book

Structural Stability Theory and Practice

by Sukhvarsh Jerath

December 2020

Intermediate to advanced

672 pages

18h 13m

English

Wiley

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1.1 Introduction1.2 General Concepts1.3 Rigid Bar Columns1.4 Large Displacement Analysis1.5 ImperfectionsReferences
2.1 General2.2 The Critical Load According to Classical Column Theory2.3 Effective Length of a Column2.4 Special Cases2.5 Higher-Order Governing Differential Equation2.6 Continuous Columns2.7 Columns on Elastic Supports2.8 Eccentrically Loaded Columns2.9 Geometrically Imperfect Columns2.10 Large Deflection Theory of Columns2.11 Energy MethodsReferences
3.1 Introduction3.2 Double Modulus Theory3.3 Tangent Modulus Theory3.4 Shanley's Theory for Inelastic Columns3.5 Columns with Other End Conditions3.6 Eccentrically Loaded Inelastic Columns3.7 Aluminum Columns3.8 Steel ColumnsReferences

4.1 Introduction4.2 Basic Differential Equations of Beam Columns4.3 Beam Column with a Lateral Concentrated Load4.4 Beam Columns Subjected to Moments4.5 Columns with Elastic Restraints4.6 Beam Columns with Different End Conditions and Loads4.7 Alternate Method Using Basic Differential Equations4.8 Continuous Beam Columns4.9 Slope Deflection Equations for Beam Columns4.10 Inelastic Beam Columns4.11 Design of Beam ColumnsReferences
5.1 Introduction5.2 Critical Loads by the Equilibrium Method5.3 Critical Loads by Slope Deflection Equations5.4 Critical Loads by Matrix and Finite Element Methods5.5 Design of Frame MembersReferences
6.1 Introduction6.2 Pure Torsion of Thin-Walled Cross-Sections6.3 Non-uniform Torsion of Thin-Walled Open Cross-Sections6.4 Torsional Buckling of Columns6.5 Torsional Buckling Load6.6 Torsional Flexural Buckling6.7 Torsional Flexural Buckling: The Energy Approach6.8 Lateral Buckling of Beams6.9 The Energy Method6.10 Beams with Different Support and Loading Conditions6.11 Design for Torsional and Lateral BucklingProblemsReferences
7.1 Introduction7.2 Theory of Plate Bending7.3 Buckling of Thin Plates7.4 Boundary Conditions7.5 Buckling of Rectangular Plates Uniformly Compressed in One Direction7.6 The Energy Method7.7 Buckling of Circular Plates7.8 The Finite Difference Method7.9 The Finite Element Method7.10 Large Deflection Theory of Plates7.11 Inelastic Buckling of Plates7.12 Ultimate Strength of Plates in Compression7.13 Local Buckling of Compression Elements: DesignReferences
8.1 Introduction8.2 The Large Deflection Theory of Cylindrical Shells8.3 The Linear Theory of Cylindrical Shells8.4 Donnell's Linear Equations of Stability of Cylindrical Shells8.5 The Energy Method8.6 Application of the Linear Stability Equations8.7 Failure and Post-buckling Behavior of Cylindrical Shells8.8 General Shells8.9 Shells of RevolutionReferences
C.1 Calculus of Variations
Reference
E.1 CurvatureE.2 SurfacesE.3 Principal CurvaturesE.4 Derivatives of Unit Vectors along Parametric Lines