Solve 2-D Spring Problem: 21.75 & 22.25 Equations

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The discussion focuses on solving a 2-D spring problem using two equations: Upper Lc: 21.75=k(Lo-Lcu) and Lower Lc: 22.25=k(Lo-Lcl). The total weight on the spring is calculated to be 31.25 lb, considering an assumed spring constant (k) of 5 lb/in. The maximum spring compression is determined to be 6.25 inches, with a starting spring length of 13 inches, leaving 6.75 inches for height adjustment. Calibration adjustments are necessary to ensure the spring does not bottom out during operation.

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morgan82
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http://i.imgur.com/uKydC.png

Here is the problem. I came up with two equations:

Upper Lc: 21.75=k(Lo-Lcu)
Lower Lc: 22.25=k(Lo-Lcl)

I am not sure what to do with this? How do I figure this out?
 
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Total weight on spring = 8 + 22 + scale platform + .25 . If you use 1 lb for the platform then total = 31.25 lb. Assuming k = 5 lb/in then d = (.25 + .25) / 5 + .5 = .6 inches. Max spring compression would be 31.25 / 5 = 6.25 inches. Starting with a 13 in. long spring leaves 6.75 for h. I would expect you would need to plan some adjustment for calibration. This also assumes the chosen spring can be compressed the needed amount without bottoming out.
 

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