Probabilistic Analysis of Shallow Foundations on c-φ Soils Using 2nd Order Response Surface Methods

The HL-Reliability Index is utilized to investigate the applicability of several linear and nonlinear response surface models based on design experiments techniques evaluate safety under random loading, against bearing capacity failure shallow foundations resting c-φ soils with multivariate correlated variables. reliability results obtained using FORM/SORM coupled these models, are checked by Monte Carlo simulation method. It demonstrated that application significantly reduces execution time memory requirements, central composite scheme being most accurate. also concluded, consideration correlation, affects index for large values soil friction angle uncertainty. found be highly sensitive uncertainties more than cohesion loading which have approximately same influence, especially case lognormally distributed In addition, probabilistic show decreases substantially increase applied pressure, there significant difference between indices computed, assumption normal distribution as compared lognormal distribution, lower ranges loading.