Spring Index given Shear Stress Correction Factor Calculator

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Stress and Deflections in Springs

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✖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]

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✖Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.ⓘ Spring Index given Shear Stress Correction Factor [C]

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Formula

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Spring Index given Shear Stress Correction Factor

Formula

`"C" = (0.5)/("K"_{"s"}-1)`

Example

`"6.25"=(0.5)/("1.08"-1)`

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Spring Index given Shear Stress Correction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)
C = (0.5)/(K_s-1)
This formula uses 2 Variables

Variables Used

Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
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

Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (0.5)/(K_s-1) --> (0.5)/(1.08-1)

Evaluating ... ...

C = 6.24999999999999

STEP 3: Convert Result to Output's Unit

6.24999999999999 --> No Conversion Required

FINAL ANSWER

6.24999999999999 ≈ 6.25 <-- Spring Index

(Calculation completed in 00.004 seconds)

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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))

Spring Index given Shear Stress Correction Factor Formula

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

Define Spring Index?

The spring index is the relationship between the mean diameter and wire diameter. This is a very important relationship to consider for manufacturing ease and cost control. Large index springs often require additional tolerance on both diameter and length.

How to Calculate Spring Index given Shear Stress Correction Factor?

Spring Index given Shear Stress Correction Factor calculator uses Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1) to calculate the Spring Index, The Spring Index given Shear Stress Correction Factor formula is defined as the relationship between the mean diameter and wire diameter. Spring Index is denoted by C symbol.

How to calculate Spring Index given Shear Stress Correction Factor using this online calculator? To use this online calculator for Spring Index given Shear Stress Correction Factor, enter Shear Stress Correction Factor of Spring (K_s) and hit the calculate button. Here is how the Spring Index given Shear Stress Correction Factor calculation can be explained with given input values -> 6.25 = (0.5)/(1.08-1).

FAQ

What is Spring Index given Shear Stress Correction Factor?

The Spring Index given Shear Stress Correction Factor formula is defined as the relationship between the mean diameter and wire diameter and is represented as C = (0.5)/(K_s-1) or Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1). 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 Spring Index given Shear Stress Correction Factor?

The Spring Index given Shear Stress Correction Factor formula is defined as the relationship between the mean diameter and wire diameter is calculated using Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1). To calculate Spring Index given Shear Stress Correction Factor, you need Shear Stress Correction Factor of Spring (K_s). With our tool, you need to enter the respective value for 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.

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