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Title: The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance

Abstract

The paper deals with statistical analysis of the resistance of simply supported I-beams subjected to bending. The resistance was solved by applying the geometrically nonlinear solution. The influence of lateral-beam buckling on resistance is studied. Initial geometrical imperfections originating from the first eigenmode of lateral-beam buckling and from the cross section rotation at the stability lost were ascribed to the beams. These imperfections consist of initial axial lateral buckling and rotation of cross sections along the beam axis length. The correlation between the amplitudes of these imperfections is considered to be the parameter of solutions within the interval from -1 to 1. The influence of this correlation on the change of mean values and standard deviations of random resistance of beams with nondimensional slenderness close to 1 is studied. The imperfections mentioned were considered, together with geometrical and material characteristics of cross section and material characteristics of steel, to be random quantities.

Authors:
 [1]
  1. Brno University of Technology, Faculty of Civil Engineering, Department of Structural Mechanics Veveří St. 95, ZIP 602 00, Brno (Czech Republic)
Publication Date:
OSTI Identifier:
22391171
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; BENDING; BUCKLING; CORRELATIONS; DEFECTS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; RANDOMNESS; ROTATION; STEELS

Citation Formats

Valeš, Jan. The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance. United States: N. p., 2015. Web. doi:10.1063/1.4913121.
Valeš, Jan. The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance. United States. https://doi.org/10.1063/1.4913121
Valeš, Jan. 2015. "The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance". United States. https://doi.org/10.1063/1.4913121.
@article{osti_22391171,
title = {The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance},
author = {Valeš, Jan},
abstractNote = {The paper deals with statistical analysis of the resistance of simply supported I-beams subjected to bending. The resistance was solved by applying the geometrically nonlinear solution. The influence of lateral-beam buckling on resistance is studied. Initial geometrical imperfections originating from the first eigenmode of lateral-beam buckling and from the cross section rotation at the stability lost were ascribed to the beams. These imperfections consist of initial axial lateral buckling and rotation of cross sections along the beam axis length. The correlation between the amplitudes of these imperfections is considered to be the parameter of solutions within the interval from -1 to 1. The influence of this correlation on the change of mean values and standard deviations of random resistance of beams with nondimensional slenderness close to 1 is studied. The imperfections mentioned were considered, together with geometrical and material characteristics of cross section and material characteristics of steel, to be random quantities.},
doi = {10.1063/1.4913121},
url = {https://www.osti.gov/biblio/22391171}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1648,
place = {United States},
year = {Tue Mar 10 00:00:00 EDT 2015},
month = {Tue Mar 10 00:00:00 EDT 2015}
}