CGCivil Geo Tools

Foundations

Bearing Capacity Calculator

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

Engineering schematic

Shallow footing bearing model

Static symbolic figure. Enter project values in the calculator fields below.

Shallow footing section showing width B, embedment depth D sub f, bearing pressure q sub u, bearing zone, and soil parameters c, phi, and gamma.
Symbols
B
footing width
embedment depth to foundation base
qᵤ
ultimate bearing pressure
c, φ, γ
cohesion, friction angle, and soil unit weight

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. Surcharge at footing base
    q=γDf=120×3=360q=\gamma D_f=120\times3=360
  2. Bearing-capacity factors
    ϕ=30,Nc=30.14,Nq=18.4,Nγ=22.4\phi=30^{\circ},\quad N_c=30.14,\quad N_q=18.4,\quad N_\gamma=22.4
  3. Capacity components
    qc=0,qq=6624.4,qγ=5376.6q_c=0,\quad q_q=6624.4,\quad q_\gamma=5376.6
  4. Ultimate and allowable capacity
    qu=12001,qall=120013=4000.33q_u=12001,\qquad q_{\mathrm{all}}=\frac{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.

Assumptions

  • General shear bearing model
  • Level ground and concentric vertical load
  • Consistent unit system
  • Groundwater corrections are not included

Formula Used

qu=cNcsc+γDfNq+12γBNγsγq_u=cN_c s_c+\gamma D_fN_q+\frac{1}{2}\gamma BN_\gamma s_\gamma

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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