Influence of Limit State Function’s Form of Geotechnical Structures on Approximate Analytical Reliability Methods

Approximate analytical methods have been frequently used in geotechnical engineering to estimate the reliability of structures due their efficiency and simplicity. The main spirit these is using moments limit state function index. However, are strongly dependent on form function, resulting fact that sensitive functions. This study aims systematically explore how various equivalent forms functions affect performance several commonly approximate methods, including first-order second-moment method, point estimation method. applicable conditions illustrated through five typical examples. results indicate estimated accuracy for method affected by Although does not it affects computational efficiency. with an logarithmic almost always favorable investigated examples thus recommended practice.