Spring Index given Wire Diameter of Inner and Outer Springs Calculator

✖Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire.ⓘ Wire Diameter of Outer Spring [d₁]			+10% -10%
✖The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.ⓘ Wire Diameter of Inner Spring [d₂]			+10% -10%

✖Spring index of coil spring is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.ⓘ Spring Index given Wire Diameter of Inner and Outer Springs [C]

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Formula

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Spring Index given Wire Diameter of Inner and Outer Springs

Formula

`"C" = (2*"d"_{"1"})/("d"_{"1"}-"d"_{"2"})`

Example

`"13"=(2*"6.5mm")/("6.5mm"-"5.5mm")`

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Download Torsion of Coil Spring Formulas PDF

Spring Index given Wire Diameter of Inner and Outer Springs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)
C = (2*d₁)/(d₁-d₂)
This formula uses 3 Variables

Variables Used

Spring Index of Coil Spring - Spring index of coil spring is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
Wire Diameter of Outer Spring - (Measured in Meter) - Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire.
Wire Diameter of Inner Spring - (Measured in Meter) - The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.

STEP 1: Convert Input(s) to Base Unit

Wire Diameter of Outer Spring: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Wire Diameter of Inner Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (2*d₁)/(d₁-d₂) --> (2*0.0065)/(0.0065-0.0055)

Evaluating ... ...

C = 13

STEP 3: Convert Result to Output's Unit

13 --> No Conversion Required

FINAL ANSWER

13 <-- Spring Index of Coil Spring

(Calculation completed in 00.020 seconds)

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Created by Vivek Gaikwad

AISSMS College of Engineering, Pune (AISSMSCOE, Pune), Pune

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 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

Spring Index given Wire Diameter of Inner and Outer Springs Formula

Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)
C = (2*d₁)/(d₁-d₂)

What exactly is spring index?

In the design of helical springs, the designer should use good judgment in assuming the value of the spring index C. The spring index indicates the relative sharpness of the curvature of the coil. A low spring index means high sharpness of curvature. When the spring index is low (C < 3), the actual stresses in the wire are excessive due to the curvature effect. Such a spring is difficult to manufacture and special care in coiling is required to avoid cracking in some wires. When the spring index is high(C > 15), it results in a large variation in the coil diameter. Such a spring is prone to buckling and also tangles easily during handling.

How to Calculate Spring Index given Wire Diameter of Inner and Outer Springs?

Spring Index given Wire Diameter of Inner and Outer Springs calculator uses Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring) to calculate the Spring Index of Coil Spring, The Spring Index given Wire Diameter of Inner and Outer Springs is an indication of the relative sharpness of the curvature of the coil. Spring Index of Coil Spring is denoted by C symbol.

How to calculate Spring Index given Wire Diameter of Inner and Outer Springs using this online calculator? To use this online calculator for Spring Index given Wire Diameter of Inner and Outer Springs, enter Wire Diameter of Outer Spring (d₁) & Wire Diameter of Inner Spring (d₂) and hit the calculate button. Here is how the Spring Index given Wire Diameter of Inner and Outer Springs calculation can be explained with given input values -> 13 = (2*0.0065)/(0.0065-0.0055).

FAQ

What is Spring Index given Wire Diameter of Inner and Outer Springs?

The Spring Index given Wire Diameter of Inner and Outer Springs is an indication of the relative sharpness of the curvature of the coil and is represented as C = (2*d₁)/(d₁-d₂) or Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring). Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire & The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.

How to calculate Spring Index given Wire Diameter of Inner and Outer Springs?

The Spring Index given Wire Diameter of Inner and Outer Springs is an indication of the relative sharpness of the curvature of the coil is calculated using Spring Index of Coil Spring = (2*Wire Diameter of Outer Spring)/(Wire Diameter of Outer Spring-Wire Diameter of Inner Spring). To calculate Spring Index given Wire Diameter of Inner and Outer Springs, you need Wire Diameter of Outer Spring (d₁) & Wire Diameter of Inner Spring (d₂). With our tool, you need to enter the respective value for Wire Diameter of Outer Spring & Wire Diameter of Inner 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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