Mean Coil diameter given Shear Stress Correction Factor Calculator

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✖Diameter of spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of spring wire [d]			+10% -10%
✖Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.ⓘ Shear Stress Correction Factor of Spring [K_s]			+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 given Shear Stress Correction Factor [D]

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Formula

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Mean Coil diameter given Shear Stress Correction Factor

Formula

`"D" = 0.5*"d"/("K"_{"s"}-1)`

Example

`"25mm"=0.5*"4mm"/("1.08"-1)`

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Mean Coil diameter given Shear Stress Correction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)
D = 0.5*d/(K_s-1)
This formula uses 3 Variables

Variables Used

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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Shear Stress Correction Factor of Spring - Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

STEP 1: Convert Input(s) to Base Unit

Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 0.5*d/(K_s-1) --> 0.5*0.004/(1.08-1)

Evaluating ... ...

D = 0.025

STEP 3: Convert Result to Output's Unit

0.025 Meter -->25 Millimeter (Check conversion here)

FINAL ANSWER

25 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Stress and Deflections in Springs » Mean Coil diameter given Shear Stress Correction Factor

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 24 Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Deflection in Spring

Go Diameter of spring wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Deflection of Spring))^(1/4)

Mean Coil Diameter given Deflection in Spring

Go Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)

Number of Active Coils given Deflection in Spring

Go Active Coils in Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))

Modulus of Rigidity given Deflection in Spring

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)

Deflection of Spring

Go Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)

Force Applied on Spring given Deflection in Spring

Go Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)

Diameter of Spring Wire given Resultant Stress in Spring

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

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

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

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

Diameter of Spring Wire given Rate of Spring

Go Diameter of spring wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/ (Modulus of rigidity of spring wire))^(1/4)

Mean Coil Diameter given Rate of Spring

Go Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

Modulus of Rigidity given Rate of Spring

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

Rate of Spring

Go Stiffness of Spring = Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)

Stress Factor of Spring

Go Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)

Shear Stress Correction Factor given Diameter of Spring Wire

Go Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))

Mean Coil diameter given Shear Stress Correction Factor

Go Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)

Diameter of Spring Wire given Shear Stress Correction Factor

Go Diameter of spring wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

Strain Energy Stored in Spring

Go Strain energy in spring = .5*Axial Spring Force*Deflection of Spring

Force Applied on Spring given Strain Energy Stored in Spring

Go Axial Spring Force = 2*Strain energy in spring/Deflection of Spring

Deflection of Spring given Strain Energy Stored

Go Deflection of Spring = 2*Strain energy in spring/Axial Spring Force

Rate of Spring given Deflection

Go Stiffness of Spring = Axial Spring Force/Deflection of Spring

Spring Index given Shear Stress Correction Factor

Go Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)

Shear Stress Correction Factor

Go Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))

Mean Coil diameter given Shear Stress Correction Factor Formula

Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)
D = 0.5*d/(K_s-1)

Define Shear Stress Correction Factor?

shear correction factors are defined comparing the strain energies of the average shear stresses with those obtained from the equilibrium.The computed quantities are necessary to determine the shear stiffness of beams with arbitrary cross–sections.

How to Calculate Mean Coil diameter given Shear Stress Correction Factor?

Mean Coil diameter given Shear Stress Correction Factor calculator uses Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1) to calculate the Mean Coil Diameter of Spring, The Mean Coil diameter given Shear Stress Correction Factor formula is defined as the average of the inner diameter of the spring and the outer diameter of the spring. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Coil diameter given Shear Stress Correction Factor using this online calculator? To use this online calculator for Mean Coil diameter given Shear Stress Correction Factor, enter Diameter of spring wire (d) & Shear Stress Correction Factor of Spring (K_s) and hit the calculate button. Here is how the Mean Coil diameter given Shear Stress Correction Factor calculation can be explained with given input values -> 25000 = 0.5*0.004/(1.08-1).

FAQ

What is Mean Coil diameter given Shear Stress Correction Factor?

The Mean Coil diameter given Shear Stress Correction Factor formula is defined as the average of the inner diameter of the spring and the outer diameter of the spring and is represented as D = 0.5*d/(K_s-1) or Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1). Diameter of spring wire is the diameter of the wire of which a spring is made & Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

How to calculate Mean Coil diameter given Shear Stress Correction Factor?

The Mean Coil diameter given Shear Stress Correction Factor formula is defined as the average of the inner diameter of the spring and the outer diameter of the spring is calculated using Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1). To calculate Mean Coil diameter given Shear Stress Correction Factor, you need Diameter of spring wire (d) & Shear Stress Correction Factor of Spring (K_s). With our tool, you need to enter the respective value for Diameter of spring wire & Shear Stress Correction Factor of Spring 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 Coil Diameter of Spring?

In this formula, Mean Coil Diameter of Spring uses Diameter of spring wire & Shear Stress Correction Factor of Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)
Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

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