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

Bolts, preload and tightening
01Calculation inputsT = K × F × d
Input data diagramT is the estimated tightening torque, Fᵢ the target preload and d the nominal bolt diameter.TFᵢd
Input identificationT is the estimated tightening torque, Fᵢ the target preload and d the nominal bolt diameter.

Results are up to date.

03

Results

Metric
Target preload used
35kN
Nominal diameter used
12mm
Nut factor used
0.2—
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.

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01Formulas and symbols

Formulas used

TK × F × dEstimated tightening torque
KT / (F × d)Factor grouping friction effects
02Assumptions 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

  1. d = 12 mm, F = 35 kN and K = 0.20.
  2. T = 0.20 × 35,000 × 0.012.
  3. 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

  1. ISO 16047:2005, Fasteners — Torque/clamp force testing (with 2012 amendment).
  2. NASA RP-1228, Fastener Design Manual, simplified torque/preload relation.