Stress Factor of Spring Calculator

✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Stress Factor of Spring [K]

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Formula

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Stress Factor of Spring

Formula

`"K" = ((4*"C"-1)/(4*"C"-4))+(0.615/"C")`

Example

`"1.162083"=((4*"9"-1)/(4*"9"-4))+(0.615/"9")`

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Stress Factor of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)
K = ((4*C-1)/(4*C-4))+(0.615/C)
This formula uses 2 Variables

Variables Used

Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.

STEP 1: Convert Input(s) to Base Unit

Spring Index: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = ((4*C-1)/(4*C-4))+(0.615/C) --> ((4*9-1)/(4*9-4))+(0.615/9)

Evaluating ... ...

K = 1.16208333333333

STEP 3: Convert Result to Output's Unit

1.16208333333333 --> No Conversion Required

FINAL ANSWER

1.16208333333333 ≈ 1.162083 <-- Wahl Factor 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 » Stress Factor of Spring

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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))

Stress Factor of Spring Formula

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

Define Stress Factor of the Spring?

The stiffness is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor.

How to Calculate Stress Factor of Spring?

Stress Factor of Spring calculator uses Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index) to calculate the Wahl Factor of Spring, The Stress Factor of Spring formula is defined as load per unit deflection. in order to take into account effect of direct shear and change in coil curvature stress factor is defined, which is known as Wahl's factor. Wahl Factor of Spring is denoted by K symbol.

How to calculate Stress Factor of Spring using this online calculator? To use this online calculator for Stress Factor of Spring, enter Spring Index (C) and hit the calculate button. Here is how the Stress Factor of Spring calculation can be explained with given input values -> 1.162083 = ((4*9-1)/(4*9-4))+(0.615/9).

FAQ

What is Stress Factor of Spring?

The Stress Factor of Spring formula is defined as load per unit deflection. in order to take into account effect of direct shear and change in coil curvature stress factor is defined, which is known as Wahl's factor and is represented as K = ((4*C-1)/(4*C-4))+(0.615/C) or Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index). Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.

How to calculate Stress Factor of Spring?

The Stress Factor of Spring formula is defined as load per unit deflection. in order to take into account effect of direct shear and change in coil curvature stress factor is defined, which is known as Wahl's factor is calculated using Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index). To calculate Stress Factor of Spring, you need Spring Index (C). With our tool, you need to enter the respective value for Spring Index 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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