CGCivil Geo Tools

Geotechnical Engineering

Bearing Capacity Calculator

Screen shallow foundation bearing capacity using a Terzaghi-style calculation.

Parameter sketch

Shallow footing bearing model

Labels update with the current input values so the formula symbols stay tied to the geometry.

PB = 4Df = 3gamma = 120c = 0phi = 30 degFooting: stripFS = 3
B: 4Df: 3c: 0phi: 30 degFS: 3

Result

Allowable bearing pressure: 4000.33 psf or kPa in consistent input units

Nc

30.14

Nq

18.4

N gamma

22.4

Ultimate bearing capacity

12001

Allowable bearing capacity

4000.33

Step-by-step calculation

  1. Compute surcharge at footing base: gamma x Df = 120 x 3 = 360.
  2. Bearing factors for phi = 30 deg: Nc=30.14, Nq=18.4, Ngamma=22.4.
  3. Cohesion term = 0; surcharge term = 6624.4; width term = 5376.6.
  4. Ultimate capacity = 12001; allowable = 12001 / 3 = 4000.33.

What this means

This is a preliminary Terzaghi-style estimate. Settlement, groundwater, load inclination, and local code checks may govern design.

Formula Used

qu = cNcsc + gamma Df Nq + 0.5 gamma B Ngamma sgamma

Step-by-Step Example

For c=0, gamma=120 pcf, B=4 ft, Df=3 ft, phi=30 deg, FS=3, allowable pressure is about 2,992 psf.

Engineering Notes

Check units, assumptions, boundary conditions, groundwater, drainage, and whether the simplified method is appropriate before using a result in any project decision.

FAQ

Does the calculator include settlement?

No. Bearing and settlement are separate checks; settlement often controls.

Can I use metric units?

Yes, if all stress and length inputs are internally consistent.

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