Modulus of Rigidity given Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4
Gsq = (K*44.7*R^3*N)/d^4
This formula uses 5 Variables
Variables Used
Modulus of Rigidity of Square Section Wire Spring - (Measured in Pascal) - Modulus of Rigidity of Square Section Wire Spring is a measure of the material's ability to resist deformation under shear forces.
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 of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.
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
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Gsq = (K*44.7*R^3*N)/d^4 --> (25000*44.7*0.225^3*9)/0.045^4
Evaluating ... ...
Gsq = 27937500000
STEP 3: Convert Result to Output's Unit
27937500000 Pascal -->27.9375 Gigapascal (Check conversion ​here)
FINAL ANSWER
27.9375 Gigapascal <-- Modulus of Rigidity of Square Section Wire Spring
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Square Section Wire Calculators

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

Modulus of Rigidity given Stiffness of Square Section Wire Spring Formula

​LaTeX ​Go
Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4
Gsq = (K*44.7*R^3*N)/d^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 Modulus of Rigidity given Stiffness of Square Section Wire Spring?

Modulus of Rigidity given Stiffness of Square Section Wire Spring calculator uses Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4 to calculate the Modulus of Rigidity of Square Section Wire Spring, The Modulus of Rigidity given Stiffness of Square Section Wire Spring formula is defined as a measure of the material's ability to resist deformation under shear forces. Modulus of Rigidity of Square Section Wire Spring is denoted by Gsq symbol.

How to calculate Modulus of Rigidity given Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Stiffness of Square Section Wire Spring, enter Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Diameter of Spring (d) and hit the calculate button. Here is how the Modulus of Rigidity given Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 2.8E-8 = (25000*44.7*0.225^3*9)/0.045^4.

FAQ

What is Modulus of Rigidity given Stiffness of Square Section Wire Spring?
The Modulus of Rigidity given Stiffness of Square Section Wire Spring formula is defined as a measure of the material's ability to resist deformation under shear forces and is represented as Gsq = (K*44.7*R^3*N)/d^4 or Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^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 of spring coil is the average distance from the centerline of the spring wire to the axis of the spring, Number of Coils in spring is the total number of turns made by wire along its length & Diameter of Spring wire is the diameter of the wire from which a spring is made.
How to calculate Modulus of Rigidity given Stiffness of Square Section Wire Spring?
The Modulus of Rigidity given Stiffness of Square Section Wire Spring formula is defined as a measure of the material's ability to resist deformation under shear forces is calculated using Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4. To calculate Modulus of Rigidity given Stiffness of Square Section Wire Spring, you need Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Diameter of Spring (d). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Radius, Number of Coils & Diameter of Spring 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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