Modulus of Rigidity given Deflection in Spring Calculator

✖Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.ⓘ Axial Spring Force [P]			+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%
✖Deflection of Spring is how much the length of a spring changes when force is applied or released.ⓘ Deflection of Spring [δ]			+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 Deflection in Spring [G]

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Modulus of Rigidity given Deflection in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
G = (8*P*(D^3)*N_a)/(δ*d^4)
This formula uses 6 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.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
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.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.
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

Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Active Coils in Spring: 10 --> No Conversion Required
Deflection of Spring: 23.32125 Millimeter --> 0.02332125 Meter (Check conversion here)
Diameter of Spring Wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (8*P*(D^3)*N_a)/(δ*d^4) --> (8*138.2*(0.036^3)*10)/(0.02332125*0.004^4)

Evaluating ... ...

G = 86399999999.9999

STEP 3: Convert Result to Output's Unit

86399999999.9999 Pascal -->86399.9999999999 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

86399.9999999999 ≈ 86400 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 Deflection in Spring Formula

LaTeX Go

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)
G = (8*P*(D^3)*N_a)/(δ*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. hear Modulus of elasticity is one of the measures of mechanical properties of solids. Other elastic moduli are Young’s modulus a

How to Calculate Modulus of Rigidity given Deflection in Spring?

Modulus of Rigidity given Deflection in Spring calculator uses 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) to calculate the Modulus of Rigidity of Spring Wire, Modulus of Rigidity given Deflection in Spring formula is defined as a measure of the rigidity of a spring, which is the ratio of shear stress to shear strain within the proportional limit of the material, and is used to determine the stiffness of a spring under various loads. Modulus of Rigidity of Spring Wire is denoted by G symbol.

How to calculate Modulus of Rigidity given Deflection in Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Deflection in Spring, enter Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a), Deflection of Spring (δ) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Modulus of Rigidity given Deflection in Spring calculation can be explained with given input values -> 0.086442 = (8*138.2*(0.036^3)*10)/(0.02332125*0.004^4).

FAQ

What is Modulus of Rigidity given Deflection in Spring?

Modulus of Rigidity given Deflection in Spring formula is defined as a measure of the rigidity of a spring, which is the ratio of shear stress to shear strain within the proportional limit of the material, and is used to determine the stiffness of a spring under various loads and is represented as G = (8*P*(D^3)*N_a)/(δ*d^4) or 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). Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction, 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, Deflection of Spring is how much the length of a spring changes when force is applied or released & Diameter of Spring Wire is the diameter of the wire of which a spring is made.

How to calculate Modulus of Rigidity given Deflection in Spring?

Modulus of Rigidity given Deflection in Spring formula is defined as a measure of the rigidity of a spring, which is the ratio of shear stress to shear strain within the proportional limit of the material, and is used to determine the stiffness of a spring under various loads is calculated using 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). To calculate Modulus of Rigidity given Deflection in Spring, you need Axial Spring Force (P), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a), Deflection of Spring (δ) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Axial Spring Force, Mean Coil Diameter of Spring, Active Coils in Spring, Deflection of 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 Axial Spring Force, Mean Coil Diameter of Spring, Active Coils in Spring, Deflection of 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 = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of Spring Wire^4

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