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Length of Cantilever given Bending Stress in Plate of Extra Full Length 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 f \cdot n f \cdot b \cdot \frac{t^{2}}{6 \cdot P f}

L - Length of Cantilever of Leaf Spring?σ_bf - Bending Stress in Full Leaf?n_f - Number of Full length Leaves?b - Width of Leaf?t - Thickness of Leaf?P_f - Force Taken by Full Length Leaves?

Length of Cantilever given Bending Stress in Plate of Extra Full Length Example

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Here is how the Length of Cantilever given Bending Stress in Plate of Extra Full Length equation looks like with Values.

Here is how the Length of Cantilever given Bending Stress in Plate of Extra Full Length equation looks like with Units.

Here is how the Length of Cantilever given Bending Stress in Plate of Extra Full Length equation looks like.

500.0286 = 450 \cdot 3 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 6998}

500.0286mm = 450N/mm² \cdot 3 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 6998N}

500.0286 = 450 \cdot 3 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 6998}

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Length of Cantilever given Bending Stress in Plate of Extra Full Length Solution

Follow our step by step solution on how to calculate Length of Cantilever given Bending Stress in Plate of Extra Full Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 450N/mm² \cdot 3 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 6998N}

Next Step Convert Units

∴

L = 4.5E+8Pa \cdot 3 \cdot 0.108m \cdot \frac{{0.012m}^{2}}{6 \cdot 6998N}

Next Step Prepare to Evaluate

∴

L = 4.5E+8 \cdot 3 \cdot 0.108 \cdot \frac{{0.012}^{2}}{6 \cdot 6998}

Next Step Evaluate

∴

L = 0.50002857959417m

Next Step Convert to Output's Unit

∴

L = 500.02857959417mm

LAST Step Rounding Answer

∴

L = 500.0286mm

Length of Cantilever given Bending Stress in Plate of Extra Full Length 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 Full Leaf

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

Symbol: σ_bf

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Full 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

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 Taken by Full Length Leaves

Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.

Symbol: P_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Full Length Leaves

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}}

Go Length of Cantilever given Bending Stress on Graduated Length Leaves

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

How to Evaluate Length of Cantilever given Bending Stress in Plate of Extra Full Length?

Length of Cantilever given Bending Stress in Plate of Extra Full Length evaluator uses 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) to evaluate the Length of Cantilever of Leaf Spring, Length of Cantilever given Bending Stress in Plate of Extra Full Length formula is defined as the maximum length of a cantilever beam that can withstand a given bending stress in a plate of extra full length, taking into account the beam's dimensions and the force applied. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to evaluate Length of Cantilever given Bending Stress in Plate of Extra Full Length using this online evaluator? To use this online evaluator for Length of Cantilever given Bending Stress in Plate of Extra Full Length, enter Bending Stress in Full Leaf (σ_bf), Number of Full length Leaves (n_f), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Full Length Leaves (P_f) and hit the calculate button.

FAQs on Length of Cantilever given Bending Stress in Plate of Extra Full Length

What is the formula to find Length of Cantilever given Bending Stress in Plate of Extra Full Length?

The formula of Length of Cantilever given Bending Stress in Plate of Extra Full Length is expressed as 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). Here is an example- 499957.1 = 450000000*3*0.108*0.012^2/(6*6998).

How to calculate Length of Cantilever given Bending Stress in Plate of Extra Full Length?

With Bending Stress in Full Leaf (σ_bf), Number of Full length Leaves (n_f), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Full Length Leaves (P_f) we can find Length of Cantilever given Bending Stress in Plate of Extra Full Length using the formula - 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).

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 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)

Can the Length of Cantilever given Bending Stress in Plate of Extra Full Length be negative?

No, the Length of Cantilever given Bending Stress in Plate of Extra Full Length, measured in Length cannot be negative.

Which unit is used to measure Length of Cantilever given Bending Stress in Plate of Extra Full Length?

Length of Cantilever given Bending Stress in Plate of Extra Full Length 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 in Plate of Extra Full Length can be measured.

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Length of Cantilever given Bending Stress in Plate of Extra Full Length 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 in Plate of Extra Full Length Example

Length of Cantilever given Bending Stress in Plate of Extra Full Length Solution

Length of Cantilever given Bending Stress in Plate of Extra Full Length Formula Elements

Other Formulas to find Length of Cantilever of Leaf Spring

How to Evaluate Length of Cantilever given Bending Stress in Plate of Extra Full Length?

FAQs on Length of Cantilever given Bending Stress in Plate of Extra Full Length

Variable Name

GoLength of Cantilever given Bending Stress in Plate Formula

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