Theoretical Bearing Capacity of Very Shallow Footings

Larkin, L.A.

doi:10.1061/jsfeaq.0001200

Cited by 42 publications

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“…Whereas, the magnitude of bearing capacity factors N c and N q given by Prandtl and Reissner (1924) based on the slip line method are known to be exact, a wide scatter between published values for the bearing capacity factors N γ exists. The solutions for N γ have been obtained by various researchers using (i) the method of stress characteristics (Sokolovski, 1960;Larkin, 1968;Bolton and Lau, 1993;Kumar, 2003), (ii) the limit equilibrium method (Terzaghi, 1943;Meyerhof, 1957;1963), (iii) an upper bound limie analysis with the assumption of collapse mechanism ( Chen and Liu, 1990;Michalowski, 1997;Zhu et al, 2001), and (iv) the lower and upper bound limit analysis with the use of finite elements (Sloan, 1988;Sloan and Kleeman, 1995;Ukritchon et al,2003;Hjiaj et al, 2005). By using the slip line method, Martin (2005) computed N γ with respect to variation in soil-footing interface friction angle (δ) for different values of the angle of internal friction ().…”

Section: Introductionmentioning

confidence: 99%

ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

Snodi

2011

DJES

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By using the method of characteristics (commonly referred to as the slip line method), the values of the bearing capacity factor Nγ were computed for rigid surface strip and circular footings with smooth and rough bases. The analyses of bearing capacity for vertically loaded footings using the method of characteristics have been implemented in the publicly available computer program ABC, then Nγ –values were calculated theoretically. The supporting soil is modeled as a frictional Mohr – Coulomb material. For both footings, the value of the bearing capacity factor Nγ was found to increases significantly with an increase in the angle of internal frictionf. When friction angle of soil f ≤25°, the computed values of Nγ for circular footing were found to smaller than those for strip footing and for larger values of f, the magnitude of Nγ for circular footing were greater than those for strip footing for both smooth and rough base of footings. On the other hand, the magnitude of Nγ for rough footings was seen be higher than for a footings with smooth base. The obtained results were compared with those available in the literature, and reasonable agreements were observed.

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Section: Introductionmentioning

confidence: 99%

ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

Snodi

2011

DJES

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

Kumar¹

2008

Num Anal Meth Geomechanics

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SUMMARYBy using the method of characteristics, the effect of footing-soil interface friction angle ( ) on the bearing capacity factor N was computed for a strip footing. The analysis was performed by employing a curved trapped wedge under the footing base; this wedge joins the footing base at a distance B t from the footing edge. For a given footing width (B), the value of B t increases continuously with a decrease in . For = 0, no trapped wedge exists below the footing base, that is, B t /B = 0.5. On the contrary, with = , the point of emergence of the trapped wedge approaches toward the footing edge with an increase in . The magnitude of N increases substantially with an increase in /. The maximum depth of the plastic zone becomes higher for greater values of /. The results from the present analysis were found to compare well with those reported in the literature.

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Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis

Kumar

Khatri

2011

Num Anal Meth Geomechanics

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SUMMARYBy using the lower bound limit analysis in conjunction with finite elements and linear programming, the bearing capacity factors due to cohesion, surcharge and unit weight, respectively, have been computed for a circular footing with different values of . The recent axisymmetric formulation proposed by the authors under = 0 condition, which is based on the concept that the magnitude of the hoop stress ( ) remains closer to the least compressive normal stress ( 3 ), is extended for a general c-soil. The computational results are found to compare quite well with the available numerical results from literature. It is expected that the study will be useful for solving various axisymmetric geotechnical stability problems.

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Theoretical Bearing Capacity of Very Shallow Footings

Cited by 42 publications

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ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

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

Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis

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Theoretical Bearing Capacity of Very Shallow Footings

Cited by 42 publications

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ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

ESTIMATION OF (Nγ) FOR STRIP AND CIRCULAR FOOTINGS USING THE METHOD OF CHARACTERISTICS

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

Bearing capacity factors of circular foundations for a general c–ϕ soil using lower bound finite elements limit analysis

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