Deflection 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%
✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness of Section [t]			+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%

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection given Proof Load in Quarter Elliptical Spring [δ]

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Deflection given Proof Load in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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
Thickness of Section: 460 Millimeter --> 0.46 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

δ = (6*W_{O (Elliptical Spring)}*L^3)/(E*n*t^3*b) --> (6*37000*4.17^3)/(20000000000*8*0.46^3*0.3)

Evaluating ... ...

δ = 0.00344545361043191

STEP 3: Convert Result to Output's Unit

0.00344545361043191 Meter -->3.44545361043191 Millimeter (Check conversion here)

FINAL ANSWER

3.44545361043191 ≈ 3.445454 Millimeter <-- Deflection of Spring

(Calculation completed in 00.020 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)

Deflection 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 Deflection given Proof Load in Quarter Elliptical Spring?

Deflection given Proof Load in Quarter Elliptical Spring calculator uses 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) to calculate the Deflection of Spring, The Deflection given Proof Load in Quarter Elliptical Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection given Proof Load in Quarter Elliptical Spring using this online calculator? To use this online calculator for Deflection 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), Thickness of Section (t) & Width of Cross Section (b) and hit the calculate button. Here is how the Deflection given Proof Load in Quarter Elliptical Spring calculation can be explained with given input values -> 3445.454 = (6*37000*4.17^3)/(20000000000*8*0.46^3*0.3).

FAQ

What is Deflection given Proof Load in Quarter Elliptical Spring?

The Deflection given Proof Load in Quarter Elliptical Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded and is represented as δ = (6*W_{O (Elliptical Spring)}*L^3)/(E*n*t^3*b) or 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). 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, Thickness of Section is the dimension through an object, as opposed to length or width & Width of Cross Section is the geometric measurement or extent of the member from side to side.

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

The Deflection given Proof Load in Quarter Elliptical Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded is calculated using 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). To calculate Deflection 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), Thickness of Section (t) & 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, Thickness of Section & 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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