
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a. Externally Pressurized Shallow Spherical Caps |
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69 | (3) |
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b. Toroidal Shell Segments under External Pressure (p = -p(e)) |
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72 | (5) |
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c. Toroidal Segments under Axial Tension |
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77 | (1) |
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d. Domed (torispherical) End-Closures under Internal Pressure |
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78 | (2) |
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2.1.13 Influence of Nonlinear Effects |
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80 | (14) |
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a. Axially Compressed Cylindrical Shells |
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81 | (3) |
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b. Bending of Cylinders -- Ovalization of the Cross-Section |
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84 | (4) |
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88 | (6) |
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2.2 Mathematical Models for Perfect Structures |
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94 | (30) |
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2.2.1 Static Versus Kinematic Approach |
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95 | (6) |
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2.2.2 Approximate Solutions of Bifurcation Problems |
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101 | (9) |
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a. The Rayleigh -- Ritz Method |
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102 | (4) |
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106 | (4) |
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2.2.3 Computational Tools for Bifurcation Problems |
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110 | (14) |
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a. The BOSOR-4 Branched Complex Shell of Revolution Code |
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111 | (10) |
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b. Finite Element Formulation of Bifurcation Problems |
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121 | (3) |
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124 | (7) |
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3 Postbuckling Behavior of Structures |
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131 | (50) |
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131 | (3) |
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3.2 Asymptotic Imperfection Sensitivity Analysis |
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134 | (20) |
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3.2.1 Initial Postbuckling Behavior of Columns |
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136 | (3) |
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3.2.2 Initial Postbuckling Behavior of Plates |
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139 | (4) |
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3.2.3 Initial Postbuckling Behavior of Shells |
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143 | (5) |
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3.2.4 Experimental Verification |
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148 | (6) |
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3.3 Direct Solutions of the Nonlinear Stability Problem |
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154 | (23) |
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3.3.1 Elastic Postbuckling Behavior of Columns |
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154 | (2) |
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3.3.2 Plastic Postbuckling Behavior of Columns |
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156 | (4) |
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3.3.3 Postbuckling Behavior of Plates |
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160 | (7) |
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161 | (5) |
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166 | (1) |
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3.3.4 Postbuckling Behavior of Circular Cylindrical Shells |
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167 | (8) |
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167 | (3) |
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170 | (5) |
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175 | (2) |
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177 | (4) |
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4 Elements of a Simple Buckling Test -- a Column Under Axial Compression |
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181 | (36) |
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4.1 Columns and Imperfections |
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181 | (1) |
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4.2 Von Karman's Experiments |
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182 | (3) |
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4.3 The Basic Elements of a Buckling Experiment |
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185 | (2) |
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4.4 Demonstration Experiments |
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187 | (7) |
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4.4.1 University College London Initial Postbuckling Experiments |
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187 | (2) |
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189 | (5) |
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194 | (3) |
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4.5.1 Derivation of Southwell Plot for a Column |
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194 | (1) |
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4.5.2 Application to von Karman's Columns |
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195 | (2) |
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4.6 Application of the Southwell Method to Columns, Beam Columns and Frames |
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197 | (10) |
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197 | (1) |
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4.6.2 Donnell's Applications of the Southwell Plot |
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198 | (5) |
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4.6.3 Applications to Frames and Lateral Buckling of Beams |
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203 | (3) |
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4.6.4 Southwell's Method as a Nondestructive Test Method |
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206 | (1) |
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4.7 Remarks on the Applicability of the Southwell Plot |
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207 | (6) |
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213 | (4) |
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5 Modeling -- Theory and Practice |
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217 | (72) |
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5.1 Mathematical and Physical Modeling |
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217 | (1) |
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218 | (2) |
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5.2.1 The Procedure in Dimensional Analysis |
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218 | (1) |
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5.2.2 The Buckingham Pi Theorem |
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219 | (1) |
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220 | (3) |
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5.3.1 The Concept of Similarity |
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220 | (1) |
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221 | (2) |
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5.4 Application to Statically Loaded Elastic Structures |
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223 | (5) |
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223 | (3) |
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5.4.2 Displacements and Strains |
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226 | (2) |
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5.5 Loading Beyond Proportional and Elastic Limits |
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228 | (1) |
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229 | (8) |
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5.6.1 Similarity Considerations for Buckling |
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229 | (1) |
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5.6.2 Choice of Materials for Buckling Experiments |
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230 | (2) |
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5.6.3 Elasto-Plastic Buckling |
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232 | (2) |
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5.6.4 Goodier and Thomson's Experiments on Shear Panels |
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234 | (3) |
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5.7 Scaling of Dynamically Loaded Structures |
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237 | (22) |
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238 | (1) |
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5.7.2 Impact of a Rigid Body on a Structure |
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238 | (3) |
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5.7.3 Scale Model Testing for Impact Loading |
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241 | (10) |
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5.7.4 Plates Subjected to Impulsive Normal Loading |
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251 | (3) |
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5.7.5 Response of Structures to Blast Loading |
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254 | (5) |
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5.8 Scaling of Composite Structures |
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259 | (13) |
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5.8.1 Problems in Scaling of Laminated Composites |
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259 | (1) |
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5.8.2 Scaling Rules for Laminated Beams and Plates |
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260 | (1) |
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5.8.3 Scaling for Strength and Large Deflections of Composites |
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260 | (8) |
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5.8.4 Scaling of Composite Plates |
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268 | (2) |
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5.8.5 Scaling of Composite Cylindrical Shells |
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270 | (2) |
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5.9 Model Analysis in Structural Engineering |
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272 | (10) |
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5.9.1 Model Analysis as a Design Tool |
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272 | (1) |
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5.9.2 Model Analysis in Vibration Studies |
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273 | (2) |
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5.9.3 Buckling Experiments on Models of a Composite Ship Hull Structure |
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275 | (4) |
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5.9.4 Design of Thames Barrier Gates |
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279 | (2) |
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5.9.5 Photoelastic Models |
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281 | (1) |
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282 | (1) |
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283 | (6) |
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6 Columns, Beams and Frameworks |
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289 | (120) |
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6.1 Buckling and Postbuckling of Columns |
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289 | (20) |
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6.1.1 Column Curves and "Secondary" Effects in Column Experiments |
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289 | (5) |
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294 | (3) |
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297 | (6) |
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a. Preparation of Specimens |
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299 | (1) |
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299 | (1) |
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c. Aligning the Column Specimen |
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299 | (1) |
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299 | (1) |
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300 | (2) |
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f. Presentation of Test Data |
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302 | (1) |
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g. Evalution of Test Results |
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303 | (1) |
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6.1.4 Columns in Offshore Structures |
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303 | (1) |
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6.1.5 End-Fitting Effects in Column Tests |
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304 | (5) |
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309 | (11) |
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309 | (1) |
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6.2.2 Gerard's Method for Calculation of Crippling Stresses |
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310 | (1) |
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6.2.3 Crippling Strength Tests |
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311 | (3) |
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314 | (1) |
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6.2.5 Thin-Walled Cold-Formed and Welded Columns |
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315 | (5) |
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6.3 Torsional-Flexural and Distortional Buckling |
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320 | (8) |
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320 | (1) |
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6.3.2 Torsional-Flexural Bucking Tests |
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320 | (6) |
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6.3.3 Distortional Buckling |
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326 | (2) |
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6.4 Lateral Buckling of Beams |
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328 | (16) |
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6.4.1 Lateral instability of beams |
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328 | (1) |
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6.4.2 Prandtl's Lateral Buckling Experiments |
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329 | (1) |
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6.4.3 Other Early Lateral Buckling Tests |
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330 | (3) |
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6.4.4 Recent Lateral Buckling Investigations |
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333 | (11) |
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6.5 Interactive Buckling in Columns and Beams |
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344 | (12) |
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6.5.1 Mode Interaction and Early Studies |
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344 | (1) |
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6.5.2 Interactive Buckling Experiments |
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345 | (11) |
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356 | (11) |
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6.6.1 Beam-Columns as Structural Elements |
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356 | (1) |
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6.6.2 Recent Experiments on Tubular Beam-Columns |
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357 | (10) |
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6.7 Buckling of Frameworks |
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367 | (30) |
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367 | (2) |
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6.7.2 Tests on Model Frames |
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369 | (2) |
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6.7.3 Behavior of Connections |
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371 | (6) |
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6.7.4 Seismic Loads on Multi-Story Frames |
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377 | (15) |
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392 | (5) |
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397 | (12) |
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409 | (44) |
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409 | (1) |
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410 | (24) |
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7.2.1 Arches Under Concentrated Loads |
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410 | (17) |
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420 | (2) |
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422 | (5) |
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7.2.2 Arches Under Uniform Pressure Loading |
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427 | (7) |
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7.2.3 Additional Empirical Investigations |
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434 | (1) |
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7.3 Rings and High Rise Arches |
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434 | (6) |
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7.3.1 Rings -- Contact Buckling |
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434 | (5) |
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439 | (1) |
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7.4 Lateral Buckling of Arches |
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440 | (10) |
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7.4.1 Theoretical Background |
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440 | (3) |
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7.4.2 Experimental Studies |
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443 | (7) |
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450 | (3) |
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453 | |
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8.1 Buckling and Postbuckling of Plates |
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453 | (17) |
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8.1.1 Historical Background |
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453 | (2) |
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455 | (4) |
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8.1.3 Postbuckling Behavior and "Secondary Buckling" |
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459 | (5) |
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8.1.4 Influence of Geometric Imperfections |
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464 | (1) |
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8.1.5 Influence of Residual Stresses |
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465 | (5) |
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8.2 Experiments on Axially Compressed Plates |
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470 | (46) |
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8.2.1 The US Bureau of Standards Test Setup |
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470 | (3) |
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8.2.2 Needle and Roller Bearings and Knife Edges for Simple Supports |
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473 | (6) |
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8.2.3 The ETH Zurich and US Navy DTMB Plate Buckling Tests |
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479 | (5) |
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8.2.4 The Cambridge University "Finger" Supports |
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484 | (7) |
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8.2.5 Other Examples of Simple and Clamped Supports |
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491 | (7) |
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498 | (5) |
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503 | (2) |
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8.2.8 Special Loading Systems for Annular Plates |
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505 | (3) |
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8.2.9 Deflection Measurement |
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508 | (4) |
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8.2.10 Controlled (Deliberate) Initial Deflections |
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512 | (4) |
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8.3 Determination of Critical Load and Southwell's Method in Plates |
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516 | (22) |
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8.3.1 Definition of the Buckling Load in Plates |
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516 | (4) |
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8.3.2 Southwell's Method in Plates |
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520 | (8) |
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8.3.3 Pivotal Plots for Plates |
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528 | (3) |
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8.3.4 More Recent Applications of Southwell Plots and Recommendations |
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531 | (2) |
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8.3.5 Summary of Direct Methods for Determination of Buckling Loads in Plates |
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533 | (5) |
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8.4 Experiments on Shear Panels |
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538 | (23) |
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8.4.1 Buckling and Postbuckling of Shear Panels |
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538 | (4) |
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8.4.2 Experiments on Plates Subjected to Shear -- Picture Frames |
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542 | (4) |
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8.4.3 Strength Tests on Plate Girders Under Shear |
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546 | (6) |
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8.4.4 Technion Repeated Buckling Tests on Shear Panels |
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552 | (6) |
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8.4.5 Aerospace Industrial Test Setups |
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558 | (3) |
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561 | (9) |
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8.5.1 Web Crippling Due to Concentrated or Patch Loads |
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561 | (3) |
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8.5.2 Web Crippling Tests |
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564 | (6) |
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570 | (7) |
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8.6.1 Plates Under Multiple Loading |
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570 | (1) |
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8.6.2 Biaxial In-Plane Compression Tests |
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570 | (7) |
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8.7 Guidelines to Modern Plate Buckling Experiments |
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577 | (14) |
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8.7.1 Guidelines or Ideas for Future Tests |
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577 | (5) |
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8.7.2 Noteworthy Details in Some Modern Plate Tests |
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582 | (6) |
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8.7.3 Imperial College London High Stiffness Test Machine |
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588 | (3) |
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591 | |
Author Index to Vol. 1 |
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Subject Index to Vol. 1 |
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