Steel and Composite Structures

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Inelastic large deflection analysis of space steel frames consisting of I-shaped cross section

  • ElSabbagh, Ashraf (Department of Civil Engineering, Faculty of Engineering, Port Said University) ;
  • Hanefa, Ahmed (Department of Civil Engineering, Faculty of Engineering, Port Said University) ;
  • Zubydan, Ahmed (Department of Civil Engineering, Faculty of Engineering, Port Said University) ;
  • ElGhandour, Mohamed (Department of Civil Engineering, Faculty of Engineering, Port Said University) ;
  • Sharaf, Tarek (Department of Civil Engineering, Faculty of Engineering, Port Said University)
  • Received : 2021.04.26
  • Accepted : 2021.11.10
  • Published : 2021.12.25
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Abstract

This paper presents a simplified model to capture the nonlinear behavior of steel frames depending on the spread of plasticity method. New interaction formulae were derived to evaluate the plastic strength for I-shaped steel sections under uniaxial bending moment and axial compression load. Also, new empirical formulae were derived to evaluate the tangent stiffness modulus of steel I-shaped cross-sections considering the effect of the residual stresses suggested by the specifications in European Convention for Construction Steelworks (ECCS). The secant stiffness which depends on the tangent modulus is used to evaluate the internal forces. Based on stiffness matrix method, a finite element analysis program was developed for the nonlinear analysis of space steel frames using the derived formulae. Comparison between the proposed model results with those given by the fiber model shows very good agreement. Numerical examples were introduced to verify, check the accuracy, and evaluate the efficiency of the proposed model. The analysis results show that the new proposed model is accurate and able to minimize the solution time.

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References

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