Bolt Torque Calculator
Calculate required bolt tightening torque to achieve a desired clamping force using the T = K×D×F short-form torque equation.
About this calculator
This calculator applies the short-form torque equation T = K·D·F, where K is the nut factor (a lumped empirical stand-in for thread friction, bearing friction, and thread geometry — not a pure coefficient of friction), D is the nominal bolt diameter, and F is your target clamping force. Lower K values mean more of your applied torque converts into clamp load instead of being lost to friction, which is why lubricated or anti-seize-coated threads use tighter torque specs for the same clamp force than dry steel. Separately, the calculator estimates the bolt's tensile stress area using the standard UNC approximation At ≈ 0.7854×(d − 0.9743/n)², where n (threads per inch) is looked up from a built-in table of standard UNC pitches for each diameter — so results are only exact for standard UNC bolts, not UNF, metric, or custom threads.
Dividing your clamping force by that tensile area gives the bolt stress at your target preload, and comparing it against the proof load stress you entered yields the percent of proof load — a critical check, since exceeding roughly 85-90% risks permanent bolt stretch or failure during tightening rather than in service. Keep in mind torque-based tightening is inherently imprecise: friction variation alone can produce significant scatter in actual achieved clamp force for a given torque value, which is why critical joints often use torque-to-yield methods, ultrasonic preload measurement, or turn-of-nut techniques instead of torque wrenches alone.
Inputs
Results
Required Torque
375 in·lb
Required Torque
31.3 ft·lb
How to Use This Calculator
- Select the Bolt Diameter from the dropdown — standard UNC sizes from 1/4" to 1-1/2".
- Enter the Proof Load Stress in psi: SAE Grade 5 ≈ 85,000 psi, Grade 8 ≈ 120,000 psi.
- Set the Nut Factor (K): use 0.20 for dry steel, 0.15 for lubricated threads, 0.12 for anti-seize.
- Enter your Desired Clamping Force in lb — typically 75% of the bolt proof load for static joints.
- Read the Required Torque in in·lb and ft·lb, and apply it with a calibrated torque wrench.
- Check the % of Proof Load to confirm you are not over-stressing the bolt (keep below 85–90%).
How the result changes with Nut Factor (K)
| Nut Factor (K) | Required Torque | Required Torque |
|---|---|---|
| 0.08 | 187.5 in·lb | 15.6 ft·lb |
| 0.11 | 280 in·lb | 23.3 ft·lb |
| 0.23 | 562.5 in·lb | 46.9 ft·lb |
| 0.35 | 875 in·lb | 72.9 ft·lb |
What each input means
- Bolt Diameter
- Nominal bolt diameter. Select from standard UNC bolt sizes.
- Proof Load Stress
- Proof load stress of the bolt. SAE Grade 5 ≈ 85,000; Grade 8 ≈ 120,000; A325 ≈ 85,000 psi.
- Nut Factor (K)
- Nut factor (torque coefficient). Dry steel ≈ 0.20; lubricated ≈ 0.15; anti-seize ≈ 0.12; cadmium plated ≈ 0.10.
- Desired Clamping Force
- Required clamp load to maintain joint integrity. Typically 75% of bolt proof load for static joints.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersBolt Diameter = 0.5, Proof Load Stress = 85000, Nut Factor (K) = 0.15, Desired Clamping Force = 5000 = 4 input(s) provided
- Calculate Required TorqueRequired Torque375 = 375
- Calculate Required TorqueRequired Torque = round((requiredTorque / 12) * 10) / 1031.3 = 31.3
- Calculate Preload ForcePreload Force5000 = 5000
- Calculate Bolt StressBolt Stress35236 = 35236
Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a lower nut factor (K) mean I need less torque for the same clamp force?
The nut factor lumps thread friction, underhead friction, and thread geometry into one empirical number, and torque is directly proportional to it in T = K·D·F. Lubricants or anti-seize compounds cut friction and lower K, so a lubricated bolt reaches the same clamping force at a noticeably lower applied torque than the same bolt run dry.
Why does this calculator only give an accurate tensile stress area for standard UNC bolts?
The tensile stress area formula At ≈ 0.7854×(d − 0.9743/n)² depends on the thread pitch n, which the calculator looks up from a built-in table of standard UNC pitches keyed to diameter. Metric bolts, UNF fine-thread bolts, or custom pitches use different thread geometry, so if your bolt isn't a standard UNC size, the tensile area — and everything derived from it, like bolt stress and % of proof load — won't be accurate.
Why does the % of Proof Load output matter more than just hitting my target clamping force?
Percent of proof load compares the stress your target clamp force creates in the bolt against the proof load stress rating, and exceeding roughly 85-90% risks permanently stretching or yielding the bolt during tightening itself, before the joint even sees service loads. Staying below that threshold with margin keeps you clamping in the bolt's elastic range where preload stays stable over time.
Why might my actual clamp force differ a lot from what the torque wrench predicts?
Torque-controlled tightening only measures the torque you apply, not the clamp force it actually produces, and friction at the threads and under the bolt head can vary substantially between bolts even at the same nominal K value — from surface condition, contamination, or wear. That's why critical joints often switch to turn-of-nut methods, torque-to-yield tightening, or direct ultrasonic preload measurement instead of relying on a torque wrench and a nominal nut factor alone.
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