N_γfor rough strip footing using the method of characteristics

Abstract

By using the method of characteristics, the bearing capacity factor Nγ was computed for a rough strip footing. The analysis was performed by considering a curved nonplastic wedge under the foundation base bounded by curved slip lines being tangential to the base of the footing at its either edge and inclined at an angle π/4 - ϕ/2 with the vertical axis of symmetry. The existing theories in the literature for rough footings, which usually employ a triangular wedge below the footing base, were generally found to provide greater values of Nγ as compared with the results obtained in this contribution.Key words: bearing capacity, foundations, failure, numerical modeling, plasticity.

Influence of nonassociativity on the bearing capacity factors of a circular footing

“…For N q , the values from the present simulation are a little smaller than those obtained from Refs. [3,18]. For N γ , when ϕ = 5 • , the values from the present analysis are larger than those from Refs.…”

“…Bolton et al [3,14,16] determined the factors N c for frictional and frictionless material and Cox [17] determined the factors N γ for smooth footings by means of the method of characteristics. Kumar et al [18] determined the value of N γ for a circular rough footing by using the method of characteristics with an associative flow rule. Although the researchers have already found that the nonassociativity of soil had an important influence on the bearing capacity of footings, it is noted that the variation of both friction angle ϕ and dilation angle ψ in these studies are limited to a small range of nonassociativity.…”

The variation of Nγ with footing roughness using the method of characteristics

“…In order to arrive at the vertical pressure ( p) along the footing base (CE) above the trapped wedge, similar to the previous analysis of the author [22], it was assumed that for any element efgh, within trapped wedge as shown in Figure 2, the resultant of the shear forces along the vertical planes eh and fg does not have any contribution in the vertical direction.…”

Lower Bound Limit Analysis of Strip Footings Resting on Cohesive Soils

“…Finding accurate prediction for the bearing capacity of strip footings is one of the fundamental problems in geotechnical engineering and, several researches are devoted to the subject [1]- [3]. An appealing choice to solve such problems is the application of numerical limit analysis (NLA).…”