How Do You Calculate the Spring Constant (N/m) from a Given Load?

  • Thread starter Thread starter jameslat
  • Start date Start date
  • Tags Tags
    Springs
Click For Summary
SUMMARY

The spring constant (k) can be calculated by measuring the extension of a spring when a known weight is applied. To determine k in N/m, one must hang a weight on the spring, measure the increase in length, and divide the force (in Newtons) by the length difference (in meters). The maximum working load of a spring does not directly provide k, as it relates to the safe operational limits rather than the spring's elastic properties. For example, a spring rated at 20 pounds per inch translates to approximately 2.257 N/m.

PREREQUISITES
  • Understanding of Hooke's Law and linear elasticity
  • Basic knowledge of force and weight conversion (pounds to Newtons)
  • Ability to measure length accurately (in meters)
  • Familiarity with spring mechanics and properties
NEXT STEPS
  • Research the principles of Hooke's Law in detail
  • Learn how to convert pounds to Newtons for accurate calculations
  • Explore methods for measuring spring extension accurately
  • Investigate the effects of permanent deformation on spring constants
USEFUL FOR

Engineers, physics students, and anyone involved in mechanical design or spring applications will benefit from this discussion on calculating spring constants.

jameslat
Messages
28
Reaction score
0
Hey all,
I'm working with springs and I curious as to how I find out the N/m of any given spring.
like if the maximum work load of a spring is 20 pounds how could I figure out the N/m of it (or the 'k', the spring constant, or what information about the spring do I all need to determine the constant in N/m if it is not given by the company?

Also can I establish a ratio? (random example) Like if a a 20 pound spring has 2 N/m would a 100 pound spring have 10 N/m ?

Or if I'm completely going in the wrong direction with this, please help direct me in the right one.

Any input would be most excellent!
Thanks!
-James
 
Physics news on Phys.org
Also a quick note, would it be easier if I knew that it was 20 lbs/in ?

thanks again!
 
Knowing the maximum working load of a spring will not in general be helpful in determining the spring constant, k. The maximum working load is likely related to the safe weight that can be utilized without either deforming or damaging the spring in some way...as in breaking it.

http://en.wikipedia.org/wiki/Spring_constant

explains that the spring consant k assumes stress is proportional to strain; that is, the deformation is linear, which is appropximately true when the spring is not permanently deformed...So this means that if a given load extends the spring some distance, twice that load will extend the spring twice that distance...k is a constant

From that description you should be able to figure out the k for any spring:

Hang a weight on a spring and measure the extended (increased) length of the spring...keeping your units consistent, of course...divide the force (weight) by the length difference...that's k...
 
Isn't the k measured in N/m though?
So if a 20 pound/in spring would have 2.257 N/m.
would this be the same as the k?
k=2.257?
 

Similar threads

  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
14
Views
2K
Replies
5
Views
2K
  • · Replies 27 ·
Replies
27
Views
4K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
3
Views
3K