Cross-sectional Area of Inner Spring Wire Calculator

✖Cross-Sectional Area of Inner Spring is defined as the area of the cross-section of the wire by which the inner spring is made.ⓘ Cross-sectional Area of Inner Spring Wire [a₂]

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Formula

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Cross-sectional Area of Inner Spring Wire

Formula

`"a"_{"2"} = pi*"d"_{"2"}^2`

Example

`"95.03318mm²"=pi*("5.5mm")^2`

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Cross-sectional Area of Inner Spring Wire Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2
a₂ = pi*d₂^2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Cross-Sectional Area of Inner Spring - (Measured in Square Meter) - Cross-Sectional Area of Inner Spring is defined as the area of the cross-section of the wire by which the inner spring is made.
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 Inner Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₂ = pi*d₂^2 --> pi*0.0055^2

Evaluating ... ...

a₂ = 9.50331777710912E-05

STEP 3: Convert Result to Output's Unit

9.50331777710912E-05 Square Meter -->95.0331777710912 Square Millimeter (Check conversion here)

FINAL ANSWER

95.0331777710912 ≈ 95.03318 Square Millimeter <-- Cross-Sectional Area of Inner Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Concentric Springs » Cross-sectional Area of Inner Spring Wire

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Cross-sectional Area of Inner Spring Wire Formula

Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2
a₂ = pi*d₂^2

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 Cross-sectional Area of Inner Spring Wire?

Cross-sectional Area of Inner Spring Wire calculator uses Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2 to calculate the Cross-Sectional Area of Inner Spring, The Cross-sectional Area of Inner Spring Wire formula is defined as the cross-sectional area of the wire by which the inner spring in concentric springs is made. Cross-Sectional Area of Inner Spring is denoted by a₂ symbol.

How to calculate Cross-sectional Area of Inner Spring Wire using this online calculator? To use this online calculator for Cross-sectional Area of Inner Spring Wire, enter Wire Diameter of Inner Spring (d₂) and hit the calculate button. Here is how the Cross-sectional Area of Inner Spring Wire calculation can be explained with given input values -> 9.5E+7 = pi*0.0055^2.

FAQ

What is Cross-sectional Area of Inner Spring Wire?

The Cross-sectional Area of Inner Spring Wire formula is defined as the cross-sectional area of the wire by which the inner spring in concentric springs is made and is represented as a₂ = pi*d₂^2 or Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2. The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.

How to calculate Cross-sectional Area of Inner Spring Wire?

The Cross-sectional Area of Inner Spring Wire formula is defined as the cross-sectional area of the wire by which the inner spring in concentric springs is made is calculated using Cross-Sectional Area of Inner Spring = pi*Wire Diameter of Inner Spring^2. To calculate Cross-sectional Area of Inner Spring Wire, you need Wire Diameter of Inner Spring (d₂). With our tool, you need to enter the respective value for 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.

How many ways are there to calculate Cross-Sectional Area of Inner Spring?

In this formula, Cross-Sectional Area of Inner Spring uses Wire Diameter of Inner Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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