Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index Calculator

✖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 of Coil Spring [C]			+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%

✖Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire.ⓘ Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index [d₁]

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Formula

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Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index

Formula

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

Example

`"9.166667mm"=("5"/("5"-2))*"5.5mm"`

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Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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

Spring Index of Coil Spring: 5 --> No Conversion Required
Wire Diameter of Inner Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = (C/(C-2))*d₂ --> (5/(5-2))*0.0055

Evaluating ... ...

d₁ = 0.00916666666666667

STEP 3: Convert Result to Output's Unit

0.00916666666666667 Meter -->9.16666666666667 Millimeter (Check conversion here)

FINAL ANSWER

9.16666666666667 ≈ 9.166667 Millimeter <-- Wire Diameter of Outer Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Springs » Torsion of Coil Spring » Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index

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

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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

Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index Formula

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

What are concentric springs?

A concentric spring consists of two helical compression springs, one inside the other, having the same axis. Concentric spring is also called a ‘nested’ spring. In general, there are two springs one inside other.

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

Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index calculator uses Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner Spring to calculate the Wire Diameter of Outer Spring, The Wire diameter of outer spring given wire diameter of inner spring and spring index is the wire diameter of outer spring out of two concentric springs. Wire Diameter of Outer Spring is denoted by d₁ symbol.

How to calculate Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index using this online calculator? To use this online calculator for Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index, enter Spring Index of Coil Spring (C) & Wire Diameter of Inner Spring (d₂) and hit the calculate button. Here is how the Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index calculation can be explained with given input values -> 9166.667 = (5/(5-2))*0.0055.

FAQ

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

The Wire diameter of outer spring given wire diameter of inner spring and spring index is the wire diameter of outer spring out of two concentric springs and is represented as d₁ = (C/(C-2))*d₂ or Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner 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 & The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.

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

The Wire diameter of outer spring given wire diameter of inner spring and spring index is the wire diameter of outer spring out of two concentric springs is calculated using Wire Diameter of Outer Spring = (Spring Index of Coil Spring/(Spring Index of Coil Spring-2))*Wire Diameter of Inner Spring. To calculate Wire Diameter of Outer Spring given Wire Diameter of Inner Spring and Spring Index, you need Spring Index of Coil Spring (C) & Wire Diameter of Inner Spring (d₂). With our tool, you need to enter the respective value for Spring Index of Coil 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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