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Length given Proof Load on Leaf Spring Formula

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

L = {(\frac{8 \cdot E \cdot n \cdot b \cdot t^{3} \cdot δ}{3 \cdot W O (Leaf Spring)})}^{\frac{1}{3}}

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

Length given Proof Load on Leaf Spring Example

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

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

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

4168.0748 = {(\frac{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{3 \cdot 585})}^{\frac{1}{3}}

4168.0748mm = {(\frac{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{3 \cdot 585kN})}^{\frac{1}{3}}

4168.0748 = {(\frac{8 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{3 \cdot 585})}^{\frac{1}{3}}

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Length given Proof Load on Leaf Spring Solution

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

FIRST Step Consider the formula

L = {(\frac{8 \cdot E \cdot n \cdot b \cdot t^{3} \cdot δ}{3 \cdot W O (Leaf Spring)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L = {(\frac{8 \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{3 \cdot 585kN})}^{\frac{1}{3}}

Next Step Convert Units

∴

L = {(\frac{8 \cdot 2E+10Pa \cdot 8 \cdot 0.3m \cdot {0.46m}^{3} \cdot 0.0034m}{3 \cdot 585000N})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L = {(\frac{8 \cdot 2E+10 \cdot 8 \cdot 0.3 \cdot {0.46}^{3} \cdot 0.0034}{3 \cdot 585000})}^{\frac{1}{3}}

Next Step Evaluate

∴

L = 4.16807480993854m

Next Step Convert to Output's Unit

∴

L = 4168.07480993854mm

LAST Step Rounding Answer

∴

L = 4168.0748mm

Length given Proof Load on Leaf Spring Formula Elements

Variables

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

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

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

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 Length given Proof Load on Leaf Spring?

Length given Proof Load on Leaf Spring evaluator uses Length in Spring = ((8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Proof Load on Leaf Spring))^(1/3) to evaluate the Length in Spring, The Length given Proof Load on Leaf Spring formula is defined as end-to-end distance of the spring. Length in Spring is denoted by L symbol.

How to evaluate Length given Proof Load on Leaf Spring using this online evaluator? To use this online evaluator for Length given 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) & Proof Load on Leaf Spring (W_{O (Leaf Spring)}) and hit the calculate button.

FAQs on Length given Proof Load on Leaf Spring

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

The formula of Length given Proof Load on Leaf Spring is expressed as Length in Spring = ((8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Proof Load on Leaf Spring))^(1/3). Here is an example- 4.2E+6 = ((8*20000000000*8*0.3*0.46^3*0.0034)/(3*585000))^(1/3).

How to calculate Length given 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) & Proof Load on Leaf Spring (W_{O (Leaf Spring)}) we can find Length given Proof Load on Leaf Spring using the formula - Length in Spring = ((8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Proof Load on Leaf Spring))^(1/3).

Can the Length given Proof Load on Leaf Spring be negative?

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

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

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

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Length given Proof Load on Leaf Spring Formula

Length given Proof Load on Leaf Spring Example

Length given Proof Load on Leaf Spring Solution

Length given Proof Load on Leaf Spring Formula Elements

Other formulas in Leaf Springs category

How to Evaluate Length given Proof Load on Leaf Spring?

FAQs on Length given Proof Load on Leaf Spring

Variable Name