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Length given Proof Load in Quarter Elliptical Spring Formula

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

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

Length given Proof Load in Quarter Elliptical Spring Example

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

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

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

4151.5814 = {(\frac{20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{6 \cdot 37})}^{\frac{1}{3}}

4151.5814mm = {(\frac{20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{6 \cdot 37kN})}^{\frac{1}{3}}

4151.5814 = {(\frac{20000 \cdot 8 \cdot 300 \cdot 460^{3} \cdot 3.4}{6 \cdot 37})}^{\frac{1}{3}}

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Length given Proof Load in Quarter Elliptical Spring Solution

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

FIRST Step Consider the formula

L = {(\frac{E \cdot n \cdot b \cdot t^{3} \cdot δ}{6 \cdot W O (Elliptical Spring)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L = {(\frac{20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3} \cdot 3.4mm}{6 \cdot 37kN})}^{\frac{1}{3}}

Next Step Convert Units

∴

L = {(\frac{2E+10Pa \cdot 8 \cdot 0.3m \cdot {0.46m}^{3} \cdot 0.0034m}{6 \cdot 37000N})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L = {(\frac{2E+10 \cdot 8 \cdot 0.3 \cdot {0.46}^{3} \cdot 0.0034}{6 \cdot 37000})}^{\frac{1}{3}}

Next Step Evaluate

∴

L = 4.15158140753817m

Next Step Convert to Output's Unit

∴

L = 4151.58140753817mm

LAST Step Rounding Answer

∴

L = 4151.5814mm

Length given Proof Load in Quarter Elliptical 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