Comptes Rendus
Bearing capacity of strip footings with horizontal confinement
Comptes Rendus. Mécanique, Volume 331 (2003) no. 5, pp. 319-324.

For a strip footing under axial loading, the bearing capacity is influenced by the presence of rigid walls confining the foundation soil. This problem is investigated within the framework of the theory of yield design, considering both a perfectly rough and a frictionless contact condition at the interfaces with the walls in the case of a purely cohesive soil. Upper bounds for the correction factor to be applied to the classical value of the bearing capacity are determined, as functions of the non-dimensional geometric parameter of the problem, through the kinematic approach, implementing virtual velocity fields inspired from the solution to the problem of inverted extrusion. In the perfectly rough case, it appears that the new upper bound is a significant improvement of those already available. A very simple relationship is established, which derives the upper bound for the frictionless walls from the upper bound for the rough walls. A general conclusion of the analysis is that, for the values of the geometric parameter that are likely to be encountered in practice, the increase in the bearing capacity due to the presence of the rigid walls remains very small.

La présence de parois rigides au voisinage d'une fondation superficielle influe sur la capacité portante de cette fondation. On étudie ce problème dans le cas d'un sol cohérent sans frottement interne en supposant que le contact avec les parois est soit parfaitement rugueux soit sans frottement. En mettant en œuvre l'approche cinématique du calcul à la rupture avec des champs de vitesse virtuels inspirés de l'étude de l'extrusion inverse, on détermine des bornes supérieures pour le facteur de correction à appliquer au coefficient classique de capacité portante, en fonction du paramètre géométrique adimensionnel du problème. Dans le cas des parois rugueuses, la nouvelle borne supérieure se révèle significativement meilleure que celles disponibles jusqu'alors. Une relation simple est établie qui permet d'obtenir la borne supérieure pour les parois lisses à partir de celle valable pour les parois rugueuses. En conclusion de l'analyse, il apparaı̂t que, pour les valeurs du paramètre géométrique réalistes du point de vue de la pratique, l'accroissement de capacité portante dû à la présence des parois rigides demeure faible.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0721(03)00071-8
Keywords: Soils, Bearing capacity, Confinement, Extrusion, Foundation, Yield design
Mot clés : Sols, Calcul à la rupture, Extrusion, Fondation, Force portante

Jean Salençon 1

1 École polytechnique, laboratoire de mécanique des solides, 91128 Palaiseau cedex, France
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Jean Salençon. Bearing capacity of strip footings with horizontal confinement. Comptes Rendus. Mécanique, Volume 331 (2003) no. 5, pp. 319-324. doi : 10.1016/S1631-0721(03)00071-8. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00071-8/

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