Title:
Yield and Ultimate Moment and Curvature Closed-Form Equations for Reinforced Concrete Sections
Author(s):
Giorgio Monti and Floriana Petrone
Publication:
Structural Journal
Volume:
112
Issue:
4
Appears on pages(s):
463-474
Keywords:
axial load and uniaxial bending moment; closed-form equations; longitudinal reinforcement on four sides; moment-curvature; reinforced concrete sections
DOI:
10.14359/51687747
Date:
7/1/2015
Abstract:
The paper presents closed-form equations for yield and ultimate moments and curvatures in rectangular reinforced concrete (RC) sections, with longitudinal reinforcement on all four sides, subjected to uniaxial bending moment and axial load. These equations allow obtaining moment-curvature (M-?) laws, starting from geometrical and mechanical characteristics of the section, with very low computational effort, which encourages the use of this formulation in multi-parametric and stochastic analyses. Unlike other formulations proposed in the literature, these closed-form equations give the solution sought without resorting to iterative methods. The accuracy of the proposed equations is demonstrated through comparisons, with results obtained from fiber-section analyses.