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

✖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 [d₂]			+10% -10%
✖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 given Axial Force transmitted by Outer Spring [d₁]

⎘ Copy

👎

Formula

✖

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

Formula

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

Example

`"7.146428mm"=sqrt("1300N"*("5.5mm")^2/"770N")`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Force Transmitted by Outer Spring: 1300 Newton --> 1300 Newton No Conversion Required
Wire Diameter of Inner Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Force Transmitted by Inner Spring: 770 Newton --> 770 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = sqrt(P₁*d₂^2/P₂) --> sqrt(1300*0.0055^2/770)

Evaluating ... ...

d₁ = 0.00714642767901758

STEP 3: Convert Result to Output's Unit

0.00714642767901758 Meter -->7.14642767901758 Millimeter (Check conversion here)

FINAL ANSWER

7.14642767901758 ≈ 7.146428 Millimeter <-- Wire Diameter of Outer Spring

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Concentric Springs » Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring

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

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

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

Define Concentric Springs?

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 Outer Spring given Axial Force transmitted by Outer Spring?

Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring calculator uses Wire Diameter of Outer Spring = sqrt(Force Transmitted by Outer Spring*Wire Diameter of Inner Spring^2/Force Transmitted by Inner Spring) to calculate the Wire Diameter of Outer Spring, The Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring formula is defined as the thickness of the wire by which the spring coil is made. Wire Diameter of Outer Spring is denoted by d₁ symbol.

How to calculate Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring using this online calculator? To use this online calculator for Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring, enter Force Transmitted by Outer Spring (P₁), Wire Diameter of Inner Spring (d₂) & Force Transmitted by Inner Spring (P₂) and hit the calculate button. Here is how the Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring calculation can be explained with given input values -> 7146.428 = sqrt(1300*0.0055^2/770).

FAQ

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

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

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

The Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring formula is defined as the thickness of the wire by which the spring coil is made is calculated using Wire Diameter of Outer Spring = sqrt(Force Transmitted by Outer Spring*Wire Diameter of Inner Spring^2/Force Transmitted by Inner Spring). To calculate Wire Diameter of Outer Spring given Axial Force transmitted by Outer Spring, you need Force Transmitted by Outer Spring (P₁), Wire Diameter of Inner Spring (d₂) & Force Transmitted by Inner Spring (P₂). With our tool, you need to enter the respective value for Force Transmitted by Outer Spring, Wire Diameter of Inner Spring & Force Transmitted by 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 Wire Diameter of Outer Spring?

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

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

Home

FREE PDFs

🔍 Search