The Wall Passed, and Then It Walked
A 5.5 metre reinforced block face runs along the low side of a distribution yard, engineered and inspected, with a design file that records 1.6 against sliding and 2.4 against overturning. Both numbers are comfortably above what the reviewing authority asked for. The wall is backfilled in 200 mm lifts, the drainage stone is clean, the grid is the length on the drawing, and for eighteen months nothing happens.
Then a contractor arrives to lay a fibre duct along the toe. The trench is 900 mm deep and follows the wall for sixty metres because that is where the easement runs, and it stays open for nine days over a wet fortnight. Nobody on that crew has seen the design file and nothing on site says one exists. By the time the trench is backfilled with the arisings, the face has moved forward between 30 and 40 mm at mid-height, the vertical joints have opened uniformly rather than in one place, and the coping has cracked at two movement joints. The wall has not rotated. It has translated, on a plane below the visible work, and it will not go back.
Everything in that sequence was foreseeable from the design file, because the 1.6 was a number that counted soil in front of the toe. Sliding is the check with the least margin on a wide wall, it is the check whose resistance can be reduced by somebody who has never heard of the wall, and it is the only structural quantity on a civils job that a third party can remove with a machine in an afternoon.
A Wider Base Is Worth More to Overturning Than to Sliding
Both checks are ratios, and both share a numerator that stops changing once the retained height is fixed. The active thrust is a function of height, the retained soil's unit weight and its earth pressure coefficient. Widen the base and none of those three moves. So the demand side of both checks is settled before the base is drawn, and everything a wider base does happens on the resisting side.
On the resisting side the two checks part company. Sliding resistance is the vertical load on the base plane multiplied by a friction term. Add a metre of heel and you add the concrete in that metre plus the column of soil standing on it, so the vertical load rises roughly in proportion to the width added — and so, roughly in proportion, does the sliding factor. Overturning resistance is that same weight multiplied by its lever arm about the toe, and the weight you just added arrived at the far end of the base, where the arm is longest. More weight, acting further out, is a product of two quantities that both grew: the resisting moment climbs roughly with the square of the width while the sliding resistance climbs with the width itself.
That difference in exponent is the whole reason a wide reinforced wall reports a comfortable overturning number alongside a marginal sliding one. It is what happens whenever resistance to one mechanism is a force and resistance to the other is a moment, and it means adding another half metre of heel to a wall short on sliding is among the least efficient interventions available: it moves the check nobody was worried about further from failure and barely touches the one that governs.
Reinforced soil walls make this more visible than cast-in-place ones, because their base width is chosen rather than derived. FHWA and AASHTO practice starts reinforcement length at about 0.7 of the design height with an absolute lower bound for short walls — confirm the value in the adopted edition rather than from memory, but note what it means. The base of an MSE wall is wide by convention before anybody has run a check on it, so it arrives at the sliding check already carrying an overturning result nobody was ever going to lose sleep over.
| Quantity | Effect of adding width to the base | Consequence for the check |
|---|---|---|
| Active thrust on the back of the wall | No change — it is set by retained height, unit weight and the earth pressure coefficient | The demand side of both checks is fixed before the base is drawn |
| Overturning moment about the toe | No change, for the same reason: the thrust and its point of application are unmoved | Nothing on the driving side is bought back by geometry at the base |
| Vertical load on the base plane | Rises roughly in proportion to the width added, counting the soil column on the new heel | Sliding resistance is that load times a friction term, so it rises roughly linearly |
| Lever arm of the added load | The added weight lands at the far end of the base, where the arm about the toe is longest | Resisting moment is weight times arm, and both grew — roughly a squared effect |
| Passive resistance in front of the toe | Unaffected by base width; it depends only on the depth and quality of ground at the face | The one term a wider base cannot buy, and the one a trench can take away |
Before arguing about which check governs, put a defensible starting width on the base — the customary fraction of retained height is a preliminary figure to test the two ratios against, not an answer.
SettingsSettings for this calculation
Waste is set to 5% by hand. Pick a tier above to replace it, or keep your own figure.
The height of soil being retained.
A rule-of-thumb fraction of wall height used for the footing width.
The total linear length of the wall's footing.
The thickness (depth) of the footing slab.
Extra concrete for spillage.
Recommended footing volume
3.77 yd³
The base width here is a preliminary rule-of-thumb, not a verified stability result — run the Retaining Wall Preliminary Stability Calculator with your actual soil data before finalizing dimensions.
- Recommended footing width
- 3 ft
- Base volume (no waste)
- 3.59 yd³
They open the calculator with your figures already in it
Retaining Wall Footing Sizing Calculator: 3.77 yd³ — shown in imperial, US market. The link sets both, so the result they see is the one on your screen.
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 0.4-0.8 ratio describes a CANTILEVER wall, where the stem rises from a base with a heel behind it. A gravity wall, a counterfort wall, or a cantilever with the stem set at the toe rather than mid-base each proportion their base differently, so the same retained height gives a different base width depending on a wall type that is not an input here.
- The base width is a fixed fraction of wall height and nothing about the ground enters it. Bearing capacity, friction angle, drainage condition, and surcharge from a driveway, slope or structure above the wall all change the width a real footing needs, and none of them are inputs here — two walls of the same height on very different soil get the same answer.
- This sizes a footing, it does not verify one. No sliding, overturning or bearing check is performed, so a width taken from this rule can still fail any of the three, and many jurisdictions require an engineered design and a permit above a threshold wall height regardless of what this returns.
- Footing thickness is taken as you enter it rather than sized, and no reinforcement is calculated. Bar size, spacing, cover, the dowels tying the footing into the stem and their lap lengths are all outside this model.
- Embedment is not addressed. The result carries no burial depth, so frost depth, minimum depth to bearing, and founding on undisturbed or properly compacted subgrade remain separate requirements you have to settle elsewhere.
- The concrete volume is a plain rectangular prism — length by width by thickness. It excludes the stem, a shear key, steps where the footing follows sloping ground, and the extra concrete an over-dug or uneven subgrade swallows when pouring against earth; the waste factor is a spillage allowance and does not cover that.
Both Ratios Off One Set of Numbers
Running the two checks side by side on the same geometry is what makes the exponent argument concrete rather than theoretical, but only if the width and the weight are varied together. A preliminary check takes the self-weight as a figure you supply, not one it derives from the base, so widening the base on its own tells you nothing about sliding: the friction term never saw the change. Add the width, then add the concrete and the soil column that width brings with it, and run both ratios again. On most trial sections the overturning number will already be clear of its target while the sliding number is still being argued about, and the shape of that divergence tells you which lever is worth pulling.
One input decides whether the exercise is honest: the vertical load. Entering the wall's own weight and stopping there is the single most common understatement in a preliminary check, because on any cantilever section the largest component of vertical load is not the concrete at all — it is the wedge of retained soil standing on the heel, which is locked to the wall by the base slab and travels with it. Leave it out and the sliding resistance can be short by a factor of two or more on a wall where the heel is the widest part of the base. Include it, and then be equally careful not to include anything above it that will not reliably be there: a topsoil layer that gets stripped, a pavement build-up that has not been laid yet, a surcharge sitting outside the heel line and therefore adding nothing to the plane you are checking.
Enter the self-weight as the concrete plus the soil column standing on the heel. This one takes that weight as its own input rather than deriving it from the base, so moving the base width alone shifts the overturning factor and leaves the sliding factor exactly where it was — raise the weight by what the extra heel really adds, re-enter both, and the divergence appears.
The height of soil being retained, measured from the base of the wall.
The soil's angle of internal friction — get this from a geotechnical report if available.
The soil's unit weight (density x gravity).
The weight of the wall itself (and any soil locked above its heel), per linear meter of wall.
The width of the wall's footprint at its base.
The friction coefficient between the wall's base and the soil beneath it.
Governing safety factor
1.68 (safety factor)
The governing safety factor is 1.68, at or above the 1.5 these checks are commonly taken against. This is a simplified preliminary calculation on the assumptions entered, not a design. Being under the allowable pressure is not the whole ground question: settlement, groundwater and the footings alongside are all untouched here.
- Rankine active pressure coefficient (Ka)
- 0.33
- Active pressure resultant
- 305.56 lbf/ft
- Sliding safety factor
- 1.68
- Overturning safety factor
- 2.52
They open the calculator with your figures already in it
Retaining Wall Preliminary Stability Check: 1.68 (safety factor) — shown in imperial, US market. The link sets both, so the result they see is the one on your screen.
What this calculation does not cover
- Bearing capacity of the soil beneath the footing is not checked — a wall can pass sliding and overturning and still settle or rotate.
- Assumes fully drained backfill. Hydrostatic pressure from saturated soil is an additional load not modelled here, and is a leading cause of real-world wall failure.
- No seismic loading. In seismic design categories this omission is significant and a Mononobe-Okabe (or equivalent) analysis is required.
- No surcharge from vehicles, structures or slopes above the wall.
- Global/deep-seated slope stability is not assessed.
Water pressure is not in this calculation at all, and a wall inside the margin on paper still comes apart early if the backfill and the drain are not built. Budget for the compacted granular backfill and the drain whatever the factor says.
The Friction Coefficient Belongs to an Interface You Build
Sliding resistance is not a soil property. It belongs to a contact between two materials, and the material on the underside of the wall is chosen by whoever detailed the base. Concrete cast directly against a compacted granular formation gives an interface friction angle approaching the soil's own, because failure has to work through grains keyed into the paste. Concrete cast on a blinding layer, a screeded mud slab or a sheet of polythene gives an interface with a friction angle of its own, and that number is not the soil's.
Named sources exist for this, and they beat a value carried in from another job. NAVFAC DM 7.02, Foundations and Earth Structures, tabulates coefficients of friction by material pair, masonry and concrete against various soils. The AASHTO LRFD Bridge Design Specifications carry friction factors for base sliding within their earth retaining structures provisions. Where a geosynthetic is involved the governing document is a test method rather than a table: ASTM D5321 determines the shear strength of a soil-geosynthetic interface by direct shear, and a manufacturer quoting an interaction coefficient is quoting a D5321 result against a specific fill gradation. That last qualifier does most of the damage on site, because a value developed against a well-graded sand does not transfer to open-graded drainage stone or to a site-won silty fill.
The interfaces that get built without ever appearing on a stability calculation are worth walking the formation to find. A separation geotextile keeping the pad off a soft subgrade is a plane. A drainage geocomposite picking up seepage under a levelling pad is a plane. A polythene slip membrane laid to stop the mix drying into the ground is a plane, and one a groundworker installs as a matter of routine because it makes the pour better, without anyone connecting it to a number in a design file.
Where the friction value came from is therefore a question for the drawing, not only for the calculation. If the design assumed concrete cast against soil, the drawing has to say so, and the specification has to prohibit the blinding a competent groundworker would otherwise put down to get a clean line. This is one of the few structural assumptions on a civils job that a site instruction can quietly invalidate without anybody making a mistake.
| What gets built | Why it appears | Effect on the sliding plane |
|---|---|---|
| Concrete cast directly on a compacted granular formation | The assumption most stability checks are run on | Interface friction approaches the soil's own; the failure has to pass through keyed grains |
| Blinding or a screeded mud slab under the base | A clean, level surface to set rebar and formwork off | A concrete-on-concrete contact with its own value, which is not the soil's |
| Polythene slip membrane or damp-proof sheet | Stops the mix losing water into a dry formation | A deliberately low-friction plane directly beneath the entire vertical load |
| Separation geotextile across a soft subgrade | Keeps the pad stone out of the underlying fines | A tested interface governed by ASTM D5321, not by a soil friction angle |
| Drainage geocomposite carried under the levelling pad | Picks up seepage arriving at formation level | Another tested interface, and one that is wet by design |
| Loose bedding sand levelled by eye | Speed, on a pad that was never specified by density | Neither the assumed interface nor a measurable one, so the check has no input |
Passive Resistance and the Trench That Removes It
Soil in front of the toe resists the wall as it pushes into that soil, and for the simple level case the coefficient governing it is the reciprocal of the active one — passive pressure is several times larger than active pressure in the same ground. Three qualifications sit against that arithmetic, and each matters more than the size of the number.
The first is movement. Active pressure reaches its minimum after very little wall displacement; passive pressure needs roughly an order of magnitude more movement to develop fully, and NAVFAC DM 7.02 tabulates the rotations for both states so the disparity can be read rather than argued about. A wall that has only begun to translate has mobilised a fraction of the passive resistance its geometry could eventually deliver, so a check counting the full value is describing a wall that has already moved enough to alarm the client.
The second is that the ground in front is the least protected material on the site. It sits above founding level, it is the shallowest soil in the section, and it lies exactly where every service, channel, kerb line and landscaping regrade wants to be. It can be trenched for a duct, cut back for a swale, washed out by a discharge that was never meant to run there, loosened by frost and never recompacted, or stripped by a landscaper laying a mow strip. Every one of those happens years after handover, carried out by somebody with no reason to know that a structure a few metres away was designed counting on that soil staying put.
The third is that the codes already say so. Eurocode 7, BS EN 1997-1, requires resistance from ground in front of a retaining structure to be discounted where that ground may be removed, may erode, or may shrink away from the face, and BS 8002 covers the same territory for earth retaining structures generally. The embedded-wall tradition goes further and builds the exposure into the model with an explicit unplanned-excavation allowance: a depth of ground in front that the design simply assumes is not there. BS 8002 and CIRIA's embedded retaining wall guidance both express it as a fraction of the retained height with an absolute bound sitting alongside the fraction — take the fraction, the bound and the direction the bound runs in from the edition in force rather than from memory, because they have not stayed the same across editions. Gravity and reinforced soil walls have no equivalent convention, which is an argument for running the sliding check twice, with the passive term and without, and treating the difference as a stated exposure rather than as spare capacity.
Compute the passive resultant for the embedment you actually have, then subtract it from the sliding resistance and look at what is left — that second number is the wall's condition on the day somebody opens a trench along the toe.
The depth of soil in front of the wall or footing providing passive resistance.
The soil's angle of internal friction.
The soil's unit weight in front of the wall.
Passive pressure resultant
688 lbf/ft
Passive resistance is often unreliable in practice — it requires enough wall movement to mobilize, and can be lost entirely if the soil in front of the wall is later excavated or erodes. Many designers deliberately ignore or heavily discount passive resistance for this reason.
- Rankine passive coefficient (Kp)
- 3
They open the calculator with your figures already in it
Rankine Passive Earth Pressure Calculator: 688 lbf/ft — shown in imperial, US market. The link sets both, so the result they see is the one on your screen.
Add the equipment this sizes
This result is a specification — 688 lbf/ft — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.
What this calculation does not cover
- There is no water in this model. Below the water table the soil in front of the wall contributes only its buoyant weight, so the resistance from the soil skeleton is far less than the full unit weight entered here suggests, and the water pressure acting on the same face is a separate term this does not compute. Perched water, seepage and a table that rises after rain are not checked at all.
- Rankine here is the cohesionless case against a smooth vertical wall face with level ground in front of it. There is no cohesion term, no wall friction or adhesion, no allowance for ground that falls away from the toe (which reduces passive resistance), and no layering — a single friction angle and unit weight cannot describe soft clay, mixed fill, or a granular layer over something weaker.
- This is the full theoretical passive resistance with no factor of safety and no mobilisation reduction applied. Passive pressure needs far more wall movement to develop than active pressure does, so the resistance actually available at a deflection the structure can tolerate is a fraction of this figure. Deciding how much of it to count is a design judgement the calculator does not make.
- The whole embedment depth entered is treated as effective passive soil. Nothing is subtracted for a frost-affected or disturbed upper zone, topsoil or paving buildup, or for soil that a future utility trench, re-grade or landscaping in front of the wall would remove.
- This is one force per metre run of wall, not a stability check and not a design. It does not check sliding, overturning, bearing pressure, base heave or global slope stability, does not size or reinforce the wall or footing, and includes no load factors and no seismic case. Passive resistance is one term in a check that a qualified engineer has to complete against site-specific geotechnical data.
Surcharge Adds to the Push Without Adding to the Hold
A uniform surcharge behind a wall raises the horizontal pressure by the same coefficient that applies to the soil's own weight, over the full retained height, with a resultant acting at mid-height rather than at the third point. On the driving side of the sliding check it simply adds. On the resisting side it adds nothing at all unless it happens to bear on the heel, inside the plan area of the base, and a surcharge sitting behind the heel line — a haul road, a stockpile, a car park bay set back from the wall — is pure demand.
It is tempting to think overturning is spared some of that by the lever arm, on the grounds that the surcharge resultant sits at mid-height rather than at the soil triangle's third point. It gets the opposite. Mid-height is the higher of the two, so each kilonewton of surcharge thrust swings an arm about the toe half again as long as a kilonewton of the soil's own thrust does. Neither check gets a discount for where the load arrives.
What decides which one the surcharge takes under first is therefore the margin each check started with, not the geometry of the resultant. On a wide base that margin is thinnest on sliding, for the reason the second section gives — and sliding has no arm to argue about in the first place, because it is a force balance. Every kilonewton of surcharge thrust comes straight off the sliding margin, and nothing about where it acts softens that.
The surcharge that gets missed is nearly always a construction one, and it arrives at the worst possible moment. Compaction plant working the fill applies a transient load well above anything the finished condition will see, at a time when drainage is incomplete, concrete may still be gaining strength, and the soil in front has not been placed because the toe is open for inspection. Wall specifications routinely limit the size of plant permitted within a stated distance of the face for exactly this reason, and that limit is a structural requirement rather than a courtesy: a wall checked for a modest finished surcharge and then loaded by a heavy roller running against the back of the units has been asked a question the check never covered.
Add the surcharge that will really be there — including the plant that works the fill before the wall is finished — and watch the thrust rise while the vertical load on the base stays exactly where it was.
The height of soil being retained.
The soil's angle of internal friction.
The retained soil's unit weight.
Any uniform load applied at ground level behind the wall.
Active pressure resultant
2,610 lbf/ft
Assumes a uniform surcharge covering the full retained soil surface — a surcharge limited to only part of the backfill (e.g. a small equipment pad) distributes differently and needs a more detailed analysis.
- Rankine active coefficient (Ka)
- 0.33
- Soil weight component
- 1,909.76 lbf/ft
- Surcharge component
- 696.18 lbf/ft
They open the calculator with your figures already in it
Rankine Active Earth Pressure with Surcharge Calculator: 2,606 lbf/ft — shown in imperial, US market. The link sets both, so the result they see is the one on your screen.
Add the equipment this sizes
This result is a specification — 2,610 lbf/ft — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.
What this calculation does not cover
- There is no water in this model. Below a water table the retained soil pushes with its buoyant weight while the water adds its own full hydrostatic pressure, which Ka does not reduce, so a wall with a blocked, silted or missing drain carries substantially more than the figure here. Perched water on a clay horizon and seepage after rain are not checked at all.
- Ka is the level-ground Rankine coefficient for cohesionless soil against a vertical, frictionless wall. It carries no term for a sloping backfill, cohesion, wall friction or a layered fill, and a backslope raises the coefficient itself rather than just the load, so entering a slope through the surcharge field does not reproduce it.
- Active pressure only develops if the wall moves enough for the soil behind it to relax. A basement wall, a propped or tied-back wall, or one keyed into rock attracts at-rest pressure, which is higher than this; so does fill compacted hard against the back of the wall, where plant locks in pressure above the active value near the top.
- No seismic loading and no factor of safety. This is an unfactored static resultant, and a Mononobe-Okabe or equivalent analysis is a separate check wherever seismic design applies.
- This is a load, not a design. It does not check sliding, overturning, bearing capacity or global slope stability, does not size the wall, its base or any reinforcement, and it gives the magnitude of each component without the height it acts at — the soil and surcharge resultants sit at different points, and you need both before any stability check can be run.
Water Pushes Harder and Holds Less Down
Water attacks the sliding check from both ends at once, which is what makes a blocked drain so much worse than an equivalent increase in surcharge. On the driving side, water pressure has no earth pressure coefficient to reduce it: it acts at full hydrostatic intensity. For a granular fill at an ordinary friction angle that hydrostatic term on its own is already around half again to twice the lateral pressure the drained soil was applying over the same metre, and it does not replace the soil's contribution — the buoyant soil still pushes alongside it, so the saturated case lands near double the drained one. On the resisting side, that same water reduces the effective weight of everything below the water line to its buoyant value, which for ordinary fill is roughly half the moist unit weight. Half the effective vertical load is half the friction.
Then there is uplift. Water at base level does not stop at the back of the heel; it acts on the underside of the base as an upward pressure that has to come off the normal force before the friction term is calculated at all. A wall founded below a seasonal water table, or built into a bank that perches water on a clay horizon, can have a meaningful fraction of its vertical load cancelled by pressure that is invisible on a dry inspection.
This is why drainage behind a retaining wall is a structural component rather than a durability one, and why it deserves checking as such: a continuous open-graded chimney behind the face, a collector with a fall and a real outfall, a filter arrangement that keeps fines out of the stone, and an outlet somebody can find and rod in ten years. The sliding check a wall passes is a check on the drained condition. If nothing on site guarantees that condition, the check was run on a wall nobody built.
Internal Sliding: The Plane That Is Not at the Bottom
Everything so far treats the wall as one block sliding on one plane at formation level. A geogrid-reinforced segmental wall is not one block. Every reinforcement elevation is a horizontal discontinuity through the fill, and the mass above any one of them can translate along it while the courses below stay put. NCMA's Design Manual for Segmental Retaining Walls treats this as an internal stability check in its own right, run at each level rather than only at the pad.
Whether an upper level or the pad governs turns on a race between two quantities. Going up the wall, driving thrust on a plane falls with the square of the fill height above it while the resisting mass falls only linearly, so the ratio improves steadily with elevation — which is why the critical planes are always the lowest and why a wall that satisfies the check at the fifth layer has been told nothing about the first. Working against that improvement is the interface: the coefficient of interaction along a grid layer can be materially lower than the coefficient at the base, because a grid is a plane of reduced friction through the fill and how reduced depends on aperture geometry and on the gradation it was tested against. If that reduction is severe enough, a layer part of the way up is worse off than the pad despite carrying less soil.
The coefficient is a tested property and comes from the manufacturer's data, not from a soil friction angle. ASTM D5321 is the direct shear method behind it; ASTM D6706 is the separate pullout test, answering a different question — whether the grid can be dragged out of the fill beyond the failure surface — and the two are not interchangeable. Neither covers connection strength at the facing or tensile rupture of the grid. Sliding along a reinforcement level is one internal check among several, and passing it says nothing about the rest.
Two site realities break the model quietly. A truncated or stepped layout, with lower layers cut short against rock or an existing structure, no longer has the resisting mass the section shows, and each affected level has to be rechecked against the length actually installed. Variable spacing, tighter at the base and opening toward the top, is normal detailing and means the critical elevation is not simply the lowest grid. Run the check at the tightest spacing to find where the margin is thinnest, then confirm that elevation by hand against the layout that was really built.
This runs the plane at every reinforcement elevation as well as at the levelling pad and names the one with the thinnest margin — drop the grid interface coefficient below the base value and watch the governing level climb off the pad.
Height of the reinforced mass from the top of the levelling pad to the top of the wall.
Uniform vertical spacing at which grid layers are placed up the wall.
Horizontal length of each grid layer, which is also the width of the reinforced block being checked.
Average density of the compacted reinforced fill together with the facing units it stands behind.
Uniformly distributed load carried on the retained soil behind the reinforced zone.
Angle of internal friction of the retained soil behind the reinforced zone.
Coefficient of interaction for sliding along a grid layer, from the manufacturer's direct-shear testing.
Coefficient for sliding of the whole wall across its levelling pad.
Governing sliding factor of safety
1.97 (factor of safety)
The levelling pad governs: the whole wall slides before any single grid layer does. Levels are numbered from the base upward, and the factor rises as you go up because less mass sits above each successive plane.
- Factor of safety against sliding at the levelling pad
- 1.97 (factor of safety)
- Factor of safety at reinforcement level 1
- 2.4 (factor of safety)
- Factor of safety at reinforcement level 2
- 2.71 (factor of safety)
- Factor of safety at reinforcement level 3
- 3.13 (factor of safety)
- Factor of safety at reinforcement level 4
- 3.69 (factor of safety)
- Factor of safety at reinforcement level 5
- 4.5 (factor of safety)
- Reinforcement levels in the wall
- 7 levels
- Driving thrust at the governing plane
- 5,363.05 lbf/ft
- Active earth pressure coefficient
- 0.31 (Ka)
They open the calculator with your figures already in it
Reinforced SRW Internal Sliding Check: 1.97 (factor of safety) — shown in imperial, US market. The link sets both, so the result they see is the one on your screen.
What this calculation does not cover
- Sliding only. Connection capacity, grid tensile rupture, pullout beyond the failure surface, bearing and global stability are separate checks this page does not perform.
- Assumes a level backslope, a uniform surcharge and a single reinforcement length at every level. A broken backslope or a truncated layout changes both the thrust and the resisting mass.
The Shear Key, and What It Is Honestly Doing
When a cast-in-place wall is short on sliding and the base cannot get any wider, the usual answer is a key cast down from the underside of the base. What the key does is worth being precise about, because it is often described as though it simply pins the wall to the ground.
It does two things. It forces the potential slip surface through soil for part of its length instead of along the concrete-to-soil contact, so the strength mobilised over that stretch is the soil's own rather than a reduced interface value — the more reliable of the two benefits, and the one that survives site variation. And it deepens the plane on which passive resistance acts, developing that resistance below the depth a service trench normally reaches. Real, but it is the same passive resistance relocated: it still needs movement to mobilise, and it is still in front of the wall where somebody may dig.
Whether the key sits under the stem or under the heel has been argued for decades, and the answer turns on which soil the designer trusts and on how the base is reinforced — a key under the stem continues the stem steel, while a key elsewhere is a detail in its own right. What is not in doubt is the cost: a trench cut into the formation, a formation that then has to stay open and clean, and steel that has to be detailed and fixed. On many walls the honest comparison is against extending the heel and accepting a slower gain, or against improving the interface by casting the base directly on a compacted granular formation and deleting the blinding, which costs a note on a drawing.
An Order That Finds the Answer
The sequence matters because most of the wrong answers come from establishing the resisting side before the demand side is settled, and then adjusting inputs until the ratio clears. Fix the demand first, from ground the geotechnical report describes, and let the resistance be whatever the section actually delivers.
- Take the retained height from the underside of the base, at the section with the highest fill or the deepest scour in front, not the average.
- Pull friction angle and unit weight for the retained fill and for the foundation soil separately — frequently different materials on the same job.
- Compute the active thrust with the surcharge that will genuinely be present, including construction plant working behind an unbraced wall.
- Total the vertical load on the base plane: stem, base slab, the soil column standing on the heel, and anything bearing on that column that is certain to remain.
- Choose the interface friction value from a named source, for the contact you are going to build, and write that contact onto the drawing so it cannot be substituted on site.
- Run sliding with no passive resistance whatsoever, and record it. That is the number the wall has to live with on its worst day.
- Run it again with the passive resistance you believe you have. The difference between the two is the exposure a trench or a regrade converts into movement.
- On a reinforced wall, repeat at every reinforcement elevation using the manufacturer's tested interaction coefficient rather than a soil value.
- Check the water case explicitly: fill saturated to the design level, drainage assumed blocked, uplift acting on the underside of the base.
- Compare against the thresholds in one document, not several, and name that document on the calculation sheet.
What the Number Has to Beat, and in Which Document
Allowable-stress practice has settled on roughly 1.5 against sliding and roughly 2.0 against overturning for permanent walls, with the passive term either neglected outright or heavily discounted, and many designers who do count it raise the sliding requirement to compensate. Those are service-level ratios computed on unfactored loads, and they are the numbers most preliminary checks — including the ones on this site — report.
They are not comparable with a limit-state result. The AASHTO LRFD Bridge Design Specifications replace the ratio entirely with load factors on the driving side and resistance factors on the capacity side, so a wall that satisfies AASHTO carries no directly readable factor of safety. Eurocode 7, BS EN 1997-1, does the same job differently again, applying partial factors to actions, material properties or resistances depending on which Design Approach the National Annex adopts — the same wall on the same ground produces different numbers in two European jurisdictions, and neither is a safety factor. NCMA's manual sets thresholds for segmental walls, and FHWA-NHI-10-024 does so for MSE structures.
Mixing them is the error that gets published. A thrust computed with a partial factor on the soil's friction angle, divided into a resistance computed with an unfactored interface coefficient, produces a ratio that belongs to no document. Pick the one the reviewing authority will read, run everything through it, and name the edition on the calculation sheet. A preliminary ratio is a screening tool for finding which check governs and how much room there is to move: it establishes demand, not adequacy, and adequacy on a permanent retaining structure is a conclusion a qualified geotechnical or structural engineer signs.
Put the Ground in Front on the Record
The failure at the top of this page was not an engineering error. It was a communication failure with an eighteen-month fuse, and it is the single most preventable thing on this page. If the sliding check counted passive resistance, then the depth and quality of soil in front of the wall is a structural assumption, and structural assumptions belong somewhere a stranger with a machine will encounter them: a note on the general arrangement drawing stating the minimum cover to be maintained in front of the toe, the same note in the health and safety file or the operation and maintenance manual, and a line in the asset record if the client keeps one.
Where the wall sits alongside an easement or a service corridor, go further and say what has to happen before anyone excavates within a stated distance of the face: the designer consulted, and no trench left open along the toe. The excavation itself is separately governed as a safety matter, under OSHA's requirements in 29 CFR 1926 Subpart P and the equivalent regime elsewhere, but those rules protect the people in the trench. Nothing in them protects the wall beside it. That has to be written by whoever ran the check, at the time they ran it, because when it is needed they will be long gone and the only thing speaking for the wall will be the drawing.
Settle These Before the Ratio Means Anything
Six inputs decide whether a sliding check describes the wall that will exist. Each one has a named source or a site condition behind it, and a guessed value in any of them moves the answer more than the arithmetic does.
- Retained height at the worst section — From the underside of the base to the top of the retained fill, taken at the highest section, not averaged along the run.
- Vertical load on the base plane — Concrete plus the soil column standing on the heel, less anything above it that will be stripped or has not been placed.
- The interface, as it will be built — Concrete on soil, concrete on blinding, or a geosynthetic — and the named source the friction value came from.
- Depth and permanence of soil in front — What the passive term assumes, whether anything guarantees it, and what the sliding ratio becomes with none of it.
- Surcharge, finished and during construction — Including the plant permitted behind the wall before the fill is complete, which is usually the governing case.
- Water condition and uplift — Design saturation level, whether the drain has a findable outfall, and the uplift acting on the underside of the base.
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.
