Surface Settlement Due to Shear Stresses at Depth
Publication: Journal of Geotechnical Engineering
Volume 120, Issue 7
Abstract
Mindlin's solution for surface vertical displacement due to a horizontal force at depth is first examined and then integrated for shear stresses acting on a long rectangular reinforcing strip. Four types (constant, linear decrease, power‐law decrease, and triangular) of shear stress variations, are considered. These variations are possible as a result of interaction between a reinforcement strip and the soil. The constant variation of shear stress corresponds to full mobilization, whereas the triangular one corresponds to a linearized approximation of Binquet and Lee's shear‐stress variation. Results presented quantify the effects of length, depth, and distance of the loaded area from the surface point; and of the Poisson's ratio of the soil on the displacement of the surface point. The heave or the settlement reductions are noted to be largest if the reinforcement strip on which shear‐stress variations are considered has a length 2.5 to 3.0 times the width of the surface load or is located at a depth 0.25 to 0.375 times the width of the same. The results are useful in estimating settlement reduction due to strip reinforcement of soil beneath surface loads.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Binquet, J., and Lee, K. L. (1975). “Bearing capacity analysis of reinforced earth slabs.” J. Geotech. Engrg., ASCE, 101(12), 1257–1276.
2.
Feda, J. (1978). Stress in subsoil and methods of final settlement calculation. Elsevier Scientific Publishing Co., Amsterdam, The Netherlands.
3.
Giroud, J. P. (1968). “Settlement of linearly loaded rectangular area.” J. Soil Mech. & Found., ASCE, 94(4), 813–831.
4.
Gray, H. (1936). “Stress distribution in elastic solids.” Proc., I Int. Conf. Soil Mech. Found. Engrg., 2, 157.
5.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi‐infinite solid.” J. Appl. Phys., 7(5), 195–202.
6.
Nishida, Y. (1966). “Vertical stresses and vertical deformation of ground under a deep circular uniform pressure in the semi‐infinite.” Proc., First Congr. Rock Mech., 2, 493–498.
7.
Poulos, H. G., and Davis, E. H. (1975). Elastic solutions for soil and rock mechanics. John Wiley and Sons, New York, N.Y.
8.
Teferra, A., and Schultz, E. (1988). “Formulae, charts and tables in the area of soil mechanics and foundation engineering, stresses in solids.” A. A. Balkema Publishing Co., Amsterdam, The Netherlands.
9.
Vaziri, H., Simpson, B., Pappin, J. W., and Simpson, L. (1982). “Integrated form of Mindlin's equations.” Géotechnique, London, England, 32(3), 275–278.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Mar 26, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994
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.