Two simple integral equation methods are proposed for the aaalysis of vertical loaded pile.One of them is; let the aaisymmetrical loads formed by Mindlin's horizontal point forces be distributed along the azis z in [0,L] of the elastic half-space,and composed with the Boussinesq's point force.The other is; in addition to the above fictitious loads,the Mindlin's vertical forces are distributed along the azis z in [0,L].The former reduces the problem of a vertical loaded pile embedded in a half-space with the following boundary conditions.
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