VALICALC / MECHANICAL ENGINEERING SUITE / DS24

Fits, Tolerance Stack & Interference Joint Design Sheet

Enter dimensional limits from your drawing or an authorized source. Worst-case interval arithmetic determines clearance and interference. A separate free-axial elastic Lamé model estimates minimum grip and maximum stress; no ISO fit table is invented or copied.

Verified mathematical models with explicit assumptions. Component capacity and applicability are shown as separate checks.

Labeled example inputs • SI calculations • Project revision 0 • No account or cloud upload

01 / ENGINEERING INPUTS

Define the operating point

mm
mm
mm
mm
mm
°C
°C
°C
1/K
1/K
mm
mm
mm
MPa
MPa
N·m
N
MPa
MPa

Stack components

Stack component 1
mm
mm
Stack component 2
mm
mm

02 / CALCULATE → SELECT → RECALCULATE

Calculation & checks

Minimum operating diametral clearance

-0.05 mm

Maximum operating diametral clearance

-0.01 mm

Guaranteed minimum diametral interference

0.01 mm

Maximum diametral interference

0.05 mm

Worst-case stack lower limit

4.95 mm

Worst-case stack upper limit

5.1 mm

Minimum elastic interface pressure

26.25 MPa

Maximum elastic interface pressure

131.25 MPa

Minimum friction force criterion

11,875.22023 N

Required combined axial / torque force

6,666.66667 N

Pure-torque limit at minimum interference

178.1283 N·m

Ideal maximum assembly sliding force

59,376.10115 N

Maximum hub elastic von Mises

306.25 MPa

Maximum shaft elastic von Mises

131.25 MPa
Fits, Tolerance Stack & Interference Joint Design Sheet: fit schematicHub expands / shaft contractsDiametral limit intervalp min → grip / p max → stressConcentric free-axial elastic model
Original schematic; not a manufacturing drawing. Interference · Hub · Shaft. Actual dimensions and model checks are listed in the calculation record.
Intermediate values and comparisons - SI units
Stack componentSigned multiplierContribution lower (m)Contribution upper (m)
110.010.0101
2-1-0.00505-0.005

Criterion-specific verification

  • PASSED · Interval classification

    Interference from temperature-adjusted entered limits; no fit class recommendation.

  • PASSED · Guaranteed contact at minimum interference

    Clearance or transition intervals cannot guarantee friction grip.

  • PASSED · Entered combined load / friction criterion

    sqrt(Faxial² + (2T/d)²) ≤ μ pmin πdL under uniform full-contact Coulomb assumptions.

  • UNKNOWN · Hub elastic yield criterion

    Linear elastic plane stress; maximum interference controls. No positive applicable limit was supplied.

  • UNKNOWN · Shaft elastic yield criterion

    Includes hollow-shaft inner surface hoop stress. No positive applicable limit was supplied.

  • UNKNOWN · Roughness, friction and thermal applicability

    Entered coefficients must be qualified. Plasticity, edge effects, centrifugal growth and noncircular features are omitted.

  • BLOCKED · Automatic ISO fit-class selection

    No approved current ISO 286 dataset has been supplied.

Method and calculation trace

cmin = Dmin(T) − dmax(T); cmax = Dmax(T) − dmin(T). Zero is included in the transition/boundary classification.

Diametral interference δ = p d [(Ch+νh)/Eh + (Cs−νs)/Es]. The factor of two from radial interference is explicitly absorbed into d.

Free-axial Lamé pressure, radial/hoop stress and friction are mathematical estimates. Combined transmitted loads use the minimum pressure; maximum pressure controls elastic stress.

Assumptions & scope

Dimensional limits and expansion coefficients are supplied inputs, not an authorized fit-class recommendation. Worst-case stacks assume independent bounded dimensions, with no probabilistic distribution.

Lamé pressure uses nominal circular contact diameter, separate E/ν, free axial strain and uniform full contact. Roughness flattening, plasticity, end effects, centrifugal growth and local keyways are omitted.

Combined axial/torque friction demand is checked at minimum positive interference; transition/clearance fits guarantee no grip. Friction and thermal examples are assumptions. Assembly force is an ideal estimate, not a press installation procedure.

Worked example

Hole 30.000–30.020 mm and shaft 30.030–30.050 mm at equal temperature give 0.010–0.050 mm diametral interference. Min interference controls grip; max interference controls elastic stress. A hotter hub increases its hole limits and may remove guaranteed grip.

Calculation methods and sources

Textbook references identify the method context. Historical numerical catalog, material and service-factor tables have not been copied or treated as current product ratings.

Related calculators and references

Existing component-selection Jobs → · All mechanical worksheets →

Common questions

Does this approve a real component?

No. The worksheet separates mathematical results from criterion-specific checks. Actual motor, belt, gear, shaft, bearing and joint capacity need applicable current source data and engineering review.

What changes after choosing a physical size?

The worksheet recalculates the outputs and geometry from the entered actual dimensions or discrete tooth/link count. Dependent checks are reevaluated; previously saved results are not restored as approvals.

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