The statistical uncertainty characteristics of random parameters in geotechnical engineering makes the reliability design have certain risks. The robust geotechnical design (RGD) method can minimize the effects of variation in the geotechnical parameters on the system response

by explicitly considering robustness in the design process along with safety and economic requirements. Aiming at the influence of the statistical uncertainty characteristics of random parameters on the independent foundation design under the column

the foundation geometry is regarded as controllable design parameters to conducting design analysis. Analysis considers the influence of the statistical uncertainty of the mechanical parameters of rock and soil

concrete and steel material and based on reliability theory and robust design method of geotechnical engineering. In this paper

the robustness design of the structural system under multiple failure modes is carried out

and the relationship between structural geometric parameters and structural system reliability under multiple failure modes is analyzed by viewing four failure modes: independent foundation bearing capacity

foundation deformation

infrastructure punching shear failure and foundation bending failure as series system. Finally

the optimal solution of the design of independent foundation under column is determined combining with robustness and economic efficiency.