Abstract:

The classic m-method for the calculation of laterally loaded single pile is mathematically simplified. A numerical fitting of high precision is given to the calculation parameters selected by looking up table and by interpolation with the classic m-method. Comparison of engineering examples shows that the elastic analytical solution by fitting is more accurate, reliable and efficient. In addition, since large horizontal load will lead to plastic yield in the top soil layer above the single pile, the horizontal displacement of the pile will be remarkably  smaller if the classic m-method is still employed. On the basis of the fitted elastic analytic solution proposed in this research and the equilibrium differential equation for plastic zone, as well as the method of undetermined coefficient, the nonlinear semi-empirical analytical solution of horizontal displacement on the pile head which takes the plastic yield of pile head into account is given. Calculation example verifies that the results by this semi-empirical plastic analytical solution is generally the same with observed results and meets the requirements of engineering practice.  

Key words: coefficient of horizontal reaction force of foundation, m-method for laterally loaded single pile, yield displacement of soil, elastic-plastic analytical solution