Free Engineering Tool
Gearbox Oil Fill Volume Calculator
Estimate oil quantity for industrial gearboxes. Supports spur, helical, bevel, worm, and planetary types. Oil level at temperature, thermal expansion, drain interval, and oil weight.
Oil Volume & Specifications
Empirical Oil Volume Formula
Where k is a type-dependent factor, a is center distance (m), b is face width (m). Multi-stage: each additional stage adds ~70% of the first stage volume.
| Gearbox Type | Factor k | Fill Ratio | VG Grade |
|---|---|---|---|
| Spur / Helical | 0.50 | 1/3 housing | VG 220 |
| Bevel | 0.60 | Per marks | VG 220–320 |
| Worm | 0.80 | To worm center | VG 320–460 (PAG) |
| Planetary | 0.35 | 1/3–1/2 housing | VG 150–220 |
| Hypoid | 0.65 | Per marks | VG 220–320 (EP) |
Oil Thermal Expansion
Mineral oil expansion coefficient β ≈ 0.0007/°C. Synthetic PAO similar. This means ~7% expansion per 100°C rise.
Practical Example
V₁ = 0.50 × 0.200² × 0.060 × 1000 = 1.20 L
V_total = 1.20 + 1.20 × 0.70 = 2.04 L
Oil weight = 2.04 × 0.87 = 1.77 kg
At 70°C (vs 15°C fill): V_hot = 2.04 × (1 + 0.0007 × 55) = 2.12 L (+79 mL)
Drain Interval Guidelines
| Oil Type | Normal (≤70°C) | Warm (70-90°C) | Hot (>90°C) |
|---|---|---|---|
| Mineral (VG 220) | 8,000–10,000 h | 4,000–6,000 h | 2,000–3,000 h |
| Semi-synthetic | 12,000–15,000 h | 6,000–10,000 h | 3,000–5,000 h |
| Full synthetic (PAO) | 15,000–20,000 h | 10,000–15,000 h | 5,000–8,000 h |
| PAG (worm gears) | 20,000–30,000 h | 12,000–18,000 h | 6,000–10,000 h |
⚠️ Note: These are approximate empirical values. Always follow the gearbox manufacturer’s specification for actual fill volume and oil grade.
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