Abstract
An exact formulation is presented for the lateral loading of a rigid tube of finite length embedded in a semi–infinite medium. The asymmetric mechanical interaction problem, which is relevant to the analysis of anchors and caissons in foundation engineering, is shown to be reducible to three coupled Fredholm integral equations. By analysis of the kernels involved, the fundamental singular characteristics of the radial, angular and vertical interfacial reactions acting on the foundation are explored. The results are incorporated into a computational scheme which permits the efficient evaluation of the contact loads and other structural responses. Solutions of the three–dimensional load–transfer, shear and bending moment diagrams, as well as the elements of the stiffness matrix pertaining to the coupled translation–rocking problem, are shown. L'article propose une formulation exact due chargement lateral exercé sur une conduite rigide de longueur finie encastrée dans un milieu semiinfini. Comme pour les pieux et caissons, le probléme mécanique asymétrique peut se réduire à trois équations à intégrales de Fredholm. Les caractéristiques singuliéres fondamentales des réactions interfaciales radiales, angulaires et verticales existant au niveau de la fondation sont rendues explicites aprés analyse des noyaux. Les valeurs sont introduites dans un algorithme qui permet d'évaluer les charges et les autres réponses structurales. L'article est illustré par des solutions du transfert de charge tridimensionnel, des diagrammes du cisaillement et des moments fléchissants, ainsi que par les éléments de la matrice rigide intervenant dans le problàme de translation-basculement.
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