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Founded in 1904 and headquartered in Farmington Hills, Michigan, USA, the American Concrete Institute is a leading authority and resource worldwide for the development, dissemination, and adoption of its consensus-based standards, technical resources, educational programs, and proven expertise for individuals and organizations involved in concrete design, construction, and materials, who share a commitment to pursuing the best use of concrete.
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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Title: Trilinear Moment-Curvature Relationship for Reinforced Concrete Beams
Author(s): W. A. M. Alwis
Publication: Structural Journal
Appears on pages(s): 276-283
Keywords: beams (supports); bending; computer programs; deflection; cracking (fracturing); deformation; moment-curvature relationship; reinforced concrete; structural analysis; Design
Abstract:A trilinear moment-curvature curve is constructed by depicting each of uncracked, cracked, and yielded behavior of reinforced concrete beams as linear segments. This curve and Branson's well-known formula for effective stiffness are qualitatively related to each other, and as a result the difference between predictions by the two modules is inherently bounded. Moment-curvature and load-deflection curves derived by Branson's formula and a recent nonlinear model by Bazant and Oh have been compared with those produced by the trilinear model for several example beams. Good agreement is observed among these models. The main advantage of the trilinear model is in computer applications related to analysis and design of reinforced concrete beams and frames.
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