Closed-Form Solution for Reinforced Timoshenko Beam on Elastic Foundation
Publication: Journal of Engineering Mechanics
Volume 126, Issue 8
Abstract
This paper suggests a method for obtaining closed-form solutions for a reinforced Timoshenko beam on an elastic foundation subjected to any pressure loading. A particular solution is obtained for uniform pressure loading at any location of the beam. This solution can be used to calculate settlement, rotation, tension, bending moment, and shear force of the beam. A parametric study is carried out to investigate the effects of geosynthetic shear stiffness and tension modulus and the location of the pressure loading. Results are presented and discussed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bowles, J. E. (1996). Foundation analysis and design, McGraw-Hill, New York.
2.
Cowper, G. R. (1966). “The shear coefficients in Timoshenko's beam theory.” J. Appl. Mech., 33, 335.
3.
Hausmann, M. R. (1990). Engineering principles of ground modification, McGraw-Hill, New York.
4.
Koerner, R. M. (1997). Designing with geosynthetics, 3rd Ed., Prentice-Hall, Englewood Cliffs, N.J.
5.
Pasternak, P. L. (1954). “On a new method of analysis of an elastic foundation by means of two foundation constants.” Gosudarstvennoe Izdatelstro Liberaturi po Stroitelsvui Arkhitekture, Moscow (in Russian).
6.
Selvadurai, A. P. S. (1979). Elastic analysis of soil-foundation interaction: Development of geotechnical engineering,” Elsevier Scientific, Amsterdam.
7.
Shukla, S. K., and Chandra, S. (1994). “A study of settlement response of a geosynthetic-reinforced compressible granular fill-soft soil system.” Geotextiles and Geomembranes, 13(9), 627–639.
8.
Timoshenko, S. P. (1921). “On the correction for shear of the differential equation for transverse vibration of prismatic bars.” Philosophical Mag., 41, 744.
9.
Vesic, A. S. (1961). “Beams on elastic subgrade and Winkler's hypothesis.” 5th Int. Conf. on Soil Mech. and Found. Engrg., Paris, 1, 845–850.
10.
Wang, C. M. (1997). “Viscoelastic Timoshenko beam solutions from Euler-Bernouli solution.”J. Engrg. Mech., 123(7), 746–748.
11.
Winkler, E. (1867). Die Lehre von Elastizitat und Festigkeit (On elasticity and fixity), Prague, 182.
12.
Yin, J.-H. (1997a). “Modelling geosynthetic-reinforced granular base over soft soil.” Geosynthetics Int., 4(2), 168–185.
13.
Yin, J.-H. (1997b). A non-linear model for geosynthetic-reinforced granular fill over soft soil. Geosynthetics Int., 4(5), 523–537.
14.
Yin, J.-H. (2000). Comparative modeling study on reinforced beam on elastic foundation. J. Geotech. and Envir. Engrg., ASCE, 126(3), 265–271.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 126 • Issue 8 • August 2000
Pages: 868 - 874
History
Received: Apr 1, 1999
Published online: Aug 1, 2000
Published in print: Aug 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.