首页Home › 科学与工程Science & Engineering
🌡️ 热膨胀计算器Thermal Expansion Calculator
按 ΔL = α·L₀·ΔT 计算材料受热后的长度变化（线膨胀），或按 ΔV = β·V₀·ΔT 计算体积变化；内置钢、铝、铜、玻璃、混凝土等常见材料的典型线膨胀系数。Calculate how much a material grows when heated — linear expansion ΔL = α·L₀·ΔT, or volumetric expansion ΔV = β·V₀·ΔT — with typical coefficients for steel, aluminium, copper, glass, concrete and more.
使用说明与常见问题How-to & FAQ
「热膨胀计算器」是什么？What is the Thermal Expansion Calculator tool?
按 ΔL = α·L₀·ΔT 计算材料受热后的长度变化（线膨胀），或按 ΔV = β·V₀·ΔT 计算体积变化；内置钢、铝、铜、玻璃、混凝土等常见材料的典型线膨胀系数。Calculate how much a material grows when heated — linear expansion ΔL = α·L₀·ΔT, or volumetric expansion ΔV = β·V₀·ΔT — with typical coefficients for steel, aluminium, copper, glass, concrete and more.
如何使用「热膨胀计算器」？How do I use the Thermal Expansion Calculator tool?
在「热膨胀计算器」中，填写「类型」、「材料（20 °C 典型值，×10⁻⁶/K）」、「自定义线膨胀系数 α（×10⁻⁶/K）」、「初始长度或体积（任意单位，结果用同一单位）」、「初始温度 °C」等参数，结果会随输入实时计算并显示在下方。In the Thermal Expansion Calculator: Fill in "Type", "Material (typical at 20 °C, ×10⁻⁶/K)", "Custom linear coefficient α (×10⁻⁶/K)", "Initial length or volume (any unit; results use the same unit)", "Initial temperature °C"; results are recalculated instantly as you type.
公式是什么？What are the formulas?
线膨胀：ΔL = α × L₀ × ΔT；体膨胀：ΔV = β × V₀ × ΔT，各向同性固体的 β ≈ 3α。ΔT 用 K 或 °C 都一样（温差相同）。Linear: ΔL = α × L₀ × ΔT; volumetric: ΔV = β × V₀ × ΔT, with β ≈ 3α for isotropic solids. ΔT is the same in K or °C.
系数从哪里来？Where do the coefficients come from?
表中为 20 °C 附近的典型值（示例值，各手册的数值因牌号和测量条件略有差异），实际值随合金成分和温度变化。精确计算请使用材料供应商数据或选择“自定义”。They are typical values near 20 °C (example defaults; handbooks differ slightly by grade and test conditions), and real values vary with alloy and temperature. For precise work use supplier data via Custom.
长度单位？What length unit?
输出与输入使用相同单位：输入 10 m 得到的 ΔL 单位也是 m，输入 mm 则为 mm。Output uses your input unit: 10 m in gives ΔL in m; mm in gives mm.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「热膨胀计算器」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 Thermal Expansion Calculator 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.
「热膨胀计算器」免费吗？需要注册吗？Is the Thermal Expansion Calculator free? Do I need an account?
「热膨胀计算器」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 Thermal Expansion Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.