scholarly journals Comparison between exact and approximate methods for geometrically nonlinear analysis prescribed in design standards for steel and reinforced concrete structures

Author(s):  
Laís De Bortoli Lecchi ◽  
Walnório Graça Ferreira ◽  
Paulo Manuel Mendes Pinheiro da Providência e Costa ◽  
Arlene Maria Cunha Sarmanho

abstract: Current practices in structural engineering demand ever-increasing knowledge and expertise concerning stability of structures from professionals in this field. This paper implements standardized procedures for geometrically nonlinear analysis of steel and reinforced concrete structures, with the objective of comparing methodologies with one another and with a geometrically exact finite element analysis performed with Ansys 14.0. The following methods are presented in this research: Load Amplification Method, from NBR 8800:2008; the γ z coefficient method, from NBR 6118:2014; the P-Delta iterative method and the α c r coefficient method, prescribed in EN 1993-1-1:2005. A bibliographic review focused on standardized approximate methods and models for consideration of material and geometric nonlinearities is presented. Numerical examples are included, from which information is gathered to ensure a valid comparison between methodologies. In summary, the presented methods show a good correlation of results when applied within their respective recommended applicability limits, of which, Eurocode 3 seems to present the major applicability range. The treated approximate methods show to be more suitable for regular framed structures subjected to regular load distributions.

2014 ◽  
Vol 7 (5) ◽  
pp. 879-904 ◽  
Author(s):  
E. Parente Jr ◽  
G. V. Nogueira ◽  
M. Meireles Neto ◽  
L. S. Moreira

The analysis of reinforced concrete structures until failure requires the consideration of geometric and material nonlinearities. However, nonlinear analysis is much more complex and costly than linear analysis. In order to obtain a computationally efficient approach to nonlinear analysis of reinforced concrete structures, this work presents the formulation of a nonlinear plane frame element. Geometric nonlinearity is considered using the co-rotational approach and material nonlinearity is included using appropriate constitutive relations for concrete and steel. The integration of stress resultants and tangent constitutive matrix is carried out by the automatic subdivision of the cross-section and the application of the Gauss quadrature in each subdivision. The formulation and computational implementation are validated using experimental results available in the literature. Excellent results were obtained.


2019 ◽  
Vol 104 ◽  
pp. 22-33
Author(s):  
Roberto Chaves Spoglianti de Souza ◽  
Marco Andreini ◽  
Saverio La Mendola ◽  
Jochen Zehfuß ◽  
Christian Knaust

2014 ◽  
Vol 1065-1069 ◽  
pp. 1217-1221
Author(s):  
Guo Quan Zhu ◽  
Jun Lin Tao ◽  
Xiao Ling Liu

The safety of reinforced concrete structures will be impacted by the explosions. Using the calculations result of finite element analysis software, combining with database technology, a security level evaluation platform of blasting damage in reinforced concrete structures is established. The platform assesses the safety of damaged structure from the remaining bearing capacity, maximum crack width and maximum deflection, etc. It gives the security level from different aspects of the structure and the integrated security level, and repair advice.


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