Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils)
K = (GTorsion*d^4)/(64*R^3*N)
This formula uses 5 Variables
Variables Used
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire of which a spring is made.
Mean Radius - (Measured in Meter) - The Mean Radius spring coil is the mean radius of the coils of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
STEP 1: Convert Input(s) to Base Unit
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = (GTorsion*d^4)/(64*R^3*N) --> (40000000000*0.045^4)/(64*0.225^3*9)
Evaluating ... ...
K = 25000
STEP 3: Convert Result to Output's Unit
25000 Newton per Meter -->25 Newton per Millimeter (Check conversion here)
FINAL ANSWER
25 Newton per Millimeter <-- Stiffness of Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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5 Stiffness Calculators

Mean Radius of Spring given Stiffness of Spring
Go Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(64*Stiffness of Spring*Number of Coils))^(1/3)
Diameter of Spring Wire or Coil given Stiffness of Spring
Go Diameter of Spring = ((64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
Number of Spring Coils given Stiffness of Spring
Go Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Stiffness of Spring)
Stiffness of Spring
Go Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils)
Modulus of Rigidity given Stiffness of Spring
Go Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4

Stiffness of Spring Formula

Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils)
K = (GTorsion*d^4)/(64*R^3*N)

What is Spring ?

A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Stiffness of Spring?

Stiffness of Spring calculator uses Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils) to calculate the Stiffness of Spring, The Stiffness of Spring formula is defined as the extent to which an object resists deformation in response to an applied force. Stiffness of Spring is denoted by K symbol.

How to calculate Stiffness of Spring using this online calculator? To use this online calculator for Stiffness of Spring, enter Modulus of Rigidity (GTorsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N) and hit the calculate button. Here is how the Stiffness of Spring calculation can be explained with given input values -> 0.025 = (40000000000*0.045^4)/(64*0.225^3*9).

FAQ

What is Stiffness of Spring?
The Stiffness of Spring formula is defined as the extent to which an object resists deformation in response to an applied force and is represented as K = (GTorsion*d^4)/(64*R^3*N) or Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils). Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G, Diameter of Spring wire is the diameter of the wire of which a spring is made, The Mean Radius spring coil is the mean radius of the coils of the spring & Number of Coils in spring is the total number of turns made by wire along its length.
How to calculate Stiffness of Spring?
The Stiffness of Spring formula is defined as the extent to which an object resists deformation in response to an applied force is calculated using Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(64*Mean Radius^3*Number of Coils). To calculate Stiffness of Spring, you need Modulus of Rigidity (GTorsion), Diameter of Spring (d), Mean Radius (R) & Number of Coils (N). With our tool, you need to enter the respective value for Modulus of Rigidity, Diameter of Spring, Mean Radius & Number of Coils and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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