Matrix Formulation of Curved Girders

by Chai Hong Yoo, (M.ASCE), Asst. Prof. of Civ. Engrg.; Marquette Univ., Milwaukee, Wisc.,

Serial Information: Journal of the Engineering Mechanics Division, 1979, Vol. 105, Issue 6, Pg. 971-988

Document Type: Journal Paper


Exact solutions to the linear static behavior including warping torsion of thin-walled spatial curved beam structures are obtained by the displacement formulation through the use of minimum potential energy. The generalized displacement field functions are represented by the exact solutions of the coupled homogeneous differential equations governing the static behavior, which also permits the evaluation of exact work-equivalent nodal forces due to external loadings. The obtained total torsional moment is separated through an analytical procedure into St. Venant and warping torque. Several examples are presented and comparisons made.

Subject Headings: Matrix (mathematics) | Curvature | Girders | Structural behavior | Warpage | Torsion | Curved beams | Displacement (mechanics)

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