Productive Toolbox

Soil Bearing Capacity Calculator

Calculate soil bearing capacity instantly using Terzaghi's formula. Free online tool for engineers, architects, and students with real-time results.

🏗️

Soil Bearing Capacity Calculator

Calculate soil bearing capacity using Terzaghi's formula. Get instant estimates for foundation design with bearing capacity factors and safety analysis.

Settings

Typical: 2.5 - 3.0

Foundation Parameters

Typical: 16-20 kN/m³

For clay soils

For sandy soils

Soil Type Presets

About Soil Bearing Capacity Calculator

The Soil Bearing Capacity Calculator is a professional engineering tool that helps civil engineers, architects, and construction professionals estimate the maximum load that soil can safely support for foundation design. Using Terzaghi's bearing capacity equation, this calculator provides instant, accurate estimates for shallow foundations.

This tool is essential for preliminary foundation design, helping you determine whether the soil at your construction site can support the planned structure. It calculates both ultimate and safe bearing capacity, taking into account soil properties, foundation dimensions, water table position, and safety factors.

How to Use the Soil Bearing Capacity Calculator

  1. 1Choose the unit: Select meters or feet for the foundation size.
  2. 2Enter the foundation: Type the foundation width B and depth Df.
  3. 3Enter the soil: Type the unit weight γ, cohesion c and friction angle φ, or pick a soil type.
  4. 4Set safety and water: Choose the factor of safety (usually 2.5–3) and where the water table sits.
  5. 5Read the capacity: See the bearing capacity factors, the ultimate and safe bearing capacity and notes.

Understanding Terzaghi's Bearing Capacity Formula

The calculator uses Terzaghi's bearing capacity equation for shallow foundations:

q_ult = c × Nc + γ × Df × Nq + 0.5 × γ × B × Nγ

Where:

  • q_ult = Ultimate bearing capacity (kN/m²)
  • c = Cohesion of soil (kPa)
  • γ = Unit weight of soil (kN/m³)
  • Df = Depth of foundation (m)
  • B = Width of foundation (m)
  • Nc, Nq, Nγ = Bearing capacity factors (depend on friction angle φ)

The safe bearing capacity is calculated by dividing the ultimate bearing capacity by the factor of safety, with adjustments for water table position.

Soil Types and Properties

Clay Soils

Cohesive soils with friction angle (φ) typically 0°. Bearing capacity depends primarily on cohesion (c). Soft clay: 25 kPa, Medium clay: 50 kPa, Stiff clay: 100 kPa.

Sandy Soils

Granular soils with zero cohesion. Bearing capacity depends on friction angle (φ). Loose sand: 28°, Medium sand: 32°, Dense sand: 38°.

Silt

Fine-grained soil with moderate cohesion (15 kPa) and friction angle (28°). Intermediate properties between clay and sand.

Gravel

Coarse granular soil with high friction angle (35°) and zero cohesion. Excellent bearing capacity for shallow foundations.

Rock

Very high strength material with high cohesion (500 kPa) and friction angle (45°). Provides excellent foundation support.

Bearing Capacity Factors

Bearing capacity factors (Nc, Nq, Nγ) are dimensionless coefficients that depend on the soil's angle of internal friction (φ). These factors are calculated using:

  • Nq = e^(π × tan φ) × tan²(45° + φ/2)
  • Nc = (Nq - 1) / tan φ
  • Nγ = 2 × (Nq + 1) × tan φ

For pure clay (φ = 0°), the factors are: Nc = 5.7, Nq = 1.0, Nγ = 0.0

Factor of Safety

The factor of safety (FOS) is applied to account for uncertainties in soil properties, loading conditions, and construction quality. Typical values:

  • 1.5 - Low risk structures with good soil data
  • 2.0 - Standard residential and commercial buildings
  • 2.5 - Important structures or uncertain soil conditions
  • 3.0 - Critical structures or poor soil data

Water Table Effects

The position of the groundwater table significantly affects bearing capacity:

  • Below Foundation - No reduction in bearing capacity
  • At Foundation Level - 10% reduction due to buoyancy effects
  • Above Foundation - 20% reduction, consider dewatering or deep foundations

High water tables reduce effective stress and can cause settlement issues. Consider drainage systems or foundation depth adjustments.

Applications

  • Preliminary foundation design for buildings
  • Shallow foundation sizing (strip footings, spread footings)
  • Feasibility studies for construction projects
  • Comparison of different foundation options
  • Educational purposes for civil engineering students
  • Quick estimates during site visits
  • Verification of geotechnical reports

Important Considerations

  • These calculations provide preliminary estimates only
  • Always conduct detailed soil investigation for final design
  • Consider settlement analysis in addition to bearing capacity
  • Account for eccentric loading and moment effects
  • Verify local building codes and requirements
  • Consider seasonal variations in water table
  • Consult a licensed geotechnical engineer for critical structures

Features

  • Real-time calculation using Terzaghi's formula
  • Multiple soil type presets with typical properties
  • Automatic bearing capacity factor calculation
  • Water table position adjustment
  • Customizable factor of safety
  • Unit conversion (meters/feet)
  • Engineering notes and recommendations
  • Calculation history
  • Export results to text or CSV
  • Copy results to clipboard
  • Status indicators (safe/moderate/unsafe)
  • Mobile-responsive design

Frequently Asked Questions

What is Terzaghi's bearing capacity equation?

For a strip footing, qu = c Nc + q Nq + 0.5 γ B Nγ, where q = γ Df is the overburden pressure and Nc, Nq, Nγ depend on the friction angle. The safe bearing capacity is qu divided by the factor of safety.

What factor of safety should I use?

2.5–3.0 on the ultimate bearing capacity is standard for foundations. The result is then comparable with the allowable bearing pressures in codes such as IBC Table 1806.2.

How does the water table affect bearing capacity?

Submerged soil weighs about half as much, which reduces the overburden and width terms. The calculator reduces capacity by 10% with water at foundation level and 20% above it, a simplification of the full correction.

What are typical soil properties?

Loose sand: φ ≈ 28–30°, γ ≈ 17 kN/m³ (108 pcf). Dense sand: φ ≈ 35–40°, γ ≈ 19–20 kN/m³. Soft clay: c ≈ 10–25 kPa; stiff clay: c ≈ 50–100 kPa, with φ ≈ 0 in the short term.

Can I use this for a real foundation?

Only for preliminary sizing. Bearing capacity must come from a site investigation, and settlement often governs before shear failure, especially on clay.

Related Tools

Enhance your foundation design workflow with these complementary calculators:

  • Foundation Depth Calculator - Determine required foundation depth
  • Footing Size Calculator - Calculate footing dimensions
  • Structural Load Calculator - Estimate loads on foundations
  • Concrete Volume Calculator - Calculate concrete requirements
  • Excavation Volume Calculator - Estimate earthwork quantities