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Geotech
Sandbag Flood Wall: Layers, Bags per Layer, Sand Tonnage & Woven Sacks to Order
A sandbag wall is a pyramid. Most of the bags are in the bottom layers, and a 0.9 m wall twenty metres long takes close to nine hundred.
Empty Sacks to Order
— sacks
Bags in the wall plus the spare share, rounded up
Count
- Layers
- — layers
- Bags along the Wall per Row
- — bags
- Bags in the Bottom Layer
- — bags
- Bags in the Wall
- — bags
- Bags per Metre of Wall
- — bags/m
- Sand
- — t
- Sand Volume (Loose)
- — m³
The base width, the laid size of a bag and the sand per bag are yours; flood guidance differs on the base-to-height ratio and on how full a bag should be, and the tool has no figure of its own for either. Each layer is one laid bag thick and the wall narrows evenly from the base width to a single bag width on top; every row is counted in whole bags along the wall and across it, so a short wall rounds up at each end. Bonding, the trench some guidance asks for under the first layer, and plastic sheeting are not counted. **This is a material count, not a flood defence design: a sandbag wall seeps and must be built and watched as your flood authority advises.**
Using this calculator
About the Sandbag Flood Wall: Layers, Bags per Layer, Sand Tonnage & Woven Sacks to Order
The formula
This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.
layers = ceil(height / bagThickness)One laid, tamped bag thickness each.
width_i = base - (base - top) x i / (layers - 1)From the base width at the bottom to one bag width at the top, narrowing evenly.
bags_i = ceil(width_i / bagWidth) x ceil(length / bagLength)Whole bags across the layer times whole bags along the wall.
sand = bags x fill; sacks = ceil(bags x (1 + spare / 100))The sand by mass and, through its bulk density, by volume.
| Symbol | Stands for | Unit |
|---|---|---|
wallLengthM | Wall Length | m |
wallHeightM | Wall Height | m |
baseWidthM | Base Width | m |
bagLaidLengthM | Laid Bag Length along the Wall | m |
bagLaidWidthM | Laid Bag Width across the Wall | m |
bagThicknessM | Laid Bag Thickness | m |
fillKg | Sand per Bag | kg |
sandDensity | Loose Sand Bulk Density | t/m³ |
sparePct | Spare Sacks | % |
sacksToOrder | Empty Sacks to Order | sacks |
layers | Layers | layers |
bagsAlong | Bags along the Wall per Row | bags |
bottomLayerBags | Bags in the Bottom Layer | bags |
bagsInWall | Bags in the Wall | bags |
bagsPerMetre | Bags per Metre of Wall | bags/m |
sandT | Sand | t |
sandM3 | Sand Volume (Loose) | m³ |
How the result is derived
Step by step, from the values you type to the figure on screen.
- The 9 inputs are read from the form on every keystroke: Wall Length, Wall Height, Base Width, Laid Bag Length along the Wall, Laid Bag Width across the Wall, Laid Bag Thickness, Sand per Bag, Loose Sand Bulk Density and Spare Sacks.
- Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
- The validated values are substituted into the expression above, which resolves Empty Sacks to Order together with every supporting figure in one pass — no value is carried over from a previous entry.
- The supporting outputs — Layers, Bags along the Wall per Row, Bags in the Bottom Layer, Bags in the Wall, Bags per Metre of Wall, Sand and Sand Volume (Loose) — come from the same pass, so they always describe the same case as the headline figure.
- Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.
What each input means
Where to read each value on the floor, the unit it must be in, and the range the tool accepts.
| Input | Unit | Accepted range | Default | What it means |
|---|---|---|---|---|
| Wall Length | m | 1 to 10000 m | 20 | |
| Wall Height | m | 0.1 to 3 m | 0.9 | |
| Base Width | m | 0.2 to 10 m | 2.7 | Flood guidance sets the base width for a given height; enter the figure yours gives. |
| Laid Bag Length along the Wall | m | 0.2 to 1.5 m | 0.6 | |
| Laid Bag Width across the Wall | m | 0.1 to 1 m | 0.4 | |
| Laid Bag Thickness | m | 0.05 to 0.5 m | 0.15 | |
| Sand per Bag | kg | 2 to 60 kg | 15 | |
| Loose Sand Bulk Density | t/m³ | 1 to 2.2 t/m³ | 1.6 | From the supplier, or weigh a bucket of known volume. |
| Spare Sacks | % | 0 to 100 % | 10 |
What the tool returns
The headline figure and every supporting value it is built from.
| Output | Unit | What it tells you |
|---|---|---|
| Empty Sacks to Order (headline result) | sacks | Bags in the wall plus the spare share, rounded up |
| Layers | layers | |
| Bags along the Wall per Row | bags | |
| Bags in the Bottom Layer | bags | |
| Bags in the Wall | bags | |
| Bags per Metre of Wall | bags/m | |
| Sand | t | |
| Sand Volume (Loose) | m³ |
Worked example
Given
- Wall
- 20 m long, 0.9 m high, 2.7 m base
- Bag
- 0.6 x 0.4 x 0.15 m laid, 15 kg of sand
- Sand
- 1.6 t/m³; 10% spare sacks
Substituting
0.9 / 0.15 = 6 layerswidths 2.70, 2.24, 1.78, 1.32, 0.86, 0.40 m; across 7, 6, 5, 4, 3, 1 = 26 bags a row20 / 0.6 = 33.3, so 34 bags along; 26 x 34 = 884 bags884 x 15 kg = 13.26 t; / 1.6 = 8.29 m³884 x 1.10 = 972.4, so 973 sacksAnswer
- Layers
- 6, from 7 bags across to 1
- Bags
- 884 in the wall, 44.2 a metre
- Sand
- 13.3 t, 8.3 m³
- Sacks
- 973
The bottom layer alone takes 238 bags, and half of all the bags are in the lowest two layers.
How to use it
- Work through the input groups in order — Wall and Filled Bag. The defaults are a realistic case, so you can change one value at a time and watch what moves.
- There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
- Read Empty Sacks to Order in the dark results panel — that is the headline figure, expressed in sacks.
- Check the supporting rows underneath (Layers, Bags along the Wall per Row, Bags in the Bottom Layer, Bags in the Wall, Bags per Metre of Wall, Sand and Sand Volume (Loose)) before acting on the headline — they are where an implausible input usually shows itself first.
- Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.
Where this is used
- Process planning — establishing Empty Sacks to Order before a trial is booked, so machine time and material in Geosynthetics & Civil Engineering are committed against a calculated figure rather than an estimate.
- Costing and quotation — Empty Sacks to Order is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
- Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Wall Length) shows how much of the gap in Empty Sacks to Order each variable explains.
- Teaching and study — the accepted ranges bracket normal Geosynthetics & Civil Engineering practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.
Reading the result
Typical bands and what each one is telling you.
| Value | What it indicates |
|---|---|
| Base width less than the height | A tall, narrow wall. Check it against your flood guidance before building; narrow walls topple and seep. |
| Sand tonnage beyond what can be delivered in time | Plan the fill point and the labour now; filling is the slow part. |
| Spare sacks | Sacks split in handling and walls are raised as water rises. A spare share is cheap; running out is not. |
Assumptions and limits
- The base width, the laid size of a bag and the sand per bag are yours; flood guidance differs on the base-to-height ratio and on how full a bag should be, and the tool has no figure of its own for either. Each layer is one laid bag thick and the wall narrows evenly from the base width to a single bag width on top; every row is counted in whole bags along the wall and across it, so a short wall rounds up at each end. Bonding, the trench some guidance asks for under the first layer, and plastic sheeting are not counted. **This is a material count, not a flood defence design: a sandbag wall seeps and must be built and watched as your flood authority advises.**
- Every input is bounded to the range normal practice occupies (Wall Length 1 to 10000 m, Wall Height 0.1 to 3 m and Base Width 0.2 to 10 m, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
- The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
- Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.
Standards and further reading
- The sandbagging guidance of your national or local flood authority, which sets base width, bag filling and laying.
- The sack supplier's data: fabric, UV stabilisation and the empty size the laid size comes from.
Questions people ask
Why measure a laid bag instead of using the sack size?
A filled, laid and tamped bag is shorter, wider and flatter than the empty sack. The wall is built from laid bags, so their size is what counts.
Why does the wall get wider at the bottom?
For stability against the water pushing on it and to lengthen the seepage path. Flood guidance gives the base width for the height.
Does the tool include a trench or sheeting?
No. If your guidance asks for a trench under the first layer or plastic sheeting on the water side, add those separately.