TECHNICAL PAPERS
Jun 1, 1991

Analysis of Frames with Nonprismatic Members

Publication: Journal of Structural Engineering
Volume 117, Issue 6

Abstract

The linear elastic behavior of frames with nonprismatic members is investigated by using isoparametric plane stress finite elements. It is determined that the conventional methods of analysis for these types of structures lead to erroneous results. Comparison of the fixed end moments, stiffness, and carry‐over factors of nonprismatic members available in the literature with those computed by finite element analysis reveals large discrepancies. Based on an extensive study, sources and magnitudes of errors are presented. Recommendations for proper modeling by using conventional frame analysis computer programs are made.

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References

1.
Balkaya, C. (1987). “Finite element investigation of beams of variable cross section,” thesis presented to Middle East Technical University, Ankara, Turkey, in partial fulfillment of the requirements for the degree of Master of Science.
2.
Cross, H., and Morgan, N. (1958). Continuous frames of reinforced concrete. Fourteenth Ed., John Wiley and Sons, Inc., New York, N.Y., 126–155.
3.
Fertis, D. G., and Keene, M. E. (1990). “Elastic and inelastic analysis of nonprismatic members.” J. Struct. Engrg., ASCE, 116(2), 475–489.
4.
Funk, R., and Wang, K.‐T. (1988). “Stiffness of nonprismatic member.” J. Struct. Engrg., ASCE, 114(2), 489–494.
5.
Mumuni, I. (1983). “A finite element model for the analysis and optimal design of beams and plates with variable flexural rigidity,” thesis presented to Vanderbilt University, at Nashville, Tenn., in partial fulfillment of the requirements for the degree of Doctor of Philosophy, 23–38.
6.
Portland Cement Association. (1958). “Handbook of frame constants.” Beam factors and moment coefficients for members of variable section. Portland Cement Association, Chicago, Ill.
7.
Resende and Doyle. (1981). “NONPRI—An effective nonprismatic three dimensional beam finite element.” Comput. Struct., 14(1–2), 71–77.
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Timoshenko, S. (1953). Strength of materials. McGraw‐Hill, New York, N.Y., 60–63.
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Wilson, E., and Habibullah, A. (1984). SAP80 structural analysis programs. Computers and Structures Inc., Berkeley, Calif.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 117Issue 6June 1991
Pages: 1573 - 1592

History

Published online: Jun 1, 1991
Published in print: Jun 1991

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Authors

Affiliations

Nasreddin El‐Mezaini
Res. Asst., Dept. of Civ. Engrg., Middle East Tech. Univ., 06531 Ankara, Turkey
Can Balkaya
Project Engr., Ener. Engrg., Consulting & Contracting Corp., Ankara, Turkey
Ergin Çitipitiogˇlu, Member, ASCE
Prof. of Civ. Engrg., Middle East Tech. Univ., 06531 Ankara, Turkey

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