Solving Lateral Beam Buckling Problems by Means of Solid Finite Elements and Nonlinear Computational Methods

AUTHOR(S):

Jan Vales, Zdenek Kala, Josef Martinasek

TITLE

Solving Lateral Beam Buckling Problems by Means of Solid Finite Elements and Nonlinear Computational Methods

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ABSTRACT

The present paper deals with the comparison of values of resistance of a hot-rolled steel beam with initial imperfections. Very detailed 3D calculation models of beams were created in the computer programme Ansys applying the finite elements SOLID185. Eight nodes having three degrees of freedom at each node define the element SOLID185. Resistances were computed by application of geometrically and material nonlinear methods to the selected degree of non-dimensional slenderness depending on nominal length of the beam. Beams are subjected to bending, and their total and elastic resistance are compared with analytical, empirical and standard types of resistance.

KEYWORDS

Lateral Beam Buckling, Resistance, Imperfections, Hot-rolled, Beam, Ansys

REFERENCES

[1] T. V. Galambos, Stability Design Criteria for Metal Structures, John Wiley & Sons, 1998, p.911. [1] T. V. Galambos, Stability Design Criteria for Metal Structures, John Wiley & Sons, 1998, p.911.

[2] Z. Kala, J. Kala, Resistance of Plate Girders Under Combined Bending and Shear, In Proc. of the 3rd WSEAS Int. Conf. on Engineering Mechanics, Structures, Engineering Geology (EMESEG ’10), Corfu Island (Greece), 2010, pp. 166-171.

[3] Z. Kala, J. Kala, Resistance of Thin-walled Plate Girders under Combined Bending and Shear, WSEAS Transactions on Applied and Theoretical Mechanics, Vol.5, No.4, 2010, pp. 242-251.

[4] Z. Kala, Elastic Lateral-torsional Buckling of Simply Supported Hot-rolled Steel I-beams with Random Imperfections, Procedia Engineering, Vol.57, 2013, pp. 504-514.

[5] Z. Kala, Sensitivity and Reliability Analyses of Lateral-torsional Buckling Resistance of Steel Beams, Archives of Civil and Mechanical Engineering, Vol.15, No.4, 2015, pp. 1098- 1107.

[6] J. Valeš, The Influence of Correlation Between Initial Axis Curvature and Cross-section Rotation on the Beam Static Resistance, AIP Conference Proceedings, Vol.1648, 2015, Article number 850066, doi:10.1063/1.4913121.

[7] J. Antucheviciene, Z. Kala, M. Marzouk, E.R. Vaidogas, Solving Civil Engineering Problems by Means of Fuzzy and Stochastic MCDM Methods: Current State and Future Research, Mathematical Problems in Engineering, Vol.2015, 2015, Article number 362579.

[8] J. Antucheviciene, Z. Kala, M. Marzouk, E.R. Vaidogas, Decision Making Methods and Applications in Civil Engineering, Mathematical Problems in Engineering, Vol.2015, 2015, Article number 160569.

[9] S. Chakraborty, J. Antucheviciene, E. K. Zavadskas, Applications of Waspas Method as a Multi-criteria Decision-making Tool, Economic Computation and Economic Cybernetics Studies and Research, Vol. 49, No.1, 2015, pp. 1-17.

[10] Z. Kala, Stochastic Analysis of the LateralTorsional Buckling Resistance of Steel Beams with Random Imperfections, AIP Conference Proceedings, Vol.1558, 2013, pp. 2261-2264.

[11] TRAHAIR, N. S. The behaviour and design of steel structures, John Wiley and Sons, Ltd. 1977, p.320.

[12] ANSYS Element Reference, Release 12.1, ANSYS, Inc. 2009.

[13] Z. Kala, Reliability Analysis of the Lateral Torsional Buckling Resistance and the Ultimate Limit State of Steel Beams, Journal of Civil Engineering and Management, Vol.21, No.7, 2015, pp. 902–911.

[14] J. Atkočiūnas, T. Ulitinas, S. Kalanta, G. Blaževičius, An Extended Shakedown Theory on an Elastic–plastic Spherical Shell, Engineering Structures, Vol.101, 2015, pp. 352-363.

[15] Z. Kala, J. Kala, Variance-based Sensitivity Analysis of Stability Problems of Steel Structures, In Proc. of the Int. Conf. on Modelling and Simulation (MS'10), Edited by Štemberk, P., Prague (Czech Republic), 2010, pp. 207-211.

Cite this paper

Jan Vales, Zdenek Kala, Josef Martinasek. (2016) Solving Lateral Beam Buckling Problems by Means of Solid Finite Elements and Nonlinear Computational Methods. International Journal of Mathematical and Computational Methods, 1, 103-108