Soil Bearing Capacity Calculator

What is a Soil Bearing Capacity Calculator?

What is Soil Bearing Capacity (SBC)?

Safe Bearing Capacity (SBC) is the maximum contact pressure intensity that soil can safely support beneath a structural footing without undergoing shear failure or excessive foundation settlement. Determining accurate SBC is the first step in foundation design for buildings, bridges, and industrial structures.

Terzaghi Bearing Capacity Formulas

Karl Terzaghi's classical bearing capacity equation for shallow strip footings incorporates soil cohesion ($c$), overburden pressure ($gamma D_f$), and soil unit weight ($gamma B$):

$$q_{ ext{ult}} = 1.3 c N_c + gamma D_f N_q + 0.4 gamma B N_gamma$$ $$ ext{Safe Bearing Capacity (SBC)} = rac{q_{ ext{ult}}}{ ext{Factor of Safety (FOS)}}$$

Where $c$ = soil cohesion (kPa), $gamma$ = soil unit weight (kN/m³), $B$ = footing width (m), $D_f$ = footing depth (m), and $N_c, N_q, N_gamma$ are Terzaghi bearing capacity factors dependent on internal friction angle $phi$.

How to Calculate Safe Soil Bearing Capacity

  1. Enter the Cohesion $c$ of the foundation soil (in kPa).
  2. Enter the Soil Unit Weight $gamma$ (in kN/m³).
  3. Enter the Footing Width $B$ and Footing Depth $D_f$ in meters.
  4. Select the Factor of Safety (FOS) (typically 2.5 to 3.0).
  5. The calculator computes the Ultimate Bearing Capacity ($q_{ ext{ult}}$) and Safe Bearing Capacity (SBC) in kPa.
  6. Click Copy Bearing Capacity to export the geotechnical summary.

Worked Geotechnical Example

Given Foundation Soil Data:

  • Soil Cohesion ($c$): 20 kPa
  • Unit Weight ($gamma$): 18 kN/m³
  • Footing Width ($B$): 1.5 meters
  • Footing Depth ($D_f$): 1.2 meters
  • Factor of Safety (FOS): 3.0

Calculated Bearing Capacity:

  • Ultimate Bearing Capacity ($q_{ ext{ult}}$): 175.44 kPa
  • Safe Bearing Capacity (SBC): 175.44 ÷ 3.0 = 58.48 kPa (kN/m²)

Practical Geotechnical Engineering Applications

  • Shallow Footing Sizing: Determining required pad or strip footing dimensions for residential and commercial columns.
  • Retaining Wall Stability: Verifying base soil resistance against bearing capacity failure under overturning loads.
  • Site Investigation Reports: Providing SBC recommendations for geotechnical borehole reports.

Limitations & Assumptions

  • Assumes shallow foundation conditions where depth $D_f le B$. Deep foundations (piles) require Meyerhof or Janbu pile capacity formulas.
  • High groundwater table conditions (submerged soil) require applying a groundwater reduction factor to unit weight $gamma$.

Frequently Asked Questions

What is Safe Bearing Capacity (SBC) of soil?

Safe Bearing Capacity (SBC) is the maximum intensity of loading that foundation soil can safely support without risk of shear failure or excessive settlement.

What is Terzaghi's bearing capacity formula?

For a shallow strip footing, Terzaghi's formula is q_ult = 1.3 c Nc + γ Df Nq + 0.4 γ B Nγ, where SBC = q_ult ÷ Factor of Safety.

What is a typical Factor of Safety (FOS) for foundation soil?

A Factor of Safety between 2.5 and 3.0 is standard in geotechnical engineering practice.

How does groundwater table affect soil bearing capacity?

A high water table reduces effective soil unit weight by submerged buoyancy, decreasing safe bearing capacity by up to 50%.

Is the Soil Bearing Capacity Calculator free?

Yes, 100% free with instant client-side calculation.