Finite-Element Modeling of Beams under Concentrated Loading
Publication: Journal of Structural Engineering
Volume 127, Issue 2
Abstract
A numerical study of aluminum and steel beams subjected to concentrated loading is performed and compared with experimental data from the literature. The modeled test specimen referred to simply supported beams where the concentrated loading is applied either at the midspan or at the end support, and the influence of varying bending moment and beam overhang is investigated. The modeled cross sections cover a wide range of web geometries and flange stiffnesses, and loading through both circular bars and rectangular bars are included. The contact between the beam specimen and the loading bars is modeled with a contact algorithm, and the problem is solved by an explicit code. The correlation between the experimental and numerical results is quite good, especially for the ultimate capacity where the difference between predictions and tests is not prominent when compared to the scatter in the test results. The error in the ultimate capacity from finite-element simulations is within 14% of the measured value, and for the web deformation, simulations can predict the main effects that are obtained from the tests. The results show that small elements are necessary for predicting the correct mode of failure, and the development of the local instability depends on the mass scaling and assumed imperfection field. Furthermore, brick elements seem appropriate for including the effect of hydrostatic pressure, and the adopted fracture model seems useful for predicting the crack development that was observed for some specimens.
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References
1.
ABAQUS—Theory manual—Version 5.5. (1995). Habbitt, Karlsson & Sorensen, Inc.
2.
Box, G. E. P., Hunter, W. G., and Hunter, J. S. ( 1978). Statistics for experiments, Wiley, New York.
3.
Elgaaly, M. ( 1983). “Web design under compressive edge loads.” Engrg. J., 20, 153–171.
4.
Granath, P. ( 1998). “Serviceability limit state for steel girders during bridge launching—A patch loading problem.” PhD thesis, Div. of Steel and Timber Struct., Chalmers University of Technology, Göteborg, Sweden.
5.
Herzog, M. ( 1992). “Web crippling with bending and shear of thin-walled plate girders.” J. Constr. Steel Res., 22(2), 87–97.
6.
Johansson, B., and Lagerqvist, O. ( 1995). “Resistance of plate edges to concentrated forces.” J. Constr. Steel Res., 32(1), 69–105.
7.
Johnson, G. R., and Cook, W. H. ( 1985). “Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures.” Engrg. Fracture Mech., 21(1), 31–48.
8.
Lagerqvist, O. ( 1995). “Patch loading—Resistance of steel girders subjected to concentrated forces.” PhD thesis, Div. of Steel Struct., Luleåa University of Technology, Luleåa, Sweden.
9.
Lemaitre, J. ( 1996). A course on damage mechanics, 2nd Ed., Springer, New York.
10.
LS-DYNA—Theoretical manual. (1998). J. O. Hallquist, ed., Livermore Software Technology Corp.
11.
Nicholas, T., and Rajendran, A. M. ( 1990). “Material characterization at high strain rates.” Chapter 3, High velocity impact dynamics, J. A. Zukas, ed., Wiley, New York, 127–296.
12.
Roberts, T. M. ( 1983). “Patch loading on plate girders.” Chapter 3, Plated structures—Stability and strength, R. Narayanan, ed., Applied Science Publishers, 77–102.
13.
Tryland, T., Hopperstad, O. S., and Langseth, M. ( 1998a). “Steel girders subjected to concentrated loading—Validation of numerical simulations.” J. Constr. Steel Res., 50(2), 199–216.
14.
Tryland, T., Hopperstad, O. S., and Langseth, M. ( 1998b). “Aluminum beams subjected to concentration loading.” Proc., 12th Engrg. Mech. Div. Conf., 660–663.
15.
Tryland, T., Hopperstad, O. S. and Langseth, M. ( 2000). “Design of experiments to identify material properties.” Mat. and Des., 21, 477–492.
16.
Tryland, T., Langseth, M., and Hopperstad, O. S. (1999). “Nonperfect aluminum beams subjected to concentrated loading.”J. Struct. Engrg., ASCE, 125(8), 900–909.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 127 • Issue 2 • February 2001
Pages: 176 - 185
History
Received: Apr 20, 1999
Published online: Feb 1, 2001
Published in print: Feb 2001
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