Wheel stud thread engagement calculator

Calculate projection remaining after supplied stack, signed and modeled threaded engagement clipped to usable nut depth with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use projection remaining after supplied stack, signed and modeled threaded engagement clipped to usable nut depth to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Threaded stud projection from reference hub face (mm)
40
Wheel seat-to-hub stack thickness (mm)
25
Spacer thickness in same axial stack (mm)
5
Other axial stack thickness (mm)
0
Usable nut threaded depth (mm)
15
Thread pitch (mm/turn)
1.5
Externally supplied required engagement length (mm)
8
Projection remaining after supplied stack, signed (mm)
10
Modeled threaded engagement clipped to usable nut depth (mm)
10
Complete engaged turns
6
Fractional modeled engaged turns
6.666667
Engagement minus supplied required length (mm)
2

Try another scenario

Threaded stud projection from reference hub face (mm)
40
Wheel seat-to-hub stack thickness (mm)
25
Spacer thickness in same axial stack (mm)
12
Other axial stack thickness (mm)
0
Usable nut threaded depth (mm)
15
Thread pitch (mm/turn)
1.5
Externally supplied required engagement length (mm)
8
Projection remaining after supplied stack, signed (mm)
3
Modeled threaded engagement clipped to usable nut depth (mm)
3
Complete engaged turns
2
Fractional modeled engaged turns
2
Engagement minus supplied required length (mm)
-5
Calculation method

Calculation method

Projection remaining after supplied stack, signed (mm)

Projection−wheel−spacer−other supplied axial stack.

Modeled threaded engagement clipped to usable nut depth (mm)

max(0,min(remaining projection,usable nut threaded depth)).

Complete engaged turns

Exact floor(engagement/pitch), using scaled decimal integers.

Fractional modeled engaged turns

Engagement/pitch; partial threads are not counted as complete turns.

Engagement minus supplied required length (mm)

Signed difference to an externally supplied engagement requirement; no requirement is inferred.

Symbols and units
a
Threaded stud projection from reference hub face (mm)
b
Wheel seat-to-hub stack thickness (mm)
c
Spacer thickness in same axial stack (mm)
d
Other axial stack thickness (mm)
e
Usable nut threaded depth (mm)
f
Thread pitch (mm/turn)
g
Externally supplied required engagement length (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • An axial thread-length arithmetic model using measured usable threads. Chamfers, blind-bottoming, seat form, thread strength, torque and fastening suitability are not established; matching the supplied number is not installation approval.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

OpenStax: ratios, unit rates and supplied measurement arithmetic ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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