Research Article
Jun 1969
Tangent Stiffness Matrix for Space Frame Members
Publication: Journal of the Structural Division
Volume 95, Issue 6
Abstract
This presentation is concerned with the derivation of a 12 by 12 tangent stiffness matrix for a space frame member with constant cross-section. At first, the member end forces are expressed in the coordinate axes of the deformed geometry of the member in terms of the total end displacements. Then, in accordance with the Taylor expansion method, the stiffness influence coefficients are obtained as the partial derivatives of the force vector with respect to each one of the twelve member end displacements. It is believed that when this tangent stiffness matrix is used in connection with the Newton-Raphson iteration scheme in analyzing geometrically nonlinear structures, both the speed of convergence and the accuracy of the results are substantially increased. Numerical results are included to demonstrate the efficiency of the tangent stiffness matrix presented.
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Information
Published In
Journal of the Structural Division
Volume 95 • Issue 6 • June 1969
Pages: 1257 - 1270
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jun 1969
Published online: Feb 1, 2021
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Authors
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Semih S. Tezcan, M.ASCE
Prof. of Civ. Engrg., Robert College, Istanbul, Turkey. Formerly with the Univ. of British Columbia, Vancouver, Canada
Bijay C. Mahapatra, AM.ASCE
Engrg. Analyst, Electronic Calculus Inc., New York, N.Y. Formerly, Research Asst., Civ. Engrg. Dept., Univ. of British Columbia, Vancouver, Canada
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