Thickness 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%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+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 given Proof Load in Quarter Elliptical Spring [t]

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Formula

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Thickness given Proof Load in Quarter Elliptical Spring

Formula

`"t" = ((6*"W"_{"O (Elliptical Spring)"}*"L"^3)/("E"*"n"*"δ"*"b"))^(1/3)`

Example

`"462.0408mm"=((6*"37kN"*("4170mm")^3)/("20000MPa"*"8"*"3.4mm"*"300mm"))^(1/3)`

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Thickness given Proof Load in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = ((6*W_{O (Elliptical Spring)}*L^3)/(E*n*δ*b))^(1/3)
This formula uses 7 Variables

Variables Used

Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.

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)
Number of Plates: 8 --> No Conversion Required
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((6*W_{O (Elliptical Spring)}*L^3)/(E*n*δ*b))^(1/3) --> ((6*37000*4.17^3)/(20000000000*8*0.0034*0.3))^(1/3)

Evaluating ... ...

t = 0.462040801251556

STEP 3: Convert Result to Output's Unit

0.462040801251556 Meter -->462.040801251556 Millimeter (Check conversion here)

FINAL ANSWER

462.040801251556 ≈ 462.0408 Millimeter <-- Thickness of Section

(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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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 7 Quarter Elliptical Springs Calculators

Thickness given Proof Load in Quarter Elliptical Spring

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)

Length given Proof Load in Quarter Elliptical Spring

Go 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)

Modulus of Elasticity given Proof Load in Quarter Elliptical Spring

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)

Number of Plates given Proof Load in Quarter Elliptical Spring

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)

Deflection given Proof Load in Quarter Elliptical Spring

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

Width given Proof Load in Quarter Elliptical Spring

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

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)

Thickness given Proof Load in Quarter Elliptical Spring Formula

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 Thickness given Proof Load in Quarter Elliptical Spring?

Thickness given Proof Load in Quarter Elliptical Spring calculator uses 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) to calculate the Thickness of Section, The Thickness given Proof Load in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly. Thickness of Section is denoted by t symbol.

How to calculate Thickness given Proof Load in Quarter Elliptical Spring using this online calculator? To use this online calculator for Thickness 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), Number of Plates (n), Deflection of Spring (δ) & Width of Cross Section (b) and hit the calculate button. Here is how the Thickness given Proof Load in Quarter Elliptical Spring calculation can be explained with given input values -> 462040.8 = ((6*37000*4.17^3)/(20000000000*8*0.0034*0.3))^(1/3).

FAQ

What is Thickness given Proof Load in Quarter Elliptical Spring?

The Thickness given Proof Load in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly and is represented as t = ((6*W_{O (Elliptical Spring)}*L^3)/(E*n*δ*b))^(1/3) or 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). 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, Number of Plates is the count of plates in the leaf spring, Deflection of Spring is how a spring responds when force is applied or released & Width of Cross Section is the geometric measurement or extent of the member from side to side.

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

The Thickness given Proof Load in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly is calculated using 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). To calculate Thickness 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), Number of Plates (n), Deflection of Spring (δ) & Width of Cross Section (b). With our tool, you need to enter the respective value for Proof Load on Elliptical Spring, Length in Spring, Young's Modulus, Number of Plates, Deflection of Spring & Width of Cross Section 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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