Cross-sectional Area of Outer Spring given Axial force transmitted 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%
✖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 [a₂]			+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%

✖Cross-Sectional Area of Outer Spring is defined as the area of the cross-section of the wire by which the outer spring is made.ⓘ Cross-sectional Area of Outer Spring given Axial force transmitted [a₁]

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Cross-sectional Area of Outer Spring given Axial force transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/Force Transmitted by Inner Spring
a₁ = P₁*a₂/P₂
This formula uses 4 Variables

Variables Used

Cross-Sectional Area of Outer Spring - (Measured in Square Meter) - Cross-Sectional Area of Outer Spring is defined as the area of the cross-section of the wire by which the outer spring is made.
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.
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.
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: 1075.455 Newton --> 1075.455 Newton No Conversion Required
Cross-Sectional Area of Inner Spring: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
Force Transmitted by Inner Spring: 930.7692 Newton --> 930.7692 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₁ = P₁*a₂/P₂ --> 1075.455*2E-05/930.7692

Evaluating ... ...

a₁ = 2.31089511771554E-05

STEP 3: Convert Result to Output's Unit

2.31089511771554E-05 Square Meter -->23.1089511771554 Square Millimeter (Check conversion here)

FINAL ANSWER

23.1089511771554 ≈ 23.10895 Square Millimeter <-- Cross-Sectional Area of Outer Spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Concentric Springs Calculators

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

LaTeX 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

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

Axial Force transmitted by Inner Spring

LaTeX 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

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

Cross-sectional Area of Outer Spring given Axial force transmitted Formula

LaTeX Go

Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/Force Transmitted by Inner Spring
a₁ = P₁*a₂/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 Cross-sectional Area of Outer Spring given Axial force transmitted?

Cross-sectional Area of Outer Spring given Axial force transmitted calculator uses Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/Force Transmitted by Inner Spring to calculate the Cross-Sectional Area of Outer Spring, Cross-sectional Area of Outer Spring given Axial force transmitted formula is defined as a measure of the outer spring's cross-sectional area in a helical spring system, which is crucial in determining the spring's ability to withstand axial forces and maintain its structural integrity. Cross-Sectional Area of Outer Spring is denoted by a₁ symbol.

How to calculate Cross-sectional Area of Outer Spring given Axial force transmitted using this online calculator? To use this online calculator for Cross-sectional Area of Outer Spring given Axial force transmitted, enter Force Transmitted by Outer Spring (P₁), Cross-Sectional Area of Inner Spring (a₂) & Force Transmitted by Inner Spring (P₂) and hit the calculate button. Here is how the Cross-sectional Area of Outer Spring given Axial force transmitted calculation can be explained with given input values -> 2.3E+7 = 1075.455*2.01E-05/930.7692.

FAQ

What is Cross-sectional Area of Outer Spring given Axial force transmitted?

Cross-sectional Area of Outer Spring given Axial force transmitted formula is defined as a measure of the outer spring's cross-sectional area in a helical spring system, which is crucial in determining the spring's ability to withstand axial forces and maintain its structural integrity and is represented as a₁ = P₁*a₂/P₂ or Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/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, 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 & Force Transmitted by Inner Spring is defined as the axial force transmitted by the innermost spring in the concentric springs.

How to calculate Cross-sectional Area of Outer Spring given Axial force transmitted?

Cross-sectional Area of Outer Spring given Axial force transmitted formula is defined as a measure of the outer spring's cross-sectional area in a helical spring system, which is crucial in determining the spring's ability to withstand axial forces and maintain its structural integrity is calculated using Cross-Sectional Area of Outer Spring = Force Transmitted by Outer Spring*Cross-Sectional Area of Inner Spring/Force Transmitted by Inner Spring. To calculate Cross-sectional Area of Outer Spring given Axial force transmitted, you need Force Transmitted by Outer Spring (P₁), Cross-Sectional Area of Inner Spring (a₂) & Force Transmitted by Inner Spring (P₂). With our tool, you need to enter the respective value for Force Transmitted by Outer Spring, Cross-Sectional Area 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 Cross-Sectional Area of Outer Spring?

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

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

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