Nγ for rough strip footing using the method of characteristics

2003 ◽  
Vol 40 (3) ◽  
pp. 669-674 ◽  
Author(s):  
Jyant Kumar
Keyword(s):  
Numerical Modeling ◽  
Bearing Capacity ◽  
Method Of Characteristics ◽  
Vertical Axis ◽  
Strip Footing ◽  
Slip Lines ◽  
The Method Of Characteristics ◽  
Foundation Base ◽  
Axis Of Symmetry ◽  
Bearing Capacity Factor

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.

Bearing capacity factor Nγ for ring footings using the method of characteristics

2005 ◽  
Vol 42 (5) ◽  
pp. 1474-1484 ◽  
Author(s):  
Jyant Kumar ◽  
Priyanka Ghosh
Keyword(s):  
Bearing Capacity ◽  
Method Of Characteristics ◽  
Friction Angle ◽  
Outer Edge ◽  
Capacity Factor ◽  
The Method Of Characteristics ◽  
Axis Of Symmetry ◽  
Bearing Capacity Factor

The bearing capacity factor Nγ was determined for both smooth and rough ring footings using the method of stress characteristics. The analysis was based on the assumption that for a rough footing the friction angle (δ) between the footing base and underlying cohesionless material increases gradually from zero along the axis of symmetry to ϕ along the outer edge of the footing. The value of Nγ was found to decrease significantly with an increase in ri /ro, where ri and ro are the inner and outer radii of the ring, respectively. For larger values of ϕ, the magnitude of Nγ for a rough footing was seen to be significantly higher than that for a smooth footing. The obtained results were compared with those available in the literature.Key words: bearing capacity, failure, foundations, method of characteristics, plasticity.

Numerical modeling of EM fields over local anomalies with a vertical axis of symmetry

1990 ◽  
Vol 60 (1-4) ◽  
pp. 53-61 ◽  
Author(s):  
Michael S. Zhdanov ◽  
Vjacheslav V. Spichak ◽  
Leonid Yu. Zaslavsky
Keyword(s):  
Numerical Modeling ◽  
Vertical Axis ◽  
Axis Of Symmetry ◽  
Local Anomalies

Use of critical state representations of sand in the method of stress characteristics

1987 ◽  
Vol 24 (3) ◽  
pp. 441-446 ◽  
Author(s):  
M. G. Jefferies ◽  
K. Been
Keyword(s):  
Bearing Capacity ◽  
Key Words ◽  
Critical State ◽  
Method Of Characteristics ◽  
Kinematic Constraint ◽  
Kinematic Constraints ◽  
The Method Of Characteristics ◽  
State Stress

The limitations of critical state representations of sand behaviour are discussed and it is shown that stress dilatancy is an implicit part of a critical state framework. It is then argued that dilatancy leads to underestimates of bearing capacity factors in the method of characteristics. Kinematic constraints should also be considered in such calculations. Both dilatancy and kinematic constraint may be introduced into a stress characteristics approach while preserving critical state characterization of sand, using the technique known as the method of associated fields. Key words: bearing capacity, critical state, stress dilatancy, method of characteristics.

Seismic bearing capacity of a strip footing on rock slopes

2009 ◽  
Vol 46 (8) ◽  
pp. 943-954 ◽  
Author(s):  
Xiao-Li Yang
Keyword(s):  
Bearing Capacity ◽  
Failure Criterion ◽  
Strip Footing ◽  
Rock Slopes ◽  
Coulomb Failure ◽  
Coulomb Failure Criterion ◽  
Seismic Bearing Capacity ◽  
Earthquake Effects ◽  
Almost All ◽  
Bearing Capacity Factor

Most of the seismic calculations currently used for the evaluation of seismic bearing capacity are formulated in terms of a linear Mohr–Coulomb failure criterion. However, experimental evidence shows that a nonlinear failure criterion is able to represent fairly well the failure of almost all types of rocks. In this paper, a nonlinear Hoek–Brown failure criterion is used to estimate the seismic bearing capacity factor of a strip footing on rock slopes in a limit analysis framework. Quasi-static representation of earthquake effects using a seismic coefficient is adopted for the seismic bearing capacity calculations. A linear Mohr–Coulomb failure criterion, tangent to the nonlinear Hoek–Brown failure criterion, is used to derive the objective function that is to be minimized. Upper-bound solutions are obtained by optimization. For static problems, bearing capacity factors related to uniaxial compressive strength, Nσ, are compared. For seismic problems, Nσ factors for different ground inclinations are presented for practical use in rock engineering.

Bearing capacity analysis using the method of characteristics

2013 ◽  
Vol 29 (2) ◽  
pp. 179-188 ◽  
Author(s):  
Jian-Ping Sun ◽  
Zhi-Ye Zhao ◽  
Yi-Pik Cheng
Keyword(s):  
Bearing Capacity ◽  
Method Of Characteristics ◽  
Capacity Analysis ◽  
The Method Of Characteristics
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