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

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Discussion Overview

The discussion revolves around calculating the spring constant (k) in N/m from a given load, specifically focusing on the relationship between load and spring extension. Participants explore how to determine the spring constant when it is not provided and whether ratios can be established between different springs based on their loads.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant, James, seeks guidance on calculating the spring constant from a maximum load of 20 pounds and questions if a ratio can be established between different spring constants based on their loads.
  • Another participant suggests that knowing the maximum working load may not be helpful for determining the spring constant, as it relates more to the safe operational limits of the spring rather than its elastic properties.
  • A participant references the definition of the spring constant, indicating that it assumes a linear relationship between stress and strain, and provides a method for calculating k by measuring the extension of the spring under a known weight.
  • There is a query about the units of k, specifically whether a spring rated at 20 pounds per inch translates to a specific value in N/m.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of maximum working load in determining the spring constant, indicating a lack of consensus on the best approach to calculate k.

Contextual Notes

There are assumptions regarding the linearity of deformation and the consistency of units that are not fully explored, as well as potential dependencies on the specific characteristics of the springs in question.

Who May Find This Useful

Individuals interested in mechanical engineering, physics, or anyone working with springs and needing to understand the relationship between load and spring constant.

jameslat
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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
 
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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?
 

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