Modulus of Rigidity given Rate of Spring Calculator

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%
✖The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.ⓘ Active Coils in Spring [N_a]			+10% -10%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖Modulus of rigidity of spring wire is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of Rigidity given Rate of Spring [G]

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Modulus of Rigidity given Rate of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity of Spring Wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^4
G = k*(8*D^3*N_a)/d^4
This formula uses 5 Variables

Variables Used

Modulus of Rigidity of Spring Wire - (Measured in Pascal) - Modulus of rigidity of spring wire is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
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 Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Active Coils in Spring - Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 5.9 Newton per Millimeter --> 5900 Newton per Meter (Check conversion here)
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Active Coils in Spring: 10 --> No Conversion Required
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = k*(8*D^3*N_a)/d^4 --> 5900*(8*0.036^3*10)/0.004^4

Evaluating ... ...

G = 86022000000

STEP 3: Convert Result to Output's Unit

86022000000 Pascal -->86022 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

86022 Newton per Square Millimeter <-- Modulus of Rigidity of Spring Wire

(Calculation completed in 00.004 seconds)

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< Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Resultant Stress in Spring

LaTeX Go Diameter of Spring Wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)

Mean Coil Diameter given Resultant Stress in Spring

LaTeX Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)

Force acting on Spring given Resultant Stress

LaTeX Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)

Resultant Stress in Spring

LaTeX Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of Spring Wire^3)

Modulus of Rigidity given Rate of Spring Formula

LaTeX Go

Modulus of Rigidity of Spring Wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^4
G = k*(8*D^3*N_a)/d^4

Define Modulus of Rigidity?

Shear modulus also known as Modulus of rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ. Shear Modulus of elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young’s modulus and bulk modulus. The shear modulus of material gives us the ratio of shear stress to shear strain in a body.

How to Calculate Modulus of Rigidity given Rate of Spring?

Modulus of Rigidity given Rate of Spring calculator uses Modulus of Rigidity of Spring Wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^4 to calculate the Modulus of Rigidity of Spring Wire, Modulus of Rigidity given Rate of Spring formula is defined as a measure of the stiffness of a spring, which is a critical parameter in determining the spring's ability to resist deformation under various types of loads, and is essential in the design and analysis of spring-based systems in mechanical engineering. Modulus of Rigidity of Spring Wire is denoted by G symbol.

How to calculate Modulus of Rigidity given Rate of Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Rate of Spring, enter Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Modulus of Rigidity given Rate of Spring calculation can be explained with given input values -> 0.107892 = 5900*(8*0.036^3*10)/0.004^4.

FAQ

What is Modulus of Rigidity given Rate of Spring?

Modulus of Rigidity given Rate of Spring formula is defined as a measure of the stiffness of a spring, which is a critical parameter in determining the spring's ability to resist deformation under various types of loads, and is essential in the design and analysis of spring-based systems in mechanical engineering and is represented as G = k*(8*D^3*N_a)/d^4 or Modulus of Rigidity of Spring Wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^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 Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring, Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring & Diameter of Spring Wire is the diameter of the wire of which a spring is made.

How to calculate Modulus of Rigidity given Rate of Spring?

Modulus of Rigidity given Rate of Spring formula is defined as a measure of the stiffness of a spring, which is a critical parameter in determining the spring's ability to resist deformation under various types of loads, and is essential in the design and analysis of spring-based systems in mechanical engineering is calculated using Modulus of Rigidity of Spring Wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^4. To calculate Modulus of Rigidity given Rate of Spring, you need Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Coil Diameter of Spring, Active Coils in Spring & Diameter of Spring Wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Modulus of Rigidity of Spring Wire?

In this formula, Modulus of Rigidity of Spring Wire uses Stiffness of Spring, Mean Coil Diameter of Spring, Active Coils in Spring & Diameter of Spring Wire. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modulus of Rigidity of Spring Wire = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Deflection of Spring*Diameter of Spring Wire^4)

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