The method combining B-spline wavelet on the interval(BSWI)with two kinds of variables finite element theory was adopted.By selecting the scaling functions of BSWI as the construction unit of the interpolating functions of wavelet finite element method

the boundary continuity was ensured

on the basis of relationship between the base function coefficients and the physical parameters need to be obtained.The one-dimensional two kinds of variables BSWI loadbearing beam model was established via the whole discrete domain method.Comparison between the modelling results and that of the classic computation examples verifies that

the constructed model has high solving accuracy and efficiency in variable cross-section and loading cases.