# Spring Potential Energy Equation Calculator

Spring Calculator Instructions

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!

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!

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!

#### Definition:

The equation for potential energy of a spring is

k = F ÷ x

Where as:

k= Spring Constant (Spring Rate)
F = Force
x = Distance Traveled

Meaning the energy needed to compress or extend a spring is equal to the amount of compression distance or extension distance of a spring.

Potential spring energy is used when an extension spring is stretched or when a compression spring is compressed. Spring energy is a constant k force also known as spring rate or spring constant. Example if the constant k force of a compression spring is 1 lbf/in. Then you would need 1lb of force to travel every one inch of distance.

Spring Creator Calculator makes your potential spring energy calculations easy because when designing a spring, the main factor is your spring’s constant k or spring rate because in the example of a compression spring you want to make sure that the spring will compress and travel down to a desired loaded height with a desired force load. For example, a (5”) five inch long spring which you want to travel down to a (3”) three inch loaded height, which is (2”) two inches of travel distance needs to have a spring constant (or spring rate) of 1lbf/in. in order to obtain a 2 lb load @ the (3”) three inch loaded height.

##### Formula equation for spring constant

k (spring rate) is:

k = Gd^4 ÷ (8D^3 na)
G = E÷2(1+v)
D = D outer – d
##### Formula symbols
d = Wire Diameter
D outer = Outer Diameter of Spring -d
D = Mean Diameter
E = Young’s Modulus of Material
G = Shear Modulus of Material
L free = Free Length
k = Spring Constant
na = Active Coils
v = Poison’s Ratio of Material

## Discover our designing tool: Spring Creator 5.0

Spring Creator 5.0 is the ideal online tool for engineers and makers looking to design the perfect spring for their projects. Our free platform allows you to create compression, extension, and torsion springs, adjusting properties according to your needs. By registering, you access advanced features like the Spring Force Tester, which simulates spring behavior under different loads. Try it for free today and optimize your designs with precision!

Created by Alfonso Jaramillo Jr
President Acxess Spring
Over 40 Years of Experience in Spring Engineering and Manufacturing