Bearing Load Capacity Calculator
Calculate critical dynamic bearing load and L10 life
Calculation Parameters
Based on ISO 281 and bearing manufacturer standards
Calculation Results
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Bearing Selection Recommendations:
How the Calculator Works
Reference Standards
International Standards:
- ISO 281:2007 – Rolling bearings — Dynamic load ratings and rating life
- ISO/TS 16281 – Methods for calculating the modified reference rating life
- ANSI/ABMA Std 9 – Load ratings and fatigue life for ball bearings
- ANSI/ABMA Std 11 – Load ratings and fatigue life for roller bearings
Basic Dynamic Load Rating
The basic dynamic load rating C is calculated using:
where:
- C — basic dynamic load rating (N)
- P — equivalent dynamic bearing load (N)
- fL — life factor
- fT — temperature factor
- a1 — reliability factor
Equivalent Dynamic Load
For combined radial and axial loads:
where X and Y are factors dependent on the Fa/Fr ratio and bearing type.
Life Factor Calculation
The life factor is calculated from the required life:
where p = 3 for ball bearings and p = 10/3 for roller bearings.
Temperature Effects
Operating temperature affects bearing capacity:
- Up to 150°C (302°F): fT = 1.0
- 200°C (392°F): fT = 0.90
- 250°C (482°F): fT = 0.75
- 300°C (572°F): fT = 0.60
Bearing Type Selection Guide
- Ball Bearings: High speeds, moderate loads, low friction
- Cylindrical Roller: High radial loads, moderate speeds
- Spherical Roller: Heavy loads, misalignment capability
- Tapered Roller: Combined loads, high stiffness
- Needle Roller: High radial loads, compact design
Important Considerations
- Always consider safety factors for critical applications
- Account for shock loads and vibration
- Proper lubrication is essential for achieving calculated life
- Contamination can significantly reduce bearing life
- Consider bearing arrangement (fixed/floating) for thermal expansion
Usage Examples & Value Selection Guide
Example 1: Electric Motor Bearing
Scenario: 30 kW motor with belt drive
- Bearing Type: Ball bearing (deep groove)
- Radial Load: 2500 N (belt tension)
- Axial Load: 200 N (minor thrust)
- Speed: 1480 RPM
- Required Life: 40000 hours
- Temperature: 70°C
- Reliability: 90%
- Result: C ≈ 35 kN → Select 6309 (C = 52.7 kN)
Example 2: Pump Shaft Bearing
Scenario: Centrifugal pump with overhung impeller
- Bearing Type: Spherical roller bearing
- Radial Load: 8000 N (impeller weight + hydraulic)
- Axial Load: 3000 N (thrust load)
- Speed: 2950 RPM
- Required Life: 50000 hours
- Temperature: 85°C
- Reliability: 95%
- Result: C ≈ 125 kN → Select 22218 (C = 170 kN)
Example 3: Gearbox Output Shaft
Scenario: Industrial gearbox with heavy radial loads
- Bearing Type: Tapered roller bearing
- Radial Load: 15000 N
- Axial Load: 5000 N (helical gear thrust)
- Speed: 150 RPM
- Required Life: 100000 hours
- Temperature: 90°C
- Reliability: 98%
- Result: C ≈ 220 kN → Select 32220 (C = 298 kN)
How to Choose Values
Bearing Type Selection
- Ball Bearings:
- Speeds up to 20,000 RPM
- Light to moderate loads
- Low friction requirements
- Fa/Fr < 0.5 typical
- Cylindrical Roller:
- High radial loads only
- No axial load capacity (except NJ, NUP)
- Allow free axial movement
- High speed capability
- Spherical Roller:
- Very heavy loads
- Misalignment up to 2°
- Combined loads OK
- Lower speed limits
- Tapered Roller:
- High combined loads
- High stiffness needed
- Usually paired
- Fa/Fr up to 1.5
Load Calculation Tips
- Belt Drives: Radial load = 1.5-2.5 × belt tension
- Gear Drives: Include separating forces and dynamic factors
- Overhung Loads: Calculate moment loads at bearings
- Dynamic Factors:
- Light shock: × 1.2-1.5
- Moderate shock: × 1.5-2.0
- Heavy shock: × 2.0-3.0
Life Requirements by Application
- 8,000-12,000 hours: Household appliances, hand tools
- 20,000-30,000 hours: 8-hour daily operation machines
- 40,000-50,000 hours: 16-hour daily operation
- 60,000-100,000 hours: 24-hour continuous operation
- 100,000-200,000 hours: Critical equipment, no failures
Temperature Considerations
- Standard bearings: -30°C to +120°C
- High-temp bearings: Up to 200°C with special grease
- Stabilized bearings: Up to 250°C (S1 suffix)
- Special bearings: Up to 350°C (S2, S3 suffix)
- Note: Higher temps require special lubricants
Reliability Factor Selection
- 90% (a1=1.0): Standard industrial applications
- 95% (a1=0.62): Important equipment
- 96% (a1=0.53): Critical processes
- 97% (a1=0.44): Safety-critical
- 98% (a1=0.33): Aerospace, medical
- 99% (a1=0.21): Ultra-critical, no failure allowed
📘 Complete Guide: Bearing Load Capacity Calculator
🎯 What This Calculator Does
This calculator determines the required dynamic load rating for rolling element bearings and calculates their L10 life expectancy.
Essential tool for designing and selecting bearings for any rotating equipment.
🌍 Understanding ISO 281 Standard
ISO 281:2007 is the primary international standard for calculating bearing life. Based on decades of statistical data and testing of millions of bearings.
Key Concept: L10 Life
L10 (Basic Rating Life) is the number of revolutions (or hours) that 90% of bearings from a batch will reach or exceed under specified load. This means 10% will fail earlier, 90% will last longer.
Dynamic Load Rating (C) is the load at which a bearing will operate for 1 million revolutions with 90% reliability.
💼 Real-World Applications
1️⃣ New Equipment Design
Designing a new gearbox. Known: loads on shafts, speed, required service life (20,000 hours). Calculator selects bearing with needed load rating.
2️⃣ Bearing Replacement
Pump bearing failed prematurely. Check calculation: was bearing undersized? Select bearing with safety margin.
3️⃣ Remaining Life Assessment
Equipment operated 30,000 hours. Rated life was 50,000 hours. Approximately 20,000 hours remaining until scheduled replacement.
4️⃣ Operating Conditions Analysis
Workshop temperature increased from 25°C to 45°C. How does this affect bearing life? Calculator recalculates with temperature factor.
📊 Practical Example: Fan Motor
Application: 22 kW motor, 1460 RPM
- Radial load: 1800 N (rotor weight + belt tension)
- Axial load: 150 N
- Required life: 40,000 hours
- Temperature: 70°C
Calculation Result: Required C ≥ 28 kN
Selected: Bearing 6208 (C = 32.5 kN) – suitable with margin ✓
📖 Technical Glossary
- Rolling Element Bearing
- Support where sliding friction is replaced by rolling friction. Consists of inner ring, outer ring, rolling elements (balls or rollers), and cage.
- Dynamic Load Rating (C)
- Constant radial load under which bearing will operate for 1 million revolutions with 90% reliability. Primary bearing characteristic in catalogs.
- Static Load Rating (C0)
- Load causing permissible permanent deformations. Important for bearings with slow rotation or oscillating motion.
- Equivalent Dynamic Load (P)
- Constant radial load equivalent in effect on life to actual radial and axial loads. Formula: P = X×Fr + Y×Fa.
- Life Rating L10
- Operating life in hours that 90% of bearings will reach. Often called “basic rating life”.
- Exponent p
- Exponent in life calculation formula. For ball bearings p = 3, for roller bearings p = 10/3 ≈ 3.33.
- Temperature Factor fT
- Coefficient reducing load rating at elevated temperatures. Up to 150°C fT = 1.0, at 200°C fT = 0.9.
- Reliability Factor a1
- Coefficient for calculating life at required reliability different from 90%:
- 90% (L10): a1 = 1.0 – standard
- 95% (L5): a1 = 0.62
- 99% (L1): a1 = 0.21
⚠️ Important Considerations
- Calculations are based on proper lubrication and mounting
- Contamination can reduce life by 50-90%
- Misalignment dramatically decreases bearing life
- Always verify calculated loads include dynamic factors
- Check catalog specifications for specific bearing adjustments
🎓 Selection Guidelines
- Safety Factor: Use 1.2-1.5× calculated load rating for standard applications
- High Temperature: Above 120°C, use special bearings or increase size
- Heavy Shock Loads: Use roller bearings instead of ball bearings
- Combined Loads: Don’t forget to calculate equivalent load P correctly
- Mounting: Ensure proper fits – loose fitting causes fretting, tight fitting causes preload