Exact Solutions for Buckling of Structural Members (CRC Series in Computational Mechanics and Applied Analysis Book 6)

The study of buckling loads, which often hinges on numerical methods, is key in designing structural elements. But the need for analytical solutions in addition to numerical methods is what drove the creation of Exact Solutions for Buckling of Structural Members. It allows readers to assess the reliability and accuracy of solutions obtained by numerical methods. The author has attempted to gather and present as many exact buckling solutions as possible in one single volume for engineers and researchers. These buckling solutions of columns, beams, arches, ring plates, and shells should serve as benchmarks for checking the validity, convergence, and accuracy of numerical methods and solutions. Catalog Copy "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 bucking 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 reference provides engineers and researchers benchmarks for assessing the validity, convergence, and accuracy of solutions obtained by numerical methods."--BOOK JACKET. When a slender structure is loaded in compression, for small loads it deforms with hardly any noticeable change in geometry and load-carrying ability.