Foundations

Setting Foundation Depth Near Trees on Shrinkable Clay

On shrinkable clay the tree sets the dig, not the load — how species, distance and plasticity index become a trench depth, and what goes on its faces.
  • 22 minReading time
  • 11Sections
  • 9Calculators inline
  • Last reviewed

Nine Metres to an Oak That Belongs to Somebody Else

The job is a single-storey rear extension, 5.2 m across the back and 4.0 m out, brick and block with a tiled pitched roof over it. Three trial holes went in on a Tuesday morning. All three found made ground to about 400 mm, then firm brown fissured clay, and the hand auger was still in clay at 3.2 m when it stopped being worth turning. No gravel, no water, nothing that would let anyone found shallow and forget about it.

The oak stands in the garden next door. Stem centre to the nearest corner of the proposed extension is 9.1 m on a tape, and it is a mature tree nobody is going to be allowed to touch. That single fact is worth more to this estimate than the whole structural drawing, because the load has almost nothing to do with the answer. A single-storey masonry extension delivers something in the order of 30 kN per metre run to its foundation, and firm clay carries that comfortably at 600 mm down. What decides the depth instead is that an oak on clay is a pump running every summer, and the clay it draws from does not merely dry — it shrinks, then swells again over winter, and the amplitude of that cycle at foundation level is what the trench has to get below. So the estimate stalls until three inputs exist, and one of them requires a laboratory. Until then the honest answer to the client is that the substructure is unpriced, which is a far better position than a number that turns out to have been for a metre-deep strip.

Three Numbers, and This Page Will Not Supply the Fourth

The first is the modified plasticity index of the clay, and it is the one nobody has. Take a disturbed sample from the trial hole and have the Atterberg limits run — BS 1377-2 or BS EN ISO 17892-12 in the UK, ASTM D4318 in North America — which gives a plasticity index. That raw index is then multiplied by the fraction of the soil passing the 425 micron sieve, because the sand and gravel coarser than that take no part in the swelling. A clay with a plasticity index of 45 that is a third sand does not behave like a clay with a plasticity index of 45 that is not, and the modified figure is what NHBC Standards Chapter 4.2 bands into high, medium and low volume change potential. A soil test on a domestic extension costs less than a day of the digger it is about to book.

The second is the water demand of the species, which is a property of the tree rather than of the site. Oak sits in the high water demand group in the Chapter 4.2 classification, alongside the willows, poplars and elms that turn up in every subsidence case study. Read a high-demand species as moderate and nothing changes on the drawing; everything changes at the building three dry summers later.

The third is the ratio D over H: the distance from the stem to the nearest part of the new foundation, divided by the tree's mature height. Mature height is the published figure for that species — the height it is expected to reach — not a measurement of the tree standing there today, and that distinction is the most common error in the whole exercise. A young high-demand tree measured at eight metres and entered as eight metres produces a generous D/H, a modest trench and a foundation designed for a tree that will not exist in twenty years. The tape supplies D. The table supplies H.

BRE Digest 298, Low-rise building foundations: the influence of trees in clay soils, sets out the mechanism with the reasoning attached, and BRE Digests 240 to 242 cover shrinkable clay behaviour more generally. Between them and Chapter 4.2 there is a table converting volume change potential, water demand and D/H into a minimum depth to the underside of the foundation. It is not reproduced here, deliberately: it gets revised, it needs all three inputs entered correctly, and a depth copied from an article is the single figure on this job that nobody downstream can check. On this extension the engineer came back with 2.6 m — deep enough to change the method and the price, shallow enough to still be a trench.

Where each input actually comes from, and what a guess does to the trench
InputIts real sourceWhat guessing it costs
Modified plasticity indexDisturbed sample from the trial hole, limits tested to BS 1377-2 or ASTM D4318, multiplied by the fraction passing 425 micronsMoves the whole volume change band. The gap between bands is measured in metres of trench, not in millimetres
Species water demandCorrect identification of the tree, read against the classification in NHBC Chapter 4.2A high-demand species logged as moderate produces a foundation that is correct on paper and short in the ground
Mature height HThe published figure for that species, not a measurement of the tree todayUsing today's height on a young tree flatters D/H and designs for a tree that is about to grow out of the answer
Distance DStem centre to the nearest point of the new foundation, on a tape, on siteScaled off an unsurveyed plan this routinely loses a metre, and D/H is a ratio, so the error arrives amplified
Whether the tree staysThe owner's intention, the planning position, and an arboricultural view of its conditionRemoval does not cancel the problem. It converts a shrinkage problem into a heave problem that runs for years
Where each input actually comes from, and what a guess does to the trench

The first and third numbers: the plasticity index and the share passing the 425 micron sieve give the modified index and its NHBC band, and the distance over the species' mature height gives D/H, with the tree's lateral zone of influence beside it. The water demand is picked from the classification; the depth stays with Chapter 4.2 and the engineer.

The liquid limit less the plastic limit, from Atterberg limits tests on the fraction finer than 425 µm.

The percentage by mass of the soil finer than 425 µm (the No. 40 sieve), from the grading.

The clay and silt content — particles finer than 60 µm — from the grading.

The species' water demand category from NHBC Chapter 4.2; assume high if the species is not identified.

The published mature height of the species, not the height of the tree standing there today.

From the centre of the stem to the nearest part of the new foundation.

Modified plasticity index (I′p)

30.15 %

High confidence

NHBC Chapter 4.2 bands this as medium volume change potential. The foundation sits inside the high-demand tree's zone of influence, so NHBC Chapter 4.2 applies to its design; the depth comes from the chapter's charts, which take the volume change potential, the water demand and D/H together.

Plasticity index
45 %
Share passing 425 µm
67 %
D/H
0.45
Lateral zone of influence of the tree
82.5 ft
Distance from the tree to the foundation
30 ft
66 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • It classifies the sample you tested. Clay varies with depth and across a site, and NHBC asks for enough samples to be confident the result is representative; one test from one hole is one data point.
  • It does not give a foundation depth. NHBC Chapter 4.2 converts volume change potential, water demand and D/H into a minimum depth through its charts and tables, which are revised from edition to edition and need all three inputs right; the engineer reads them, and this page stops before them.
  • Trees removed recently, or about to be, change the question from shrinkage to heave, and a tree's height for that purpose is set by the chapter's own rules rather than by the mature height entered here.

What a 2.6 Metre Trench Fill Is Actually Made Of

Most people picture concrete in a slot. What gets built is a mass concrete fill with both vertical faces treated, a stratum at the bottom somebody has to look at and record, and a ground floor above it that must not be sitting on the clay at all — six distinct things, four of them invisible once the ground is closed up, and three of them regularly missing from a quotation. Trench fill rather than a strip footing is not a preference at this depth, it is the only method available: laying 2.6 m of blockwork off a strip in a 600 mm trench means a person standing in a supported excavation two and a half metres deep for several days, and there is no version of that which is either safe or affordable. Trench fill converts all of that labour into concrete, which is why the concrete bill here looks alarming next to a conventional strip and is still the cheap answer. Past roughly two and a half to three metres the arithmetic tips again and bored piles with a suspended ground beam start to win — a conversation to have with the engineer before the depth is fixed, not after.

The quantity is straightforward geometry and one trap. The perimeter of new foundation is two returns of 4.0 m plus the 5.2 m rear wall, so 13.2 m of trench at 600 mm wide. Excavation goes to 2.6 m; the concrete stops about 150 mm below finished ground level so there is something to build the below-ground brickwork off, which puts 2.45 m of concrete in the trench. That is 19.4 cubic metres before a single allowance for over-dig.

The six layers of a trench fill in shrinkable clay

A trench fill foundation drawn in section from the inside of the building outward: a suspended ground floor over a cellular void former, a compressible board and a slip membrane against both trench faces, the mass concrete fill between them, and the stiff clay stratum it bears on at 2.6 m.
  1. Suspended ground floor — spans onto the walls rather than bearing on the clay, so seasonal ground movement has nothing under it to push against
  2. Void former under the floor — a cellular former designed to carry the wet concrete and then collapse, leaving a void for the clay to swell into
  3. Compressible fill to the faces — low-density board taken down the vertical faces over the depth the design specifies, absorbing lateral swelling pressure
  4. Slip membrane — polythene between clay and concrete so swelling ground slides past the foundation instead of gripping and lifting it
  5. Mass concrete trench fill — poured to a level short of the ground, sized by trench length times width times the depth of concrete rather than of dig Continuous Footing / Grade Beam Volume Calculator
  6. Founding stratum — the clay at 2.6 m, inspected and recorded before anything covers it, and the layer the bearing check is about Shallow Foundation Bearing Capacity Calculator (Vesic Factors)

One warning before you type. The footing depth box stops at 1.5 m, so a 2.45 m pour will not go in directly — run it as two lifts of 1.225 m — 122.5 in that box, which reads centimetres — and add them, or take the same three dimensions through the concrete calculator further down this page, where the largest box accepts up to 50 m. Length and width follow the metric and imperial switch; the waste percentage does not.

SettingsSettings for this calculation
Who is doing the work?

Waste is set to 5% by hand. Pick a tier above to replace it, or keep your own figure.

The total linear length of the continuous footing or grade beam.

The cross-sectional width of the footing.

The cross-sectional depth (height) of the footing.

Extra concrete for spillage and formwork irregularities.

Concrete volume needed

6.844 yd³

High confidence
Base volume (no waste)
6.52 yd³
Equivalent in cubic yards
6.84 yd³

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

Plan of the slab, 66′ by 2′.66′2′

What this calculation does not cover

  • A GRADE BEAM AND A STRIP FOOTING ARE NOT THE SAME ELEMENT, and nothing here distinguishes them. A grade beam spans between piles or pads and is designed in bending, with steel top and bottom; a strip footing bears continuously and spreads load into the ground. They can share a rectangular cross-section and an identical concrete volume while having entirely different reinforcement, and the volume is the only thing this returns.
  • A VOLUME, NOT A DESIGN. The width, depth and reinforcement of a footing come from the load it carries and the ground it sits on, and this takes all three as given. It answers what to order, not what to build.
  • Excavation is not the same shape as concrete. Trench sides slump, over-dig happens at every corner, and soft spots get dug out and filled — which is why the volume placed routinely exceeds the volume calculated by more than the waste allowance covers, and why the allowance is worth setting from experience of the ground rather than from a default.
  • Frost depth, the founding stratum and the water table decide how deep the footing goes before any of this arithmetic starts. A footing at the right size and the wrong depth is a heave failure waiting for a cold winter.
  • Steps in a footing on sloping ground add concrete at every step and are easy to leave out of a straight-run take-off.
  • Formwork, blinding, reinforcement, spacers and any waterproofing or damp-proof membrane are separate quantities that are not derived from the volume above.

Compressible Board and Slip Membrane Do Two Different Jobs

These two get treated as alternatives on site and they are not. They answer different forces, and on a foundation this deep beside a retained high-demand tree the answer is frequently both.

Compressible fill answers pressure acting sideways on the faces of the concrete. When clay that has been dried by a tree takes water back up, it expands, and a 2.45 m tall slab of concrete standing in it presents a large vertical face for that expansion to push against. Low-density expanded polystyrene compressible fill — Jablite market it as Claymaster, and there are equivalents — is fixed to the face so the swelling ground has something to crush before it starts loading the foundation. It is a specified product at a specified thickness over a specified depth of the trench, and all three of those come from the designer, not from what the merchant had on the rack.

A slip membrane answers a different force entirely: uplift along the face. Clay grips concrete, and when the ground swells vertically it tries to carry the foundation up with it by friction and adhesion on the sides. Two layers of polythene, or a proprietary slip layer, break that bond so the clay moves and the foundation does not. It is thin, it is cheap, it takes an hour, and it is worthless against lateral swelling pressure — which is precisely why it does not replace the compressible board.

The third element is the ground floor, and it is the one most often value-engineered into a failure. A ground-bearing slab cast straight onto clay that is going to heave is a slab with the ground beneath it acting as a jack. The answer is a suspended floor over a void, and where the void is formed by a collapsible former — Cordek's Clayboard and Cellcore products are the ones usually named in a specification — that former has a design load it carries while the concrete is wet and a separate load at which it collapses afterwards. Both figures are in the manufacturer's literature and both matter. Services crossing the void need slack and a sleeve, because floor and ground are going to move relative to one another for a long time.

If the oak ever comes down, the whole case inverts. Clay desiccated by a mature high-demand tree for decades recovers moisture slowly and heaves as it does, and BRE Digest 298 is explicit that the recovery runs for years, not months. A tree that has already gone is a different design problem from a tree that is staying, which is why a client considering felling should be talking to the engineer rather than to a tree surgeon.

  1. Dig to the specified level, then have the founding stratum inspected and recorded against the trial hole logs before anything is placed — this is the last moment the ground is visible.
  2. Take the loose spoil and any standing water off the bottom. Concrete cast onto a soft trimmed layer bears on the soft trimmed layer.
  3. Fix the compressible board and the slip membrane to the faces the design nominates, over the depth it nominates, before any concrete arrives.
  4. Pour the mass fill continuously to the level shown on the drawing, which is below ground level, not to the top of the trench.
  5. Build the below-ground brickwork off the concrete, and bring the damp proof course up to its required height above finished ground.
  6. Place the void former under the ground floor once the walls are up, protected from the wet concrete it has to support before it collapses.
  7. Backfill the strip outside the wall with the material the specification names — not with the clay that came out, which will not compact and will hold water against the new work.

Twenty-One Cubic Metres Out of a Slot Nobody Can Stand In

The dig is 13.2 m by 0.6 m by 2.6 m, which is 20.6 cubic metres of clay in the bank. That is the figure on the drawing. What comes out is more, because a 600 mm bucket does not leave a 600 mm trench in fissured clay — the sides break back along the fissures, the corners get squared out twice, and every trench fill job over-digs somewhere between five and fifteen per cent depending on the ground and the driver. It is worth measuring the over-dig at the first corner rather than discovering it when the concrete runs out, because the concrete goes wherever the hole went.

The other thing that separates this from a service trench is that nobody may enter it. A 2.6 m excavation with vertical sides in clay is a supported excavation or a battered one, and clay's habit of standing up beautifully for two days and then failing without warning is exactly what makes it dangerous. In the UK the governing document for the earthworks is BS 6031 and the duties sit under CDM 2015; in the US it is OSHA 29 CFR 1926 Subpart P, which puts a competent person on the inspection and treats a foundation trench as an excavation like any other. Trench fill helps here, because the sequence can be dig-and-pour without anybody going down.

For the quantity itself, the excavation calculator below is being used for one line of its output. Its headline answer is loose backfill for a pipe trench and this trench is not being backfilled — it is being filled with concrete. Read the first line of the breakdown, Excavation volume (the depth entered), which is simply length times width times depth: neither the pipe diameter box nor the compaction box touches it, so set them to any valid value and ignore them. The headline figure does become the right answer later on the same job, for the drain run that follows the extension out to the existing manhole.

Enter 13.2 m of trench at 0.6 m wide and 2.6 m deep, set the pipe diameter to 0 since there is no pipe, and read Excavation volume (the depth entered) from the breakdown rather than the headline. All three trench dimensions follow the metric and imperial switch; the compaction percentage does not.

The total length of the trench.

The width of the trench.

The depth of the trench.

The outer diameter of the pipe being laid; 0 for a trench with no pipe.

Depth of bedding material under the pipe; 0 if the pipe sits on the trench bottom.

Depth of the same bedding material over the top of the pipe; 0 for none.

Extra loose material needed to achieve full compaction in the void.

Loose backfill material needed

50.9 yd³

Medium confidence

Assumes the excavated soil itself isn't reused as backfill (e.g. importing clean granular fill) — if reusing native soil, account for its own swell factor separately.

Excavation volume (the depth entered)
48.89 yd³
Pipe volume (subtracted)
4.6 yd³
Compacted backfill void
44.29 yd³

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

The pipe is drawn to scale inside the trench. Backfill is everything else in the section, which is why the pipe diameter changes the answer at all.

Perforated pipe — 1′Backfill4′2′1′ 8″

What this calculation does not cover

  • The trench is modelled as a plain rectangular prism — vertical faces, one width and one depth over the whole run. Battered or benched sides, the extra width a trench box needs, over-break outside the drawn line, and a bottom that falls with the pipe's gradient are all outside it. A run cut back to a safe slope holds considerably more than this figure, and the shortfall rises with the square of the depth rather than in proportion to it.
  • This is a quantity take-off, not an excavation safety assessment. Nothing here classifies the soil, checks the depth against sloping, benching or shoring requirements, or sizes a protective system — that comes from a competent person on site, and past the depths the rules set, from an engineer.
  • Only the single pipe you enter is deducted. A second pipe or duct sharing the trench, cable bundles, manholes, chambers, valve boxes, thrust blocks and concrete surround all displace backfill and are not subtracted. No check is made that the pipe fits the trench you described either: where its volume exceeds the excavation, the answer is floored at zero rather than reported as impossible geometry.
  • At most two materials: a bedding and surround zone when you enter a bed or a cover, and one backfill above it at one flat percentage. The bedding row is an in-place volume across the full trench width, capped at the trench depth, with no compaction or waste allowance, so add your own for a graded bedding that is compacted. Marker tape or protective tiles, and the sub-base, blacktop or topsoil at the surface are further materials in further thicknesses and are not split out. The percentage is a loose-volume allowance on the backfill and nothing else — it is not a density or Proctor specification, and it says nothing about lift thickness or how many passes the plant makes.
  • Nothing is said about the spoil. The excavation row is a bank volume measured in place, not the loose volume that leaves in the truck, and the calculation does not judge whether the arisings can go back, how much of the void they would fill, or what has to be carted away. Rock, groundwater and dewatering, and over-excavation to remove unsuitable ground are all excluded.

The Hole Measures 21 and the Spoil Measures 27

Clay dug from 2.6 m comes out in lumps with voids between them and does not go back to its in-situ density on the back of a lorry. A stiff fissured clay lifted from a deep trench commonly bulks by a quarter to a third, so 20.6 cubic metres in the ground becomes something near 26.8 loose at thirty per cent, and everything downstream of the bucket — the muck-away, the grab loads, the space it occupies in a side return while it waits — is counted in that larger state. None of it is coming back, either. A pipe trench gets backfilled with what came out of it; a trench fill is filled with concrete, so the entire bank volume leaves site and roughly the same volume of concrete arrives to replace it. The only backfill on this job is the narrow strip outside the wall above the concrete, and cohesive clay is a poor choice for it: it compacts badly against new brickwork, it holds water where you least want it, and it goes on moving seasonally right where the drainage and the damp proof course are.

Take the swell figure from the ground investigation or from whoever hauls muck in your area, not from a round number. Wet-dug clay and dry-dug clay from the same field behave differently in a barrow. One unit note on the tool below: its bank volume box follows the metric and imperial switch at the top of the page, reading cubic metres or cubic yards, so the hole goes in the unit the box names and the answer comes back in the same system.

Bank volume 20.6 cubic metres (about 27 cubic yards on the imperial switch), swell from your own ground data rather than a default, and the shrinkage box left alone — nothing is being recompacted here, because the hole gets concrete instead.

The undisturbed, in-situ soil volume.

How much the soil expands once excavated and loosened, as a positive percentage.

How much smaller the soil ends up once recompacted, as a negative percentage.

Loose (haul) volume

163 yd³

Medium confidence

Swell and shrinkage factors vary significantly by soil type and moisture content — use site-specific values from a geotechnical report or local hauling experience where available, rather than generic averages.

Bank (in-situ) volume
130.75 yd³
Compacted (recompacted) volume
117.68 yd³

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

What this calculation does not cover

  • The swell and shrinkage percentages are figures you supply, not properties this page derives. Moisture content, fines content, how the material is dug and the compactive effort actually applied all move the real factors, and the same soil at a different moisture will not behave like the number you typed. Take the factors from the site investigation or measured local experience, not from a general table.
  • This is a volume conversion, not a haulage calculation. It does not size trucks, count loads, or apply payload limits — wet or dense spoil often reaches a lorry's weight limit before it fills the body, and heap, tailgate profile and further bulking during loading all sit between this loose figure and a load count.
  • The compacted figure is not a compaction specification. It assumes the placed fill achieves exactly the shrinkage percentage entered, and says nothing about the density the fill must be tested to, layer thickness, the plant used, or material rejected and reworked. It does not replace field density testing.
  • One bank volume with one pair of factors. A mixed excavation — topsoil over clay over rock, or a trench through made ground — has different swell and shrinkage per stratum, and running the whole quantity at a single figure misstates both the haul and the fill. Topsoil stripping and unsuitable or contaminated material that leaves site instead of returning to fill are outside the model entirely.
  • The loose volume describes material immediately after excavation. A stockpile consolidates under its own weight and with rain, so a survey of a pile that has stood for weeks comes back below this figure. Nothing here addresses waste classification, tipping, or duty-of-care disposal requirements for spoil going off site.

The Skip Fills by Weight Long Before It Fills by Volume

Thirty-five cubic yards of loose clay sounds like three large skips. It is not, because clay is heavy enough that the vehicle runs out of payload before the container runs out of space, and haulage firms will not put heavy inert muck in their largest skips for exactly that reason. Convert the volume to a weight before booking anything, and expect to be talking about grab lorries or small skips with a lot of visits rather than a builder's skip on the drive.

There is a trap in the conversion worth naming, because it moves the answer by a third. Bulk density figures for clay are measured on material in a fairly natural state, so multiplying the loose, bulked volume by a bank-ish density double-counts the air you just added. Mass does not bulk. Put the bank volume through the conversion to get the weight that has to be lifted, and use the loose volume only for the space it occupies. On this job the bank 20.6 cubic metres is 26.9 cubic yards, which at the planning density below is about 40 short tons, near enough 37 tonnes — three grab loads on an eight-wheeler, give or take what the vehicle is plated for. Wet clay is heavier again, and clay dug in February off a site with nowhere to drain sits at the top of any published range. The figure that governs in the end is the weighbridge ticket, which is why the tonnage matters commercially: tipping is charged by weight, and clay is usually classified and priced differently from clean fill.

Feed it the bank volume in cubic yards — 26.9 for this trench — and read the weight the haulier is actually constrained by. The density behind it is a planning figure for ordering and vehicle counts, not a specification, and the disposal ticket is what settles the account.

The volume of clay soil in cubic yards.

Approximate weight

15 short tons

High confidence

About 1.5 short tons per cubic yard for clay; heavier than loam and highly sensitive to moisture. A planning figure, not a specification. Confirm the density with your supplier before ordering by weight.

Conversion factor applied
1.5 short tons per cu yd

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

What this calculation does not cover

  • Say which volume you measured. Clay in the ground and the same clay loose in a spoil heap are two different volumes of one material, and this page applies a single planning density to whichever number it is given — so the hole and the heap return different tonnages for the same dig. Settle which of the two you are working from before a load or a charge is planned on the answer.
  • An excavation is rarely all clay. Topsoil at the surface, a stone band, old fill or a softer horizon at the base each carry their own weight per cubic yard, and putting the whole excavation volume through one clay density weighs all of it as clay. Split the volume by layer where the difference is large enough to change a load count.
  • Treat this as a planning tonnage, not the figure a charge is settled on. Where haulage or disposal is priced by weight the weighbridge ticket governs; where it is sold as a fixed weight allowance per load, this is the number to test that allowance against. For excavated clay the rate per ton also turns on how the material is classified, which no density conversion can tell you.

Clay is the excavated material most likely to complicate a job, and its weight per cubic yard is high enough to matter for haulage. What makes clay difficult is not density but behaviour: it holds water, shrinks and swells with the seasons, and becomes unworkable when wet. Excavated clay also bulks substantially, so the spoil from a trench occupies noticeably more space than the hole it came from — which is why disposal volumes routinely exceed the excavation figure.

Deep Is Not the Same Thing as Checked

None of the above proves the foundation bears. It is easy to assume a trench fill this deep is so far inside its capacity that the check is a formality, and on the building load alone it would be — 30 kN per metre run spread over a 600 mm wide footing is 50 kPa, which almost any stiff clay carries without noticing.

The self-weight is what makes it interesting. Each metre run of this foundation contains 0.6 by 2.45 metres of concrete, which is 1.47 cubic metres weighing about 35 kN at 24 kN per cubic metre. The foundation is heavier than the building standing on it. Total load at formation is therefore around 65 kN per metre run, and over 0.6 square metres of bearing area that is a little over 108 kPa — better than double the figure the superstructure alone suggested, and close enough to a typical assumed allowable of 150 kPa that the margin is worth knowing rather than assuming. Anyone whose experience is 900 mm strips will not have met this, because at 900 mm the concrete is a minor term.

That 108 kPa is a gross pressure: it takes no credit for the 2.6 m of clay that was removed to make room for the concrete, which was already pressing on that horizon at something like 49 kPa before anyone arrived. The net increase the clay actually feels is much smaller. Whether the check is run gross or net, and against which allowable value, is the geotechnical designer's decision and it needs to be stated on the drawing — the two conventions differ here by a factor that matters.

Driving the checker below takes one deliberate move: work per unit run. Put 1 in the length box, the trench width in the width box, and the load for that one length of wall in the load box. Every box follows the unit switch — the lengths, the load in kN or kips and the allowable pressure in kPa or psf — so on the imperial page the 1 is a foot of wall and the load is the load on that foot.

Applied load 65 kN for one metre of wall — thirty for the building and thirty-five for the concrete under it — over a footing 1 m long by 0.6 m wide, against whatever allowable value your ground investigation supports rather than the default.

The total load carried by the footing.

The footing's length in plan.

The footing's width in plan.

The soil's allowable bearing capacity, from a geotechnical report.

Applied bearing pressure

2,660 psf

ComparisonA comparison, not a check — no result here is an approval.

The pressure this footing puts on the ground is below the allowable bearing pressure shown with it — you entered it from a geotechnical report. Being under the allowable pressure is not the whole ground question: settlement, groundwater and the footings alongside are all untouched here.

Footing area
42.25 ft²
Allowable bearing pressure
3,132.82 psf
Safety margin (allowable / applied)
1.18

Add the equipment this sizes

This result is a specification — 2,660 psf — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

6.5 ft6.5 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • BEARING CAPACITY IS NOT SETTLEMENT. A footing can sit comfortably inside the allowable pressure and still settle more than the structure will tolerate, and on a compressible clay the settlement check is usually the one that governs. Passing here is not permission to stop.
  • Assumes the load is concentric and the pressure uniform. Any moment or eccentricity tilts the distribution, and once the resultant leaves the middle third the footing lifts along one edge and the peak pressure climbs far above the average this reports.
  • The allowable pressure entered must already carry its geotechnical factor of safety. Entering an ultimate bearing capacity instead over-credits the ground by roughly a factor of three, and nothing here can tell the two apart.
  • The footing's own structural design is not checked: punching shear, one-way shear and flexure size the concrete and the reinforcement, and a footing large enough for the ground can still be too thin for the column standing on it.
  • Takes no account of adjacent footings whose stress bulbs overlap, of groundwater, of frost depth, or of an excavation planned alongside — each of which can change the allowable pressure without changing anything on this page.

Where an Allowable Bearing Pressure Comes From

A number like 150 kPa gets quoted for stiff clay so routinely that it is easy to forget it is derived rather than given. For a foundation loaded quickly relative to how fast clay drains, the governing case is undrained: the friction angle is taken as zero, the bearing capacity factor Nc becomes 5.14, the width term drops out entirely, and the ultimate capacity reduces to 5.14 times the undrained shear strength plus the overburden pressure at founding level. Which means the width of a trench fill contributes nothing to its bearing capacity in this case — the depth does all the work, through the surcharge term.

For this trench, taking an undrained shear strength of 90 kPa for the stiff clay at 2.6 m and an overburden of about 49 kPa from 2.6 m of soil at 19 kN per cubic metre, the ultimate figure comes out near 512 kPa. Divided by a factor of safety of three that is around 170 kPa, which lands in the same territory as the 150 kPa assumed in the previous section without agreeing with it exactly — and the honest response to that gap is to use the site's own number, not to average them. The undrained strength has to come from the ground investigation for this plot. Undrained shear strength varies by a factor of several across ordinary firm-to-stiff clays and it increases with depth, so a value taken from 1.5 m is not the value at 2.6 m.

Two assumptions are being stretched and should be said out loud. Terzaghi's expression was derived for a foundation whose depth does not much exceed its width, with the soil above founding level replaced by a simple surcharge; here the depth is over four times the width, and the shear strength of the clay along those 2.6 m faces is being thrown away. Both simplifications are conservative, so the answer is safe to compare against — but it is not a design. The formula is also strictly a strip footing formula, which is the one thing on this page a continuous trench fill genuinely is. Eurocode 7 in BS EN 1997-1, or BS 8004, sets what an actual design has to demonstrate, and neither is a single line of arithmetic.

Set the friction angle to zero for the undrained case and the width term disappears on its own. Cohesion, surcharge, unit weight and footing width all follow the metric and imperial switch, so a report in psf and pcf goes in as it stands.

The soil's cohesion.

The soil's angle of internal friction.

The overburden pressure at the footing's base level.

The soil's unit weight below the footing.

The footing's width.

Ultimate bearing capacity

22,300 psf

Medium confidence

This gives ULTIMATE bearing capacity — a real design divides this by a factor of safety (commonly 2.5-3.0) to get the allowable bearing pressure, and applies shape/depth/inclination correction factors for non-strip footings, which this simplified strip-footing calculator omits.

Nc
30.14
Nq
18.4
Nγ
22.4

Add the equipment this sizes

This result is a specification — 22,300 psf — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

6.5 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

What this calculation does not cover

  • Ultimate capacity at shear failure, with no settlement check. On sand and on stiff clay the working pressure is usually set by total and differential settlement rather than by bearing failure, so a footing can clear this figure and still move more than the structure above it will tolerate.
  • Groundwater is not in the model. There is no water table input, and when water stands at or above founding level both the surcharge term and the 0.5×γ×B×Nγ term have to be built from effective stresses — the unit weight field will not even accept a submerged unit weight, its floor being 14 kN/m³ (89 pcf). Reduce q and γ yourself before entering them, or the capacity reads high.
  • Strip footings under a vertical, centrally applied load only. No shape, depth, load-inclination or ground/base-slope factors are applied, so a square or rectangular pad, a circular base, a raft or an eccentrically loaded footing falls outside it; eccentricity also calls for the effective-width reduction B − 2e, which this does not do.
  • General shear failure is assumed at every friction angle. Loose sands and soft compressible clays fail by local or punching shear, where these factors overstate capacity, and no reduction to c or tanφ is made for it.
  • One uniform soil, taken to extend through the whole failure wedge — roughly one to two footing widths below the base. Layering is invisible to it: a soft stratum under a firm crust, or fill over natural ground, returns the crust's capacity. This is a screening figure against parameters someone else measured, not a foundation design, and it does not replace a site investigation or an engineer's allowable bearing pressure.

Ordering Concrete Into a Trench You Cannot Look Into

Specify before you quantify, because on clay the mix is not a default. Ground containing pyrite — London Clay and the Lias among others — oxidises to produce sulfates, and concrete cast directly against it may need specifying for aggressive ground. BRE Special Digest 1, Concrete in aggressive ground, classifies the site and produces a design chemical class; BS 8500-1 then converts that into a designated FND concrete rather than the general-purpose mix a merchant will assume you want. Where the International codes apply, ready-mixed concrete comes under ASTM C94 and the sulfate exposure classes sit in ACI 318. A trench fill is unformed, permanent and unvibratable in any meaningful sense, so it is a poor place to save money on a mix.

Quantity is 13.2 m by 0.6 m by 2.45 m of concrete, which is 19.4 cubic metres nominal. Waste on a trench fill is not the five per cent a formed footing takes: the trench is the formwork, the trench is not a rectangle, and the over-dig discussed earlier all has to be filled. Fifteen per cent is a defensible allowance in fissured clay and it brings the order to about 22.3 cubic metres — three full loads on a standard six-metre truck and a part load behind them. Running short mid-pour on a trench fill is worse than on a slab, because the cold joint lands somewhere the design may not permit one and there is no practical way to reach it.

Two notes on driving the calculator. Its thickness box stops at 1 m, so the 2.45 m depth will not go in that box — but the three dimensions simply multiply, and the other two boxes accept up to 50 m. Put the 13.2 m run in the length box, the 2.45 m depth in the width box, and the 0.6 m trench width in the thickness box, which reads centimetres, so 60. Second, ignore the bag count in the breakdown entirely: 22 cubic metres is a ready-mix order in every conceivable circumstance, and the number of 80 lb bags it would take is a figure with no use on this job.

13.2 in the length box, 2.45 in the width box and 0.6 in the thickness box — the three dimensions multiply, so which box holds which is only a matter of what each one will accept. All three follow the metric and imperial switch; the waste percentage does not.

Concrete Calculator

SettingsSettings for this calculation
Who is doing the work?

The standard allowance most suppliers and estimating guides assume for ordinary work.

The length of the slab or footing.

The width of the slab or footing.

How deep the concrete pour is.

Extra concrete for spillage, uneven subgrade, and forming imprecision.

Estimated concrete needed

1.358 cubic yards

High confidence
Volume (no waste)
1.23 yd³
Volume with waste factor
1.36 yd³
Cubic feet
36.67 ft³
80 lb bags needed
62 bags

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

Plan of the slab, 10′ by 10′.10′10′

What this calculation does not cover

  • Geometry is one rectangular prism: length x width x a single uniform thickness. Thickened edges, integral footings, haunches, steps, curbs and any non-rectangular outline are not in the figure, and nothing is subtracted for block-outs or openings. Take those off as separate volumes and add them.
  • It assumes a flat, compacted subgrade sitting at exactly the depth you entered. Ruts, soft spots, over-excavation and a base that dishes in the middle all take concrete the geometry never sees, and a flat waste percentage is not a measurement of that. On a rough base, check depth across the whole pour rather than trusting the allowance.
  • This is a volume take-off, not a structural decision. It accepts whatever thickness you type without sizing it, and says nothing about mix strength, aggregate size, air entrainment, fibre, or rebar and mesh. Slabs carrying vehicles, footings, and anything supporting a structure are a code and engineering question.
  • The bag count assumes an 80 lb (36 kg) bag yields about 0.6 cubic feet (17 litres) of mixed concrete, and rounds up to whole bags. Real yield shifts with the product and with how much water goes in, and no other bag size is converted for you.
  • The volume is not an order quantity. Ready-mix is sold in fixed increments with a minimum load and its own short-load charges, and concrete left in the drum, the chute or the pump line is not counted. The waste factor covers spillage and forming slop, not the plant's ordering rules.

Code thresholds this tool can check

Code thresholds this tool can check

Checked for United States. Each check below names the body that published the limit it uses. Switching market re-runs them. This is not a code review and has no official standing.

These checks cover only the specific numeric limits listed below. They are not a complete code review: fire separation, egress, structural capacity and accessibility provisions are outside their scope, and only the handful of local amendments offered in the selector are modelled — your municipality may have others. Passing every check here does not make a design compliant. Final approval rests with your local building authority.

  • WITHIN LIMIT — Concrete floor slabs on ground: minimum 3.5 in (89 mm) thick.

    Slab thickness 4.00 in meets the 3.5 in IRC floor-slab minimum. Expansive soils are handled separately under IRC R403.1.8, and any slab carrying vehicles or point loads should be designed rather than taken from the code minimum.

    ICC · IRC R506.1

The Tree and the Neighbour Both Have Standing

The oak is not simply an input to a table. BS 5837, Trees in relation to design, demolition and construction, defines a root protection area as a circle whose radius is twelve times the stem diameter measured at 1.5 m above ground, capped at 707 square metres. A 620 mm stem therefore gives a radius of 7.44 m and an area of about 174 square metres. The trench at 9.1 m sits outside it, which is the answer everyone wants and is worth confirming with a tape rather than assuming — a stem 150 mm thicker would have brought the protected area to the corner of the dig, and excavation inside a root protection area is an arboricultural method statement question before it is a groundworks one.

It may also carry a Tree Preservation Order or stand in a conservation area, both of which sit under the tree provisions in Part VIII of the Town and Country Planning Act 1990 and both of which make work on it a consent matter with real penalties. Here the point is close to academic, since the tree belongs to the neighbour and is not going anywhere by agreement — worth saying plainly to a client who has started pricing a foundation and is beginning to wonder how much cheaper the job would be without an oak in it.

The neighbour has a second interest as well. Excavating to 2.6 m within three metres of an adjoining owner's structure, to a level below their foundations, triggers a notice under section 6 of the Party Wall etc. Act 1996 in England and Wales, and the notice period is not something to discover in the week the digger is booked. One last detail has nothing to do with the tree and everything to do with living with the result: this extension sits on a foundation 2.6 m deep, against a house almost certainly on a strip at less than a metre. The two will move differently every year for the life of the building, and where the new work meets the old that difference wants a designed joint rather than a bonded-in crack that opens next spring and gets blamed on the plasterer.

The circle from the paragraph above: the stem diameter gives the radius and the capped area, several stems combine the way the standard combines them, and the distance from the stem to the nearest works gives the margin — outside the circle, or by how much inside it.

The British standard's root protection area, or the Australian standard's notional root zone.

Trees that fork below the measuring height are treated as several stems combined into one diameter.

The stem's diameter at 1.5 m (4 ft 11 in) above ground for BS 5837, or 1.4 m (4 ft 7 in) for AS 4970; the first stem of a forked tree.

From the centre of the stem to the nearest edge of the excavation, trench or structure.

Radius of the protected area

24 ft

High confidence

Twelve times the stem diameter as the radius of a circle. BS 5837 lets the arboriculturist change the circle's shape to follow the roots actually present, keeping the area the same, so the circle is the starting geometry rather than the only one. The nearest works sit outside the protected circle.

Stem diameter
24 in
Root protection area
1,809.56 ft²
Distance from the stem to the works
30 ft
Works beyond the edge (negative: inside it)
6 ft

What this calculation does not cover

  • It sets out the standard's geometry from the diameter you measured. It does not assess the tree's condition, its species' tolerance of root loss, or whether a Tree Preservation Order, a conservation area or a planning condition applies — those sit with the arboricultural report and the planning authority.
  • A circle about the stem. Roots follow the ground, not the geometry: a kerb, a building, a watercourse or a change in level can confine them to one side, and the arboriculturist may reshape the protected area to match, keeping its area.
  • A tree's roots also affect the ground well beyond the protected area. On shrinkable clay the foundations near it are a separate question, set by the soil's volume change potential, the species' water demand and its mature height — see the modified plasticity index calculator.

What to Have Before the Digger Is Booked

The substructure on a job like this cannot be priced from a plan. Five of these six lines are measurements or laboratory results, and the sixth is a conversation with the neighbour. The workspace opens on the concrete order for this article's own trench — 13.2 m of run, 2.45 m of concrete depth in the width box and the 0.6 m trench width in the thickness box, because the three dimensions multiply and only that last box has a limit low enough to matter.

  • Modified plasticity index — Atterberg limits on a trial hole sample to BS 1377-2 or ASTM D4318, multiplied by the fraction passing the 425 micron sieve. The cheapest line on the sheet and the one the depth turns on.
  • Species, mature height and distance — Identify the tree properly, take H from the published figure for that species rather than the tape, and measure D from stem centre to the nearest point of the new foundation.
  • Depth to underside, from the engineer — The output of volume change potential, water demand and D/H together. Not a figure to carry over from the last job on the same street.
  • Compressible board and slip membrane schedule — Which faces, what product, what thickness, over what depth of the trench, plus the void former and its wet-concrete and collapse loads from the manufacturer's literature.
  • Undrained shear strength at founding level — From the ground investigation at 2.6 m, not at 1.5 m — it is the whole bearing check, and it climbs with depth.
  • Muck-away by weight, concrete by volume — About 40 short tons of clay leaving on the bank figure, and roughly 22 cubic metres of concrete arriving on the dig figure plus over-dig. Two different measures of the same hole.
Open this as a workspace →

Opens the calculators above on one screen with the dimensions from this article already filled in. Quantities only — this site publishes no price list, because local prices vary too much to publish honestly.

Drawn from

  • NHBC Standards, Chapter 4.2 — Building near trees
  • BRE Digest 298 — Low-rise building foundations: the influence of trees in clay soils
  • BRE Digests 240, 241 and 242 — Low-rise buildings on shrinkable clay soils, Parts 1 to 3
  • BRE Digest 412 — Desiccation in clay soils
  • BRE Special Digest 1 — Concrete in aggressive ground
  • BS 5837:2012 Trees in relation to design, demolition and construction — Recommendations
  • BS 8004:2015+A1:2020 Code of practice for foundations
  • BS EN 1997-1:2004+A1:2013 Eurocode 7: Geotechnical design — Part 1: General rules, with the UK National Annex
  • BS 5930:2015+A1:2020 Code of practice for ground investigations
  • BS 1377-2 Methods of test for soils for civil engineering purposes — Classification tests, and BS EN ISO 17892-12 for liquid and plastic limits
  • BS 6031:2009 Code of practice for earthworks
  • BS 8500-1 Concrete — Complementary British Standard to BS EN 206, Part 1: Method of specifying and guidance for the specifier
  • ASTM D4318 Standard Test Methods for Liquid Limit, Plastic Limit, and Plasticity Index of Soils
  • ASTM D2487 Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System)
  • ASTM D4546 Standard Test Methods for One-Dimensional Swell or Collapse of Soils
  • ASTM D4829 Standard Test Method for Expansion Index of Soils
  • ASTM C94 Standard Specification for Ready-Mixed Concrete
  • ACI 318 Building Code Requirements for Structural Concrete and Commentary — exposure classes for concrete in sulfate-bearing ground
  • International Residential Code and International Building Code, foundation chapters — provisions for building on expansive soils, as adopted and amended locally
  • Approved Document A (Structure) to the Building Regulations for England
  • OSHA 29 CFR 1926 Subpart P Excavations, and the Construction (Design and Management) Regulations 2015 in Great Britain
  • Party Wall etc. Act 1996 (England and Wales), section 6 — adjacent excavation and construction
  • Town and Country Planning Act 1990, Part VIII — trees and Tree Preservation Orders
  • Jablite Claymaster low-density expanded polystyrene compressible fill — manufacturer's technical literature
  • Cordek Clayboard and Cellcore heave protection systems — manufacturer's technical literature

Guidance, not a specification. Local codes, the engineer of record and the product manufacturer’s instructions govern where they differ from anything written here.