Bolt Torque Calculator

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Bolt Torque Calculator

Find the tightening torque for a bolt from its size, grade, thread and lubrication — using T = K × F × D — with the resulting clamp load, the proof-load margin, and a realistic torque range, because friction scatter is real.

How to Calculate Bolt Torque

This bolt torque calculator works from the standard fastener equation used across SAE and metric design:

T = K × F × D

where T is tightening torque, K is the nut factor (a friction term), F is the clamp load or preload you want in the joint, and D is the nominal bolt diameter. The trick is that you rarely know F directly — so this clamp load calculator derives it from the bolt’s proof strength and tensile stress area, then multiplies through to give torque in in-lb, ft-lb and N·m at once.

Clamp load comes from the bolt’s grade. Proof load = proof strength × tensile stress area, and a sensible preload is a fraction of that. This is what makes a bolt preload calculator far more useful than a fixed torque chart: change the grade, thread or lubrication and the numbers move with you, for both SAE bolt torque and metric bolt torque.

What Is the Nut Factor (K)?

The nut factor K rolls all the friction in a joint — under the head, in the threads, and any plating or lubricant — into a single multiplier. It is the single biggest source of scatter in torque control, which is why this fastener torque calculator reports a torque range, not just one number. Typical values:

ConditionTypical K
Dry steel0.20
Zinc plated0.18 – 0.22
Light oil0.15
Anti-seize0.11 – 0.14

Lower friction means more clamp load for the same torque — anti-seize can put roughly 40% more tension in a bolt than a dry assembly at the same wrench setting, which is exactly how fasteners get over-tightened.

How Much Preload Should a Bolt Have?

For a reusable structural joint, target a preload of 60-75% of the bolt’s proof load. That keeps the joint tight against vibration and fatigue while leaving margin below yield. The calculator defaults to 65% and flags you if you push past 75% (near proof) or above 90% (risk of yielding).

Worked example

A 1/2-13 Grade 5 bolt, dry (K = 0.20), at 65% preload:

Tensile stress area = 0.1419 in²  ·  proof load = 85,000 × 0.1419 ≈ 12,060 lb
Clamp load F = 0.65 × 12,060 ≈ 7,840 lb
T = 0.20 × 7,840 × 0.5 = 784 in-lb ≈ 65 ft-lb

Bolt Torque Reference Table

Approximate dry torque at 65% preload (your results above are exact for the inputs you choose):

SAE bolt (Grade 5)ft-lbMetric (Class 8.8)N·m
1/4-207M823
3/8-1627M1045
1/2-1365M1279
5/8-11130M16196
3/4-10231M20383

Frequently Asked Questions

Why give a torque range instead of one value?

Because friction varies. The same wrench setting on a dry, oiled or plated bolt produces noticeably different clamp loads, so the range shows the realistic spread for your chosen condition.

Does lubrication change the torque?

Yes. A lubricated or anti-seize bolt needs less torque to reach the same clamp load. Use the matching lubrication setting, or your bolt will be over-tightened.

What is tensile stress area?

It is the effective cross-section that carries tension in a threaded bolt — smaller than the nominal area because of the threads. Proof and clamp loads are based on it.

Should I torque to a percentage of proof or yield?

Proof load is the standard reference for preload because it is the load a bolt can take with no permanent set. 60-75% of proof is the usual working target.

Torque values are estimates. Actual clamp load can vary significantly due to thread condition, lubrication, plating, washer surface, and tool accuracy. For critical or safety joints, verify preload with a calibrated method and consult the fastener or joint manufacturer.
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.