Modulus of Elasticity given Proof Load in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)
E = (6*WO (Elliptical Spring)*L^3)/(n*b*t^3*δ)
This formula uses 7 Variables
Variables Used
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.
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.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
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.
STEP 1: Convert Input(s) to Base Unit
Proof Load on Elliptical Spring: 37 Kilonewton --> 37000 Newton (Check conversion ​here)
Length in Spring: 4170 Millimeter --> 4.17 Meter (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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (6*WO (Elliptical Spring)*L^3)/(n*b*t^3*δ) --> (6*37000*4.17^3)/(8*0.3*0.46^3*0.0034)
Evaluating ... ...
E = 20267374179.0112
STEP 3: Convert Result to Output's Unit
20267374179.0112 Pascal -->20267.3741790112 Megapascal (Check conversion ​here)
FINAL ANSWER
20267.3741790112 20267.37 Megapascal <-- Young's Modulus
(Calculation completed in 00.004 seconds)

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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)

Modulus of Elasticity given Proof Load in Quarter Elliptical Spring Formula

​LaTeX ​Go
Young's Modulus = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)
E = (6*WO (Elliptical Spring)*L^3)/(n*b*t^3*δ)

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 Modulus of Elasticity given Proof Load in Quarter Elliptical Spring?

Modulus of Elasticity given Proof Load in Quarter Elliptical Spring calculator uses Young's Modulus = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring) to calculate the Young's Modulus, The Modulus of Elasticity given Proof Load in Quarter Elliptical Spring formula is defined as the measure of object's or substance's resistance to being deformed elastically when stress is applied. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity given Proof Load in Quarter Elliptical Spring using this online calculator? To use this online calculator for Modulus of Elasticity given Proof Load in Quarter Elliptical Spring, enter Proof Load on Elliptical Spring (WO (Elliptical Spring)), Length in Spring (L), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button. Here is how the Modulus of Elasticity given Proof Load in Quarter Elliptical Spring calculation can be explained with given input values -> 0.020267 = (6*37000*4.17^3)/(8*0.3*0.46^3*0.0034).

FAQ

What is Modulus of Elasticity given Proof Load in Quarter Elliptical Spring?
The Modulus of Elasticity given Proof Load in Quarter Elliptical Spring formula is defined as the measure of object's or substance's resistance to being deformed elastically when stress is applied and is represented as E = (6*WO (Elliptical Spring)*L^3)/(n*b*t^3*δ) or Young's Modulus = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring). Proof Load on Elliptical Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation, Length in Spring is the measurement or extent of something from end to end, 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.
How to calculate Modulus of Elasticity given Proof Load in Quarter Elliptical Spring?
The Modulus of Elasticity given Proof Load in Quarter Elliptical Spring formula is defined as the measure of object's or substance's resistance to being deformed elastically when stress is applied is calculated using Young's Modulus = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring). To calculate Modulus of Elasticity given Proof Load in Quarter Elliptical Spring, you need Proof Load on Elliptical Spring (WO (Elliptical Spring)), Length in Spring (L), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Proof Load on Elliptical Spring, Length in Spring, Number of Plates, Width of Cross Section, Thickness of Section & Deflection of 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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