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Number of Plates given Proof Load on Leaf Spring Formula

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

n = \frac{3 \cdot W O (Leaf Spring) \cdot L^{3}}{8 \cdot E \cdot b \cdot t^{3} \cdot δ}

n - Number of Plates?W_{O (Leaf Spring)} - Proof Load on Leaf 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 on Leaf Spring Example

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Here is how the Number of Plates given Proof Load on Leaf Spring equation looks like with Values.

Here is how the Number of Plates given Proof Load on Leaf Spring equation looks like with Units.

Here is how the Number of Plates given Proof Load on Leaf Spring equation looks like.

8.0111 = \frac{3 \cdot 585 \cdot 4170^{3}}{8 \cdot 20000 \cdot 300 \cdot 460^{3} \cdot 3.4}

8.0111 = \frac{3 \cdot 585kN \cdot {4170mm}^{3}}{8 \cdot 20000MPa \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}

8.0111 = \frac{3 \cdot 585 \cdot 4170^{3}}{8 \cdot 20000 \cdot 300 \cdot 460^{3} \cdot 3.4}

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Number of Plates given Proof Load on Leaf Spring Solution

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

FIRST Step Consider the formula

n = \frac{3 \cdot W O (Leaf Spring) \cdot L^{3}}{8 \cdot E \cdot b \cdot t^{3} \cdot δ}

Next Step Substitute values of Variables

∴

n = \frac{3 \cdot 585kN \cdot {4170mm}^{3}}{8 \cdot 20000MPa \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}

Next Step Convert Units

∴

n = \frac{3 \cdot 585000N \cdot {4.17m}^{3}}{8 \cdot 2E+10Pa \cdot 0.3m \cdot {0.46m}^{3} \cdot 0.0034m}

Next Step Prepare to Evaluate

∴

n = \frac{3 \cdot 585000 \cdot {4.17}^{3}}{8 \cdot 2E+10 \cdot 0.3 \cdot {0.46}^{3} \cdot 0.0034}

Next Step Evaluate

∴

n = 8.01109046940646

LAST Step Rounding Answer

∴

n = 8.0111

Number of Plates given Proof Load on Leaf 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 Leaf Spring

Proof Load on Leaf Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.

Symbol: W_{O (Leaf Spring)}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Proof Load on Leaf 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 Leaf Springs category

Go Proof Load on Leaf Spring

W O (Leaf Spring) = \frac{8 \cdot E \cdot n \cdot b \cdot t^{3} \cdot δ}{3 \cdot L^{3}}

Go Modulus of Elasticity given Proof Load on Leaf Spring

E = \frac{3 \cdot W O (Leaf Spring) \cdot L^{3}}{8 \cdot n \cdot b \cdot t^{3} \cdot δ}

How to Evaluate Number of Plates given Proof Load on Leaf Spring?

Number of Plates given Proof Load on Leaf Spring evaluator uses Number of Plates = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*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 on Leaf Spring formula is defined as count of joint of various plates that constitutes spring. Number of Plates is denoted by n symbol.

How to evaluate Number of Plates given Proof Load on Leaf Spring using this online evaluator? To use this online evaluator for Number of Plates given Proof Load on Leaf Spring, enter Proof Load on Leaf Spring (W_{O (Leaf 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 on Leaf Spring

What is the formula to find Number of Plates given Proof Load on Leaf Spring?

The formula of Number of Plates given Proof Load on Leaf Spring is expressed as Number of Plates = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Width of Cross Section*Thickness of Section^3*Deflection of Spring). Here is an example- 8.01109 = (3*585000*4.17^3)/(8*20000000000*0.3*0.46^3*0.0034).

How to calculate Number of Plates given Proof Load on Leaf Spring?

With Proof Load on Leaf Spring (W_{O (Leaf 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 on Leaf Spring using the formula - Number of Plates = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Width of Cross Section*Thickness of Section^3*Deflection of Spring).

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Number of Plates given Proof Load on Leaf Spring Formula

Number of Plates given Proof Load on Leaf Spring Example

Number of Plates given Proof Load on Leaf Spring Solution

Number of Plates given Proof Load on Leaf Spring Formula Elements

Other formulas in Leaf Springs category

How to Evaluate Number of Plates given Proof Load on Leaf Spring?

FAQs on Number of Plates given Proof Load on Leaf Spring

Variable Name