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Number of Plates given Proof Load in Quarter Elliptical Spring Formula

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Number of Plates is the count of plates in the leaf spring. Check FAQs

n = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot b \cdot t^{3} \cdot δ}

n - Number of Plates?W_{O (Elliptical Spring)} - Proof Load on Elliptical Spring?L - Length in Spring?E - Young's Modulus?b - Width of Cross Section?t - Thickness of Section?δ - Deflection of Spring?

Number of Plates given Proof Load in Quarter Elliptical Spring Example

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Here is how the Number of Plates given Proof Load in Quarter Elliptical Spring equation looks like with Values.

Here is how the Number of Plates given Proof Load in Quarter Elliptical Spring equation looks like with Units.

Here is how the Number of Plates given Proof Load in Quarter Elliptical Spring equation looks like.

8.1069 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 300 \cdot 460^{3} \cdot 3.4}

8.1069 = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}

8.1069 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 300 \cdot 460^{3} \cdot 3.4}

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Number of Plates given Proof Load in Quarter Elliptical Spring Solution

Follow our step by step solution on how to calculate Number of Plates given Proof Load in Quarter Elliptical Spring?

FIRST Step Consider the formula

n = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot b \cdot t^{3} \cdot δ}

Next Step Substitute values of Variables

∴

n = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}

Next Step Convert Units

∴

n = \frac{6 \cdot 37000N \cdot {4.17m}^{3}}{2E+10Pa \cdot 0.3m \cdot {0.46m}^{3} \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

n = \frac{6 \cdot 37000 \cdot {4.17}^{3}}{2E+10 \cdot 0.3 \cdot {0.46}^{3} \cdot 0.0034}

Next Step Evaluate

∴

n = 8.10694967160449

LAST Step Rounding Answer

∴

n = 8.1069

Number of Plates given Proof Load in Quarter Elliptical Spring Formula Elements

Variables

Number of Plates

Number of Plates is the count of plates in the leaf spring.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Plates

Proof Load on Elliptical 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.

Symbol: W_{O (Elliptical Spring)}

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Proof Load on Elliptical Spring

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

Thickness of Section

Thickness of Section is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Section

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Other formulas in Quarter Elliptical Springs category

Go Proof Load in Quarter Elliptical Spring

W O (Elliptical Spring) = \frac{E \cdot n \cdot b \cdot t^{3} \cdot δ}{6 \cdot L^{3}}

Go Width given Proof Load in Quarter Elliptical Spring

b = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot n \cdot t^{3} \cdot δ}

How to Evaluate Number of Plates given Proof Load in Quarter Elliptical Spring?

Number of Plates given Proof Load in Quarter Elliptical Spring evaluator 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 evaluate 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 evaluate Number of Plates given Proof Load in Quarter Elliptical Spring using this online evaluator? To use this online evaluator 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.

FAQs on Number of Plates given Proof Load in Quarter Elliptical Spring

What is the formula to find Number of Plates given Proof Load in Quarter Elliptical Spring?

The formula of Number of Plates given Proof Load in Quarter Elliptical Spring is expressed as 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). Here is an example- 8.10695 = (6*37000*4.17^3)/(20000000000*0.3*0.46^3*0.0034).

How to calculate Number of Plates given Proof Load in Quarter Elliptical Spring?

With 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) we can find Number of Plates given Proof Load in Quarter Elliptical Spring using the formula - 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).

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Number of Plates given Proof Load in Quarter Elliptical Spring Formula

Number of Plates given Proof Load in Quarter Elliptical Spring Example

Number of Plates given Proof Load in Quarter Elliptical Spring Solution

Number of Plates given Proof Load in Quarter Elliptical Spring Formula Elements

Other formulas in Quarter Elliptical Springs category

How to Evaluate Number of Plates given Proof Load in Quarter Elliptical Spring?

FAQs on Number of Plates given Proof Load in Quarter Elliptical Spring

Variable Name