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http://dx.doi.org/10.12989/cac.2012.10.2.149

Automated design of optimum longitudinal reinforcement for flexural and axial loading  

Tomas, Antonio (Department of Civil Engineering, Universidad Politecnica de Cartagena (UPCT))
Alarcon, Antonio (School of Mechanical Engineering, Universidad Politecnica de Cartagena (UPCT))
Publication Information
Computers and Concrete / v.10, no.2, 2012 , pp. 149-171 More about this Journal
Abstract
The problem of a concrete cross section under flexural and axial loading is indeterminate due to the existence of more unknowns than equations. Among the infinite solutions, it is possible to find the optimum, which is that of minimum reinforcement that satisfies certain design constraints (section ductility, minimum reinforcement area, etc.). This article proposes the automation of the optimum reinforcement calculation under any combination of flexural and axial loading. The procedure has been implemented in a program code that is attached in the Appendix. Conventional-strength or high-strength concrete may be chosen, minimum reinforcement area may be considered (it being possible to choose between the standards ACI 318 or Eurocode 2), and the neutral axis depth may be constrained in order to guarantee a certain sectional ductility. Some numerical examples are presented, drawing comparisons between the results obtained by ACI 318, EC 2 and the conventional method.
Keywords
cross section; flexural/axial loading; automated design; optimum reinforcement;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 ACI Committee 318 (2008), Building code requirements for structural concrete (ACI 318-08) and commentary (318R-08), ACI, Farmington Hills, MI.
2 Alarcon, A. (2010), Optimum reinforcement dimensioning in concrete rectangular sections under flexural and axial loading (in Spanish), Technical University of Cartagena (UPCT), Spain.
3 Arora, J.S. (2004), Introduction to optimum design, Elsevier Academic Press, London.
4 Au, F.T.K., Leung, C.C.Y. and Kwan, A.K.H. (2011), "Flexural ductility and deformability of reinforced and prestressed concrete sections", Comput. Concrete, 8(4), 473-489.   DOI
5 Bai, Z.Z. and Au, F.T.K. (2009), "Ductility of symmetrically reinforced concrete columns", Mag. Concrete Res., 61(5), 345-357.   DOI   ScienceOn
6 Calavera, J. (2008), Design and calculation of concrete structures (in Spanish), Intemac, Madrid.
7 Carreira, D.J. and Chu, K.H. (1986), "Moment-curvature relationship of reinforced concrete members", ACI J., 83(2), 191-198.
8 Cohn, M.Z. and Riva, P. (1991), "Flexural ductility of structural concrete sections", PCI J., 36(2), 72-87.
9 Di Ludovico, M., Lignola, G.P., Prota, A. and Cosenza, E. (2010), "Nonlinear analysis of cross sections under axial load and biaxial bending", ACI Struct. J., 107(4), 390-399.
10 Espion, B. and Halleux, P. (1988), "Moment curvature relationship of reinforced concrete sections under combined bending and normal force", Mater. Struct., 21(5), 341-351.   DOI   ScienceOn
11 Gil-Martin, L.M., Aschheim, M., Hernandez-Montes, E. and Pasadas-Fernandez, M. (2011), "Recent developments in optimal reinforcement of RC beam and column sections", Eng. Struct., 33(4), 1170-1180.   DOI   ScienceOn
12 Gil-Martin, L.M., Hernandez-Montes, E. and Aschheim, M. (2010), "Optimal reinforcement of RC columns for biaxial bending", Mater. Struct., 43(9), 1245-1256.   DOI   ScienceOn
13 Hernandez-Montes, E., Gil-Martin, L.M. and Aschheim, M. (2005), "Design of concrete members subjected to uniaxial bending and compression using reinforcement sizing diagrams", ACI Struct. J., 102(1), 150-158.
14 Ho, J.C.M. (2011), "Limited ductility design of reinforced concrete columns for tall buildings in low to moderate seismicity regions", Struct. Des. Tall Spec., 20(1), 102-120.   DOI
15 Ho, J.C.M., Pam, H.J., Peng, J. and Wong, Y.L. (2011), "Maximum concrete stress developed in unconfined flexural RC members", Comput. Concrete, 8(2), 207-227.   DOI
16 Kim, S.P. (2007), "Nonlinear analysis of RC beams based on simplified moment-curvature relation considering fixed-end rotation", Comput. Concrete, 4(6), 457-475.   DOI
17 Kwak, H.G. and Kim, S.P. (2010), "Simplified monotonic moment-curvature relation considering fixed-end rotation and axial force effect", Eng. Struct., 32(1), 69-79.   DOI   ScienceOn
18 Matlab (R2008a), The MathWorks, Inc., Natick, MA.
19 Nilson, A.H., Darwin, D. and Dolan, C.W. (2010), Design of concrete structures, 14th Ed., McGraw-Hill, New York.
20 Raue, E. and Hahn, S. (2005), "Optimum reinforcement design of concrete cross-sections considering deformation constraints", J. Civ. Eng. Manage, 11(1), 65-71.
21 Technical Committee CEN/TC250 (2004), Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings, European Committee for Standardization, Brussels.
22 Tomas, A. and Marti, P. (2010), "Design of reinforcement for concrete co-planar shell structures using optimization techniques", Meccanica, 45(5), 657-669.   DOI   ScienceOn
23 Yalcin, C. and Saatcioglu, M. (2000), "Inelastic analysis of reinforced concrete columns", Comput. Struct., 77(5), 539-555.   DOI   ScienceOn