Nonlinear Analysis of Cable and Truss Structures

by Frank Baron, (F.ASCE), Prof. of Civ. Engrg.; Univ. of California, Berkeley, CA,
Mahadeva S. Venkatesan, (A.M.ASCE), Asst. Prof. of Engrg.; California State Coll., Fullerton, CA,

Serial Information: Journal of the Structural Division, 1971, Vol. 97, Issue 2, Pg. 679-710

Document Type: Journal Paper


The complete nonlinear equations of joint equilibrium are derived for three dimensional cable and truss structures using the direct stiffness approach for large joint displacements and small member deformations. The geometric stiffness matrix of the structure is derived solely from the geometrical and statical considerations of a perturbed equilibrium state. Various solution techniques are given for solving the nonlinear problem. Flow charts are given for modification of existing linear programs based on the direct stiffness approach. Several examples are given to illustrate the procedures and to emphasize the importance of nonlinear terms in the stiffness matrix.

Subject Headings: Cables | Stiffening | Nonlinear analysis | Trusses | Deformation (mechanics) | Joints | Equilibrium | Geometrics

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