TECHNICAL PAPERS
Oct 1, 1986

Nonlinear Design of Reinforced Concrete Frameworks

Publication: Journal of Structural Engineering
Volume 112, Issue 10

Abstract

A nonlinear design method for reinforced concrete framed structures is developed. Both the strength and ductility criteria for reinforced concrete design are simultaneously and explicitly satisfied at the specified service and ultimate load levels. The strain‐hardening effect of high strength reinforcing steel is also included in the design. An optimal design approach is adopted, and the design formulation becomes a nonlinear programming problem that can be solved by suitable mathematical solution algorithms and related computer codes. The design solution includes the set of member cross‐section dimensions and steel percentages for which the members have sufficient plastic moment and rotation capacities at the specified ultimate load level while ensuring adequate serviceability at the specified service load level, and for which the total cost of steel and concrete is minimum. A one‐story two‐bay frame example is presented to demonstrate a practical application of the method.

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References

1.
ACI, Building Code Requirements for Reinforced Concrete (ACI 318‐83), 1983.
2.
Ali, M. M., “Optimal Limit‐State Design of Reinforced Concrete Frameworks,” thesis submitted in partial fulfillment of the requirements for the Doctor of Philosophy Degree, University of Waterloo, Waterloo, Ontario, Canada, 1977.
3.
Ali, M. M., and Grierson, D. E., “Reinforced Concrete Design for Strength and Deformability,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM5, Oct., 1974, pp. 839–860.
4.
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5.
Baker, A. L. L., “Ultimate Load Theory Applied to the Design of Reinforced and Prestressed Concrete Frames,” Concrete Series, Concrete Publications Ltd., London, England, 1956.
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7.
Burnett, E. F. P., and Ali, M. M., “The Significance of Structural Serviceability in Reinforced Concrete Limit Design,” ACI Fall Convention, Mexico City, Mexico, Oct., 1976.
8.
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9.
Cohn, M. Z., “Nonlinear Design of Concrete Structures: Problems and Prospects,” International Symposium on ‘Nonlinear Design of Concrete Structures’, University of Waterloo, Waterloo, Ontario, Canada, Aug., 1979, pp. 3–42.
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14.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 10October 1986
Pages: 2216 - 2233

History

Published online: Oct 1, 1986
Published in print: Oct 1986

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Authors

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Mir M. Ali
Assoc. Prof. of Structures, School of Architecture, Univ. of Illinois at Urbana‐Champaign, IL
Donald E. Grierson
Prof., Dept. of Civ. Engrg., Solid Mechanics Div., Univ. of Waterloo, Waterloo, Ontario, Canada

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