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Length of Cantilever given Bending Stress on Graduated Length Leaves Formula

GoLength of Cantilever given Bending Stress in Plate Formula

GoLength of Cantilever given Deflection at Load Point of Graduated length leaves Formula

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The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring. Check FAQs

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

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

Length of Cantilever given Bending Stress on Graduated Length Leaves Example

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Here is how the Length of Cantilever given Bending Stress on Graduated Length Leaves equation looks like with Values.

Here is how the Length of Cantilever given Bending Stress on Graduated Length Leaves equation looks like with Units.

Here is how the Length of Cantilever given Bending Stress on Graduated Length Leaves equation looks like.

500.0049 = 371.66 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{12 \cdot 37570}

500.0049mm = 371.66N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{12 \cdot 37570N}

500.0049 = 371.66 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{12 \cdot 37570}

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Length of Cantilever given Bending Stress on Graduated Length Leaves Solution

Follow our step by step solution on how to calculate Length of Cantilever given Bending Stress on Graduated Length Leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 371.66N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{12 \cdot 37570N}

Next Step Convert Units

∴

L = 3.7E+8Pa \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108m \cdot \frac{{0.012m}^{2}}{12 \cdot 37570N}

Next Step Prepare to Evaluate

∴

L = 3.7E+8 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108 \cdot \frac{{0.012}^{2}}{12 \cdot 37570}

Next Step Evaluate

∴

L = 0.500004871972318m

Next Step Convert to Output's Unit

∴

L = 500.004871972318mm

LAST Step Rounding Answer

∴

L = 500.0049mm

Length of Cantilever given Bending Stress on Graduated Length Leaves Formula Elements

Variables

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

Bending Stress in Graduated Leaf

Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.

Symbol: σ_bg

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Graduated Leaf

Number of Full length Leaves

Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.

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

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

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

Other Formulas to find Length of Cantilever of Leaf Spring

Go Length of Cantilever given Bending Stress in Plate

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

Go Length of Cantilever given Deflection at Load Point of Graduated length leaves

L = {(δ g \cdot E \cdot n g \cdot b \cdot \frac{t^{3}}{6 \cdot P g})}^{\frac{1}{3}}

How to Evaluate Length of Cantilever given Bending Stress on Graduated Length Leaves?

Length of Cantilever given Bending Stress on Graduated Length Leaves evaluator uses Length of Cantilever of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Force Applied at End of Leaf Spring) to evaluate the Length of Cantilever of Leaf Spring, Length of Cantilever given Bending Stress on Graduated Length Leaves formula is defined as a method to determine the length of a cantilever beam subjected to bending stress, considering the graduated length leaves, which is essential in mechanical engineering and structural design to ensure the stability and safety of the beam. Length of Cantilever of Leaf Spring is denoted by L symbol.

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

FAQs on Length of Cantilever given Bending Stress on Graduated Length Leaves

What is the formula to find Length of Cantilever given Bending Stress on Graduated Length Leaves?

The formula of Length of Cantilever given Bending Stress on Graduated Length Leaves is expressed as Length of Cantilever of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Force Applied at End of Leaf Spring). Here is an example- 499938.3 = 371660000*(3*3+2*15)*0.108*0.012^2/(12*37570).

How to calculate Length of Cantilever given Bending Stress on Graduated Length Leaves?

With Bending Stress in Graduated Leaf (σ_bg), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P) we can find Length of Cantilever given Bending Stress on Graduated Length Leaves using the formula - Length of Cantilever of Leaf Spring = Bending Stress in Graduated Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Force Applied at End of Leaf Spring).

What are the other ways to Calculate Length of Cantilever of Leaf Spring?

Here are the different ways to Calculate Length of Cantilever of Leaf Spring-

Length of Cantilever of Leaf Spring=Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves)
Length of Cantilever of Leaf Spring=(Deflection of Graduated Leaf at Load Point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Force Taken by Graduated Length Leaves))^(1/3)
Length of Cantilever of Leaf Spring=Bending Stress in Full Leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)

Can the Length of Cantilever given Bending Stress on Graduated Length Leaves be negative?

No, the Length of Cantilever given Bending Stress on Graduated Length Leaves, measured in Length cannot be negative.

Which unit is used to measure Length of Cantilever given Bending Stress on Graduated Length Leaves?

Length of Cantilever given Bending Stress on Graduated Length Leaves is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Cantilever given Bending Stress on Graduated Length Leaves can be measured.

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Length of Cantilever given Bending Stress on Graduated Length Leaves Formula

​GoLength of Cantilever given Bending Stress in Plate Formula

​GoLength of Cantilever given Deflection at Load Point of Graduated length leaves Formula

Length of Cantilever given Bending Stress on Graduated Length Leaves Example

Length of Cantilever given Bending Stress on Graduated Length Leaves Solution

Length of Cantilever given Bending Stress on Graduated Length Leaves Formula Elements

Other Formulas to find Length of Cantilever of Leaf Spring

How to Evaluate Length of Cantilever given Bending Stress on Graduated Length Leaves?

FAQs on Length of Cantilever given Bending Stress on Graduated Length Leaves

Variable Name

GoLength of Cantilever given Bending Stress in Plate Formula

GoLength of Cantilever given Deflection at Load Point of Graduated length leaves Formula