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Construction Engineering Reference from C.H.I.P.S.

Exact Solutions for Buckling of Structural Members
by C.M. Wang, C.Y. Wang and J. N Reddy

  • Compiles analytical solutions for a variety of structural elements and most standard structural problems

  • Focuses on buckling that is characterized by bifurcation, static and elastic, and elasto-plastic

  • Serves as a reference source for numerical solutions and for courses on buckling

  • Includes a list of reference papers on analytical solutions of various types of structural elements and boundary conditions

This book condenses closed form buckling solutions of columns, beams, arches, rings, plates and shells from the vast literature into a single volume. It begins with an introduction to elastic buckling and the importance of elastic buckling load. The following chapters present coverage of flexural buckling solutions for columns under various loads, restraints, and boundary conditions; the exact flexural-torsional buckling solutions of beams; and the buckling solutions of circular arches and rings. Also included in these chapters are discussions of the effect of transverse shear deformation on the buckling load of columns and the flexural-torsional buckling of columns for thin-walled members with open profiles. The final chapters discuss the elastic buckling of plates under inplane loads and buckling solutions for cylindrical and spherical shells.

With coverage of a wide range of buckling load problems, this innovative reference provides engineers and researchers benchmarks for assessing the validity, convergence, and accuracy of solutions obtained by numerical methods.

Contents

  1. Introduction
    • What Is Buckling?
    • Importance of Buckling Load
    • Historical Review
    • Scope of the Book

  2. Buckling of Columns
    • Euler Columns under End Axial Load
    • Governing Equations and Boundary Conditions
    • Columns with Classical Boundary Conditions
    • Columns with Elastic End Restraints
    • Euler Columns under End Load Dependent on Direction
    • Euler Columns with an Intermediate Axial Load
    • Euler Columns with an Intermediate Restraint
    • Euler Columns with an Internal Hinge
    • Columns with an Internal Hinge
    • Columns with a Rotational Restrained Junction
    • Euler Columns with a Continuous Elastic Restraint
    • Euler Columns with Distributed Load
    • Infinite Hanging Heavy Column with Bottom Load
    • Heavy Column with Top Load
    • Two-Segment Heavy Column o General Formulation
    • Heavy Column Partially Submerged in Liquid
    • Standing Two-Segment Heavy Column
    • Euler Columns with Variable Cross Section
    • Introduction
    • Columns under End Concentrated Load
    • Columns under Distributed Axial Load
    • Timoshenko Columns
    • Columns under End Axial Load
    • Columns under Intermediate and End Axial Loads
    • Flexural-Torsional Buckling of Columns
    • Inelastic Buckling of Columns

  3. Buckling of Beams, Arches and Rings
    • Flexural-Torsional Buckling of Beams
    • Introduction
    • Beams of Rectangular Cross-Section
    • I-Beams
    • Inplane Buckling of Rings and Arches
    • Governing Equations
    • Circular Rings under Uniform Pressure
    • Circular Rings with Hinges
    • Circular Rings with Distributed Resistance
    • General Circular Arch
    • Symmetrical Circular Arch
    • Symmetrical Arches with a Central Torsional Hinge
    • Flexural-Torsional Buckling of Arches under Equal End Moments

  4. Buckling of Plates
    • Preliminary Comments
    • Governing Equations in Rectangular Coordinates
    • Governing Equations in Polar Coordinates
    • Circular Plates
    • General Solution for Axisymmetric Buckling
    • Axisymmetric Buckling of Clamped Plates
    • Axisymmetric Buckling of Simply Supported Plates
    • Axisymmetric Buckling of Simply Supported Plates with Rotational Restraint
    • General Solution for Nonaxisymmetric Buckling
    • Buckling of Plates with Internal Ring Support
    • Axisymmetric Buckling of Plates under Intermediate and Edge Radial Loads
    • Buckling of Annular Plates under Uniform Compression
    • Buckling of Rectangular Plates
    • Preliminary Comments
    • Simply Supported Biaxially Loaded Plates
    • Plates Simply Supported along Two Opposite Sides and Compressed in the Direction
    • Perpendicular to These Sides
    • Plates with Abrupt Changes in Geometry or Material Properties
    • Simply Supported Isosceles Triangular Plates
    • First-Order Shear Deformation Theory of Plates
    • Governing Equations of Rectangular Plates
    • Buckling Loads of Rectangular Plates
    • Buckling Loads of Circular Plates
    • Inelastic Buckling of Plates
    • Introduction
    • Governing Equations of Circular Plates
    • Buckling Solutions of Circular Plates
    • Governing Equations of Rectangular Plates
    • Buckling Solutions of Rectangular Plates
    • Buckling of Simply Supported Polygonal Plates

  5. Buckling of Shells
    • Preliminary Comments
    • Axisymmetric Buckling of Circular Cylindrical Shells under Uniform Axial Compression
    • Nonaxisymmetric Buckling of Circular Cylindrical Shells under Uniform Axial Compression
    • Buckling of Circular Cylindrical Panels under Uniform Axial Compression
    • Buckling of Circular Cylindrical Shells under Lateral Pressure
    • Buckling of Spherical Shells under Hydrostatic Pressure
    • Buckling of Truncated Conical Shells under Axial Vertex Load

Subject Index

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Exact Solutions for Buckling of Structural Members
by C.M. Wang, C.Y. Wang and J. N Reddy
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