Hollow Core Slabs on Winkler Foundation

Adel A. Al-Azzawi


This research dealt with the linear elastic behavior of hollow core slabs resting on a linear Winkler type foundation. A finite difference method was used to model the slabs as wide beams and the foundation as elastic springs. The finite element method was also used to model the problem using ABAQUS 6.10 software program. A comparison between the method proposed in this paper and methods from previous studies was made to check the accuracy of the solutions. Several important parameters were incorporated in the analysis, viz. the hollow core size and shape, subgrade reaction and slab depth, to trace their effects on deflections, bending moments and shear forces. A computer program coded in Fortran was developed for the analysis of hollow core slabs on an elastic foundation. It was found that the maximum difference in deflection between the present study and the exact solution was 3% for the finite difference and 7% for the finite element method.


hollow core; finite differences; finite elements; slabs; Winkler foundation.

Full Text:



Al-Azzawi, A.A., Analysis of Timoshenko Beams Resting on Nonlinear Winkler Compressional and Frictional Foundation, ARPN Journal of Applied Science and Engineering, 6(11), pp. 95-109, 2011.

Tornabene, F., Fantuzzi, N., Bacciocchi, M., Mechanical Behaviour of Composite Cosserat Solids in Elastic Problems with Holes and Discontinuities, Composite Structures, 179, pp. 468-481, 2017.

Henry, F.D.C., The Design and Construction of Engineering Foundation (2nd Edition), E. & F.N. Spon, London, 1986.

Tiwari, K. & Kuppa, R., Overview of Methods of Analysis of Beams on Elastic Foundation, IOSR Journal of Mechanical and Civil Engineering, 11(5), pp. 22-29, 2014.

Zhan, Y.G., Modeling Beams on Elastic Foundations Using Plate Elements in Finite Element Method, Electronic Journal of Geotechnical Engineering 17, pp. 2063-2068, 2012.

Teodoru, I.B., Analysis of Beams on Elastic Foundation: The Finite Deference Approach, Gheorghe Asachi Technical University of Iasi, https://www.researchgate.net/publication/238769492_ANALYSIS_OF_BEAMS_ON_ELASTIC_FOUNDATION_THE_FINITE_DEFFERENCES_APPROACH, March 2018.

Al-Azzawi, A.A., Free Vibration of Simply Supported Beams on Elastic Foundation, Al-Nahrain Journal for Engineering Sciences, 20(2), 2017.

Selvadurai, A.P.S, Elastic Analysis of Soil-Foundation Interaction, Elsevier Scientific Publishing Company, 1979.

Amany, A. & Pasini, D., Material and Shape Selection for Stiff Beams under Non-Uniform Flexure, Materials and Design, 30(4), pp. 1110-1117, 2009.

Hetenyi, M., Beams on Elastic Foundation (9th Edition), University of Michigan press, Ann Arbor, Michigan, USA, 1974.

Bowles, J.E., Analytical and Computer Methods in Foundation Engineering, McGraw-Hill Book Company, New York, NY, USA, 1974.

DOI: http://dx.doi.org/10.5614%2Fj.eng.technol.sci.2018.50.6.3


  • There are currently no refbacks.