Based on the virtual work increment equation of updated Lagrangian formulation,a two-node catenary cable element for the geometrical non-linear analysis of suspension bridge's main cable was developed.Furthermore a fine iterative method of simulating construction stages of self-anchored suspension bridge was investigated.Two methods were put forward to simulate the construction of the main girder of Pingsheng Bridge in Foshan,a single-tower self-anchored suspension bridge with a main span of 350 m,one of wh...