Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring Calculator

✖Force Transmitted by Inner Spring is defined as the axial force transmitted by the innermost spring in the concentric springs.ⓘ Force Transmitted by Inner Spring [P₂]			+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 [d₁]			+10% -10%
✖Force Transmitted by Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.ⓘ Force Transmitted by Outer Spring [P₁]			+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 given Axial Force transmitted by Outer Spring [d₂]

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Formula

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Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring

Formula

`"d"_{"2"} = sqrt("P"_{"2"}*"d"_{"1"}^2/"P"_{"1"})`

Example

`"5.002499mm"=sqrt("770N"*("6.5mm")^2/"1300N")`

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Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring)
d₂ = sqrt(P₂*d₁^2/P₁)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Force Transmitted by Inner Spring - (Measured in Newton) - Force Transmitted by Inner Spring is defined as the axial force transmitted by the innermost spring in the concentric springs.
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.
Force Transmitted by Outer Spring - (Measured in Newton) - Force Transmitted by Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.

STEP 1: Convert Input(s) to Base Unit

Force Transmitted by Inner Spring: 770 Newton --> 770 Newton No Conversion Required
Wire Diameter of Outer Spring: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Force Transmitted by Outer Spring: 1300 Newton --> 1300 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = sqrt(P₂*d₁^2/P₁) --> sqrt(770*0.0065^2/1300)

Evaluating ... ...

d₂ = 0.0050024993753123

STEP 3: Convert Result to Output's Unit

0.0050024993753123 Meter -->5.0024993753123 Millimeter (Check conversion here)

FINAL ANSWER

5.0024993753123 ≈ 5.002499 Millimeter <-- Wire Diameter of Inner Spring

(Calculation completed in 00.008 seconds)

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Osmania University (OU), Hyderabad

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< 11 Concentric Springs Calculators

Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring

Go Wire Diameter of Outer Spring = sqrt(Force Transmitted by Outer Spring*Wire Diameter of Inner Spring^2/Force Transmitted by Inner Spring)

Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring

Go Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring)

Cross-sectional Area of Outer Spring given Axial force transmitted

Go Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/Force Transmitted by Inner Spring

Cross-Sectional Area of Inner Spring given Axial force transmitted

Go Cross-Sectional Area of Inner Spring = Cross-Sectional Area of Outer Spring*Force Transmitted by Inner Spring/Force Transmitted by Outer Spring

Axial Force transmitted by Inner Spring

Go Force Transmitted by Inner Spring = (Wire Diameter of Inner Spring^2*Force Transmitted by Outer Spring)/(Wire Diameter of Outer Spring^2)

Axial Force transmitted by Outer Spring

Go Force Transmitted by Outer Spring = Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of Inner Spring^2

Radial Clearance between Concentric Springs

Go Radial clearance between springs = (Wire Diameter of Outer Spring-Wire Diameter of Inner Spring)/2

Wire Diameter of Inner Spring given Radial Clearance between Springs

Go Wire Diameter of Inner Spring = Wire Diameter of Outer Spring-2*Radial clearance between springs

Wire Diameter of Outer Spring given Radial Clearance between Springs

Go Wire Diameter of Outer Spring = 2*Radial clearance between springs+Wire Diameter of Inner Spring

Cross-sectional Area of Outer Spring Wire

Go Cross-Sectional Area of Outer Spring = pi*Wire Diameter of Outer Spring^2/4

Cross-sectional Area of Inner Spring Wire

Go Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2

Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring Formula

Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring)
d₂ = sqrt(P₂*d₁^2/P₁)

Define Concentric Spring?

A concentric spring consists of two helical compression springs, one inside the other, having the same axis. It is also called a 'nested' spring. Adjacent springs having opposite hands, prevent the locking of coils, in the event of axial misalignment or buckling of springs.

How to Calculate Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring?

Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring calculator uses Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring) to calculate the Wire Diameter of Inner Spring, The Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring formula is defined as the thickness of the inner spring wire. Wire Diameter of Inner Spring is denoted by d₂ symbol.

How to calculate Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring using this online calculator? To use this online calculator for Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring, enter Force Transmitted by Inner Spring (P₂), Wire Diameter of Outer Spring (d₁) & Force Transmitted by Outer Spring (P₁) and hit the calculate button. Here is how the Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring calculation can be explained with given input values -> 5002.499 = sqrt(770*0.0065^2/1300).

FAQ

What is Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring?

The Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring formula is defined as the thickness of the inner spring wire and is represented as d₂ = sqrt(P₂*d₁^2/P₁) or Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring). Force Transmitted by Inner Spring is defined as the axial force transmitted by the innermost spring in the concentric springs, Wire Diameter of Outer Spring is defined as the diameter or the thickness of the outer spring wire & Force Transmitted by Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.

How to calculate Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring?

The Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring formula is defined as the thickness of the inner spring wire is calculated using Wire Diameter of Inner Spring = sqrt(Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by Outer Spring). To calculate Wire Diameter of Inner Spring given Axial Force transmitted by Outer Spring, you need Force Transmitted by Inner Spring (P₂), Wire Diameter of Outer Spring (d₁) & Force Transmitted by Outer Spring (P₁). With our tool, you need to enter the respective value for Force Transmitted by Inner Spring, Wire Diameter of Outer Spring & Force Transmitted by Outer 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 Wire Diameter of Inner Spring?

In this formula, Wire Diameter of Inner Spring uses Force Transmitted by Inner Spring, Wire Diameter of Outer Spring & Force Transmitted by Outer Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wire Diameter of Inner Spring = Wire Diameter of Outer Spring-2*Radial clearance between springs

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