Soil Bearing Capacity Calculator

Calculate ultimate and allowable bearing capacity of soil using Terzaghi's bearing capacity theory for shallow foundations.

Soil and Foundation Parameters
Enter the soil properties and foundation dimensions

Clay: 10-100 kPa, Sand: 0-5 kPa, Silt: 5-25 kPa

Clay: 0-20°, Sand: 25-40°, Silt: 15-30°

Typical range: 16-22 kN/m³

Results
Calculated bearing capacity values

Bearing Capacity Factors

Nc

0.00

Nq

0.00

0.00

Ultimate Bearing Capacity

0.00 kPa

Allowable Bearing Capacity

0.00 kPa

Safety Assessment

Low bearing capacity - consider soil improvement or deeper foundations

Terzaghi's Bearing Capacity Theory
Mathematical formulas and theory behind the calculations

Ultimate Bearing Capacity Formula

qu = c × Nc + γ × D × Nq + 0.5 × γ × B × Nγ

Bearing Capacity Factors

Nc (Cohesion Factor)

Nc = (Nq - 1) / tan(φ)

Nq (Surcharge Factor)

Nq = e^(π×tan(φ)) × tan²(45° + φ/2)

Nγ (Unit Weight Factor)

Nγ = 2 × (Nq - 1) × tan(φ)

Allowable Bearing Capacity

qa = qu / SF

Where: c = Cohesion (kPa), φ = Internal friction angle (degrees), γ = Unit weight of soil (kN/m³), D = Foundation depth (m), B = Foundation width (m), SF = Safety factor, qu = Ultimate bearing capacity (kPa), qa = Allowable bearing capacity (kPa)