Fits & Tolerances Calculator (ISO 286)

Calculate ISO 286 shaft and hole tolerance limits, fundamental deviations, clearance fits, interference fits, and transition fits for precision tooling.

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▸Formula · assumptions · worked example(ISO 286-1:2010 · ISO 286-2 · DIN 7154 / DIN 7155)

Formula

T_D = |ES - EI|, \quad T_d = |es - ei|, \quad C_{\max} = ES - ei, \quad C_{\min} = EI - es

ISO 286-1 system of limits and fits, fundamental deviations, and standard international tolerance grades (IT01 to IT18).

Assumptions

  • · Standard reference temperature of 20 °C (68 °F) for dimensional inspection per ISO 1
  • · Hole basis system (H) or shaft basis system (h) for standardized tooling economy
  • · Fit type classified deterministically: Clearance (Cmin ≥ 0), Interference (Cmax ≤ 0), or Transition
ISO 286-1:2010 / ISO 286-2 / DIN 7154

ISO 286 Standard Fit Verification (Ø50 H7/h6)

STATUS: PASS(Cmin = 0.000 mm, Cmax = 0.041 mm (h6/H7 locational clearance))

Standard hole-basis locational clearance fit calculation for cylindrical joint at reference temperature 20 °C.

1. Inputs & Boundary Parameters (Girdiler)
Nominal diameter D50.0 mm
Hole tolerance classH7 ISO 286
Shaft tolerance classh6 ISO 286
Basis systemHole basis (H) ISO 286-1
Reference temperature T020.0 °C
Standard step range30 < D ≤ 50 mm
2. Applied Governing Equations & Standard Clauses (Bağıntılar & Norm Maddesi)
Standard Tolerance Factor: i = 0.45 · D^(1/3) + 0.001 · D [μm]
ISO 286-1 Clause 5.2
Hole Tolerance (IT7): TD = 16 · i = 25 μm = 0.025 mm
ISO 286-1 Table 1
Shaft Tolerance (IT6): Td = 10 · i = 16 μm = 0.016 mm
ISO 286-1 Table 1
Maximum Clearance: Cmax = ES - ei = +0.025 - (-0.016) = +0.041 mm
ISO 286-1 Clause 3.2
Minimum Clearance: Cmin = EI - es = 0.000 - 0.000 = 0.000 mm
ISO 286-1 Clause 3.2
3. Intermediate Calculation Stages (Ara Değerler)
Geometric mean diameter DgmDgm = sqrt(30 · 50)
38.73 mm
Tolerance factor ii = 0.45·(38.73)^(1/3) + 0.001·38.73
1.561 μm
Hole size limits [Dmin, Dmax]ES = +0.025 mm, EI = 0.000 mm
[50.000, 50.025] mm
Shaft size limits [dmin, dmax]es = 0.000 mm, ei = -0.016 mm
[49.984, 50.000] mm
4. Engineering Verification Result & Limit Threshold (Sonuç + Sınır)PASS
Fit Classification & Clearance Band: Clearance Fit (Cmin = 0.000 mm, Cmax = +0.041 mm)
Acceptance limit: Cmin ≥ 0.000 mm (Non-negative clearance threshold)