Length given Proof Load in Quarter Elliptical Spring Calculator

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+10% -10%
✖Width of Cross Section is the geometric measurement or extent of the member from side to side.ⓘ Width of Cross Section [b]			+10% -10%
✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness of Section [t]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Proof Load on Elliptical Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.ⓘ Proof Load on Elliptical Spring [W_{O (Elliptical Spring)}]			+10% -10%

✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length given Proof Load in Quarter Elliptical Spring [L]

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Length given Proof Load in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length in Spring = ((Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(6*Proof Load on Elliptical Spring))^(1/3)
L = ((E*n*b*t^3*δ)/(6*W_{O (Elliptical Spring)}))^(1/3)
This formula uses 7 Variables

Variables Used

Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Proof Load on Elliptical Spring - (Measured in Newton) - Proof Load on Elliptical Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Number of Plates: 8 --> No Conversion Required
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Thickness of Section: 460 Millimeter --> 0.46 Meter (Check conversion here)
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Proof Load on Elliptical Spring: 37 Kilonewton --> 37000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = ((E*n*b*t^3*δ)/(6*W_{O (Elliptical Spring)}))^(1/3) --> ((20000000000*8*0.3*0.46^3*0.0034)/(6*37000))^(1/3)

Evaluating ... ...

L = 4.15158140753817

STEP 3: Convert Result to Output's Unit

4.15158140753817 Meter -->4151.58140753817 Millimeter (Check conversion here)

FINAL ANSWER

4151.58140753817 ≈ 4151.581 Millimeter <-- Length in Spring

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Quarter Elliptical Springs Calculators

Thickness given Proof Load in Quarter Elliptical Spring

LaTeX Go Thickness of Section = ((6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Number of Plates*Deflection of Spring*Width of Cross Section))^(1/3)

Number of Plates given Proof Load in Quarter Elliptical Spring

LaTeX Go Number of Plates = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Width of Cross Section*Thickness of Section^3*Deflection of Spring)

Width given Proof Load in Quarter Elliptical Spring

LaTeX Go Width of Cross Section = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Number of Plates*Thickness of Section^3*Deflection of Spring)

Proof Load in Quarter Elliptical Spring

LaTeX Go Proof Load on Elliptical Spring = (Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(6*Length in Spring^3)

Length given Proof Load in Quarter Elliptical Spring Formula

LaTeX Go

What is Quarter Elliptical Spring?

This is an older type of spring with a similar structure to that of a normal leaf spring, only different being that it is half.

How to Calculate Length given Proof Load in Quarter Elliptical Spring?

Length given Proof Load in Quarter Elliptical Spring calculator uses Length in Spring = ((Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(6*Proof Load on Elliptical Spring))^(1/3) to calculate the Length in Spring, The Length given Proof Load in Quarter Elliptical Spring formula is defined as end-to-end distance of the spring. Length in Spring is denoted by L symbol.

How to calculate Length given Proof Load in Quarter Elliptical Spring using this online calculator? To use this online calculator for Length given Proof Load in Quarter Elliptical Spring, enter Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t), Deflection of Spring (δ) & Proof Load on Elliptical Spring (W_{O (Elliptical Spring)}) and hit the calculate button. Here is how the Length given Proof Load in Quarter Elliptical Spring calculation can be explained with given input values -> 4.2E+6 = ((20000000000*8*0.3*0.46^3*0.0034)/(6*37000))^(1/3).

FAQ

What is Length given Proof Load in Quarter Elliptical Spring?

The Length given Proof Load in Quarter Elliptical Spring formula is defined as end-to-end distance of the spring and is represented as L = ((E*n*b*t^3*δ)/(6*W_{O (Elliptical Spring)}))^(1/3) or Length in Spring = ((Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(6*Proof Load on Elliptical Spring))^(1/3). Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Number of Plates is the count of plates in the leaf spring, Width of Cross Section is the geometric measurement or extent of the member from side to side, Thickness of Section is the dimension through an object, as opposed to length or width, Deflection of Spring is how a spring responds when force is applied or released & Proof Load on Elliptical Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.

How to calculate Length given Proof Load in Quarter Elliptical Spring?

The Length given Proof Load in Quarter Elliptical Spring formula is defined as end-to-end distance of the spring is calculated using Length in Spring = ((Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(6*Proof Load on Elliptical Spring))^(1/3). To calculate Length given Proof Load in Quarter Elliptical Spring, you need Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t), Deflection of Spring (δ) & Proof Load on Elliptical Spring (W_{O (Elliptical Spring)}). With our tool, you need to enter the respective value for Young's Modulus, Number of Plates, Width of Cross Section, Thickness of Section, Deflection of Spring & Proof Load on Elliptical 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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