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Journal of Emerging Trends in Engineering and Applied Sciences (JETEAS)


Article Title: Variational Solution of Critical Normal Stress Distribution of Footing on Slope
by K.C. Onyelowe and J.C. Agunwamba

A mathematical technique is hereby advanced for investigating the normal stress distribution at failure of soil foundations. The stability equations are obtained using the limit equilibrium (LE) conditions. The additions of vertical, horizontal and rotational equilibria are transformed mathematically with respect to the soil shearing strength, leading to the derivation of the equation of the functional Q, and two integral constraints. Generally, no constitutive law beyond the Coulomb's yield criterion is incorporated in the formulation. Consequently, no constraints are placed on the character of the criticals except the overall equilibrium of the failing soil section. The critical normal stress distribution, $min, and consequently the load, Qmin, determined as a result of the minimization of the functional are the smallest stress and load parameters that can cause failure. In other words, for a soil with strength parameters c, @, &, and footing with geometry B, H, when stress & < &min (c, @, &, B, H) and load Q
Keywords: cohesion, internal frictions, stress distribution, rupture surface, shear stress, coordinate transformation, polar coordinates
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ISSN: 2141-7016

Editor in Chief.

Prof. Gui Yun Tian
Professor of Sensor Technologies
School of Electrical, Electronic and Computer Engineering
University of Newcastle
United Kingdom



Copyright © Journal of Emerging Trends in Engineering and Applied Sciences 2010