Calculate actual soil bearing pressure under any concrete footing — including eccentric loads and moments. Get max/min pressure, utility ratio, and an instant Pass / Warn / Fail verdict. ACI 318-19 & IBC 2021 compliant.
Enter footing dimensions, applied load & moment to get actual bearing pressure, utility ratio and Pass/Fail check.
Width of footing perpendicular to moment axis.
Length parallel to applied moment / eccentricity direction.
Total vertical load on this footing — from column, post, or wall above.
Moment about the X-axis (causes pressure variation along L direction). Enter 0 for concentric loading.
Moment about the Y-axis (causes pressure variation along B direction). Enter 0 for concentric loading.
Per IBC 2021 Table 1806.2. A soil test gives exact value — required for engineered foundations.
For residential footing checks, service loads (ASD) are standard per IBC Chapter 16.
Concrete footing pressure (also called soil bearing pressure) is the force per square foot that a footing exerts on the soil beneath it. It is calculated by dividing the total vertical load by the footing's contact area with the soil. If the actual bearing pressure exceeds the soil's allowable bearing capacity (per IBC 2021 Table 1806.2 or a geotechnical report), the soil will fail in bearing — the footing will punch into the ground, causing settlement and potentially catastrophic structural damage.
When a vertical load is applied exactly at the center of a footing, the pressure distribution is uniform — every point of the footing carries the same load per square foot. But when a moment is present (from wind, an offset column, a retaining wall, or an unbalanced beam), the load is eccentric and pressure becomes non-uniform. The kern (L/6 in each direction for a rectangular footing) defines the zone within which the load must fall to keep the entire base in compression. If eccentricity e = M/P exceeds L/6, one edge of the footing lifts off the soil — a condition called partial bearing or uplift — which most codes and designers require to be avoided. See ACI 318-19 at concrete.org for full guidance.
When no moment is applied — the simplest and most common case for residential deck posts and interior column pads — pressure is uniform across the entire footing base. The formula is simply q = P ÷ Area. For a 24"×24" footing (4 sq ft) carrying 8,000 lbs: q = 8,000 ÷ 4 = 2,000 PSF. Compare to allowable soil bearing to determine pass or fail.
Moments arise from wind loads on tall columns, offset beams, retaining walls resisting soil pressure, or cantilevered structures. The result is a trapezoidal or triangular pressure distribution under the footing — higher on one side, lower on the other. The critical check is q_max ≤ q_allowable. If q_min turns negative, the footing is in uplift on one edge and the design must be revised.
The utility ratio (also called the demand-capacity ratio) is simply q_max ÷ q_allowable. A ratio of 1.0 means the footing is exactly at its limit — code minimum. Most experienced designers target 0.75 or lower to account for soil variability and future load increases. A ratio above 1.0 means the footing FAILS bearing capacity and must be enlarged or the soil must be improved.
The footing pressure formulas below are based on classical elastic bearing theory — the same approach used in ACI 318-19 Section 13.3 and referenced in IBC 2021 Section 1806. For rectangular footings under combined axial load and biaxial moments, the general formula applies at all four corners.
If the calculated q_min is negative, it means the formula predicts tension at one edge of the footing — but soil cannot resist tension (it simply loses contact). This signals an uplift condition: the footing is partially lifting off the soil on the low-pressure side. The actual pressure distribution becomes triangular, not trapezoidal, and the effective contact area is reduced — making q_max even higher than the formula predicts. This condition must be corrected by: (1) increasing footing size in the moment direction, (2) adding a counterweight, (3) using tie-down anchors, or (4) redesigning to bring eccentricity within the kern (e ≤ L/6). Per ACI 318-19 R13.3.1, partial bearing is permitted if q_max is re-calculated correctly — but most residential designers avoid it entirely.
The table below shows calculated centroidal bearing pressure for common footing sizes and loads — under concentric loading (no moment). Use this as a quick sanity-check before using the full calculator above. All values assume the full footing area is in contact with the soil.
| Footing Size | Area (sq ft) | Load 2,000 lbs | Load 5,000 lbs | Load 10,000 lbs | Load 20,000 lbs |
|---|---|---|---|---|---|
| 12" round | 0.79 sq ft | 2,537 PSF | 6,369 PSF | 12,739 PSF | 25,478 PSF |
| 16" round | 1.40 sq ft | 1,432 PSF | 3,581 PSF | 7,162 PSF | 14,324 PSF |
| 12"×12" square | 1.00 sq ft | 2,000 PSF | 5,000 PSF | 10,000 PSF | 20,000 PSF |
| 18"×18" square | 2.25 sq ft | 889 PSF | 2,222 PSF | 4,444 PSF | 8,889 PSF |
| 24"×24" square | 4.00 sq ft | 500 PSF | 1,250 PSF | 2,500 PSF | 5,000 PSF |
| 30"×30" square | 6.25 sq ft | 320 PSF | 800 PSF | 1,600 PSF | 3,200 PSF |
| 24"×36" rect. | 6.00 sq ft | 333 PSF | 833 PSF | 1,667 PSF | 3,333 PSF |
| 36"×36" square | 9.00 sq ft | 222 PSF | 556 PSF | 1,111 PSF | 2,222 PSF |
| 48"×48" square | 16.0 sq ft | 125 PSF | 313 PSF | 625 PSF | 1,250 PSF |
There are three distinct pressure distribution conditions that occur under a concrete footing depending on the magnitude and location of the applied load relative to the footing's centroid. Understanding which condition applies to your footing is critical before using the pressure formulas.
Load P acts at the centroid of the footing. No moment. Pressure is perfectly uniform across the entire base: q = P ÷ A. This is the ideal case for all residential footings and is achieved when posts and columns are centered on the footing. Always aim for this condition when possible.
Load is eccentric but within the kern (e ≤ L/6). The entire footing base remains in contact with the soil — varying from q_max at one edge to q_min > 0 at the other. Pressure distribution is trapezoidal. This is acceptable per ACI 318-19 as long as q_max does not exceed q_allowable.
Load is outside the kern (e > L/6). One edge of the footing lifts off the soil — q_min goes to zero or negative (tension). Soil cannot resist tension, so the effective bearing area is reduced and q_max spikes significantly higher. This condition requires redesign or a corrected triangular pressure calculation. Most residential codes prohibit uplift under normal load combinations.
For footings subject to wind or seismic moments (IBC Chapter 16 / ASCE 7-22), a 1/3 increase in allowable soil pressure is permitted for load combinations that include wind or seismic (IBC 2021 Section 1806.1). This means q_allowable × 1.333 applies for wind/seismic combinations only — not for gravity-only checks.
Retaining wall footings always have significant moment from the horizontal soil pressure on the wall — making eccentric footing pressure a critical design check. The moment arm from the resultant force location to the footing centroid must be calculated carefully. The toe pressure (q_max) governs bearing capacity design; the heel pressure governs overturning stability.
IBC Table 1806.2 presumptive bearing values are conservative averages for common soil types without testing. For loads exceeding 3,000 PSF actual pressure, house foundations, or any structure in seismic zones C–F, a geotechnical investigation (ASTM D1586 SPT or D2573 CPT) is strongly recommended to get accurate allowable bearing capacity and settlement predictions.
Given: 24"×24" square footing (B=L=2 ft), P = 8,000 lbs, Wind moment Mx = 3,000 ft·lbs, Soil q_allow = 3,000 PSF. Step 1: Area = 2×2 = 4 sq ft. Step 2: q_avg = 8,000 ÷ 4 = 2,000 PSF. Step 3: e_x = 3,000 ÷ 8,000 = 0.375 ft. Kern check: L/6 = 2/6 = 0.333 ft. Since e_x (0.375 ft) > kern (0.333 ft) — outside kern, uplift condition! Fix: Increase footing to 30"×30" (L=2.5 ft). New kern = 2.5/6 = 0.417 ft > e_x = 0.375 ft ✅. New q_max = (8,000/6.25) × (1 + 6×0.375/2.5) = 1,280 × 1.9 = 2,432 PSF < 3,000 PSF ✅. Utility ratio = 2,432/3,000 = 81% — PASS.
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Trusted codes, standards, and references for concrete footing pressure calculations in the USA.
ACI 318-19 Section 13.3 covers the design of isolated spread footings including bearing pressure distribution, required footing thickness, shear design, and flexural reinforcement for concrete footings across the USA.
Visit concrete.orgIBC 2021 Section 1806 governs allowable foundation pressures including Table 1806.2 presumptive bearing values and Section 1806.1 permitting the 1/3 increase in allowable pressure for wind and seismic load combinations.
View IBC 2021 CodeASCE 7-22 provides all load combinations used in footing pressure design — including gravity (D+L), wind (D+0.6W), and seismic (D+0.7E) combinations. Chapter 2 load combinations govern which pressures to check against allowable bearing capacity.
Visit asce.org