The total and differential settlements of representative sites were computed with layer wise summation method in conjunction with typical section of Shanghai-Nanjing expressway.

Some quantitative study on the relation between soil possion ratio and the settlement modification coefficient of the layer wise summation method were carried out based on nonlinear finite element program and several conclusions were obtained.

According to the load transfer mechanism and the layer wise summation method,a settlement prediction method for multi under reamed cast in situ pile foundation is presented,and the corresponding computer program is developed.

Analysis and amendment of layerwise summation method to calculate setting of ground;

Analysis and amendment of layerwise summation method for calculation setting of ground;

Solving the thin plates on Winkler’s foundation by the nonsingular boundary element method and the layerwise summation method,the deflection of the given point of the plate can be obtained.

In order to calculate the settlement of bored single pile with branches and plates,according to transmission mechanism of load stress through soil layers,the additional stresses of soil layers were gained by sectional dispersion of stresses,then the settlement of the single pile was calculated through layer-wise summation method usually used in engineering.

The authors propose a way to analyze thick-raft footings by nonsingular boundary element method (BEM) and layer-wise summation method in this paper.

According to the principle of layer-wise summation method,the elastic theory method based on the Mindlin displacement solution is extended,an approximate method for calculating the settlement of single pile in lay- ered soils is established.

Make improvement to the sum of the years digit method, propose a more adaptable definition for the accelerated depreciation and calculate the monthly depreciation directly——the sum of the months method.