Compression Spring Rate Calculator

ENTER YOUR DIMENSIONS

Select Your Spring Type

compression

COMPRESSION

extension

EXTENSION

torsion

TORSION

Select Your Unit of Measurement

Attention:

Input results shown will be +/- 10% from middle value.
Hint: The closer your min and max inputs are, the more accurate your results will be!

Wire Diameter

Wire Diameter

Design type  
Min Max - IN

Outer Diameter

Outer Diameter

Inner Diameter

Design type  
Min Max - IN
Free Length

Free Length

Design type  
Min Max - IN
Total Coils

Total Coils

Design type  
Min Max -  
Material Type

Material Type

spring-wire-diameter

End Types

Wind Direction

Wind Direction

Wire Diameter

Wire Diameter

Design type  
Min Max - IN
Outer Diameter

Outer Diameter

Design type  
Min Max - IN
Length Inside Hooks

Length Inside
Hooks

Design type  
Min Max - IN
Material Type

Material Type

Hook Types

Hook Types

Wire Diameter

Wire Diameter

Design type  
Min Max - IN

Outer Diameter

Outer Diameter

Inner Diameter

Design type  
Min Max - IN
Leg Length 1

Leg Length 1

Design type  
>
Min Max - IN
Leg Length 2

Leg Length 2

Design type  
Min Max - IN
Free Position

Free Position or Leg Position in degrees

Design type  
Min Max -  
Total Coils

Total Coils

Design type  
Min Max -  
Material Type

Material Type

Wind Direction

Wind Direction

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Understanding Compression Spring Rate

Compression Spring rate refers to the constant force exerted by a compression spring for each inch or millimeter of travel when subjected to an applied load. It's a crucial spring specification that helps determine whether the compression spring can meet the working loads when installed in an application. This force remains constant, with the load and travel increasing consistently. The rate is calculated based on the spring's physical dimensions, such as wire diameter, active coils, and outer diameter. Additional dimensions like inner diameter, mean diameter, and correction can also be determined using these primary dimensions.

 

The Compression Spring Rate Formula

To calculate the spring rate of a compression spring based on its physical dimensions, including the material type, you can use the following formula:

k = Gd^4 / 8D^3N

Explanation of Symbols:

d = wire size (inches)
D = Mean Diameter (inches)
N = Number of active coils
D / d = Index correction
G = Shear Modulus of Material
k = Spring Constant

 

G-Value for Common Spring Materials

Music Wire = 11.5 x 10^6
Stainless Steel = 11.2 x 10^6
Phospher Bronze = 5.9 x 10^6
Monel = 9.6 x 10^6
Inconel = 11.5 x 10^6
Copper = 6.5 x 10^6
Beryllium Copper = 6.9 x 10^6

 

How to Measure Diagram

diagram explaining how to measure a compression spring with lines and arrows signaling each dimension along with the name of each dimension

 

How to Calculate Spring Rate

To calculate the spring rate necessary to meet your working loads, simply divide the load applied to the spring by the expected travel or compression distance. The formula for compression spring rate is as follows:

Rate = Load ÷ Travel
k = L ÷ T

Let's illustrate this with examples:

 

Example 1.)

Suppose you have a heavy-duty spring with a free length of 1 inch and it's expected to compress by 0.2 inches under a 5-pound load. To determine the compression spring rate, divide the load (5 pounds) by the travel (0.2 inches), resulting in a rate of 25 pounds of force per inch of travel.

k = L ÷ T
k = 5 ÷ 0.2
k = 25 lbf/in

First of two examples showing a spring at its free length and the same spring next to is at loaded height to explain how to calculate spring rate.

 

Example 2.)

Consider a compression spring with a free length of 5 inches, which is expected to compress by 2 inches under a 20-pound load. Calculating the compression spring rate involves dividing the load (20 pounds) by the travel (2 inches), yielding a rate of 10 pounds of force per inch.

k = L ÷ T
k = 20 ÷ 2
k = 10 lbf/in

 

Second of two examples showing a spring at its free length and the same spring next to is at loaded height to explain how to calculate spring rate.

 
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