Bearing Capacity Factors: Hansen
Bearing capacity factors (Nc, Nq, N_gamma) by friction angle for foundation design — Terzaghi, Meyerhof, Hansen, and Vesic methods
| method | phi deg | N gamma (dimensionless) | Nc (dimensionless) | Nq (dimensionless) | Nq Nc ratio (dimensionless) | notes |
|---|---|---|---|---|---|---|
| Hansen | 0 | 0 | 5.14 | 1 | 0.194553 | Nq=exp(pi*tan(phi))*tan2(45+phi/2); Nc=(Nq-1)*cot(phi); Ngamma=1.5*(Nq-1)*tan(phi); general shear failure |
| Hansen | 1 | 0.002458 | 5.379262 | 1.093895 | 0.203354 | Nq=exp(pi*tan(phi))*tan2(45+phi/2); Nc=(Nq-1)*cot(phi); Ngamma=1.5*(Nq-1)*tan(phi); general shear failure |
| Hansen | 2 | 0.010301 | 5.6316 | 1.19666 | 0.21249 | Nq=exp(pi*tan(phi))*tan2(45+phi/2); Nc=(Nq-1)*cot(phi); Ngamma=1.5*(Nq-1)*tan(phi); general shear failure |
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