Cross-Sectional Area of Inner Spring given Axial force transmitted Calculator

✖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 [a₁]			+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%
✖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 given Axial force transmitted [a₂]

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Cross-Sectional Area of Inner Spring given Axial force transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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 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.
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

Cross-Sectional Area of Outer Spring: 33.2 Square Millimeter --> 3.32E-05 Square Meter (Check conversion here)
Force Transmitted by Inner Spring: 930.7692 Newton --> 930.7692 Newton No Conversion Required
Force Transmitted by Outer Spring: 1075.455 Newton --> 1075.455 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₂ = a₁*P₂/P₁ --> 3.32E-05*930.7692/1075.455

Evaluating ... ...

a₂ = 2.87334546215323E-05

STEP 3: Convert Result to Output's Unit

2.87334546215323E-05 Square Meter -->28.7334546215323 Square Millimeter (Check conversion here)

FINAL ANSWER

28.7334546215323 ≈ 28.73345 Square Millimeter <-- Cross-Sectional Area of Inner 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 Inner Spring given Axial force transmitted Formula

LaTeX Go

Cross-Sectional Area of Inner Spring = Cross-Sectional Area of Outer Spring*Force Transmitted by Inner Spring/Force Transmitted by Outer Spring
a₂ = a₁*P₂/P₁

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 Inner Spring given Axial force transmitted?

Cross-Sectional Area of Inner Spring given Axial force transmitted calculator uses Cross-Sectional Area of Inner Spring = Cross-Sectional Area of Outer Spring*Force Transmitted by Inner Spring/Force Transmitted by Outer Spring to calculate the Cross-Sectional Area of Inner Spring, Cross-Sectional Area of Inner Spring given Axial force transmitted formula is defined as a measure of the inner spring's cross-sectional area in response to the axial force transmitted, providing insight into the spring's structural integrity and load-carrying capacity in helical spring applications. Cross-Sectional Area of Inner Spring is denoted by a₂ symbol.

How to calculate Cross-Sectional Area of Inner Spring given Axial force transmitted using this online calculator? To use this online calculator for Cross-Sectional Area of Inner Spring given Axial force transmitted, enter Cross-Sectional Area of Outer Spring (a₁), Force Transmitted by Inner Spring (P₂) & Force Transmitted by Outer Spring (P₁) and hit the calculate button. Here is how the Cross-Sectional Area of Inner Spring given Axial force transmitted calculation can be explained with given input values -> 2.9E+7 = 3.32E-05*930.7692/1075.455.

FAQ

What is Cross-Sectional Area of Inner Spring given Axial force transmitted?

Cross-Sectional Area of Inner Spring given Axial force transmitted formula is defined as a measure of the inner spring's cross-sectional area in response to the axial force transmitted, providing insight into the spring's structural integrity and load-carrying capacity in helical spring applications and is represented as a₂ = a₁*P₂/P₁ or Cross-Sectional Area of Inner Spring = Cross-Sectional Area of Outer Spring*Force Transmitted by Inner Spring/Force Transmitted by Outer Spring. 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 Inner Spring is defined as the axial force transmitted by the innermost spring in the concentric springs & Force Transmitted by Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.

How to calculate Cross-Sectional Area of Inner Spring given Axial force transmitted?

Cross-Sectional Area of Inner Spring given Axial force transmitted formula is defined as a measure of the inner spring's cross-sectional area in response to the axial force transmitted, providing insight into the spring's structural integrity and load-carrying capacity in helical spring applications is calculated using Cross-Sectional Area of Inner Spring = Cross-Sectional Area of Outer Spring*Force Transmitted by Inner Spring/Force Transmitted by Outer Spring. To calculate Cross-Sectional Area of Inner Spring given Axial force transmitted, you need Cross-Sectional Area of Outer Spring (a₁), Force Transmitted by Inner Spring (P₂) & Force Transmitted by Outer Spring (P₁). With our tool, you need to enter the respective value for Cross-Sectional Area of Outer Spring, Force Transmitted by Inner 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 Cross-Sectional Area of Inner Spring?

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

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

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