Generalized Warping Analysis of Composite Beams of an Arbitrary Cross Section by BEM. II: Numerical Applications

In this two-paper contribution, a general formulation for the nonuniform warping analysis of composite beams of arbitrary simply or multiply connected cross sections, under arbitrary external loading and general boundary conditions, is presented. In Part I, the governing differential equations have been derived, leading to 10 boundary value problems with respect to the kinematical components and independent warping parameters as well as to seven two-dimensional boundary value problems for the involved shear and torsional warping functions. The aforementioned boundary value problems for the beam are numerically solved using the analog equation method (AEM), a boundary element method (BEM)-based technique. The warping functions and the geometric constants, including the additional ones due to warping, are evaluated with a pure BEM approach. In this Part II, numerical applications of great practical interest are worked out to demonstrate the efficiency and accuracy of the developed method compared with finite element method (FEM) results and results available in the literature. In these examples, the effects arising owing to nonuniform warping in homogeneous and composite beams are illustrated.


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  • Accession Number: 01516067
  • Record Type: Publication
  • Files: TRIS, ASCE
  • Created Date: Feb 26 2014 3:02PM