Number of Plates given Proof Load in Quarter Elliptical Spring Calculator

✖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 in Spring [L]			+10% -10%
✖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%
✖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%

✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates given Proof Load in Quarter Elliptical Spring [n]

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Number of Plates given Proof Load in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
n = (6*W_{O (Elliptical Spring)}*L^3)/(E*b*t^3*δ)
This formula uses 7 Variables

Variables Used

Number of Plates - Number of Plates is the count of plates in the leaf spring.
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.
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.
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)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
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

n = (6*W_{O (Elliptical Spring)}*L^3)/(E*b*t^3*δ) --> (6*37000*4.17^3)/(20000000000*0.3*0.46^3*0.0034)

Evaluating ... ...

n = 8.10694967160449

STEP 3: Convert Result to Output's Unit

8.10694967160449 --> No Conversion Required

FINAL ANSWER

8.10694967160449 ≈ 8.10695 <-- Number of Plates

(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)

Number of Plates 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 Number of Plates given Proof Load in Quarter Elliptical Spring?

Number of Plates given Proof Load in Quarter Elliptical Spring calculator uses 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) to calculate the Number of Plates, The Number of Plates given Proof Load in Quarter Elliptical Spring formula is defined as the count of the joint of various plates that constitutes spring. Number of Plates is denoted by n symbol.

How to calculate Number of Plates given Proof Load in Quarter Elliptical Spring using this online calculator? To use this online calculator for Number of Plates given Proof Load in Quarter Elliptical Spring, enter Proof Load on Elliptical Spring (W_{O (Elliptical Spring)}), Length in Spring (L), Young's Modulus (E), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button. Here is how the Number of Plates given Proof Load in Quarter Elliptical Spring calculation can be explained with given input values -> 8.10695 = (6*37000*4.17^3)/(20000000000*0.3*0.46^3*0.0034).

FAQ

What is Number of Plates given Proof Load in Quarter Elliptical Spring?

The Number of Plates given Proof Load in Quarter Elliptical Spring formula is defined as the count of the joint of various plates that constitutes spring and is represented as n = (6*W_{O (Elliptical Spring)}*L^3)/(E*b*t^3*δ) or 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). 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, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, 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 Number of Plates given Proof Load in Quarter Elliptical Spring?

The Number of Plates given Proof Load in Quarter Elliptical Spring formula is defined as the count of the joint of various plates that constitutes spring is calculated using 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). To calculate Number of Plates given Proof Load in Quarter Elliptical Spring, you need Proof Load on Elliptical Spring (W_{O (Elliptical Spring)}), Length in Spring (L), Young's Modulus (E), 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, Young's Modulus, 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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