TECHNICAL PAPERS
Feb 1, 1990

Elastic and Inelastic Analysis of Nonprismatic Members

Publication: Journal of Structural Engineering
Volume 116, Issue 2

Abstract

This paper deals with the static analysis of nonprismatic members of any arbitrary variation in its moment of inertia Ix and where their materia] is stressed beyond their elastic limit, thus causing the modulus of elasticity Ex to vary along their length. The stress and deflection characteristics of such members for both elastic and inelastic analysis will be determined by using the method of the equivalent systems (see Fertis 1956, 1964, 1973, 1984). This method permits the replacement of the original member of variable stiffness ExIx with one of uniform stiffness E1I1 whose elastic line is identical to that of the original variable stiffness member. An exact, as well as a very accurate approximate solution is obtained that drastically reduces the mathematical complexity of the problem. The member can be analyzed in both elastic and inelastic ranges to failure, thus permitting observation of progressive deterioration of the member's ability to resist load, stress, and deformation, and establishing useful, practical, critical limits regarding these quantities.

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References

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Fertis, D. G. (1956). “Theoretical and experimental investigations on vibration susceptibilities of various highway bridges.” Research Report, Mich. Dept. of Transp., Lansing, Mich.
2.
Fertis, D. G. (1964). “Contribution to the deflection and free vibration of uniform and variable stiffness members,” thesis presented to the National Technical University of Athens, Greece, at Athens, Greece, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Fertis, D. G. (1966). “Dynamic hinge concept for beam vibrations.” J. Struct. Div., ASCE, 92(1).
4.
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Fertis, D. G., and Kozma, A. (1962). “Solution of the deflection of variable thickness plates by the method of equivalent systems.” J. Industrial Mathematics, 12(1).
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Fertis, D. G., and Mijatov, M. M. (1989). “Equivalent systems for variable thickness plates.” J. Engrg. Mech., ASCE, 115(10).
8.
Fertis, D. G., and Zobel, E. (1958). “Equivalent systems for the deflection of variable stiffness members.” J. Struct. Div., ASCE.
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Fertis, D. G., and Zobel, E. (1961). Transverse vibration theory, applications of equivalent systems. Ronald Press Co., Inc., New York, N.Y.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 116Issue 2February 1990
Pages: 475 - 489

History

Published online: Feb 1, 1990
Published in print: Feb 1990

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Authors

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Demeter G. Fertis, Member, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Akron, Akron, OH 44325
Michael E. Keene
Mgr., Reactor Equipment Design, Babcock & Wilcox Co., Barberton, OH 44203–0227

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