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Thickness of each leaf given Deflection at end of Spring Formula

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

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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. Check FAQs

t = {(12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot b \cdot δ})}^{\frac{1}{3}}

t - Thickness 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?E - Modulus of Elasticity of Spring?b - Width of Leaf?δ - Deflection at End of Leaf Spring?

Thickness of each leaf given Deflection at end of Spring Example

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Here is how the Thickness of each leaf given Deflection at end of Spring equation looks like with Values.

Here is how the Thickness of each leaf given Deflection at end of Spring equation looks like with Units.

Here is how the Thickness of each leaf given Deflection at end of Spring equation looks like.

12 = {(12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 37.3353})}^{\frac{1}{3}}

12mm = {(12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot 37.3353mm})}^{\frac{1}{3}}

12 = {(12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 37.3353})}^{\frac{1}{3}}

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Thickness of each leaf given Deflection at end of Spring Solution

Follow our step by step solution on how to calculate Thickness of each leaf given Deflection at end of Spring?

FIRST Step Consider the formula

t = {(12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot b \cdot δ})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

t = {(12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot 37.3353mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

t = {(12 \cdot 37500N \cdot \frac{{0.5m}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11Pa \cdot 0.108m \cdot 0.0373m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

t = {(12 \cdot 37500 \cdot \frac{{0.5}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11 \cdot 0.108 \cdot 0.0373})}^{\frac{1}{3}}

Next Step Evaluate

∴

t = 0.0119999997238608m

Next Step Convert to Output's Unit

∴

t = 11.9999997238608mm

LAST Step Rounding Answer

∴

t = 12mm

Thickness of each leaf given Deflection at end of Spring Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Thickness of Leaf

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

t = \sqrt{12 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot b \cdot σ b f}}

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 Thickness of each leaf given Deflection at end of Spring?

Thickness of each leaf given Deflection at end of Spring evaluator uses Thickness 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*Width of Leaf*Deflection at End of Leaf Spring))^(1/3) to evaluate the Thickness of Leaf, Thickness of each leaf given Deflection at end of Spring formula is defined as the measure of the thickness of each leaf in a spring, considering the deflection at the end of the spring, and is influenced by factors such as the load, length, and material properties of the spring. Thickness of Leaf is denoted by t symbol.

How to evaluate Thickness of each leaf given Deflection at end of Spring using this online evaluator? To use this online evaluator for Thickness of each leaf given Deflection at end of Spring, 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), Modulus of Elasticity of Spring (E), Width of Leaf (b) & Deflection at End of Leaf Spring (δ) and hit the calculate button.

FAQs on Thickness of each leaf given Deflection at end of Spring

What is the formula to find Thickness of each leaf given Deflection at end of Spring?

The formula of Thickness of each leaf given Deflection at end of Spring is expressed as Thickness 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*Width of Leaf*Deflection at End of Leaf Spring))^(1/3). Here is an example- 12000 = (12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.03733534))^(1/3).

How to calculate Thickness of each leaf given Deflection at end of Spring?

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), Modulus of Elasticity of Spring (E), Width of Leaf (b) & Deflection at End of Leaf Spring (δ) we can find Thickness of each leaf given Deflection at end of Spring using the formula - Thickness 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*Width of Leaf*Deflection at End of Leaf Spring))^(1/3).

What are the other ways to Calculate Thickness of Leaf?

Here are the different ways to Calculate Thickness of Leaf-

Thickness of Leaf=sqrt(12*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)*Width of Leaf*Bending Stress in Full Leaf))

Can the Thickness of each leaf given Deflection at end of Spring be negative?

No, the Thickness of each leaf given Deflection at end of Spring, measured in Length cannot be negative.

Which unit is used to measure Thickness of each leaf given Deflection at end of Spring?

Thickness of each leaf given Deflection at end of Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of each leaf given Deflection at end of Spring can be measured.

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Thickness of each leaf given Deflection at end of Spring Formula

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

Thickness of each leaf given Deflection at end of Spring Example

Thickness of each leaf given Deflection at end of Spring Solution

Thickness of each leaf given Deflection at end of Spring Formula Elements

Other Formulas to find Thickness of Leaf

Other formulas in Extra Full Length Leaves category

How to Evaluate Thickness of each leaf given Deflection at end of Spring?

FAQs on Thickness of each leaf given Deflection at end of Spring

Variable Name

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