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For the high-rise building with the basement, it is difficult to identify the position of the embedded fixed end due to the restraints of the backfill soil foundation. The simplified mechanical model of the high-rise building with the basement is established based on several hypotheses, and the mathematical expressions for calculating the elastic lateral displacement and internal forces of the high-rise building with the basement under the inverted-triangle distributed load is then obtained based on the mechanical theory. The influence of parameters and h/H to four variable parameters are researched, and the four variable parameters are the moment M(0)and shear Q(0) at the bottom plate of the basement, the lateral displacement y(h) at the top plate of the basement, the lateral displacement y(H) at the top of the whole structure. Research indicates that the simplified algorithms of the high-rise building with the basement considering the restraint of the backfill soil foundation are reliable, and can be referred and applied by the researchers and engineers.

Simplified Algorithms of the High-rise Building with the Basement Considering the Restraint of the Backfill Soil Foundation