Proposing Formula-Based Design Method for RC Columns and Uniformly Reinforced Shear Walls

Document Type : Research Article

Authors

1 Faculty of civil engineering, Shahrood University of Technology

2 Faculty of Civil Engineering, Shahrood University of Technology, Shahrood, Semnan, Iran

Abstract

In recent decades, Reinforced Concrete (RC) structures have been impressively grown in construction and research fields. The RC Column is a major component of RC building structures. Design of RC columns and shear walls is an iterative and time-consuming process which often carried out using P-M interaction diagrams (PMID) in hand calculations. In this paper, with a different attitude on conventional approaches and using curve and surface fitting techniques, a simple Formula-based Design (FbD) method for design of RC column and Uniformly Reinforced Shear Wall (URSW) is proposed by which the longitudinal reinforcement area to section gross area ratio can be determined according to sectional details and other assumptions. This proposed dimension-independent method is compatible with any applied axial loads and bending moments, and decreases the complexity and time of design iterations in hand calculations of design and analysis process. Also, these well-organized formulas are useful for direct modeling of standard shapes of column in different research fields. Further, a procedure for determining the strength reduction factor is provided according to ACI 318 Code requirements. The validity and accuracy of the proposed FbD method is investigated by comparing with conventional hand calculation methods, and by several assessments, which shows that this method is suitable for the faster hand design of RC columns and URSWs with satisfying accuracy.

Keywords

Main Subjects


[1]    J.K. Wight, J.G. MacGregor, Reinforced Concrete Mechanics and Design, 6th edition, Pearson Education, Inc., Upper Saddle River, New Jersey, 2012 (1157 pp)
[2]    B. Bresler, Design criteria for reinforced columns under axial load and biaxial bending, Acids J. Proc. 57 (11) (1960) 481–490
[3]    K.H. Chu, A. Pabarcius, Biaxially loaded reinforced concrete columns, J. Struct. Div. ASCE 84 (ST8) (1958) 1–27.
[4]    C.S. Whitney, Plastic theory of reinforced concrete design, ASCE Trans. 107 (1942) (251 pp).
[5]    C.T. Hsu, M.S. Mirza, Structural concrete—biaxial bending and compression, J. Struct. Div. ASCE 99 (ST2) (1973) 285–290.
[6]    C.T.T. Hsu, Analysis and design of square and rectangular columns by equation of failure surface, ACI Struct. J. 85 (2) (1988) 167–179.
[7]    J.F. Fleming, S.D. Werner, Design of columns subjected to biaxial bending, ACI J. Proc. 62 (3) (1965) 327–342.
[8]    J. Marin, Design aids for L-shaped reinforced concrete columns, ACI J. (1979) 1197–1216 (Title No. 76-49).
[9]    C.T.T. Hsu, Biaxially loaded L-shaped reinforced concrete columns, J. Struct. Eng. ASCE 111 (12) (1985) 2576–2595.
[10]  C.T.T. Hsu, T-shaped reinforced concrete members under biaxial bending and axial compression, ACI Struct. J. 86 (4) (1989) 460–468.
[11]  C.I. Dinsmore, Column analysis with a programmable calculator, ACI Concr. Int. 4 (11)(1982) 32–36.
[12]  T. Brondum-Nielsen, Ultimate flexural capacity of partially or fully prestressed cracked arbitrary concrete sections under axial load combined with biaxial bending, ACI Concr. Int. 5 (1) (1983) 75–78.
[13]  J.R. Yen, Quasi-Newton method for reinforced concrete column analysis and design, J. Struct. Eng. ASCE 117 (3) (1991) 657–666.
[14]  J.L. Bonet, P.F. Miguel, M.A. Fernandez, M.L. Romero, Analytical approach to failure surfaces in reinforced concrete sections subjected to axial loads and biaxial bending, J. Struct. Eng. ASCE 130 (2004).
[15]  P. Paultre, F. Légeron, Confinement reinforcement design for reinforced concrete columns, J. Struct. Eng. ASCE 134 (5) (2008).
[16]  F. Barzegar, T. Erasito, Concrete sections under biaxial bending: interactive analysis with spreadsheets, ACI Concr. Int. 17 (12) (1995) 28–33.
[17]  H. Rodrigues, H. Varum, A. Arêde, A.G. Costa, Behaviour of reinforced concrete column under biaxial cyclic loading–state of the art, Int. J. Adv. Struct. Eng. (IJASE) (2013).
[18]  A.Z. Zenon, W. Long, M.S. Troitsky, Designing reinforced concrete short-tied columns using the optimization technique, ACI Struct. J. 92 (5) (1995) 619–626.
[19]  R.D. Lequesne, J.A. Pincheira, Proposed revisions to the strength reduction factor for axially loaded members, ACI Concr. Int. 36 (9) (2014) 43–49.
[20]  W. Wang, H.P. Hong, Appraisal of reciprocal load method for reinforced concrete columns of normal and high strength concrete, J. Struct. Eng.ASCE 128 (11) (2002) 1480–1486.
[21] J.A. Rodriguez, J.D. Aristizabal-Ochoa, Biaxial interaction diagram for short RC columns of any cross section, J. Struct. Eng. ASCE 125 (6) (1999).
[22] . Cedolin, G. Cusatis, S. Eccheli, M. Roveda, Biaxial bending of concrete columns: an analytical solution, Stud. Res. – Politec. di Milano 26 (2006) 163–192.
[23]  M. Mahamid, M. Houshiar, Direct design method and design diagrams for reinforced concrete columns and shear walls, J. Building Eng. 18 (2018) 66–75.
[24]  A. H. Nilson, D Darwin, C. W. Dolan, Design of Concrete Structures, 14th edition, McGraw-Hill, Inc.,
[25]  ACI 318-14, Building Code Requirements for Structural Concrete and Commentary.