Abstract
An analytical bending solution for the analysis of a long beam on an elastic foundation made of an expansive soil is presented in this paper. The soil is assumed to be homogenous with a constant subgrade reaction. After this soil gets access to water in a certain region within the length of the beam, the soil swells. The soil swelling has been subsumed under an upward swell load as a result of the swell pressure times the width of the beam. The swell pressure can be determined experimentally for a given type of soil. A typical application of the proposed method is the foundation of a long masonry load-bearing wall constructed on expansive soil. The accuracy of the proposed solution has been verified through a numerical example, and the results are found to be in excellent agreement with the finite element method. The application of the proposed method in the design step has also been explained through two numerical examples.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chao, K.C.; Chao, G.K.; Overton, D.D.; Nelson, E.J.: Foundation Engineering for Expansive Soils. Wiley, New York (2015)
Charlie, W.A.; Osman, M.A.; Ali, E.M.: Construction on expansive soils in Sudan. J. Constr. Eng. Manag. 110(3), 359–374 (1984)
Zumrawi, M.M.E.: Construction problems of light structures founded on expansive soils in Sudan. Int. J. Sci. Res. 4(8), 896–902 (2013)
Rogers, J.D.; Olshansky, R.; Rogers, R.B.: Damage to foundations from expansive soils. Claims People 3(4), 1–4 (1993)
Tang, A.M.; Cui, Y.J.; Trinh, V.N.; Szerman, Y.; Marchadier, G.: Analysis of the railway heave induced by soil swelling at a site in southern France. Eng. Geol. 106(1), 68–77 (2009)
Lucian, C.: Geotechnical aspects of buildings on expansive soils in Kibaha, Tanzania. Doctoral Dissertation, KTH (2008)
Zumrawi, M.M.E.: Swelling potential of compacted expansive soils. Int. J. Eng. Res. Technol. 2(3), 1–6 (2013)
Krilov, A.N.: On Analysis of Beams Resting on Elastic Foundation. Science Academy of USSR, Leningrad (1931)
Biot, M.A.: Bending of an infinite beam on an elastic foundation. J. Appl. Mech. 2(3), 165–184 (1937)
Hetenyi, M.: Beams on Elastic Foundation. University of Michigan Press, Ann Arbor (1946)
Miranda, C.; Nair, K.: Finite beams on elastic foundation. J. Struct. Div. ASCE 92, 131–142 (1966)
Ting, B.Y.: Finite beams elastic foundation with re-straints. J. Struct. Div. ASCE 108(3), 61l–621 (1982)
Teodoru I.B.: Analysis of beams on elastic foundation: the finite differences approach. In: Proceedings of ‘Juniorstav 2007’, 9-th Technical Conference for Doctoral Study, Brno University of Technology, Czech Repulic (2007)
Teodoru, I.B.: EBBEF2p—a computer code for analysing beams on elastic foundations. Intersections 6(1), 28–44 (2009)
Ugural, A.C.; Fenster, S.K.: Advanced Mechanics of Materials and Applied Elasticity. Pearson Education, London (2011)
Bowles, L.E.: Foundation Analysis and Design. McGraw-Hill, New York (1996)
Acknowledgements
The author gratefully acknowledges King Fahd University of Petroleum and Minerals (KFUPM) and the faculty members Prof. Husain J. Al-Gahtani and Dr. Faisal M. Mukhtar for the provided support to this work. The author is also very grateful to his friends: Mr. Khaled Mukhtar, Mr. Yassir Mubarak, and Mr. Mahmoud Omer for their support and encouragement.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Musa, A.E.S. An Analytical Bending Solution for Analysis and Design of Long Beams Constructed on the Expansive Soil. Arab J Sci Eng 43, 5203–5214 (2018). https://doi.org/10.1007/s13369-017-3041-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-017-3041-x