Reliability Analysis of Circular Footing by Using GP and MPMR

Circular footings are designed to bear a load of super structures. Studies have been done on the influence of soil properties on bearing capacity of shallow foundations. The use of circular foundation is practical in geotechnical engineering. During the design of circular footing, bearing capacity of soil is taken into consideration, and cohesion (c), unit weight (gamma), and angle of internal friction (phi) are the most variable parameters. Reliability analysis is used frequently for the design of circular footing. Most of the authors have used first order second moment methods (FOSM). However, FOSM is a time-consuming method. Drawbacks of FOSM have been overcome by genetic programming (GP), minimax probability machine regression (MPMR). This article gives a distinct analysis between the developed MPMR based FOSM and GP-based FOSM.

Automated summary

Circular footings are designed to bear the load of super structures, with soil properties influencing their bearing capacity. The use of circular foundations is practical in geotechnical engineering. Authors have used first order second moment methods for design, but drawbacks have been overcome by genetic programming and minimax probability machine regression. This article provides a detailed analysis between the developed MPMR based FOSM and GP-based FOSM.