Mechanics · Bolts, preload and tightening
Bolt tightening torque calculator
Estimate torque for a target preload with a simple model whose result depends strongly on actual friction conditions.
Created v1.0
By Thibaut Grzelak, Mechanical Analysis Engineer
Results
View calculation detailsFormulas, SI conversion, numerical substitution and resultsOpen ↓
Calculation note
Full calculation details
Overall estimate using T = KFd. K groups thread, bearing-surface, coating and lubrication effects. Preload acts in one bolt with no relaxation or loss. For a critical joint, use manufacturer data or a qualified torque-tension procedure.
01Formulas and symbols
Formulas used
K × F × dEstimated tightening torqueT / (F × d)Factor grouping friction effects02Assumptions and limits
Scope of validity
- Overall estimate using T = KFd.
- K groups thread, bearing-surface, coating and lubrication effects.
- Preload acts in one bolt with no relaxation or loss.
- For a critical joint, use manufacturer data or a qualified torque-tension procedure.
03Validation example
Reference numerical case
- d = 12 mm, F = 35 kN and K = 0.20.
- T = 0.20 × 35,000 × 0.012.
- Estimated torque = 84 N·m.
04Frequently asked questions
Questions about the calculation
Is K = 0.20 always suitable?
No. It is only an illustrative starting value. Lubrication, coating, thread condition and bearing surfaces can change K substantially.
Why does torque not set preload exactly?
Most applied torque is dissipated by friction. Its variability creates substantial preload scatter.
Can this result be used for a critical joint?
Not by itself. Check the manufacturer specification, applicable code and a qualified tightening procedure.
05References
Technical references
- ISO 16047:2005, Fasteners — Torque/clamp force testing (with 2012 amendment).
- NASA RP-1228, Fastener Design Manual, simplified torque/preload relation.