Optimal Design of Reinforced Pad Foundation and Strip Foundation

Abstract

This article presents an optimal design for reinforced pad and strip foundations, based on multiparametric, mixed-integer, and nonlinear programming (MINLP) optimizations. For this purpose, a MINLP optimization model STRIPPAD was developed. The model is based on an accurate objective function of the structure production costs. It was subjected to design, resistance, stiffness, and settlement constraints that satisfy the requirements of the ultimate and serviceability limit states of the Eurocode specifications and recommendations for design and analysis of earth structures using geosynthetic reinforcements. The optimal design of the reinforced pad foundation and strip foundation was investigated for design parameters that have a significant impact on structure costs. A series of MINLP optimizations was done over a wide range of various parameters: different vertical loads on the strip foundation, alternatives of discrete cross sections, and different friction angles of the soil. Based on these results, an optimal design for reinforced pad and strip foundations was developed. Economically suitable foundation types for various soil and load conditions were found.