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This calculator computes all parameters (spring rate, maximum load, maximum stress, solid height, coil pitch, coil angle, wire length, resonant frequency, shear modulus, and spring mass) related to a compression spring from basic geometry and material data input.

In determining the total number of coils in the spring, the calculator assumes that the ends of the spring are squared.

Inputs
  Diameter of spring wire, d:    
  Outer diameter of spring, Douter:    
  Free length of spring, Lfree:    
  Number of active coils, na:    
  Youngs modulus of material, E:    
  Poisson ratio of material, n:    
  Density of material, r:    
Answers
  Spring constant, k:  2.60  lbf/in
  Maximum load possible, Fmax:  1.69  lbf
  Maximum shear stress possible, tmax:  51.7  ksi
  Maximum displacement possible, Ldef:  0.650  in
  Length of wire required to make spring:  14.7  in
  Solid height:  0.350  in
  Distance between coils in free spring:  0.125  in
  Rise angle of coils:  4.89  deg
  Lowest spring resonant frequency, fres:  256  Hz
  Shear modulus of material, G:  76.9  Gpa
  Mass of spring:  1.73  gm
 
Equations Behind the Calculator
See the companion page to view the equations for this calculator.