Equivalent Spring Stiffness Calculator • Portable balancer, vibration analyzer "Balanset" for dynamic balancing crushers, fans, mulchers, augers on combines, shafts, centrifuges, turbines, and many others rotors Equivalent Spring Stiffness Calculator • Portable balancer, vibration analyzer "Balanset" for dynamic balancing crushers, fans, mulchers, augers on combines, shafts, centrifuges, turbines, and many others rotors
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Equivalent Spring Stiffness Calculator

Calculate combined stiffness for springs in series or parallel

Calculation Parameters

Based on ISO 26909 and Hooke’s Law principles






Use + for parallel, || for series. Example: (k1+k2)||(k3+k4)


Calculation Results

Equivalent Stiffness:
Total Compliance:
Force Distribution:
Deflection Distribution:

System Analysis:

How the Calculator Works

Springs in Parallel

When springs are arranged side-by-side (parallel), they share the load equally:

k_eq = k₁ + k₂ + k₃ + … + k_n

Characteristics:

  • Total stiffness increases
  • Same deflection for all springs
  • Force is distributed among springs
  • Used to increase load capacity

Springs in Series

When springs are connected end-to-end (series), they experience the same force:

1/k_eq = 1/k₁ + 1/k₂ + 1/k₃ + … + 1/k_n

Characteristics:

  • Total stiffness decreases
  • Same force through all springs
  • Total deflection is sum of individual deflections
  • Used to increase working range

Mixed Configurations

Complex arrangements combine series and parallel connections:

  • Calculate parallel groups first
  • Then calculate series combinations
  • Work from inside out for nested configurations

Spring Types and Applications

  • Compression Springs: Most common, resist compressive forces
  • Extension Springs: Resist tensile forces, have initial tension
  • Torsion Springs: Resist rotational forces, k in N·m/rad
  • Disc Springs: High load capacity in small space, non-linear

Important Considerations

  • Spring rate may vary with deflection (non-linear springs)
  • Consider coil binding in compression springs
  • Account for initial tension in extension springs
  • Temperature affects spring stiffness
  • Fatigue life depends on stress range

Practical Applications

  • Vibration Isolation: Series springs for lower frequency
  • Load Sharing: Parallel springs for heavy loads
  • Fine Tuning: Mixed configurations for specific characteristics
  • Redundancy: Multiple springs for safety

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📘 Spring Stiffness Calculator

Calculates equivalent stiffness of multiple springs in series, parallel, or mixed configurations.
Parallel: k = k₁ + k₂ + … | Series: 1/k = 1/k₁ + 1/k₂ + …

💼 Applications

  • Compressor Vibration Isolation: Required fn = 5 Hz, mass 1200 kg. Need k = 118 kN/m. Solution: 4 springs parallel × 29.5 kN/m each.
  • Instrument Suspension: Have 5000 N/m springs, need 2000 N/m. Solution: 2 in series → k = 2500 N/m. Add adjustment for fine-tuning.
  • Two-Stage Isolation: Upper: 4 springs × 10000 N/m parallel = 40 kN/m. Lower: 4 × 8000 N/m = 32 kN/m. Stages in series → effective ~18 kN/m.
  • Emergency Replacement: Broken spring 12000 N/m. Only 6000 N/m available. Solution: 2 parallel = 12000 N/m ✓

Spring Formula:

Helical spring: k = Gd⁴ / (8D³n) where G = shear modulus (80 GPa steel), d = wire Ø, D = mean coil Ø, n = active coils

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