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Proof Load on Leaf Spring Formula

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

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

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

Proof Load on Leaf Spring Example

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Here is how the Proof Load on Leaf Spring equation looks like with Values.

Here is how the Proof Load on Leaf Spring equation looks like with Units.

Here is how the Proof Load on Leaf Spring equation looks like.

584.1901 = \frac{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{3 \cdot 4170^{3}}

584.1901kN = \frac{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{3 \cdot {4170mm}^{3}}

584.1901 = \frac{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{3 \cdot 4170^{3}}

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Proof Load on Leaf Spring Solution

Follow our step by step solution on how to calculate Proof Load on Leaf Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W O (Leaf Spring) = \frac{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{3 \cdot {4170mm}^{3}}

Next Step Convert Units

∴

W O (Leaf Spring) = \frac{8 \cdot 2E+10Pa \cdot 8 \cdot 0.3m \cdot {0.46m}^{3} \cdot 0.0034m}{3 \cdot {4.17m}^{3}}

Next Step Prepare to Evaluate

∴

W O (Leaf Spring) = \frac{8 \cdot 2E+10 \cdot 8 \cdot 0.3 \cdot {0.46}^{3} \cdot 0.0034}{3 \cdot {4.17}^{3}}

Next Step Evaluate

∴

W O (Leaf Spring) = 584190.132151477N

Next Step Convert to Output's Unit

∴

W O (Leaf Spring) = 584.190132151477kN

LAST Step Rounding Answer

∴

W O (Leaf Spring) = 584.1901kN

Proof Load on Leaf Spring Formula Elements

Variables

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

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

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

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

Other formulas in Leaf Springs category

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}

Go Number of Plates given Proof Load on Leaf Spring

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

How to Evaluate Proof Load on Leaf Spring?

Proof Load on Leaf Spring evaluator uses Proof Load on Leaf Spring = (8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Length in Spring^3) to evaluate the Proof Load on Leaf Spring, The Proof Load on Leaf Spring formula is defined as the maximum tensile force that can be applied to a bolt that will not result in plastic deformation. Proof Load on Leaf Spring is denoted by W_{O (Leaf Spring)} symbol.

How to evaluate Proof Load on Leaf Spring using this online evaluator? To use this online evaluator for Proof Load on Leaf Spring, enter Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t), Deflection of Spring (δ) & Length in Spring (L) and hit the calculate button.

FAQs on Proof Load on Leaf Spring

What is the formula to find Proof Load on Leaf Spring?

The formula of Proof Load on Leaf Spring is expressed as Proof Load on Leaf Spring = (8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Length in Spring^3). Here is an example- 0.58419 = (8*20000000000*8*0.3*0.46^3*0.0034)/(3*4.17^3).

How to calculate Proof Load on Leaf Spring?

With Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t), Deflection of Spring (δ) & Length in Spring (L) we can find Proof Load on Leaf Spring using the formula - Proof Load on Leaf Spring = (8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Length in Spring^3).

Can the Proof Load on Leaf Spring be negative?

Yes, the Proof Load on Leaf Spring, measured in Force can be negative.

Which unit is used to measure Proof Load on Leaf Spring?

Proof Load on Leaf Spring is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Proof Load on Leaf Spring can be measured.

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Proof Load on Leaf Spring Formula

Proof Load on Leaf Spring Example

Proof Load on Leaf Spring Solution

Proof Load on Leaf Spring Formula Elements

Other formulas in Leaf Springs category

How to Evaluate Proof Load on Leaf Spring?

FAQs on Proof Load on Leaf Spring

Variable Name