Spring constants from the physical dimensions of a spring

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SUMMARY

The discussion focuses on calculating the spring constant (k) of coil springs based on their physical dimensions. A user suspended a 0.6 kg mass from a coil spring with a 19mm coil diameter and 22 active coils, observing an oscillation period of approximately 0.6 seconds, leading to an estimated spring constant of about 65. The user expressed difficulty in finding accurate formulas or unit measures for spring constant calculations. Key resources mentioned include the Handbook of Spring Design from the Spring Manufacturers Institute and an online spring stiffness calculator from Acxesspring.

PREREQUISITES
  • Understanding of basic physics principles, particularly Hooke's Law
  • Familiarity with coil spring dimensions and properties
  • Knowledge of oscillation periods and mass-spring systems
  • Basic understanding of material properties, specifically spring steel
NEXT STEPS
  • Research the formulas for calculating spring constants for different coil spring configurations
  • Explore the Handbook of Spring Design for comprehensive guidelines on spring design
  • Utilize the online spring stiffness calculator for practical applications
  • Investigate the properties of music wire and its applications in spring manufacturing
USEFUL FOR

Mechanical engineers, physics students, hobbyists involved in spring design, and anyone interested in the mechanics of oscillating systems.

Alen_Esterling
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I’d like to know if anyone has formulas for calculating the spring constant (k) of coil springs, from their physical dimensions. I bought a coil spring, suspended a 0.6 kg mass to it, observed its oscillation period at very close to 0.6 seconds, and so believed the spring constant “k” to be about 65. The spring has a 19mm coil diameter, 22 active coils, the wire is 1mm diameter. Not sure of the shear modulus, but I believe it’s just spring steel. Can’t seem to find a formula that comes out even close to agreement, or even a place that tells the units of measure for their formulas.
 
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Everything you want to know about spring design, and more, is in the Handbook of Spring Design from the Spring Manufacturers Institute: https://smihq.org/store/ListProducts.aspx?catid=550000&ftr=. It has a hundred pages of spring goodness. Here is an online calculator that should do the job for you: https://www.acxesspring.com/spring-stiffness-calculator.html.

Your spring alloy is most likely music wire.
 
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