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  Volume 2, Number 2, April 2017 , pages 107-121
DOI: https://doi.org/10.12989/acd.2017.2.2.107
 

Optimal dimensioning for the corner combined footings
Sandra López-Chavarría, Arnulfo Luévanos-Rojas and Manuel Medina-Elizondo

 
Abstract
    This paper shows optimal dimensioning for the corner combined footings to obtain the most economical contact surface on the soil (optimal area), due to an axial load, moment around of the axis X and moment around of the axis Y applied to each column. The proposed model considers soil real pressure, i.e., the pressure varies linearly. The classical model is developed by trial and error, i.e., a dimension is proposed, and after, using the equation of the biaxial bending is obtained the stress acting on each vertex of the corner combined footing, which must meet the conditions following: 1) Minimum stress should be equal or greater than zero, because the soil is not withstand tensile. 2) Maximum stress must be equal or less than the allowable capacity that can be capable of withstand the soil. Numerical examples are presented to illustrate the validity of the optimization techniques to obtain the minimum area of corner combined footings under an axial load and moments in two directions applied to each column.
 
Key Words
    corners combined footings; optimization techniques; contact surface; more economical dimension; optimal area
 
Address
Sandra López-Chavarría, Arnulfo Luévanos-Rojas and Manuel Medina-Elizondo: Institute of Multidisciplinary Researches, Autonomous University of Coahuila, Blvd. Revolución No. 151 Ote, CP 27000, Torreón, Coahuila, México
 

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