Skip to main content
Shops & Outbuildings Free Pro Features Available

Thermal Growth Fit Impact Calculator - Shaft & Housing Expansion

Calculate thermal expansion of shafts and housings and see the effect on bearing fit at operating temperature

Free thermal growth calculator that shows how temperature changes affect shaft and housing dimensions and the resulting impact on bearing fit. Enter the shaft material, housing material, nominal dimensions, ambient temperature, and operating temperature. The calculator computes dimensional growth using the coefficient of thermal expansion (CTE) for each material and shows the hot-running fit compared to the cold assembly fit. This is critical for bearing applications because the fit that is correct at room temperature may be too tight or too loose at operating temperature. Steel shafts in aluminum housings are a classic problem: aluminum expands roughly twice as fast as steel, so a bearing that is properly housed at 20°C can be loose in the housing at 80°C. Conversely, a steel shaft running hot inside a steel housing that stays cool tightens the inner ring fit beyond what was intended. The calculator handles steel, stainless steel, aluminum, cast iron, bronze, and copper housing and shaft materials.

Pro Tip: When mounting bearings in aluminum housings, always use a bearing with C3 internal clearance and start with a tighter housing fit than you would for cast iron. The aluminum housing will grow more than the steel outer ring at operating temperature, loosening the fit. A housing that feels properly tight at room temperature will be loose after the machine warms up.

PREVIEW All Pro features are currently free for a limited time. No license key required.

Thermal Growth Fit Impact Calculator

How It Works

  1. Select Materials

    Choose the shaft material and housing material. Common combinations include steel shaft in cast iron housing, steel shaft in aluminum housing, and stainless shaft in steel housing. Each material has a different CTE.

  2. Enter Dimensions

    Input the shaft diameter and housing bore diameter at room temperature. These are the cold assembly dimensions.

  3. Enter Temperatures

    Input the ambient (assembly) temperature and the operating temperatures for the shaft and housing. The shaft is usually hotter than the housing because it conducts heat from the process. The housing temperature depends on cooling and ambient conditions.

  4. Review Thermal Growth

    See the dimensional change for both the shaft and housing, the resulting hot-running fit, and how it compares to the cold assembly fit. The calculator shows whether the fit tightens or loosens with temperature.

  5. Evaluate Fit Impact

    The calculator flags potential problems: inner ring fit that tightens enough to eliminate internal clearance, or housing fit that loosens enough to cause outer ring creep. Recommendations for bearing clearance class and fit adjustments are provided.

Built For

  • Mechanical engineers designing bearing arrangements for equipment with significant temperature rise
  • Maintenance engineers investigating bearing failures in high-temperature applications
  • Reliability teams evaluating fit conditions for pumps, motors, fans, and gearboxes
  • Millwrights selecting bearing clearance class (C3, C4) based on expected thermal growth
  • Application engineers checking aluminum housing designs for bearing fit at operating temperature

Frequently Asked Questions

Carbon steel has a CTE of about 11-12 µm/m/°C (6.0-6.7 µin/in/°F). A 50mm steel shaft heated from 20°C to 80°C (a 60°C rise) grows by about 0.036mm (0.0014 inches). That is enough to significantly tighten an inner ring press fit that was designed for room temperature assembly.
Aluminum has a CTE of about 23 µm/m/°C, roughly double that of steel. The bearing outer ring is always steel. When the aluminum housing heats up, it expands faster than the steel ring, loosening the fit. A bearing that was mounted with 0.010mm interference at 20°C can have clearance at 80°C. The outer ring then creeps in the housing, causing fretting and vibration.
Use C3 clearance when the operating temperature exceeds 100°C or when the inner ring has a tight interference fit. Use C4 clearance for temperatures above 150°C or when both the shaft fit is tight and the operating temperature is high. Standard clearance (CN) bearings are suitable for most applications below 100°C with normal shaft fits.
Yes. Differential thermal growth between the drive end and non-drive end of a machine changes the alignment. A motor-pump set that is aligned cold will go out of alignment when the pump reaches operating temperature. This is why precision alignment uses hot-alignment targets based on expected thermal growth.
Disclaimer: CTE values used are nominal for common engineering alloys. Actual CTE varies by alloy grade, heat treatment, and temperature range. For precision applications, use the specific CTE from the material data sheet. Thermal growth calculations assume uniform temperature distribution, which is an approximation for most real-world applications.

Learn More

Shops & Outbuildings

Bearing Fits: Why Thousandths of an Inch Matter

How to get the shaft fit right, why loose or tight fits cause different problems, and how thermal growth changes the fit at operating temperature.

Shops & Outbuildings

Thermal Growth and Bearings: What Changes When Machines Heat Up

How temperature affects shaft fit, housing fit, alignment, and internal clearance. CTE values for common materials and when to use C3 or C4 clearance bearings.

Shops & Outbuildings

Bearing Installation: Getting It Right Without Damaging the Bearing

Pressing, heating, pulling, and the installation mistakes that create the next failure. When to use an induction heater versus a hydraulic press.

Shops & Outbuildings

Bearing Removal Force: How Much Pull Does It Take?

Estimating press and pull force for safe bearing installation and removal. When to use mechanical pullers, hydraulic pullers, or induction heating.

Shops & Outbuildings

Coupling Alignment: Offset, Angularity & Tolerance by Type

Shaft alignment fundamentals: offset vs angularity, tolerance standards by coupling type, rim-and-face vs reverse indicator vs laser methods, and thermal growth compensation.

Related Tools

Shops & Outbuildings Live

Shop Heater BTU Sizing Calculator

Calculate the exact BTU output your shop or garage heater needs. Factors in wall R-values, ceiling insulation, slab edge loss, overhead door infiltration, and air changes per hour to size propane, natural gas, and electric heaters correctly.

Shops & Outbuildings Live

Overhead Door Infiltration Loss Calculator

Calculate heat loss through overhead doors in shops, garages, and warehouses. Compares open-door vs closed-door losses, seal condition impact, and annual cost of infiltration with payback on door seals and high-speed doors.

Shops & Outbuildings Live

Long-Run Voltage Drop Calculator

Calculate voltage drop for long wire runs to detached shops, barns, garages, and outbuildings. Compares copper vs aluminum, shows motor starting voltage impact, and recommends the right wire size for your distance and load.