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
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
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 component
Signed multiplier
Contribution lower (m)
Contribution upper (m)
1
1
0.01
0.0101
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.
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.
δdiametral = p d [(Ch+νh)/Eh + (Cs−νs)/Es]; Ch=(Do²+d²)/(Do²−d²); Cs=(d²+di²)/(d²−di²)
Free-axial, linear elastic, concentric uniform contact. Friction demand √(Fax²+(2T/d)²) ≤ μpminπdL. Maximum Lamé stress at maximum interference is checked separately.
Textbook references identify the method context. Historical numerical catalog, material and service-factor tables have not been copied or treated as current product ratings.
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.