🪵 原木重量计算器（材积公式与木材密度）Log Weight Calculator (Log Volume and Wood Density)

使用说明与常见问题How-to & FAQ

「原木重量计算器（材积公式与木材密度）」是什么？What is the Log Weight Calculator (Log Volume and Wood Density) tool?

输入原木长度和直径（一个直径按圆柱计算，或两端直径按 Smalian 公式），选择木材状态和类别（湿材或气干材，硬木或软木）或自定义密度，算出材积和重量。支持米/厘米和英尺/英寸。本地处理。Enter the log length and diameter (one diameter for a cylinder, or both end diameters for the Smalian formula), pick the wood type and condition (green or seasoned, hardwood or softwood) or enter a density, and get the volume and weight. Works in m and cm or ft and in. Processed locally.

如何使用「原木重量计算器（材积公式与木材密度）」？How do I use the Log Weight Calculator (Log Volume and Wood Density) tool?

在「原木重量计算器（材积公式与木材密度）」中，填写「单位」、「长度（米或英尺）」、「直径（厘米或英寸；小头）」、「大头直径（可选）」、「木材」等参数，结果会随输入实时计算并显示在下方。In the Log Weight Calculator (Log Volume and Wood Density): Fill in "Units", "Length (m or ft)", "Diameter (cm or in; small end)", "Large-end diameter (optional)", "Wood"; results are recalculated instantly as you type.

材积怎么算？How is log volume worked out?

只填一个直径时按圆柱 V = π × d² × L ÷ 4；填两端直径时用 Smalian 公式 V = L × (A₁ + A₂) ÷ 2，其中 A₁、A₂ 为两端截面积。With one diameter the log is a cylinder, V = π × d² × L / 4. With both ends the Smalian formula V = L × (A₁ + A₂) / 2 is used, A₁ and A₂ being the end areas.

木材密度取多少？What density should I use?

刚砍伐的湿材含水多，硬木约 900–1100 kg/m³，软木约 700–900 kg/m³；气干后硬木约 600–800，软木约 400–600。知道具体树种时请填写自定义值。Green wood holds a lot of water: hardwoods about 900–1100 kg/m³ and softwoods 700–900. Seasoned, hardwoods are about 600–800 and softwoods 400–600. Enter a custom value if you know the species.

为什么要知道原木重量？Why does log weight matter?

搬运、装车和吊装时需要确认不超过车辆和设备的承载能力，留出安全余量。For handling, loading and lifting, so you stay within vehicle and equipment limits with a safety margin.

能举个计算实例吗？Can you show a worked example?

例如在「原木重量计算器（材积公式与木材密度）」中填 单位 = 米、厘米、千克，长度（米或英尺） = 1，直径（厘米或英寸；小头） = 20，木材 = 自定义密度，自定义密度（kg/m³） = 1000，结果区显示：ℹ 根数留空，按 1 根计算。；单根材积：0.0314 m³ (1.109 ft³)；总重量：31.4 kg (69 lb)；所用密度：1,000 kg/m³；公式：圆柱：V = π d² L ÷ 4；ℹ 密度为典型值，树种和含水率不同可相差 ±20 % 以上；刚砍下的木材最重。For example, entering Units = m, cm, kg, Length (m or ft) = 1, Diameter (cm or in; small end) = 20, Wood = Custom density, Custom density (kg/m³) = 1000 in the Log Weight Calculator (Log Volume and Wood Density) gives: ℹ Number of logs is blank, so 1 log is used.; Volume per log: 0.0314 m³ (1.109 ft³); Total weight: 31.4 kg (69 lb); Density used: 1,000 kg/m³; Formula: Cylinder: V = π d² L / 4; ℹ Densities are typical values; species and moisture can change them by ±20 % or…

哪些输入会被检查？Which inputs are validated?

「原木重量计算器（材积公式与木材密度）」会检查这些输入——「长度（米或英尺）」、「直径（厘米或英寸；小头）」：必须填写，须大于 0；「大头直径（可选）」：须大于 0；「自定义密度（kg/m³）」：须大于 0 且不超过 1400；「根数」：须为整数；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Log Weight Calculator (Log Volume and Wood Density) checks its inputs — "Length (m or ft)", "Diameter (cm or in; small end)": required, must be greater than 0; "Large-end diameter (optional)": must be greater than 0; "Custom density (kg/m³)": must be more than 0 and at most 1400; "Number of logs": must be a whole number; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「原木重量计算器（材积公式与木材密度）」的设置：「单位」可选 米、厘米、千克、英尺、英寸、磅（默认 米、厘米、千克）；「长度（米或英尺）」默认 4；「直径（厘米或英寸；小头）」默认 30；「大头直径（可选）」可留空；「木材」可选 湿硬木（约 1000 kg/m³）、湿软木（约 850 kg/m³）、气干硬木（约 700 kg/m³）、气干软木（约 500 kg/m³）、自定义密度（默认 湿硬木（约 1000 kg/m³））；「自定义密度（kg/m³）」默认 700；「根数」默认 1。每次生成结果都按当前设置处理。Settings in the Log Weight Calculator (Log Volume and Wood Density) — "Units": m, cm, kg, ft, in, lb (default m, cm, kg); "Length (m or ft)" default 4; "Diameter (cm or in; small end)" default 30; "Large-end diameter (optional)" optional; "Wood": Green hardwood (about 1000 kg/m³), Green softwood (about 850 kg/m³), Seasoned hardwood (about 700 kg/m³), Seasoned softwood (about 500 kg/m³), Custom density (default Green hardwood (about 1000 kg/m³)); "Custom density (kg/m³)" default 700; "Number of logs" default 1. The…

计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?

「原木重量计算器（材积公式与木材密度）」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Log Weight Calculator (Log Volume and Wood Density) uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.

「原木重量计算器（材积公式与木材密度）」免费吗？需要注册吗？Is the Log Weight Calculator (Log Volume and Wood Density) free? Do I need an account?

「原木重量计算器（材积公式与木材密度）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Log Weight Calculator (Log Volume and Wood Density) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.