A static linear analysis is proposed of straight beams with a trapezoidal thin-walled cross section having side cantilevers under torsional and distortional loading. The generalized load, the governing equilibrium equation, and the boundary conditions are derived from Kantorovich's method applied to minimize the total potential energy functional. The most significant aspects of the proposed formulation are: torsion and distortion are always coupled; stress concentration at the cantilevers near constrained cross sections or severe loading conditions is detected, with particular regard to the longitudinal normal stress; a large set of constraints can be taken into account; and attempt is made to clarify the influence of the boundary diaphragms in Saint-Venant pure torsion. The paper also describes a numerical study of a cantilever beam and a 3-span bridge under several loading and boundary conditions.

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  • Accession Number: 00616236
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Oct 31 1991 12:00AM