In the world of Precision Metrology and CNC machining, adhering to the ISO 286 standard for limits and fits is non-negotiable. Whether you are designing a bearing press fit or a sliding shaft, understanding these metric standards is the difference between a smooth assembly and expensive scrap.
1. The Big Picture: Hole Basis vs. Shaft Basis
Before calculating numbers, you must choose a system.
- Hole Basis System (Most Common): We keep the hole size constant (e.g., exactly 20.00 mm with a tolerance of H7) and machine the shaft to fit. This is preferred because drills and reamers come in standard sizes.
- Shaft Basis System: We keep the shaft size constant (e.g., standard cold-rolled steel bar) and bore the hole to fit. Used for long shafts like textile rollers.
2. Common Fits for Design Engineers
While the standard lists thousands of combinations, 95% of engineering uses just these three:
A. Clearance Fit (Slide)
Code: H7/g6The shaft is always smaller than the hole. Used for:
Sliding gears, clutch discs, and pivot pins.
B. Transition Fit (Tap)
Code: H7/k6The zones overlap. It might be tight or loose. Used for:
Locating dowels, pulleys on shafts, and coupling hubs. Requires a light tap with a mallet.
C. Interference Fit (Press)
Code: H7/p6The shaft is always larger than the hole. Used for:
Permanent bearing mounts, bushings, and seal rings. Requires a hydraulic press or thermal shrink fitting.
3. Decoding the Numbers: IT Grades
The "Number" in the code (e.g., the '7' in H7) tells you the Cost of Manufacturing.
| IT Grade | Typical Process | Application |
|---|---|---|
| IT 01-4 | Lapping / Superfinishing | Gauge blocks, Fuel injectors |
| IT 5-7 | Precision Grinding / Reaming | Bearings, Engine pistons |
| IT 8-11 | Turning / Milling | General brackets, keyways |
4. Mathematical Calculation (IT Formula)
For general engineering (IT6 - IT16), the standard tolerance unit (i) in microns is calculated as:
Where D is the geometric mean of the size range.
Tolerance Grade Multipliers
| Grade | Tolerance Value |
|---|---|
| IT6 | 10i |
| IT7 | 16i |
| IT8 | 25i |
| IT9 | 40i |
5. Thermal Considerations (Shrink Fits)
For heavy interference fits (like a railway wheel on an axle), simple pressing is dangerous. We use Shrink Fitting.
By heating the hole (expanding it) and freezing the shaft (shrinking it) using liquid nitrogen, we create a temporary clearance gap.
Formula: ΔL = L × α × ΔT
6. Real-World Calculation Example
Let's calculate the limits for a standard 25 mm diameter shaft with a sliding fit (H7/g6).
Step 1: Identify the Parameters
- Basic Size: 25.000 mm
- Hole Tolerance (H7): For 25mm, IT7 = 21 µm (0.021 mm). Since it is 'H', the lower deviation is 0.
- Shaft Tolerance (g6): For 25mm, IT6 = 13 µm (0.013 mm). The fundamental deviation for 'g' is -7 µm (-0.007 mm).
Step 2: Calculate Limits
| Component | Max Limit | Min Limit | Result |
|---|---|---|---|
| Hole (H7) | 25.000 + 0.021 | 25.000 + 0 | Ø25.000 - Ø25.021 |
| Shaft (g6) | 25.000 - 0.007 | (25.000 - 0.007) - 0.013 | Ø24.980 - Ø24.993 |
Step 3: Determine the Fit
Max Clearance: 25.021 - 24.980 = 0.041 mm
Min Clearance: 25.000 - 24.993 = 0.007 mm
Result: The shaft will always slide freely with a small lubricating gap.
Conclusion
A design engineer must balance precision with cost. Specifying an H7 fit on a garden gate hinge is a waste of money; specifying H11 on a turbine bearing is a catastrophe.
📚 Related Engineering Guides
If you found this guide on Limits and Fits useful, check out these related practical design articles:
- 👉 The Engineer's Guide to Precision Alignment - Learn when to use transition fits for locating pins.
- 👉 Ball Detent Torque Limiters - How to design safety couplings using precision fits.
- 👉 Standards of Limits and Fits (Part 2) - Advanced calculations using Excel.
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