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Mathematical model of analyzing P–δ effect in braced columns

  • M. A. FaroukEmail author
  • Mahmoud S. El-Kady
Technical papers
  • 52 Downloads

Abstract

Second-order analysis in braced slender columns was investigated in this study. The present study is concerned with two main points. The first point is focusing on how to compute the additional moments in slender columns according to accredited equations in different codes as well as the basics and the assumptions of these equations. In the second point, approximate equation was suggested by mathematical model to compute the additional moments in slender column. This equation was proved in elastic analysis and for the cases of single curvature in slender columns. The equation was proved by considering the column supported on two pin supports with rotational springs. The rotational springs represent the connected beams with the columns. The suggested equation gave matching values of the induced additional moments of slender columns compared with finite element results in elastic analysis. The suggested equation in this paper is as a preamble for the modified equation in near future. The stiffness reduction in the column and the rotational springs due to the cracking and yielding will be taken into account in the modified equation. Then, the results will be compared with accredited equations in different codes.

Keywords

Second-order analysis Finite element analysis Additional moment Slender column 

References

  1. 1.
    ECP Committee 203 (2007) The Egyptian code for design and construction of reinforcement concrete structures. p 403Google Scholar
  2. 2.
    BS8110 (1997) Structural use of concrete part 1: code of practice for design and construction. p 120Google Scholar
  3. 3.
    Bhatt P, MacGinly TJ, Choo BS (2006) Reinforced concrete design to eurocodes: design theory and examples, 4th edn. CRC Press, Boca Raton, Florida, United States, pp 849Google Scholar
  4. 4.
    (2014) Building code requirements for structural concrete (ACI 318-14), p 519Google Scholar
  5. 5.
    SAP 2000 (2004) Linear and nonlinear static and dynamic analysis and design of three-dimension structures. Computer and Structures, Inc., BerkeleyGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Civil Engineering DepartmentJouf UniversitySakakahSaudi Arabia
  2. 2.Structural Engineering Department, Faculty of EngineeringZagazig UniversityZagazigEgypt
  3. 3.Civil Engineering DepartmentJouf UniversitySakakahSaudi Arabia

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