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Width of each leaf of leaf Spring given Deflection of Spring at load point Formula

GoWidth of each leaf given Bending Stress in extra full length leaves Formula

GoWidth of Leaf given Deflection at end of 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 = 4 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot δ \cdot t^{3}}

b - Width of Leaf?P_g - Force Taken by Graduated Length Leaves?L - Length of Cantilever of Leaf Spring?E - Modulus of Elasticity of Spring?n_g - Number of Graduated Length Leaves?δ - Deflection at End of Leaf Spring?t - Thickness of Leaf?

Width of each leaf of leaf Spring given Deflection of Spring at load point Example

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Here is how the Width of each leaf of leaf Spring given Deflection of Spring at load point equation looks like with Values.

Here is how the Width of each leaf of leaf Spring given Deflection of Spring at load point equation looks like with Units.

Here is how the Width of each leaf of leaf Spring given Deflection of Spring at load point equation looks like.

108 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 37.3353 \cdot 12^{3}}

108mm = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 37.3353mm \cdot {12mm}^{3}}

108 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 37.3353 \cdot 12^{3}}

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Width of each leaf of leaf Spring given Deflection of Spring at load point Solution

Follow our step by step solution on how to calculate Width of each leaf of leaf Spring given Deflection of Spring at load point?

FIRST Step Consider the formula

b = 4 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot δ \cdot t^{3}}

Next Step Substitute values of Variables

∴

b = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 37.3353mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

b = 4 \cdot 43269.23N \cdot \frac{{0.5m}^{3}}{2.1E+11Pa \cdot 15 \cdot 0.0373m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 4 \cdot 43269.23 \cdot \frac{{0.5}^{3}}{2.1E+11 \cdot 15 \cdot 0.0373 \cdot {0.012}^{3}}

Next Step Evaluate

∴

b = 0.107999990624242m

Next Step Convert to Output's Unit

∴

b = 107.999990624242mm

LAST Step Rounding Answer

∴

b = 108mm

Width of each leaf of leaf Spring given Deflection of Spring at load point 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 Taken by Graduated Length Leaves

Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.

Symbol: P_g

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Graduated Length Leaves

Length of Cantilever of Leaf Spring

Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.

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 the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

Number of Graduated Length Leaves

Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.

Symbol: n_g

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Graduated Length Leaves

Deflection at End of Leaf Spring

Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection at End of Leaf Spring

Thickness of Leaf

Thickness of Leaf is the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Leaf

Other Formulas to find Width of Leaf

Go Width of each leaf given Bending Stress in extra full length leaves

b = 18 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot σ b f \cdot t^{2}}

Go Width of Leaf given Deflection at end of Spring

b = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot δ \cdot t^{3}}

Other formulas in Extra Full Length Leaves category

Go Bending Stress in Plate Graduated Length Leaves

σ b f = 6 \cdot P g \cdot \frac{L}{n g \cdot b \cdot t^{2}}

Go Deflection at Load Point Graduated Length Leaves

δ g = 6 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot b \cdot t^{3}}

How to Evaluate Width of each leaf of leaf Spring given Deflection of Spring at load point?

Width of each leaf of leaf Spring given Deflection of Spring at load point evaluator uses Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3) to evaluate the Width of Leaf, Width of each leaf of leaf Spring given Deflection of Spring at load point formula is defined as the measure of the width of each leaf in a leaf spring, which is a critical parameter in determining the spring's stiffness and load-carrying capacity, particularly in applications where the spring is subjected to deflection at a load point. Width of Leaf is denoted by b symbol.

How to evaluate Width of each leaf of leaf Spring given Deflection of Spring at load point using this online evaluator? To use this online evaluator for Width of each leaf of leaf Spring given Deflection of Spring at load point, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Width of each leaf of leaf Spring given Deflection of Spring at load point

What is the formula to find Width of each leaf of leaf Spring given Deflection of Spring at load point?

The formula of Width of each leaf of leaf Spring given Deflection of Spring at load point is expressed as Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3). Here is an example- 108000 = 4*43269.23*(0.5^3)/(207000000000*15*0.03733534*0.012^3).

How to calculate Width of each leaf of leaf Spring given Deflection of Spring at load point?

With Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ) & Thickness of Leaf (t) we can find Width of each leaf of leaf Spring given Deflection of Spring at load point using the formula - Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection at End of Leaf Spring*Thickness of Leaf^3).

What are the other ways to Calculate Width of Leaf?

Here are the different ways to Calculate Width of Leaf-

Width of Leaf=18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Bending Stress in Full Leaf*Thickness of Leaf^2)
Width of Leaf=12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Deflection at End of Leaf Spring*Thickness of Leaf^3)

Can the Width of each leaf of leaf Spring given Deflection of Spring at load point be negative?

No, the Width of each leaf of leaf Spring given Deflection of Spring at load point, measured in Length cannot be negative.

Which unit is used to measure Width of each leaf of leaf Spring given Deflection of Spring at load point?

Width of each leaf of leaf Spring given Deflection of Spring at load point 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 of leaf Spring given Deflection of Spring at load point can be measured.

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Width of each leaf of leaf Spring given Deflection of Spring at load point Formula

​GoWidth of each leaf given Bending Stress in extra full length leaves Formula

​GoWidth of Leaf given Deflection at end of Spring Formula

Width of each leaf of leaf Spring given Deflection of Spring at load point Example

Width of each leaf of leaf Spring given Deflection of Spring at load point Solution

Width of each leaf of leaf Spring given Deflection of Spring at load point Formula Elements

Other Formulas to find Width of Leaf

Other formulas in Extra Full Length Leaves category

How to Evaluate Width of each leaf of leaf Spring given Deflection of Spring at load point?

FAQs on Width of each leaf of leaf Spring given Deflection of Spring at load point

Variable Name

GoWidth of each leaf given Bending Stress in extra full length leaves Formula

GoWidth of Leaf given Deflection at end of Spring Formula