Analysis of sloping rigid pile under arbitrary loads by Line-Loaded Integral Equation Method*

The analysis of displacement of rigid sloping pile embedded in a homogeneous isotropic elastic half space under arbitrary loads at top can be decomposed into two plane systems, i.e., the inclined plane xoz and its normal plane yoz. Let Mindlin’s loads with unknown intensity function X(t), Z(t) (for xoz plane) and Y(t) (for yoz plane), parallel to x, z and y-axis respectively, be distributed along the t-axis of the pile in [0, Lj, then, according to the simplified boundary conditions, the problem is reduced to Fredholm integral equation of the first kind. Numerical solution is given and the accuracy of calculation is checked by the reciprocal theorem of work, which shows that the errors lie within 4%»