Strip foundation design

Under a load-bearing wall, worked per metre run

A strip footing is the foundation under a wall rather than under a column: a continuous band of concrete that takes the line load from blockwork and spreads it wide enough for the ground to carry. It is the most common foundation in Nigeria by a very long way, because most bungalows are load-bearing blockwork rather than frames.

It is also the one most often designed by copying the last job. That usually works, and the reason it works is worth understanding — because when it stops working, nothing warns you.

The pad footing example is the column version of this page. If your building is a frame, that is the one you want.

What is different about a strip

Everything is per metre run. The load arrives as kN/m along the wall, not kN at a point, so the footing is designed as a one-metre slice and the answer is repeated the whole length of the wall. That has two consequences:

So the design is four steps: width, bending, shear, and the steel along the length that no calculation asks for.

Step 1 — width, on the service load

This is the same distinction that catches people on pads, and it is worth stating twice. The width comes from the unfactored, working load. Allowable bearing pressure already has a factor of safety of two or three inside it; applying 1.4 and 1.6 on top of that would be a factor of safety on a factor of safety, and you would buy a footing half as wide again as you need.

The bending steel, further down, does use the ultimate load. Two loads, two purposes.

The example

A three-bedroom bungalow, 225 mm sandcrete blockwork, rendered both sides, on firm sandy laterite. Taking the wall down:

Wall 225 blockwork rendered, 3.9 kN/m2 x 3.0 m high = 11.7 kN/m
Foundation wall 0.9 m below ground = 3.5 kN/m
Roof trusses + sheets + ceiling, 0.55 kN/m2 x 3.0 m = 1.65 kN/m
gk = 17.0 kN/m
qk roof imposed 0.75 kN/m2 x 3.0 m = 2.5 kN/m
Service load gk + qk = 17.0 + 2.5 = 19.5 kN/m
+ 10% self weight 1.1 x 19.5 = 21.5 kN/m
Width required 21.5 / 100 = 0.21 m
Minimum width 225 wall + 150 each side = 0.53 m
Provide B rounded up to 50 mm = 0.55 m
Check 21.5 / 0.55 = 39 kN/m2 <= 100 PASS

Read that again: the bearing requirement was 210 mm and the footing is 550 mm. On firm ground a bungalow's strip is not sized by the soil at all — it is sized by the need for a projection you can actually dig, form and stand on. This is why the standard 450–600 mm strip works on most sites, and why it is dangerous to assume it always will. The rule holds until the ground gets soft, and then it stops holding suddenly.

The 10% allowance covers the footing's own weight and the backfill over it. It is a shortcut; on a deep or thick footing, work it out properly.

The same wall on soft ground

Change nothing but the soil — soft clay at 50 kN/m² instead of firm laterite at 100:

Width required 21.5 / 50 = 0.43 m < 0.53 minimum, so still 0.55 m

Still governed by buildability. Now put two storeys of blockwork on it — gk 65 kN/m, qk 22 kN/m, on ground worth 75 kN/m²:

Service load 65 + 22 = 87.0 kN/m
+ 10% 1.1 x 87 = 95.7 kN/m
Width required 95.7 / 75 = 1.28 m
Provide B = 1.30 m
Check 95.7 / 1.30 = 73.6 kN/m2 <= 75 PASS

A 1.3 m wide strip is a different animal from a 550 mm one, and the rest of this page is about what changes when it gets that wide.

Step 2 — bending, and the rule that usually cancels it

The footing cantilevers off each face of the wall under the upward soil pressure. The projection is:

a = (B - wall thickness) / 2

Here is the rule worth carrying around:

If the projection is no greater than the thickness (a ≤ h), the load spreads at 45° through the concrete and into the ground inside the footing itself. There is no meaningful cantilever to design, and nominal steel is all the bending calls for. This is the whole reason a bungalow strip can be a plain rectangle of concrete with a light mesh of bars in it.

The bungalow, checked

a = (550 - 225) / 2 = 163 mm
h = 250 mm   -> a <= h, within the 45-deg dispersion
As,min = 0.13% x 1000 x 250 = 325 mm2/m
Provide T12 @ 300 = 377 mm2/m PASS

The bending moment here is about 0.7 kNm/m, which needs under 10 mm²/m of steel against a minimum of 325. The minimum is not a rounding-up of the calculation — it is a different requirement, about shrinkage and about the ground not being as uniform as the arithmetic pretends.

The two-storey wall, where it does bend

a = (1300 - 225) / 2 = 538 mm   h = 350 mm  -> a > h, real cantilever
nu = 1.4(65) + 1.6(22) = 126.2 kN/m
pu = 126.2 / 1.30 = 97.1 kN/m2  (ultimate pressure)
M = pu a2 / 2 = 97.1 x 0.5375^2 / 2 = 14.0 kNm/m
d = 350 - 50 cover - 6 = 294 mm
K = 14.0e6 / (1000 x 294^2 x 25) = 0.006 <= 0.156
z = 0.95d = 279 mm
As = 14.0e6 / (0.95 x 460 x 279) = 115 mm2/m
As,min = 0.13% x 1000 x 350 = 455 mm2/m governs
Provide T12 @ 225 = 503 mm2/m PASS

Minimum steel governs again — at four times the calculated area. If you take one thing from this page, take that: strip footings are almost never governed by their bending calculation. They are governed by minimum steel, by the 150 mm projection, and by the thickness needed to keep the projection inside the 45° spread. Doing the moment properly is still worth it, because it tells you which of those three you are actually leaning on.

Step 3 — shear

Checked as a beam, at a distance d out from the wall face — the concrete within d of the support carries its load directly into it and is not part of the shear span.

Shear span a - d = 538 - 294 = 244 mm
V = 97.1 x 0.244 = 23.7 kN/m
v = 23.7e3 / (1000 x 294) = 0.08 N/mm2
vc with 503 mm2/m at d = 294 = 0.38 N/mm2
Check 0.08 <= 0.38 PASS

It passes by a factor of nearly five, and it will on nearly every strip footing, for the same reason the bending did: the thickness rule that kills the cantilever kills the shear span too. A footing that fails shear is telling you it is too thin for its width, and the fix is thickness, never links — nobody puts links in a strip footing.

Step 4 — the steel along the length

No calculation on this page asks for a single bar running along the wall. Put them in anyway, and understand why: the transverse steel resists bending from the load, and the longitudinal steel resists the ground.

A footing 15 m long crosses soft spots, old drains, backfilled trenches and tree roots. It shrinks as it cures. It gets built in sections on different days. None of that appears in a bearing pressure, and all of it cracks an unreinforced strip. Two or three T12s top and bottom, lapped properly and carried right through corners and junctions, is what turns the footing into a beam that can bridge a metre of bad ground.

Provide 3T12 top and bottom, continuous
Laps stagger, and never lap over a soft spot
Corners carry bars around, or use L-bars to match

This is the steel most often left out on site because it is not on the bar bending schedule for the bending calculation. Put it on the schedule. See the bar bending schedule example for how to write it up so it gets bought and bent.

When a strip is the wrong answer

The width sizing is also the warning system. Watch for these:

What this example leaves out

Run it yourself

Structura's strip footing module is this calculation, per metre run, with every check shown: width against the service load, the 45° dispersion test, bending at the wall face, shear at d, and a PASS or FAIL on each. Single members are free to run, as many as you like.

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