Machine Seizes When AC Turns Off? How to Design for Thermal Expansion
Thermal expansion coefficients (steel 12×10⁻⁶, aluminum 23×10⁻⁶), calculation formula, sliding joints and long shaft design
1. Thermal Expansion Coefficients (α) by Material
- Carbon steel (SS400, S45C): α ≈ 12 × 10⁻⁶ /°C
- Stainless steel (SUS304): α ≈ 17 × 10⁻⁶ /°C
- Aluminum (A6061): α ≈ 23 × 10⁻⁶ /°C
- Gray cast iron (FC200): α ≈ 11 × 10⁻⁶ /°C
2. Thermal Expansion Formula
ΔL = α × L₀ × ΔT
- Example: Steel shaft 1,000mm, operating temp rise 80°C → ΔL = 12×10⁻⁶ × 1000 × 80 = 0.96mm
- Aluminum housing 500mm, same conditions → ΔL = 23×10⁻⁶ × 500 × 80 = 0.92mm
3. Dissimilar Material Trap
When a steel shaft runs in an aluminum housing, differential expansion creates problems.
- Aluminum expands more: At operating temperature, clearance increases; upon cooling, it tightens. Calculate fit at both extremes.
- Practical tip: For dissimilar material fits, verify clearance/interference at both maximum and minimum operating temperatures.
4. Long Shafts and Sliding Joints
- Long shafts (≥1m): Fix one bearing (locating) and allow axial float at the other (floating) to absorb thermal growth. Fixing both ends causes buckling.
- Piping: Use expansion joints or loop piping. Per meter of pipe at ΔT=80°C: steel ≈ 1.0mm, SUS ≈ 1.4mm expansion.
"Make 'design temperature' a mandatory field on your drawings. Assemblies designed at room temperature but operated hot need a clearly stated reference temperature. And for any long structure: one end fixed, one end free — no exceptions."
Thermal Expansion — US Engineering Reference
Common US thermal expansion coefficients (in/in/°F): carbon steel 6.5×10⁻⁶, aluminum 6061 13×10⁻⁶, copper 9.8×10⁻⁶, 304 stainless 9.6×10⁻⁶, brass 10.4×10⁻⁶, nylon 6/6 50×10⁻⁶. ASM Handbook Volume 1 publishes detailed tables; for cryogenic to high-temperature service, NIST cryogenic data tables (free online) are the dominant source.
Practical Implications
Steel-to-aluminum joints in temperature-cycling service must allow for ~7 μm/m·°C differential expansion — slot one of the holes or use a flexible coupling. Aluminum cylinders fitted with steel pistons typically use slip-fit at cold to allow growth at hot operating temp. Failure to account for differential expansion is a top-3 cause of cyclic-load joint loosening in US production equipment.