Width given Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
d = ((K*44.7*R^3*N)/GTorsion)^(1/4)
This formula uses 5 Variables
Variables Used
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire of which a spring is made.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((K*44.7*R^3*N)/GTorsion)^(1/4) --> ((25000*44.7*0.225^3*9)/40000000000)^(1/4)
Evaluating ... ...
d = 0.0411381162470735
STEP 3: Convert Result to Output's Unit
0.0411381162470735 Meter -->41.1381162470735 Millimeter (Check conversion here)
FINAL ANSWER
41.1381162470735 41.13812 Millimeter <-- Diameter of Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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5 Square Section Wire Calculators

Mean Radius given Stiffness of Square Section Wire Spring
Go Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)
Width given Stiffness of Square Section Wire Spring
Go Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
Number of Spring Coils given Stiffness of Square Section Wire Spring
Go Number of Coils = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)
Stiffness of Square Section Wire Spring
Go Stiffness of Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)
Modulus of Rigidity given Stiffness of Square Section Wire Spring
Go Modulus of Rigidity = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4

Width given Stiffness of Square Section Wire Spring Formula

Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)
d = ((K*44.7*R^3*N)/GTorsion)^(1/4)

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 Width given Stiffness of Square Section Wire Spring?

Width given Stiffness of Square Section Wire Spring calculator uses Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4) to calculate the Diameter of Spring, The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the cross-section of the spring assembly. Diameter of Spring is denoted by d symbol.

How to calculate Width given Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Width given Stiffness of Square Section Wire Spring, enter Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (GTorsion) and hit the calculate button. Here is how the Width given Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 0.041138 = ((25000*44.7*0.225^3*9)/40000000000)^(1/4).

FAQ

What is Width given Stiffness of Square Section Wire Spring?
The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the cross-section of the spring assembly and is represented as d = ((K*44.7*R^3*N)/GTorsion)^(1/4) or Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, 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 & 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.
How to calculate Width given Stiffness of Square Section Wire Spring?
The Width given Stiffness of Square Section Wire Spring formula is defined as the width of the cross-section of the spring assembly is calculated using Diameter of Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4). To calculate Width given Stiffness of Square Section Wire Spring, you need Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Modulus of Rigidity (GTorsion). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Radius, Number of Coils & Modulus of Rigidity 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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