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Width given Proof Load in Quarter Elliptical Spring Formula

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

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

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

Width given Proof Load in Quarter Elliptical Spring Example

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

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

Here is how the Width given Proof Load in Quarter Elliptical Spring equation looks like.

304.0106 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 8 \cdot 460^{3} \cdot 3.4}

304.0106mm = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 8 \cdot {460mm}^{3} \cdot 3.4mm}

304.0106 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 8 \cdot 460^{3} \cdot 3.4}

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Width given Proof Load in Quarter Elliptical Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 8 \cdot {460mm}^{3} \cdot 3.4mm}

Next Step Convert Units

∴

b = \frac{6 \cdot 37000N \cdot {4.17m}^{3}}{2E+10Pa \cdot 8 \cdot {0.46m}^{3} \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

b = \frac{6 \cdot 37000 \cdot {4.17}^{3}}{2E+10 \cdot 8 \cdot {0.46}^{3} \cdot 0.0034}

Next Step Evaluate

∴

b = 0.304010612685168m

Next Step Convert to Output's Unit

∴

b = 304.010612685168mm

LAST Step Rounding Answer

∴

b = 304.0106mm

Width given Proof Load in Quarter Elliptical Spring Formula Elements

Variables

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

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

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

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 Number of Plates given Proof Load in Quarter Elliptical Spring

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

How to Evaluate Width given Proof Load in Quarter Elliptical Spring?

Width given Proof Load in Quarter Elliptical Spring evaluator uses 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) to evaluate the Width of Cross Section, The Width given Proof Load in Quarter Elliptical Spring formula is defined as the width of the cross-section of any plate of the spring assembly. Width of Cross Section is denoted by b symbol.

How to evaluate Width given Proof Load in Quarter Elliptical Spring using this online evaluator? To use this online evaluator for Width 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) & Deflection of Spring (δ) and hit the calculate button.

FAQs on Width given Proof Load in Quarter Elliptical Spring

What is the formula to find Width given Proof Load in Quarter Elliptical Spring?

The formula of Width given Proof Load in Quarter Elliptical Spring is expressed as 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). Here is an example- 304010.6 = (6*37000*4.17^3)/(20000000000*8*0.46^3*0.0034).

How to calculate Width 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), Number of Plates (n), Thickness of Section (t) & Deflection of Spring (δ) we can find Width given Proof Load in Quarter Elliptical Spring using the formula - 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).

Can the Width given Proof Load in Quarter Elliptical Spring be negative?

No, the Width given Proof Load in Quarter Elliptical Spring, measured in Length cannot be negative.

Which unit is used to measure Width given Proof Load in Quarter Elliptical Spring?

Width given Proof Load in Quarter Elliptical Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width given Proof Load in Quarter Elliptical Spring can be measured.

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Width given Proof Load in Quarter Elliptical Spring Formula

Width given Proof Load in Quarter Elliptical Spring Example

Width given Proof Load in Quarter Elliptical Spring Solution

Width given Proof Load in Quarter Elliptical Spring Formula Elements

Other formulas in Quarter Elliptical Springs category

How to Evaluate Width given Proof Load in Quarter Elliptical Spring?

FAQs on Width given Proof Load in Quarter Elliptical Spring

Variable Name