Research Article
Apr 1963
Large Capacity Multistory Frame Analysis Programs
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VIEW THE REPLYAuthors: Ray W. Clough, F.ASCE, Edward L. Wilson, and Ian P. KingAuthor Affiliations
Publication: Journal of the Structural Division
Volume 89, Issue 4
Abstract
In order to analyze large multistory building frames efficiently by digital computer, it is necessary to use special computation techniques that take advantage of the sparse nature of their stiffness matrices. Two different methods are described and compared in this paper. Both solution techniques are based on the displacement method of structural analysis. The first employs a special form of Gauss-Seidel iteration of the equilibrium equations. The second arranges the stiffness matrix in the form of a tri-diagonal system of submatrices, and then obtains the solution by using a recursion equation. Comparisons of the two methods, based on the computer time required, indicate that either may be preferred in appropriate conditions. In general, the iterative solution is faster if only a single loading condition is to be considered, and if the structure has a relatively large number of bays. The recursion solution is faster if the structure is tall and slender, and if many loading conditions are involved.
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Published In
Journal of the Structural Division
Volume 89 • Issue 4 • April 1963
Pages: 179 - 204
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 1, 2021
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Authors
Affiliations
Ray W. Clough, F.ASCE
Prof. of Civ. Engrg., Univ. of California, Berkeley, Calif.
Edward L. Wilson
Graduate Student, Univ. of California, Berkeley, Calif.
Ian P. King
Graduate Student, Univ. of California, Berkeley, Calif.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.