Shear Stress Correction Factor given Diameter of Spring Wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))
Ks = (1+(.5*d/D))
This formula uses 3 Variables
Variables Used
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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
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.
STEP 1: Convert Input(s) to Base Unit
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ks = (1+(.5*d/D)) --> (1+(.5*0.004/0.036))
Evaluating ... ...
Ks = 1.05555555555556
STEP 3: Convert Result to Output's Unit
1.05555555555556 --> No Conversion Required
FINAL ANSWER
1.05555555555556 1.055556 <-- Shear Stress Correction Factor of Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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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))

Shear Stress Correction Factor given Diameter of Spring Wire Formula

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

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 Shear Stress Correction Factor given Diameter of Spring Wire?

Shear Stress Correction Factor given Diameter of Spring Wire calculator uses Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring)) to calculate the Shear Stress Correction Factor of Spring, The Shear Stress Correction Factor given Diameter of Spring Wire formula is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium. Shear Stress Correction Factor of Spring is denoted by Ks symbol.

How to calculate Shear Stress Correction Factor given Diameter of Spring Wire using this online calculator? To use this online calculator for Shear Stress Correction Factor given Diameter of Spring Wire, enter Diameter of spring wire (d) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Shear Stress Correction Factor given Diameter of Spring Wire calculation can be explained with given input values -> 1.055556 = (1+(.5*0.004/0.036)).

FAQ

What is Shear Stress Correction Factor given Diameter of Spring Wire?
The Shear Stress Correction Factor given Diameter of Spring Wire formula is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium and is represented as Ks = (1+(.5*d/D)) or Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring)). Diameter of spring wire is the diameter of the wire of which a spring is made & The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
How to calculate Shear Stress Correction Factor given Diameter of Spring Wire?
The Shear Stress Correction Factor given Diameter of Spring Wire formula is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium is calculated using Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring)). To calculate Shear Stress Correction Factor given Diameter of Spring Wire, you need Diameter of spring wire (d) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Diameter of spring wire & Mean Coil Diameter 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 Shear Stress Correction Factor of Spring?
In this formula, Shear Stress Correction Factor of Spring uses Diameter of spring wire & Mean Coil Diameter of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))
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