Foundation Settlement Calculator
Estimate immediate elastic settlement and consolidation settlement of shallow foundations. Includes time estimate for 90% consolidation.
About this calculator
Shallow foundations settle in two distinct phases, and this calculator estimates both separately before summing them. Immediate (elastic) settlement happens right away as the soil compresses elastically under load, computed here with the classic elastic half-space formula Si = qB(1 − ν²)Is/E, using a fixed shape factor Is = 0.82 that approximates a square or roughly-square footing — a strip footing or very rectangular footing would use a different shape factor, so this number is most accurate for compact footing geometries. Consolidation settlement is the slower, long-term process where pore water squeezes out of fine-grained soils under sustained load, calculated with the standard normally-consolidated clay formula Sc = (Cc/(1+e0)) × H × log10((σ0+Δσ)/σ0), where σ0 (the existing overburden pressure at the compressible layer's midpoint) is estimated internally using an assumed soil unit weight of 120 pcf — if your site's actual unit weight differs meaningfully, the consolidation result will shift accordingly even though it isn't an input you control directly.
The time-to-90%-consolidation estimate uses Terzaghi's time factor (T90 = 0.848) with an assumed coefficient of consolidation Cv = 0.01 ft²/day, a value typical of soft clay under double-drainage conditions; stiffer clays or single-drainage conditions (an impermeable layer below) would consolidate at very different rates, so treat the months figure as illustrative rather than site-specific. This tool is meant for preliminary geotechnical screening — a real settlement analysis needs layer-specific lab test data (Cc, e0, Cv from actual consolidation tests) and often several soil layers, not the single idealized layer modeled here.
Inputs
Results
Immediate Settlement
0.21 in
Consolidation Settlement
7.1 in
≈ 2 credit cards
Total Settlement
7.31 in
≈ 2 credit cards
How to Use This Calculator
- Enter applied foundation pressure (q), foundation width (B), soil elastic modulus (E), and Poisson's ratio.
- Set compression index (Cc), initial void ratio (e₀), and other consolidation parameters.
- Review immediate settlement, consolidation settlement, and total expected settlement.
- Settlement exceeding 1 inch typically requires redesign or ground improvement.
How the result changes with Applied Pressure (q)
| Applied Pressure (q) | Immediate Settlement | Consolidation Settlement | Total Settlement |
|---|---|---|---|
| 1,000 | 0.11 in | 7.1 in | 7.21 in |
| 1,500 | 0.16 in | 7.1 in | 7.26 in |
| 3,000 | 0.32 in | 7.1 in | 7.42 in |
| 5,000 | 0.54 in | 7.1 in | 7.64 in |
What each input means
- Applied Pressure (q)
- Net bearing pressure applied by the foundation. Total load divided by footing area.
- Foundation Width (B)
- Width (or diameter) of the foundation for immediate settlement calculation.
- Soil Elastic Modulus (E)
- Elastic modulus of the soil. Soft clay ≈ 50,000-200,000; stiff clay ≈ 500,000-1,000,000; sand ≈ 500,000-3,000,000 psf.
- Poisson's Ratio (ν)
- Poisson's ratio of the soil. Clay ≈ 0.40-0.50; sand ≈ 0.25-0.35.
- Compression Index (Cc)
- Compression index from consolidation test. Soft clay ≈ 0.3-1.0; stiff clay ≈ 0.1-0.3.
- Initial Void Ratio (e₀)
- Initial void ratio of the compressible layer. Dense sand ≈ 0.4-0.6; soft clay ≈ 1.0-2.5.
- Compressible Layer Thickness
- Thickness of the compressible soil layer that will undergo consolidation.
- Stress Increase at Mid-Layer (Δσ)
- Increase in vertical stress at the middle of the compressible layer, from Boussinesq or 2:1 distribution.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersApplied Pressure (q) = 2000, Foundation Width (B) = 6, Soil Elastic Modulus (E) = 500000, Poisson's Ratio (ν) = 0.3 = 8 input(s) provided
- Calculate Immediate Settlement0.21 = 0.21
- Calculate Consolidation Settlement7.1 = 7.1
- Calculate Total SettlementTotal Settlement7.31 = 7.31
- Calculate Time for 90% Consolidation69.6 = 69.6
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
What's the practical difference between immediate settlement and consolidation settlement?
Immediate settlement happens right away as soil elastically compresses under the new load, using the formula Si = qB(1 − ν²)Is/E — this is largely instantaneous and driven by the soil's stiffness (E). Consolidation settlement is the slower process, sometimes taking months or years, where pore water is squeezed out of fine-grained soil over time, calculated separately with Sc = (Cc/(1+e0)) × H × log10((σ0+Δσ)/σ0). The calculator adds both together for total settlement, but they occur on very different timescales.
Why does the calculator assume a fixed shape factor (Is = 0.82) for immediate settlement?
The shape factor Is in the elastic settlement formula accounts for how the foundation's geometry distributes stress into the soil below it, and 0.82 is a standard approximation for a square or roughly square footing. A long strip footing or a very elongated rectangular footing distributes stress differently and would use a different Is value, so this calculator's immediate-settlement estimate is most accurate for compact, near-square footing shapes rather than long continuous footings.
Where does the overburden pressure (σ0) used in the consolidation formula come from?
Rather than asking for it directly, the calculator estimates σ0 internally as an assumed soil unit weight of 120 pcf multiplied by half the compressible layer's thickness, representing the existing overburden pressure at the layer's midpoint before your foundation load is added. Because this unit weight is assumed rather than entered, a site with meaningfully lighter or heavier soil (e.g., loose fill versus dense clay) will see its consolidation settlement result shift even though you can't adjust that assumption as an input.
How reliable is the time-for-90%-consolidation estimate?
It uses Terzaghi's standard time factor (T90 = 0.848) combined with an assumed coefficient of consolidation, Cv = 0.01 ft²/day, which is representative of soft clay draining from both the top and bottom of the layer (double drainage). Stiffer clays consolidate faster, and a layer that can only drain from one side (single drainage, such as sitting on an impermeable layer) would take roughly four times as long for the same thickness — so this figure is illustrative of typical soft-clay behavior rather than a site-specific prediction.
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