Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Calculator

✖Modulus of Rigidity of Spring 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 of Spring [G]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Helical Spring [k]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%

✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring [R]

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Formula

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Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

Formula

`"R" = (("G"*"d"^4)/(64*"k"*"N"))^(1/3)`

Example

`"26.70304mm"=(("4MPa"*("26mm")^4)/(64*"0.75kN/m"*"2"))^(1/3)`

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Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)
R = ((G*d^4)/(64*k*N))^(1/3)
This formula uses 5 Variables

Variables Used

Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring 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.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Stiffness of Helical Spring: 0.75 Kilonewton per Meter --> 750 Newton per Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((G*d^4)/(64*k*N))^(1/3) --> ((4000000*0.026^4)/(64*750*2))^(1/3)

Evaluating ... ...

R = 0.0267030406402458

STEP 3: Convert Result to Output's Unit

0.0267030406402458 Meter -->26.7030406402458 Millimeter (Check conversion here)

FINAL ANSWER

26.7030406402458 ≈ 26.70304 Millimeter <-- Mean Radius Spring Coil

(Calculation completed in 00.004 seconds)

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< 6 Mean Radius of Spring Calculators

Mean Radius of Spring Rolls given Strain Energy Stored by Spring

Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)

Mean Radius of Spring Roll given Deflection of Spring

Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

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

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)

Mean Radius of Spring Rolls given Total Length of Wire of Spring

Go Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)

Mean Radius of Spring Coil

Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

< 11 Torsion of Coil Spring Calculators

Stress Concentration Factor at Inner Fibers of Coil given Spring Index

Go Stress Concentration Factor at Inner Fibers = (4*Spring Index of Coil Spring^2-Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring-1))

Stress Concentration Factor at Outer Fibers of Coils

Go Stress Concentration Factor at Outer Fibres = (4*Spring Index of Coil Spring^2+Spring Index of Coil Spring-1)/(4*Spring Index of Coil Spring*(Spring Index of Coil Spring+1))

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

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

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)

Spring Index given Wire Diameter of Inner and Outer Springs

Go Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)

Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index

Go Wire Diameter of Inner Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Outer Spring

Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index

Go Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner Spring

Total Axial Gap between Coils of Spring

Go Total Axial Gap between Coils of Springs = (Total Number of Coils-1)*Axial Gap between Adjacent Coils Bearing Max Load

Compressed Length of Coil Spring

Go Compressed Length of Spring = Solid Length of Spring+Total Axial Gap between Coils of Springs

Pitch of Coil Spring

Go Pitch of Coil Spring = Free Length of Spring/(Total Number of Coils-1)

Mean Radius of Spring Coil

Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)
R = ((G*d^4)/(64*k*N))^(1/3)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring calculator uses Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3) to calculate the Mean Radius Spring Coil, The Mean radius of spring coil of helical spring given stiffness of spring formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Mean Radius Spring Coil is denoted by R symbol.

How to calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring using this online calculator? To use this online calculator for Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring, enter Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Stiffness of Helical Spring (k) & Number of Coils (N) and hit the calculate button. Here is how the Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring calculation can be explained with given input values -> 1.8E+6 = ((4000000*0.026^4)/(64*750*2))^(1/3).

FAQ

What is Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

The Mean radius of spring coil of helical spring given stiffness of spring formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R = ((G*d^4)/(64*k*N))^(1/3) or Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3). Modulus of Rigidity of Spring 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, Diameter of spring wire is the diameter length of spring wire, Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

How to calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring?

The Mean radius of spring coil of helical spring given stiffness of spring formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3). To calculate Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring, you need Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Stiffness of Helical Spring (k) & Number of Coils (N). With our tool, you need to enter the respective value for Modulus of Rigidity of Spring, Diameter of Spring Wire, Stiffness of Helical Spring & Number of Coils 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 Mean Radius Spring Coil?

In this formula, Mean Radius Spring Coil uses Modulus of Rigidity of Spring, Diameter of Spring Wire, Stiffness of Helical Spring & Number of Coils. We can use 7 other way(s) to calculate the same, which is/are as follows -

Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load
Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)
Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)
Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)
Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

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