Fundamental Principles and Mechanical Properties
Tension springs are helical spring components specifically designed to resist axial pulling forces. Their core characteristics include:
- Initial Tension: 0.1-5N (depending on wire diameter and material), ensuring springs remain tightly wound in free state
- Stiffness Range: 0.01-500N/mm, achieved by adjusting wire diameter, coil count and material
- Deformation Mechanism: When pulled, coils gradually separate with wire undergoing torsional deformation
- Energy Storage: 0.5-250J per mm elongation, depending on design parameters
Hooke's Law Application: Within elastic limits, spring elongation (x) is proportional to pulling force (F):
F = kx + F0
Where F0 is initial tension and k is spring stiffness (N/mm)
Structural Design and Geometric Parameters
Basic Parameter Definitions:
- Wire Diameter (d): 0.1-20mm, determines load capacity
- Mean Diameter (D): Average coil diameter, typically 4-16 times wire diameter
- Active Coils (N): Coils participating in elastic deformation, typically 2-50 coils
- Free Length (L0): Total length when unloaded
End Types:
- Half Loop Hook: Compact, suitable for tight spaces
- Full Loop Hook: High strength, for heavy loads
- Cross Center Hook: Self-centering, reduces side load
- Expanded Hook: Easy installation/removal
- Threaded End: For applications requiring precise adjustment
Manufacturing Process
1. Material Preparation
- Wire straightening: Precision ±0.02mm/m
- Surface cleaning: Remove oil and oxide layers
2. Cold Coiling
- Coiling machine precision: ±0.05mm
- Production rate: 50-200 pieces/minute
3. Heat Treatment
- Annealing temperature: 400-500°C (stress relief)
- Quenching + Tempering (for high strength springs)
4. Surface Treatment
- Plating thickness: 5-25μm
- Powder coating: 30-100μm
Material Property Comparison
Material |
Elastic Modulus (GPa) |
Allowable Stress (MPa) |
Density (g/cm³) |
High Carbon Steel |
200-210 |
800-1200 |
7.85 |
302 Stainless Steel |
190-200 |
600-900 |
7.93 |
Chrome Vanadium Steel |
205-215 |
1000-1400 |
7.85 |
Beryllium Copper |
110-130 |
500-800 |
8.25 |
Special Environment Materials:
- High Temperature (>300°C): Inconel alloy
- Corrosive Environment: Hastelloy
- Non-Magnetic Applications: Phosphor Bronze
Engineering Calculations and Design Formulas
1. Stiffness Calculation
k = (G × d⁴) / (8 × D³ × N)
G: Shear modulus; d: Wire diameter; D: Mean diameter; N: Active coils
2. Stress Verification
τ = (8 × F × D × Kw) / (π × d³) ≤ τallow
Kw: Wahl correction factor (1.1-1.3); τallow: Material allowable stress
3. Fatigue Life Estimation
Nf = (τa/τe)-b
τa: Stress amplitude; τe: Endurance limit; b: Material constant (6-12)
Industry Applications and Technical Standards
Automotive (ISO 10243 Standard)
- Clutch pedal: 50-100mm travel, ≥500,000 cycles
- Seatbelt pretensioner: 200-500N impulse force, <10ms response
Medical Devices (ISO 13485 Standard)
- Surgical forceps: 0.5-2N/mm stiffness, non-magnetic
- Respiratory valves: Resistant to disinfectants, 100,000 cycles
Industrial Machinery (DIN 2097 Standard)
- Conveyor belt tensioning: 50-500N preload, -40~120°C range
- Safety interlocks: Breaking load ≥2× working load
Installation and Maintenance Guidelines
Installation Specifications:
- Pre-stretch 10-20% of free length
- Angular misalignment <3°
- Avoid direct clamping of spring body with pliers
Lubrication Recommendations:
- Normal environment: Lithium grease, replenish every 6 months
- High temperature: Molybdenum disulfide, inspect every 3 months
- Food grade: NSF H1 certified lubricants
Life Prediction:
L10 = (C/P)3 × 106 cycles
C: Dynamic load rating; P: Equivalent dynamic load