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

GoWidth of each leaf of leaf Spring given Deflection of Spring at load point 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 = 18 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot σ b f \cdot t^{2}}

b - Width of Leaf?P - Force Applied at End of Leaf Spring?L - Length of Cantilever of Leaf Spring?n_f - Number of Full length Leaves?n_g - Number of Graduated Length Leaves?σ_bf - Bending Stress in Full Leaf?t - Thickness of Leaf?

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

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Here is how the Width of each leaf given Bending Stress in extra full length leaves equation looks like with Values.

Here is how the Width of each leaf given Bending Stress in extra full length leaves equation looks like with Units.

Here is how the Width of each leaf given Bending Stress in extra full length leaves equation looks like.

108 = 18 \cdot 37500 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 556.4459 \cdot 12^{2}}

108mm = 18 \cdot 37500N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 556.4459N/mm² \cdot {12mm}^{2}}

108 = 18 \cdot 37500 \cdot \frac{500}{(3 \cdot 3 + 2 \cdot 15) \cdot 556.4459 \cdot 12^{2}}

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

Follow our step by step solution on how to calculate Width of each leaf given Bending Stress in extra full length leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 18 \cdot 37500N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 556.4459N/mm² \cdot {12mm}^{2}}

Next Step Convert Units

∴

b = 18 \cdot 37500N \cdot \frac{0.5m}{(3 \cdot 3 + 2 \cdot 15) \cdot 5.6E+8Pa \cdot {0.012m}^{2}}

Next Step Prepare to Evaluate

∴

b = 18 \cdot 37500 \cdot \frac{0.5}{(3 \cdot 3 + 2 \cdot 15) \cdot 5.6E+8 \cdot {0.012}^{2}}

Next Step Evaluate

∴

b = 0.107999993972736m

Next Step Convert to Output's Unit

∴

b = 107.999993972736mm

LAST Step Rounding Answer

∴

b = 108mm

Width of each leaf given Bending Stress in extra full length leaves 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 the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.

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

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

Number of Full length Leaves

Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.

Symbol: n_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Full length Leaves

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

Bending Stress in Full Leaf

Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads.

Symbol: σ_bf

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Full Leaf

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 of leaf Spring given Deflection of Spring at load point

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

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 given Bending Stress in extra full length leaves?

Width of each leaf given Bending Stress in extra full length leaves evaluator uses 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) to evaluate the Width of Leaf, Width of each leaf given Bending Stress in extra full length leaves formula is defined as the maximum distance from the center of the leaf to its edge, which is a critical parameter in determining the structural integrity of extra full length leaves under various loading conditions, particularly bending stress. Width of Leaf is denoted by b symbol.

How to evaluate Width of each leaf given Bending Stress in extra full length leaves using this online evaluator? To use this online evaluator for Width of each leaf given Bending Stress in extra full length leaves, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Bending Stress in Full Leaf (σ_bf) & Thickness of Leaf (t) and hit the calculate button.

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

What is the formula to find Width of each leaf given Bending Stress in extra full length leaves?

The formula of Width of each leaf given Bending Stress in extra full length leaves is expressed as 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). Here is an example- 162000 = 18*37500*0.5/((3*3+2*15)*556445900*0.012^2).

How to calculate Width of each leaf given Bending Stress in extra full length leaves?

With Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Bending Stress in Full Leaf (σ_bf) & Thickness of Leaf (t) we can find Width of each leaf given Bending Stress in extra full length leaves using the formula - 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).

What are the other ways to Calculate Width of Leaf?

Here are the different ways to Calculate Width of Leaf-

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)
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 given Bending Stress in extra full length leaves be negative?

No, the Width of each leaf given Bending Stress in extra full length leaves, measured in Length cannot be negative.

Which unit is used to measure Width of each leaf given Bending Stress in extra full length leaves?

Width of each leaf given Bending Stress in extra full length leaves 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 Bending Stress in extra full length leaves can be measured.

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

​GoWidth of each leaf of leaf Spring given Deflection of Spring at load point Formula

​GoWidth of Leaf given Deflection at end of Spring Formula

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

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

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

Other Formulas to find Width of Leaf

Other formulas in Extra Full Length Leaves category

How to Evaluate Width of each leaf given Bending Stress in extra full length leaves?

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

Variable Name

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

GoWidth of Leaf given Deflection at end of Spring Formula