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Width of Each Leaf given Initial Nip of Leaf Spring Formula

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

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

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

Width of Each Leaf given Initial Nip of Leaf Spring Example

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

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

Here is how the Width of Each Leaf given Initial Nip of Leaf Spring equation looks like.

107.8576 = 2 \cdot 37500 \cdot \frac{500^{3}}{207000 \cdot 18 \cdot 13.5 \cdot 12^{3}}

107.8576mm = 2 \cdot 37500N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 18 \cdot 13.5mm \cdot {12mm}^{3}}

107.8576 = 2 \cdot 37500 \cdot \frac{500^{3}}{207000 \cdot 18 \cdot 13.5 \cdot 12^{3}}

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Width of Each Leaf given Initial Nip of Leaf Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 2 \cdot 37500N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 18 \cdot 13.5mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

b = 2 \cdot 37500N \cdot \frac{{0.5m}^{3}}{2.1E+11Pa \cdot 18 \cdot 0.0135m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 2 \cdot 37500 \cdot \frac{{0.5}^{3}}{2.1E+11 \cdot 18 \cdot 0.0135 \cdot {0.012}^{3}}

Next Step Evaluate

∴

b = 0.107857641442958m

Next Step Convert to Output's Unit

∴

b = 107.857641442958mm

LAST Step Rounding Answer

∴

b = 107.8576mm

Width of Each Leaf given Initial Nip of Leaf Spring Formula Elements

Variables

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

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

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

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

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

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

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 Width of Each Leaf given Initial Nip of Leaf Spring?

Width of Each Leaf given Initial Nip of Leaf Spring evaluator uses Width of Leaf = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Nip in Leaf Spring*Thickness of Leaf^3) to evaluate the Width of Leaf, The Width of Each Leaf given Initial Nip of Leaf Spring formula is defined as the width of the leaf from one to another end in a multi-leaf spring. Width of Leaf is denoted by b symbol.

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

FAQs on Width of Each Leaf given Initial Nip of Leaf Spring

What is the formula to find Width of Each Leaf given Initial Nip of Leaf Spring?

The formula of Width of Each Leaf given Initial Nip of Leaf Spring is expressed as Width of Leaf = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Nip in Leaf Spring*Thickness of Leaf^3). Here is an example- 107857.6 = 2*37500*0.5^3/(207000000000*18*0.0135*0.012^3).

How to calculate Width of Each Leaf given Initial Nip of Leaf Spring?

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

Can the Width of Each Leaf given Initial Nip of Leaf Spring be negative?

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

Which unit is used to measure Width of Each Leaf given Initial Nip of Leaf Spring?

Width of Each Leaf 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 Width of Each Leaf given Initial Nip of Leaf Spring can be measured.

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Width of Each Leaf given Initial Nip of Leaf Spring Formula

Width of Each Leaf given Initial Nip of Leaf Spring Example

Width of Each Leaf given Initial Nip of Leaf Spring Solution

Width of Each Leaf given Initial Nip of Leaf Spring Formula Elements

Other formulas in Nipping of Leaf Spring category

How to Evaluate Width of Each Leaf given Initial Nip of Leaf Spring?

FAQs on Width of Each Leaf given Initial Nip of Leaf Spring

Variable Name