Footing Size Calculator

Determine required footing dimensions based on applied loads and allowable soil pressure

Applied Loads

Soil & Footing Parameters

Sizing Results

Governing Condition

Load Combo 1

Total Load: 500.0 kN

Required Footing Size

Length

1.75 m

Width

1.75 m

Area

Required

3.00

Provided

3.06

Soil Pressure Check

146.94 kN/m²

Utilization: 98.0%

Estimated Dimensions

Depth

300 mm

Concrete

0.92

What is Footing Sizing?

Footing sizing is the process of determining the minimum plan dimensions required for a foundation footing so that the pressure it exerts on the soil does not exceed the allowable bearing capacity. A footing that is too small risks excessive settlement, structural cracking, or even catastrophic bearing failure. One that is oversized wastes concrete and excavation labour. Getting the size right balances safety with economy.

The calculator evaluates four standard load combinations prescribed by building codes such as ASCE 7 and Eurocode 0. Each combination applies different safety factors to dead load (DL), live load (LL), wind load (WL), and seismic or earthquake load (EL). The governing case — the one that demands the largest footing area — is automatically selected, ensuring the design satisfies every code-mandated scenario.

Footing shapes available include square, rectangular, and circular footings. Square footings are the most common for isolated column supports because they distribute load equally in both directions and simplify formwork. Rectangular footings are used when the column sits near a property line or when the column transmits unequal moments in two axes. Circular footings are preferred for round columns or when aesthetic considerations demand a round plan.

Beyond area, the calculator estimates the required depth, concrete volume, and the actual bearing pressure relative to the allowable soil pressure. A utilisation ratio below 100 % confirms that the designed footing safely spreads the applied loads to the ground without exceeding soil capacity.

Load Combination Formula

Building codes define several load combinations that must be checked during design. The four primary combinations used by this calculator are:

  • Combo 1 (Gravity only): DL + LL — the most common case for typical service conditions.
  • Combo 2 (Gravity + Wind): DL + LL + WL — with a 33 % increase in allowable soil pressure permitted when wind loads are transient.
  • Combo 3 (Gravity + Seismic): DL + LL + EL — same 33 % allowable increase applies.
  • Combo 4 (Uplift / Overturning): 0.9 DL + EL — checks stability when dead load alone must resist seismic overturning.

The required area for each combination is the factored load divided by the (possibly increased) allowable soil pressure. The governing area is the largest of the four values.

Footing Area Formula

A_required = P_governing / q_allowable

Where:

  • P_governing= Largest factored load from all combinations (kN)
  • q_allowable= Allowable soil bearing pressure, possibly increased by 1.33 for wind/seismic cases (kN/m²)

Footing Dimension Calculation

Once the required plan area is established, the footing dimensions depend on the chosen shape:

ShapeDimension FormulaNotes
Squareside = √ABoth length and width equal
Rectangularwidth = √(A / ratio), length = width × ratioRatio is user-defined length-to-width ratio
Circulardiameter = 2 × √(A / π)Equivalent circular diameter

Computed dimensions are rounded up to the nearest 50 mm (0.05 m) to align with standard formwork modules and construction tolerances. A minimum dimension threshold prevents impractically small footings in low-load situations. The concrete depth is estimated at 15 % of the minimum plan dimension, with a floor of 300 mm to ensure adequate shear capacity.

How to Use This Calculator

Follow these steps to size a footing:

  1. Enter Applied Loads: Input the dead load, live load, wind load, and seismic load in kilonewtons (kN). These are the unfactored service loads acting on the column above the footing.
  2. Set Allowable Soil Pressure: Enter the net allowable bearing capacity of the soil in kN/m². This value comes from a geotechnical report or local code tables.
  3. Choose Footing Type: Select square, rectangular, or circular. For rectangular footings, specify the length-to-width ratio.
  4. Set Minimum Dimension: The default minimum of 0.6 m ensures constructability. Increase it if required by the foundation type or local code.
  5. Review Results: The calculator shows the governing load combination, required and actual footing dimensions, soil pressure utilisation, estimated depth, and concrete volume.

Understanding the Results

The results panel presents several key metrics. The governing combination tells you which load case controls the design — this is the case that requires the largest footing area. The total load for that case is shown in kN.

Footing dimensions (length and width) are the plan sizes that satisfy all code checks. The actual area is the provided area after rounding, which may be slightly larger than the theoretical minimum.

The soil pressure utilisation ratio compares the actual bearing pressure under gravity loads to the allowable soil capacity. A value below 100 % indicates the footing is adequate; a value above 100 % signals that the footing is undersized for the given loads or soil conditions.

The estimated depth is a preliminary value for concrete thickness. Final depth should be verified for punching shear, one-way shear, and development length requirements per the applicable reinforced concrete design code.

Real-World Applications

Footing sizing is a fundamental step in the design of nearly every building and structure. Residential homes typically use isolated square or rectangular spread footings bearing on competent soil or engineered fill. Commercial buildings may employ combined footings, strap footings, or mat foundations when columns are closely spaced or column loads are very high.

In bridge engineering, pier footings must resist not only vertical loads but also horizontal forces from braking, wind, and seismic events. Industrial facilities such as storage tanks and silos use ring footings or circular footings that distribute the load uniformly around a cylindrical base.

Geotechnical engineers provide the allowable soil bearing capacity based on site investigations, including Standard Penetration Tests (SPT), cone penetration tests, and laboratory analysis. The structural engineer uses this data to size footings that safely transfer building loads into the ground without excessive settlement or bearing failure.

Worked Examples

Square Footing Under Gravity Loads

Problem:

A column carries a dead load of 300 kN, live load of 150 kN, and no wind or seismic loads. The allowable soil bearing capacity is 150 kN/m². What size square footing is required?

Solution Steps:

  1. 1Calculate the governing load: Combo 1 = DL + LL = 300 + 150 = 450 kN
  2. 2Required area: A = P / q_allowable = 450 / 150 = 3.0 m²
  3. 3Side length of square footing: side = √3.0 = 1.732 m
  4. 4Round up to nearest 50 mm: side = 1.75 m
  5. 5Actual area: 1.75 × 1.75 = 3.0625 m²
  6. 6Actual pressure: 450 / 3.0625 = 146.9 kN/m², utilisation = 146.9 / 150 = 97.9 %

Result:

A 1.75 m × 1.75 m square footing with a soil pressure utilisation of 97.9 % is required.

Rectangular Footing with Wind Load

Problem:

A column carries DL = 400 kN, LL = 200 kN, WL = 80 kN. Allowable soil pressure is 120 kN/m². Use a length-to-width ratio of 1.5.

Solution Steps:

  1. 1Combo 1: 400 + 200 = 600 kN, required area = 600 / 120 = 5.0 m²
  2. 2Combo 2: 400 + 200 + 80 = 680 kN, allowable increased = 120 × 1.33 = 159.6 kN/m²
  3. 3Combo 2 required area: 680 / 159.6 = 4.26 m²
  4. 4Governing case is Combo 1 at 5.0 m²
  5. 5Width = √(5.0 / 1.5) = 1.826 m, rounded to 1.85 m
  6. 6Length = 1.85 × 1.5 = 2.775 m, rounded to 2.80 m

Result:

A 2.80 m × 1.85 m rectangular footing is required, governed by the gravity-only load combination.

Seismic Load Governs

Problem:

A column carries DL = 250 kN, LL = 100 kN, EL = 120 kN. Allowable soil pressure is 100 kN/m². What size square footing is needed?

Solution Steps:

  1. 1Combo 1: 250 + 100 = 350 kN, area = 350 / 100 = 3.5 m²
  2. 2Combo 3: 250 + 100 + 120 = 470 kN, allowable = 100 × 1.33 = 133 kN/m²
  3. 3Combo 3 area: 470 / 133 = 3.534 m²
  4. 4Combo 4: 0.9 × 250 + 120 = 345 kN, area = 345 / 133 = 2.594 m²
  5. 5Governing case is Combo 3 at 3.534 m²
  6. 6Side = √3.534 = 1.880 m, rounded to 1.90 m

Result:

A 1.90 m × 1.90 m square footing is required, governed by the gravity plus seismic combination.

Tips & Best Practices

  • Always obtain soil bearing capacity from a geotechnical report rather than relying on generic table values.
  • Check at least four load combinations — gravity alone rarely governs in seismic or high-wind regions.
  • Round footing dimensions up to the nearest 50 mm for practical formwork and construction tolerance.
  • A soil pressure utilisation ratio between 80 % and 100 % is ideal — it indicates an efficient design.
  • Verify the estimated depth for punching shear and development length before finalising the design.
  • Consider frost depth requirements — footings must extend below the local frost line.

Frequently Asked Questions

Allowable soil bearing capacity is determined from a geotechnical investigation involving soil borings and laboratory tests. Common methods include the Standard Penetration Test (SPT), cone penetration test, and plate load test. Typical values range from 100 kN/m² for soft clay to over 500 kN/m² for dense gravel or rock. Always use values from a qualified geotechnical engineer's report.
Building codes such as ASCE 7 permit a one-third increase in allowable bearing pressure when checking combinations that include transient lateral loads (wind or earthquake). This is because these extreme events occur infrequently and the duration of loading is short, so the soil can sustain slightly higher stresses without long-term settlement consequences.
Minimum footing depth depends on the structural requirements for punching shear, one-way shear, and reinforcement development. For residential footings, 300 to 400 mm is common. Heavily loaded commercial footings may require 600 mm or more. The calculator provides an estimate based on 15 % of the minimum plan dimension, with a minimum of 300 mm.
This calculator uses service (unfactored) loads divided by allowable soil pressure, which is the allowable stress design (ASD) approach. For LRFD (Load and Resistance Factor Design), you would apply load factors to the loads and use nominal soil resistance. The ASD approach is simpler and widely used for footing sizing.
This calculator is designed for isolated footings supporting a single column. Combined footings, strap footings, and mat foundations require more complex analysis that considers the interaction between multiple columns, differential settlement, and soil-structure interaction. Consult a structural engineer for those foundation types.

Sources & References

Last updated: 2026-06-06

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Standard Mathematical References

by Various

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.

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