03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器T = K × F × d

螺栓拧紧扭矩与轴向预紧力计算器

根据 T = K × F × d 换算紧固件安装拧紧扭矩、轴向夹紧预紧力、扭矩系数 K 或螺栓公称直径。

T = K × F × d

选择要计算的未知量（或直接在任意输入框中输入数值）：当前求解: T — Tightening Wrench Torque

Tightening Wrench Torque计算结果

Installation torque in Newton-meters (switch unit for lb·ft)

0.550,000.00

Nut Friction Factor (K-Factor)

Dimensionless torque coefficient (0.20 dry steel, 0.15 lubricated)

0.050.4

unit

Axial Clamp Preload Force

Bolt tension clamping the joint in Newtons (switch to kN or lbf)

1002,000,000.00

Nominal Bolt Diameter

Major thread diameter in meters (switch unit to mm or in)

0.0020.2

计算结果 · Tightening Wrench Torque (T)

88N·m

单位换算：

分步代入计算过程

01Canonical Law: T = K × F × d

02Given Inputs (Base Units): K = 0.2, F = 27,500 N, d = 0.016 m

03Solve for T (Tightening Wrench Torque): T = 88 N·m

The empirical Kellermann-Klein fastener equation relates tightening wrench torque T to axial bolt clamp preload F, nominal thread diameter d, and dimensionless nut friction factor K: T = K × F × d.

常见参考标准值

Dry Zinc-Plated Steel (K ≈ 0.20)M16 Class 8.8 @ 27.5 kN → 88 N·m

~90% of input torque is consumed by thread & head friction

Anti-Seize / Moly Lube (K ≈ 0.12 – 0.15)Reduces required torque by 25%–40%

Never use dry torque specs on lubricated threads

Target Preload (75% Proof Load)F ≈ 0.75 × A_t × σ_proof

VDI 2230 standard structural joint preload

20 行数值对照表

Tightening Wrench Torque (T) · Nut Friction Factor (K-Factor) (K)

对比变量：

Bolt Tightening Torque & Clamp Preload Calculator — Nut Friction Factor (K-Factor) → Tightening Wrench Torque
#	Nut Friction Factor (K-Factor) (K)	Tightening Wrench Torque (N·m)	Δ %
01	0.05	22 N·m	-75.00%
02	0.078947	34.7368 N·m	-60.53%
03	0.107895	47.4737 N·m	-46.05%
04	0.136842	60.2105 N·m	-31.58%
05	0.165789	72.9474 N·m	-17.11%
06	0.2 当前	88 N·m	0.00%
07	0.223684	98.4211 N·m	+11.84%
08	0.252632	111.1579 N·m	+26.32%
09	0.281579	123.8947 N·m	+40.79%
10	0.310526	136.6316 N·m	+55.26%
11	0.339474	149.3684 N·m	+69.74%
12	0.368421	162.1053 N·m	+84.21%
13	0.397368	174.8421 N·m	+98.68%
14	0.426316	187.5789 N·m	+113.16%
15	0.455263	200.3158 N·m	+127.63%
16	0.484211	213.0526 N·m	+142.11%
17	0.513158	225.7895 N·m	+156.58%
18	0.542105	238.5263 N·m	+171.05%
19	0.571053	251.2632 N·m	+185.53%
20	0.6	264 N·m	+200.00%

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常见问题解答 (FAQ)

如何使用在线螺栓拧紧扭矩与轴向预紧力计算器工具？+

输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化螺栓拧紧扭矩与轴向预紧力计算器（基于关系式 T = K × F × d）。根据 T = K × F × d 换算紧固件安装拧紧扭矩、轴向夹紧预紧力、扭矩系数 K 或螺栓公称直径。

可以导出或打印螺栓拧紧扭矩与轴向预紧力计算器的结果吗？+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空螺栓拧紧扭矩与轴向预紧力计算器中的示例数据并从空白状态开始吗？+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。