### Mathematical Modeling for Corner Strap Combined Footings Resting on the Ground: Part 2

Marina Lourdes Garcia Graciano, Arnulfo Luévanos Rojas, Sandra López Chavarría, Manuel Medina Elizondo

#### Abstract

This research shows a mathematical model for the design of corner strap combined footings supported on the ground that supports a concentrated load and two orthogonal moments in each column. It is considered that the pressure on the ground varies linearly. The first part of this investigation shows a model to obtain the minimum surface or optimal area in plan. The methodology is based on the concept that the integral of the bending shear is the moment. The traditional model considers a uniform pressure (maximum pressure) of the soil on the corner footing and the two edge footings, because the reaction of the soil on each footing is applied in the center of each footing. Four numerical examples are shown for the design of corner strap combined footings. This model is more general because it can be applied to corner combined footings, simply considering the sides in the X direction of the footings 1 and 3 equal, and the sides in the Y direction of the footings 1 and 2 equal.

#### Keywords

Mathematical modeling, corner strap combined footings, model for design

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