Bolt Torque Calculator
Estimate tightening torque from bolt diameter, target clamping force, nut factor, and lubrication, with instant metric and imperial equivalents.
Bolt and load inputs
Use nominal shank diameter, not wrench or head size.
K is an empirical torque coefficient that bundles thread and bearing friction.
Required only for Custom. Enter a decimal from 0.05 to 0.40.
Required. Enter the nominal body diameter from 0.01 in to 4 in, or equivalent.
The factor is the estimated percentage reduction from the dry torque.
Required only for Custom. Enter 0% to 80%.
Required target preload. Enter a positive value within the selected fastener's verified design limits.
Changing this setting converts the same calculated torque; it does not change preload.
Estimated tightening torque
Live result based on the short-form torque – tension relationship.
Calculation detail
| Quantity | Canonical value | Selected-unit value | Role |
|---|---|---|---|
| Nominal diameter | 0.019050 m | 0.7500 in | Torque arm in T = KFd(1 – l) |
| Clamping force | 111,205.54 N | 25,000 lbf | Target axial preload |
| Nut factor K | 0.2000 | 0.2000 | Dry friction coefficient |
| Lubrication factor l | 40.00% | 40.00% | Reduces dry torque |
| Calculated torque | 254.22 N·m | 187.50 lbf·ft | Estimated wrench setting |
How to use this bolt torque calculator
What this calculator does
This calculator estimates the tightening torque needed to create a chosen axial clamping force in a threaded fastener. It uses the practical short-form relationship T = K × F × d × (1 – l/100), where torque depends on the nut factor, target preload, nominal bolt diameter, and an estimated lubrication reduction. It is useful for preliminary planning, checking a torque worksheet, comparing dry and lubricated assumptions, or converting one calculated torque into common metric and imperial units. It does not determine whether the bolt, nut, threads, joint material, or gasket can safely carry the selected preload. Final assembly values should come from the equipment manufacturer, an approved drawing, a qualified engineer, or validated torque – tension testing.
When to use it
- Estimate a starting torque when a target clamp load and an experimentally supported nut factor are known.
- Compare the effect of changing lubricant or coating assumptions before writing an assembly procedure.
- Convert a torque result among lbf·ft, lbf·in, and N·m while retaining the same physical preload estimate.
- Audit a hand calculation or build a documented spreadsheet for design review.
How to calculate
- The calculator opens with a complete demonstration: a 0.75 in zinc-plated steel bolt, K = 0.20, SAE 30 oil represented by a 40% lubrication factor, and a 25,000 lbf clamping force. The example workbook is already validated and Download Excel is available immediately.
- Choose Bolt type / nut factor. Select a preset only when it matches your fastener condition, or choose Custom and enter a tested K value.
- Enter Bolt diameter and select inches or millimetres. Use nominal shank diameter, not the bolt-head width or wrench size.
- Choose Lubricant. For a custom coating or lubricant, enter its estimated percentage torque reduction.
- Enter the required Clamping force and choose lbf, N, or kN. Then select the preferred Torque output unit. Results update live.
- Review Required torque, Dry torque, Lubrication reduction, Effective nut factor, Torque per 1,000 lbf, and the Calculation detail table. Download Excel exports the current canonical values, not rounded screen text.
- Reset clears the demonstration and all calculated content. Download Excel then becomes unavailable until a new complete valid state is entered.
Input guide
Bolt type / nut factor is required and supplies the dimensionless K coefficient. Presets show their assumed values; Custom accepts 0.05 to 0.40, for example 0.18. A larger K produces proportionally more required torque for the same preload. Do not treat a generic preset as a material strength rating. The Bolt diameter is a required positive decimal in inches or millimetres, such as 0.75 in or 19.05 mm. Larger diameter increases calculated torque linearly. A common mistake is entering head size instead of nominal thread diameter.
Lubricant is required. Dry means 0% reduction; SAE 30 oil is represented here by 40%; moly paste by 50%; Custom accepts 0% to 80%. Higher lubrication reduction lowers the estimated torque for the same target preload. Actual friction depends on the complete fastener and joint system, so use tested data whenever the application is critical. Clamping force is required and accepts a positive decimal in lbf, N, or kN, for example 25,000 lbf. Increasing it increases torque linearly. Do not enter proof load, yield strength, or tensile strength unless your design process has explicitly converted that value into a permissible preload. Torque output unit is required and only changes presentation; lbf·ft, lbf·in, and N·m all represent the same torque.
Output guide
Required torque is the estimated wrench torque in the selected output unit. Dry torque is the result before the lubrication reduction. Lubrication reduction is the arithmetic difference between dry and adjusted torque. Effective nut factor equals K multiplied by the remaining friction fraction, so the startup example gives 0.20 × 0.60 = 0.1200. Torque per 1,000 lbf normalizes the current geometry and friction assumption for quick scaling; it is not a universal specification. The three header pills repeat torque, preload, and effective K from the same canonical model. The Calculation detail table shows SI canonical values, selected-unit values, and each quantity's role in the equation.
Worked example
For the startup values, the diameter is 0.75 in = 0.0625 ft, K is 0.20, preload is 25,000 lbf, and the lubrication factor is 40%. First calculate dry torque: 0.20 × 25,000 × 0.0625 = 312.50 lbf·ft. The remaining fraction after lubrication is 1 – 0.40 = 0.60. Therefore adjusted torque is 312.50 × 0.60 = 187.50 lbf·ft, equivalent to 2,250.00 lbf·in or about 254.22 N·m. These exact values appear on first open and in the workbook checkpoints.
Learn more
For engineering context, review NASA's preloaded joint analysis methodology, which discusses preload uncertainty and nut-factor ranges, and Fastenal's torque – tension reference guide, which emphasizes that torque is only an indirect indication of tension.
How the torque model works
The short-form equation treats the nut factor as a compact empirical representation of thread and under-head friction. That convenience is also its limitation: a small change in K causes the same percentage change in predicted torque. Lubrication is shown separately here because the reference workflow exposes it as a percentage reduction, but in many engineering procedures the tested K value already incorporates the coating, lubricant, thread condition, washer, and bearing surface. Avoid applying both a lubricated K and an additional reduction unless the data source explicitly defines them that way.
The model is linear. Doubling preload doubles torque; doubling diameter doubles torque; reducing the remaining friction fraction by 25% reduces torque by 25%. This makes sensitivity easy to understand, but it does not capture thread pitch, torsional stress, embedment, joint stiffness, relaxation, prevailing torque, or statistical scatter. NASA's requirements for threaded fastening systems provide broader guidance for safety-critical aerospace joints.
Practical interpretation and common mistakes
- Use a calibrated torque wrench and an approved tightening sequence. A correct numerical setting cannot compensate for poor tool control or an uneven multi-bolt pattern.
- Do not mix diameter units with force units by hand. This calculator converts all inputs to metres and newtons before calculating, then converts the torque result back to the chosen display unit.
- Do not infer bolt capacity from the torque result. Capacity depends on material grade, tensile-stress area, thread engagement, joint material, temperature, fatigue, and safety factors.
- Do not reuse a nut factor after changing coating, lubricant, washer, surface finish, or reuse condition without validation. Fastenal's fastener engineering resources collect additional joint-design and torque references.
- For critical joints, direct or indirect preload verification – such as elongation measurement, load-indicating washers, ultrasonic measurement, or controlled-angle methods – may provide better assurance than torque alone.