Stiffness Matrices for Beam Members Including Warping Torsion Effects

by John L. Meek,
Peter Swannell,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 1, Pg. 193-197

Document Type: Journal Paper


Recently several papers have appeared in which variation methods have been used to set up both elastic and geometric stiffness matrices for open sections for which both St. Venants. and warping torsion occurs. It is the purpose of this note to show how these expressions can be derived by using the principle of virtual displacements and also that the structure of the matrices involved in the geometric stiffness is revealed when the formulation is given in three dimensions.

Subject Headings: Stiffening | Matrix (mathematics) | Beams | Warpage | Torsion | Geometrics | Elastic analysis | Displacement (mechanics)

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