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Length of Cantilever given Initial Nip of Leaf Spring Formula

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The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring. Check FAQs

L = {(C \cdot \frac{E \cdot n \cdot b \cdot t^{3}}{2 \cdot P})}^{\frac{1}{3}}

L - Length of Cantilever of Leaf Spring?C - Nip in Leaf Spring?E - Modulus of Elasticity of Spring?n - Total Number of Leaves?b - Width of Leaf?t - Thickness of Leaf?P - Force Applied at End of Leaf Spring?

Length of Cantilever given Initial Nip of Leaf Spring Example

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Here is how the Length of Cantilever given Initial Nip of Leaf Spring equation looks like with Values.

Here is how the Length of Cantilever given Initial Nip of Leaf Spring equation looks like with Units.

Here is how the Length of Cantilever given Initial Nip of Leaf Spring equation looks like.

500.2199 = {(13.5 \cdot \frac{207000 \cdot 18 \cdot 108 \cdot 12^{3}}{2 \cdot 37500})}^{\frac{1}{3}}

500.2199mm = {(13.5mm \cdot \frac{207000N/mm² \cdot 18 \cdot 108mm \cdot {12mm}^{3}}{2 \cdot 37500N})}^{\frac{1}{3}}

500.2199 = {(13.5 \cdot \frac{207000 \cdot 18 \cdot 108 \cdot 12^{3}}{2 \cdot 37500})}^{\frac{1}{3}}

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Length of Cantilever given Initial Nip of Leaf Spring Solution

Follow our step by step solution on how to calculate Length of Cantilever given Initial Nip of Leaf Spring?

FIRST Step Consider the formula

L = {(C \cdot \frac{E \cdot n \cdot b \cdot t^{3}}{2 \cdot P})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L = {(13.5mm \cdot \frac{207000N/mm² \cdot 18 \cdot 108mm \cdot {12mm}^{3}}{2 \cdot 37500N})}^{\frac{1}{3}}

Next Step Convert Units

∴

L = {(0.0135m \cdot \frac{2.1E+11Pa \cdot 18 \cdot 0.108m \cdot {0.012m}^{3}}{2 \cdot 37500N})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L = {(0.0135 \cdot \frac{2.1E+11 \cdot 18 \cdot 0.108 \cdot {0.012}^{3}}{2 \cdot 37500})}^{\frac{1}{3}}

Next Step Evaluate

∴

L = 0.500219882382634m

Next Step Convert to Output's Unit

∴

L = 500.219882382634mm

LAST Step Rounding Answer

∴

L = 500.2199mm

Length of Cantilever given Initial Nip of Leaf Spring Formula Elements

Variables

Length of Cantilever of Leaf Spring

The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Cantilever of Leaf Spring

Nip in Leaf Spring

Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nip in Leaf Spring

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

Total Number of Leaves

Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Number of Leaves

Width of Leaf

Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Leaf

Thickness of Leaf

Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Leaf

Force Applied at End of Leaf Spring

Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Applied at End of Leaf Spring

Other formulas in Nipping of Leaf Spring category

Go Initial Nip in Leaf Spring

C = 2 \cdot P \cdot \frac{L^{3}}{E \cdot n \cdot b \cdot t^{3}}

Go Force Applied at End of Spring

P = C \cdot \frac{E \cdot n \cdot b \cdot (t^{3})}{2 \cdot (L^{3})}

How to Evaluate Length of Cantilever given Initial Nip of Leaf Spring?

Length of Cantilever given Initial Nip of Leaf Spring evaluator uses Length of Cantilever of Leaf Spring = (Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)/(2*Force Applied at End of Leaf Spring))^(1/3) to evaluate the Length of Cantilever of Leaf Spring, Length of Cantilever given Initial Nip of Leaf Spring is defined as a rigid structural element that extends horizontally and is supported at only one end. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to evaluate Length of Cantilever given Initial Nip of Leaf Spring using this online evaluator? To use this online evaluator for Length of Cantilever given Initial Nip of Leaf Spring, enter Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P) and hit the calculate button.

FAQs on Length of Cantilever given Initial Nip of Leaf Spring

What is the formula to find Length of Cantilever given Initial Nip of Leaf Spring?

The formula of Length of Cantilever given Initial Nip of Leaf Spring is expressed as Length of Cantilever of Leaf Spring = (Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)/(2*Force Applied at End of Leaf Spring))^(1/3). Here is an example- 500219.9 = (0.0135*(207000000000*18*0.108*0.012^3)/(2*37500))^(1/3).

How to calculate Length of Cantilever given Initial Nip of Leaf Spring?

With Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P) we can find Length of Cantilever given Initial Nip of Leaf Spring using the formula - Length of Cantilever of Leaf Spring = (Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)/(2*Force Applied at End of Leaf Spring))^(1/3).

Can the Length of Cantilever given Initial Nip of Leaf Spring be negative?

No, the Length of Cantilever given Initial Nip of Leaf Spring, measured in Length cannot be negative.

Which unit is used to measure Length of Cantilever given Initial Nip of Leaf Spring?

Length of Cantilever given Initial Nip of 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 of Cantilever given Initial Nip of Leaf Spring can be measured.

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Length of Cantilever given Initial Nip of Leaf Spring Formula

Length of Cantilever given Initial Nip of Leaf Spring Example

Length of Cantilever given Initial Nip of Leaf Spring Solution

Length of Cantilever given Initial Nip of Leaf Spring Formula Elements

Other formulas in Nipping of Leaf Spring category

How to Evaluate Length of Cantilever given Initial Nip of Leaf Spring?

FAQs on Length of Cantilever given Initial Nip of Leaf Spring

Variable Name