Torsional Post-Buckling of a Simply Supported Thin-Walled Open-Section Beam Resting on a Two-Parameter Foundation

Beams on Elastic Foundation

Abstract: In this chapter a numerical method for the solution of the problem of a beam on an elastic foundation is presented. Special care will be taken that the program can be used for beams consisting of sections of unequal length, as the program is to be used as a basis for a sheet pile wall program, and for a program for a laterally loaded pile in a layered soil.

Elastic Analysis of Soil-Foundation Interaction

Abstract: Keywords: Elasticite ; Semelle ; Fondation ; Mecanique des sols Reference Record created on 2004-09-07, modified on 2016-08-08

Large-Deflection Spatial Buckling of Thin-Walled Beams and Frames

Abstract: The potential energy expression and the (14 by 14) stiffness matrix of a straight thin-walled beam element of open asymmetric cross section, subjected to initial axial force, initial bending moments, and initial bimoment, are derived. The transformation matrix relating the forces and displacements (including bimoment and warping parameter) at the adjacent end cross section of two elements meeting at an angle is deduced as the limiting case of a transfer matrix of a curved beam. To cope with asymmetric cross sections, some element displacements and forces are referred to the shear center and others to the cross-sectional centroid and the matrix for transformation from shear center to centroid is set up. The incremental larger-displacement analysis is formulated using the Eulerian coordinate approach with updating of the local coordinate systems at each load increment. The deformed beams are imagined to be composed of straight elements. Results of lateral post-buckling analysis of various beams are presented.