Understanding the log weight calculator — concept and principle
This calculator estimates the weight of a freshly cut or partly dried log from its species, its two end diameters, its length and its moisture content. Woodcutters, arborists and hobby sawyers use it to plan lifting, loading a trailer or choosing equipment.
How it is calculated
- Volume (frustum of a cone, without bark): V = π × L ÷ 12 × (d₁² + d₁ × d₂ + d₂²), diameters and length in metres.
- Dry wood per m³ = basic specific gravity G × 1,000 kg.
- Weight = V × G × 1,000 × (1 + MC ÷ 100), where MC is water as a percentage of the dry wood.
- With MC set to 0, the species' average green moisture content is used (white oak 71%).
- Water per log = dry wood × MC ÷ 100.
The principle
A log tapers, so treating it as a cylinder would overstate its volume; the frustum formula uses both end diameters. Basic specific gravity is the oven-dry mass divided by the green volume, which tells you how much actual wood substance a cubic metre holds. Freshly cut wood also holds a lot of water, often more than half its dry mass, and that water can make up a large share of the weight. Moisture content is therefore measured on a dry basis, and the total weight is dry wood times (1 + MC). The species values come from the USDA Wood Handbook as compiled by Penn State Extension.
Worked example
Default inputs: white oak (G = 0.60), small end 30 cm, large end 36 cm, length 2.5 m, freshly cut (MC 71%), 1 log.
- Volume = π × 2.5 ÷ 12 × (0.09 + 0.108 + 0.1296) = 0.214 m³.
- Density = 0.60 × 1,000 × 1.71 = 1,026 kg/m³.
- Weight = 0.2144 × 1,026 = 220 kg (485 lb).
- Dry wood = 0.2144 × 600 = 129 kg; water = 128.6 × 0.71 = 91 kg.
| Log length (m) | Weight of all logs (kg) |
|---|---|
| 0.625 | 55 |
| 1.25 | 110 |
| 1.88 | 165 |
| 2.5 | 220 |
| 3.12 | 275 |
| 3.75 | 330 |
| 5 | 440 |
How to read the result
Green hardwood logs are often heavier than people expect, and a log of this size is well beyond a safe one-person lift. As wood dries, the weight falls towards the dry-wood figure, though air-dried wood still holds some moisture. Bark, heartwood and sapwood differences, and knots and rot, all change the real weight.
Common mistakes
- Using the same diameter at both ends, which overstates tapered logs.
- Measuring diameters over the bark.
- Treating moisture content as a share of the total weight instead of the dry weight.
- Picking the wrong species, since densities differ a lot.
Frequently asked questions
How much does a white oak log weigh?
A freshly cut white oak log 2.5 m long with 30 and 36 cm ends weighs about 220 kg.
How much does green wood weigh per cubic metre?
It depends on species; freshly cut white oak is about 1,026 kg/m³.
Why use moisture content on a dry basis?
It is the standard for wood and makes the weight simply dry wood × (1 + MC).
Sources: Penn State Extension, "Calculating the Green Weight of Wood Species" (2025) · USDA Forest Products Laboratory, Wood Handbook (2010), Tables 4-1 and 5-3 to 5-5