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.

5 Gearbox TypesThermal ExpansionDrain IntervalOil Weight
Quick presets

Oil Volume & Specifications

Estimated Oil Fill Volume
Single Stage Volume
Oil Weight
Volume at Operating Temp
Thermal Expansion
Type Factor (k)
Recommended VG Grade
Oil Level Guidance
Drain Interval (mineral)
Drain Interval (synthetic)

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 TypeFactor kFill RatioVG Grade
Spur / Helical0.501/3 housingVG 220
Bevel0.60Per marksVG 220–320
Worm0.80To worm centerVG 320–460 (PAG)
Planetary0.351/3–1/2 housingVG 150–220
Hypoid0.65Per marksVG 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

Example — 2-Stage Helical Gearbox, a=200mm, b=60mm

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 TypeNormal (≤70°C)Warm (70-90°C)Hot (>90°C)
Mineral (VG 220)8,000–10,000 h4,000–6,000 h2,000–3,000 h
Semi-synthetic12,000–15,000 h6,000–10,000 h3,000–5,000 h
Full synthetic (PAO)15,000–20,000 h10,000–15,000 h5,000–8,000 h
PAG (worm gears)20,000–30,000 h12,000–18,000 h6,000–10,000 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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