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

GoThickness of each leaf given Deflection at end of Spring 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 = \sqrt{12 \cdot P \cdot \frac{L}{(3 \cdot n f + 2 \cdot n g) \cdot b \cdot σ b f}}

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?b - Width of Leaf?σ_bf - Bending Stress in Full Leaf?

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

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

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

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

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

9.798mm = \sqrt{12 \cdot 37500N \cdot \frac{500mm}{(3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot 556.4459N/mm²}}

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

t = \sqrt{12 \cdot 37500N \cdot \frac{0.5m}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.108m \cdot 5.6E+8Pa}}

Next Step Prepare to Evaluate

∴

t = \sqrt{12 \cdot 37500 \cdot \frac{0.5}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.108 \cdot 5.6E+8}}

Next Step Evaluate

∴

t = 0.00979795869773048m

Next Step Convert to Output's Unit

∴

t = 9.79795869773048mm

LAST Step Rounding Answer

∴

t = 9.798mm

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

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Thickness of Leaf

Go Thickness of each leaf given Deflection at end of Spring

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}}

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 Bending Stress in extra full length leaves?

Thickness of each leaf given Bending Stress in extra full length leaves evaluator uses 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)) to evaluate the Thickness of Leaf, Thickness of each leaf given Bending Stress in extra full length leaves formula is defined as a measure of the thickness required for each leaf in extra full length leaves to withstand bending stress, considering the load, length, and material properties, ensuring the structural integrity of the leaves. Thickness of Leaf is denoted by t symbol.

How to evaluate Thickness of each leaf given Bending Stress in extra full length leaves using this online evaluator? To use this online evaluator for Thickness 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), Width of Leaf (b) & Bending Stress in Full Leaf (σ_bf) and hit the calculate button.

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

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

The formula of Thickness of each leaf given Bending Stress in extra full length leaves is expressed as 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)). Here is an example- 9797.959 = sqrt(12*37500*0.5/((3*3+2*15)*0.108*556445900)).

How to calculate Thickness 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), Width of Leaf (b) & Bending Stress in Full Leaf (σ_bf) we can find Thickness of each leaf given Bending Stress in extra full length leaves using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Thickness of Leaf?

Here are the different ways to Calculate Thickness of Leaf-

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)

Can the Thickness of each leaf given Bending Stress in extra full length leaves be negative?

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

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

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

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

​GoThickness of each leaf given Deflection at end of Spring Formula

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

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

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

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

Variable Name

GoThickness of each leaf given Deflection at end of Spring Formula