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Thermal Growth Compensation for Shaft Alignment

Calculate vertical centerline growth due to thermal expansion for driver and driven machines. Determine the cold alignment pre-offset target to achieve alignment at operating temperature.

Driver + Driven ΔH = H × α × ΔT Cold Offset Target
Enter data for both machines below. The difference determines the cold pre-offset.

Driver (e.g. Motor)

Driven (e.g. Pump)

Quick presets

Results

Cold Pre-Offset Target (Differential Growth)
Driver Thermal Growth
Driven Thermal Growth
Driver ΔT
Driven ΔT

Thermal Growth Formula

When a machine heats up, its frame expands vertically, raising the shaft centerline:

  • H — foot-to-centerline height (mm)
  • α — coefficient of thermal expansion (×10⁻⁶ /°C)
  • Top — operating temperature (°C)
  • Tamb — ambient temperature (°C)

Material CTE Values

Materialα (×10⁻⁶ /°C)
Carbon Steel12.0
Cast Iron10.5
Stainless Steel (304/316)16.0
Aluminum23.0

Typical Operating Temperatures

Machine TypeTypical Casing Temp (°C)
Electric Motor60 – 90
Centrifugal Pump (cold water)40 – 70
Steam Turbine80 – 200
Gearbox50 – 80
Compressor60 – 120

Practical Example

Example — Motor + Pump Train

Given: Ambient = 20°C

Motor: H = 200 mm, Steel (α = 12×10⁻⁶), Top = 80°C

Pump: H = 250 mm, Steel (α = 12×10⁻⁶), Top = 60°C

ΔHmotor = 200 × 12×10⁻⁶ × (80 − 20) = 0.144 mm

ΔHpump = 250 × 12×10⁻⁶ × (60 − 20) = 0.120 mm

Difference = 0.144 − 0.120 = 0.024 mm

The motor grows more → set motor 0.024 mm LOW during cold alignment.

💡 Tip: The machine that grows more should be set LOW at cold alignment. When both heat up, the differential growth brings them into alignment.

⚠️ Note: This calculation assumes uniform thermal expansion of the machine frame. In practice, thermal gradients, piping strain, and foundation effects may cause additional movements. Always verify with a hot alignment check when possible.

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Nikolai Shelkovenko

Nikolai Shelkovenko

Nikolai Shelkovenko is a vibration analysis engineer and the founder and CEO of Vibromera. For more than 15 years he has balanced rotating equipment in the field rather than on a test bench: mulchers, industrial fans, crushers, centrifuges, shafts and spindles. That work is what the Balanset instruments grew out of — they were designed as a tool a specialist can carry to the machine and use alone, on site, not as laboratory equipment. Vibromera was founded in 2017 and has been based in Porto, Portugal, since 2023. Development, assembly and support of the Balanset line all happen here. The flagship instrument is the Balanset-1A, a portable analyser for single- and two-plane balancing and for vibration diagnostics. Nikolai is personally involved in customer support, in working through difficult balancing cases and in the development of the software. He works with customers worldwide, in any language.

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