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%
✖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 Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.ⓘ Axial Force transmitted by Outer Spring [P₁]

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Formula

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Axial Force transmitted by Outer Spring

Formula

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

Example

`"1075.455N"="770N"*("6.5mm")^2/("5.5mm")^2`

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Axial Force transmitted by Outer Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Transmitted by Outer Spring = Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of Inner Spring^2
P₁ = P₂*d₁^2/d₂^2
This formula uses 4 Variables

Variables Used

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.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₁ = P₂*d₁^2/d₂^2 --> 770*0.0065^2/0.0055^2

Evaluating ... ...

P₁ = 1075.45454545455

STEP 3: Convert Result to Output's Unit

1075.45454545455 Newton --> No Conversion Required

FINAL ANSWER

1075.45454545455 ≈ 1075.455 Newton <-- Force Transmitted by Outer Spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Axial Force transmitted by Outer Spring Formula

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

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 Axial Force transmitted by Outer Spring?

Axial Force transmitted by Outer Spring calculator uses Force Transmitted by Outer Spring = Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of Inner Spring^2 to calculate the Force Transmitted by Outer Spring, Axial Force transmitted by Outer Spring formula is defined as the amount of force that is being transmitted through the outer spring only. Force Transmitted by Outer Spring is denoted by P₁ symbol.

How to calculate Axial Force transmitted by Outer Spring using this online calculator? To use this online calculator for Axial Force transmitted by Outer Spring, enter Force Transmitted by Inner Spring (P₂), Wire Diameter of Outer Spring (d₁) & Wire Diameter of Inner Spring (d₂) and hit the calculate button. Here is how the Axial Force transmitted by Outer Spring calculation can be explained with given input values -> 1075.455 = 770*0.0065^2/0.0055^2.

FAQ

What is Axial Force transmitted by Outer Spring?

Axial Force transmitted by Outer Spring formula is defined as the amount of force that is being transmitted through the outer spring only and is represented as P₁ = P₂*d₁^2/d₂^2 or Force Transmitted by Outer Spring = Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of Inner Spring^2. 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 & The Wire Diameter of Inner Spring is defined as the diameter or the thickness of the inner spring wire.

How to calculate Axial Force transmitted by Outer Spring?

Axial Force transmitted by Outer Spring formula is defined as the amount of force that is being transmitted through the outer spring only is calculated using Force Transmitted by Outer Spring = Force Transmitted by Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of Inner Spring^2. To calculate Axial Force transmitted by Outer Spring, you need Force Transmitted by Inner Spring (P₂), Wire Diameter of Outer Spring (d₁) & Wire Diameter of Inner Spring (d₂). With our tool, you need to enter the respective value for Force Transmitted by Inner Spring, 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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