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Compression spring formulas are fundamental algorithms that engineers use to compute various parameters for compression springs. These formulas, honed through extensive research by the Acxess Spring team, are the backbone of our reliable spring design tool, Spring Creator. With these formulas, you can effortlessly determine your compression spring's, spring constant (k), working loads, wire length, and even measurements such as the wire length needed for producing one to a thousand springs or the total weight of one to a thousand springs. Spring Creator is a comprehensive spring design tool that enables you to generate a live 3D blueprint of your compression spring design at the click of a button, which can be emailed to yourself or a colleague for technical use. Produce custom spring 3D CAD files in seconds, no more drawing by hand.
To calculate solid height for a compression spring with closed and squared ends: (Lsolid), add one (1) to your total coils (N) and then multiply the result by the wire diameter (d).
Example: You have 9 total coils then add 1. 9+1=10
Wire Diameter: 0.040
10 x 0.040=0.400 Solid Height for closed and squared ends (with no grind).
In cases where your spring has ground ends, you only need to multiply the wire diameter by the total coils to get your solid height. Spring Manufacturers only grind half a wire diameter off each spring end which means they grind off a total of (1) one wire diameter from the spring's free length
Example: You have 9 total coils.
Wire Diameter: 0.040
10 x 0.040=0.400 Solid Height for closed and squared ends (with grind).
Determining your compression spring's diameters is straightforward. To calculate for the inner diameter (D inner), multiply the wire diameter (d) by two and subtract the result from the outer diameter (D outer). To calculate the outer diameter, perform the opposite operation; multiply the wire diameter by two and then add the result to the inner diameter. To calculate for the mean diameter (D) is the average of these two values, calculated by either subtracting one wire diameter from the outer diameter or adding one wire diameter to the inner diameter gives you mean diameter.
Inner Diameter = Outer Diameter – 2 (Wire Diameter)
D inner = D outer – 2d
Outer Diameter = Inner Diameter + 2 (Wire Diameter)
D outer = D inner + 2d
Mean Diameter = Outer Diameter – Wire Diameter
D = D outer – d
OR
Mean Diameter = Inner Diameter + Wire Diameter
D = D inner + d
The spring index of your compression spring influences the tightness of your springs diameter and the manufacturing complexity to see if your spring can be manufactured. To calculate the spring index, divide the mean diameter (D) by the wire diameter (d).
Index = Mean Diameter ÷ Wire Diameter
I = D ÷ d
Determining the length of your compression spring's wire helps estimate the material needed for manufacturing the springs. Calculate the wire length of one coil (cL) by multiplying the mean diameter by π (approximately 3.14). To find the total compression spring wire length (tL), multiply the coil wire length (cL) by the total number of coils (N).
Coil Wire Length = Mean Diameter x Pi
cL = Dπ
Total Wire Length = Coil Wire Length x Total Coils
tL = cL x N
The load and travel compression spring formulas provided here are essential for calculating your working loads. These formulas are invaluable for determining whether a spring meets your required load and travel distance. To calculate the distance traveled (T), divide the load (L) by the spring rate (k). To find the load (L), multiply the travel (T) by the spring rate (k).
Travel = Load ÷ Rate
T = L ÷ k
Load = Travel x Rate
L = Tk
Explore Spring Creator 5.0 and all these compression spring formulas will streamline your spring design and manufacturing process. Achieve greater precision and efficiency in your engineering endeavors. Discover the power of these formulas and the convenience of Spring Creator today.
Created by Alfonso Jaramillo J
President Acxess Spring
Over 40 Years of Experience in Spring Engineering and Manufacturing
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