CONTENTS 出 2.18 Buckling of Built-up Columns. 4 4 135 7.0 Buckling of Bimetallie Strip 310 2.19 Buckling of Helical Springs 4 7.10 Lateral Buckling of a Curved Bar with Cireular Axis 4 。4 313 2.20 Stability of n System of Bar8 2.21 The Case of Nonconservative Forees. Chapter 8.Bending of Thin Plates... 319 2.22 Stability of Priamatic Bars under Varying Axial Foreea 4 8.1 Pure Bending of Plates 4 319 82 Bending of Plates by Distributed Lateral Load. 163 326 Chapter 3.Inelastic Buckling of Bars 8.3 Combined Bending and Tension or Compression of Plates. 332 3.1 Inelastic Bending 163 8.4 Strain Energy in Bending of Plates 335 3.2 Inelastic Bending Combined with Axial Lond 8.5 Deflections of Rectangular Plntes with Simply Supported Edges. 340 3.3 Inelastic Buekling of Bars (Fundamental Case). g 8.6 Bending of Plates with a Small Initinl Curvature.. 844 3.4 Inelastie Buekling of Bars with Other End Conditions 182 8.7 Large Deflections of Plates. 346 Chapter 4.Experiments and Design Formulas 185 Chapter 9. Buckling of Thi扣ates, 348 4.I Column Tests 185 91 Methods of Caleulation of Critical Loads 348 4.2 Ideal-column Formulas as a Baais of Column Design 92 Buckling of Simply Bupported Rectangular Plates Uniformly Compreed 4.3 Empirical Formulas for Column Deaign. 路 in One Direction. 351 4.4 Ansumed Insecuracies as a Basis of Column Deaign 197 93 Buckling of Simply Supported Rectangular Plates Compreased in Two 4.5 Various End Conditions 202 Perpendieular Directions 4 a56 4.6 The Desigh of Built-up Columns. 206 9.4 Buckling of Uniformly Compreesed Reetangular Plates Simply Supported 212 along Two Opposite Sides Perpendicular to the Direetion of Compreasion Chapter 5.Torsional Buckling. and Having Various Edge Conditions along the Other Two Sides 4 360 5.1 Introduetion.. 212 9.5 Buekling of a Rectangular Plate Simply Supported along Two Opposite 52 Pure Torsion of Thin-walled Bars of Open Cross Section. 、 212 Sides and Uniformly Compressed in the Direction Parallel to Those Sides. 370 5.3 Nonuniform Torion of Thin-walled Bars of Open Croms Seetion.. 218 9.6 Buckling of a Simply Supported Rectangular Pinte under Combined 5.4 Torsional Buekling. 225 Bending and Comprension. 373 5.5 Buckling by Torsion and Flexure. 229 9,7 Buckling of Rectangular Plates under the Action of Shearing Btreascs 379 5.6 Combined Torsional and Flexural Buckling of a Bar with Continuous 9.8 Other Cnses of Buckling of Rectangular Plates 385 Elastic8 upporte,· 237 9.9 Buckling of Circular Platee. 380 5.7 Torsional Buckling under Thrust and End Moments 244 9.10 Buckling of Plates of Other Shapes 392 9.11 Stability of Plates Reinforeed by Ribs 39H Chapter 6. Lateral Buckling of Beams 4 251 9.12 Buckling of Plstes beyond Proportional Limit 408 6.1 Differential Equations for Lateral Buckling 251 9.13 Large Deflections of Buckled Plates 41 6.2 Lateral Buckling of Beams in Pure Bending 4 253 9.14 Ultimate Strength of Buckled Plates 418 6.3 Lateral Buckling of a Cantilever Beam 257 9.15 Experiments on Buckling of Platee 42 6.4 Lateral-Buckling of Simply Supported I Beams 262 9.16 Practical Applications of the Theory of Buckling of Piatee 29 6.5 Lateral Bucklins of Simply Supported Beam of Narrow Rectangular Chapter 10. Bending of Thin Shells.. 440 Cross Section. 268 6.8 Other Cases of Lateral Buekling. 270 10.1 Deformation of an Element of a Shell 440 6.7 Inelastie Lateral Buckling of I Beams 272 10.2 Symmetrical Deformation of a Cireular Cylindricnl Shell 10.3 Inextensional Deformation of Cireular Cylindrical Shell Chapter 7. Buckling of Rings,Curved Bars,and Arches. 278 445 10.4 General Case of Deformation of a Cylindrical Shell. 4M8 7.1 Bending of a Thin Curved Bar with a Circular Axis 278 10.5 Symmetrical Deformation of a Bpberical Shell 4 453 72 Application of Trigonometrie Series in the Anslysis of a Thin Circular Chapter 11.Buckling of Shells 457 ing· 44 ” 282 73 Effect of Uniform Preasure on Bending of a Cireulnr Ring.. 287 111 Symmetrical Buekling of a Cylindrienl Shell under the Action of Uniform 7.4 Buckling of Cireular Rings and Tubes under Uniform External Proasure 289 Axial Compression 457 7.5 The Design of Tubee under Uniform External Pressure on the Basis of 11.2 Inextensional Forms of Bending of Cylindrical Shells Due to Instability 461 A题mmed Inaecuracies + 294 11.3 Buekling of a Cylindrical Shell under the Action of Uniform Axial Pressure 462 7.6 Buckling of a Uniformly Compressed Cireular Arch ▣44 11.4 Experimenta with Cylindrical Shells in Axial Compreasion 488 7,7 Arebes of Other Forms. 11.5 Buckling of a Cylindrical Shell under the Action of Uniform Externsl 7.8 Buekling of Very Flnt Curved Bars .... 。4 305 Lateral Preeeure. 474