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Length of Cantilever given Bending Stress in Plate Formula

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

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

L - Length of Cantilever of Leaf Spring?σ_bg - Bending Stress in Graduated Leaf?n_g - Number of Graduated Length Leaves?b - Width of Leaf?t - Thickness of Leaf?P_g - Force Taken by Graduated Length Leaves?

Length of Cantilever given Bending Stress in Plate Example

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

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

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

500.0049 = 371.66 \cdot 15 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 28900}

500.0049mm = 371.66N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 28900N}

500.0049 = 371.66 \cdot 15 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 28900}

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Length of Cantilever given Bending Stress in Plate Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = 371.66N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 28900N}

Next Step Convert Units

∴

L = 3.7E+8Pa \cdot 15 \cdot 0.108m \cdot \frac{{0.012m}^{2}}{6 \cdot 28900N}

Next Step Prepare to Evaluate

∴

L = 3.7E+8 \cdot 15 \cdot 0.108 \cdot \frac{{0.012}^{2}}{6 \cdot 28900}

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 in Plate 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 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 Taken by Graduated Length Leaves

Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.

Symbol: P_g

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Graduated Length Leaves

Other Formulas to find Length of Cantilever of Leaf Spring

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 in Plate of Extra Full Length

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

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?

Length of Cantilever given Bending Stress in Plate evaluator uses 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) to evaluate the Length of Cantilever of Leaf Spring, Length of Cantilever given Bending Stress in Plate formula is defined as the distance from the fixed end to the free end of a cantilever beam subjected to a bending stress, which is a critical parameter in structural analysis and design to ensure the beam's stability and safety. Length of Cantilever of Leaf Spring is denoted by L symbol.

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

FAQs on Length of Cantilever given Bending Stress in Plate

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

The formula of Length of Cantilever given Bending Stress in Plate is expressed as 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). Here is an example- 499991.4 = 371660000*15*0.108*0.012^2/(6*28900).

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

With Bending Stress in Graduated Leaf (σ_bg), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g) we can find Length of Cantilever given Bending Stress in Plate using the formula - 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).

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=(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)
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 be negative?

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

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

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

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Length of Cantilever given Bending Stress in Plate Formula

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

​GoLength of Cantilever given Bending Stress in Plate of Extra Full Length Formula

Length of Cantilever given Bending Stress in Plate Example

Length of Cantilever given Bending Stress in Plate Solution

Length of Cantilever given Bending Stress in Plate Formula Elements

Other Formulas to find Length of Cantilever of Leaf Spring

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

FAQs on Length of Cantilever given Bending Stress in Plate

Variable Name

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

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