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Length of Cantilever given Bending Stress in extra full length leaves Formula

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GoLength of Cantilever given Deflection of Spring at load point Formula

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GoLength of Cantilever given Deflection at end of Spring Formula

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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. Check FAQs

L = σ b f \cdot (3 \cdot n f + 2 \cdot n g) \cdot b \cdot \frac{t^{2}}{18 \cdot P}

L - Length of Cantilever of Leaf Spring?σ_bf - Bending Stress in Full 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 in extra full length leaves Example

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Here is how the Length of Cantilever given Bending Stress in extra full length leaves equation looks like with Values.

Here is how the Length of Cantilever given Bending Stress in extra full length leaves equation looks like with Units.

Here is how the Length of Cantilever given Bending Stress in extra full length leaves equation looks like.

500 = 556.4459 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{18 \cdot 37500}

500mm = 556.4459N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{18 \cdot 37500N}

500 = 556.4459 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{18 \cdot 37500}

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Home » Physics » Mechanical » Design of Automobile Elements » Length of Cantilever given Bending Stress in extra full length leaves

Length of Cantilever given Bending Stress in extra full length leaves Solution

Follow our step by step solution on how to calculate Length of Cantilever given Bending Stress in extra full length leaves?

FIRST Step Consider the formula

L = σ b f \cdot (3 \cdot n f + 2 \cdot n g) \cdot b \cdot \frac{t^{2}}{18 \cdot P}

Next Step Substitute values of Variables

∴

L = 556.4459N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{18 \cdot 37500N}

Next Step Convert Units

∴

L = 5.6E+8Pa \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108m \cdot \frac{{0.012m}^{2}}{18 \cdot 37500N}

Next Step Prepare to Evaluate

∴

L = 5.6E+8 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108 \cdot \frac{{0.012}^{2}}{18 \cdot 37500}

Next Step Evaluate

∴

L = 0.500000027904m

Next Step Convert to Output's Unit

∴

L = 500.000027904mm

LAST Step Rounding Answer

∴

L = 500mm

Length of Cantilever given Bending Stress in extra full length leaves Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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.

Credits

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other Formulas to find Length of Cantilever of Leaf Spring

Go Length of Cantilever given Deflection of Spring at load point

L = {(δ \cdot E \cdot n g \cdot b \cdot \frac{t^{3}}{4 \cdot P g})}^{\frac{1}{3}}

Go Length of Cantilever given Deflection at end of Spring

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

See More

How to Evaluate Length of Cantilever given Bending Stress in extra full length leaves?

Length of Cantilever given Bending Stress in extra full length leaves evaluator uses Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Force Applied at End of Leaf Spring) to evaluate the Length of Cantilever of Leaf Spring, Length of Cantilever given Bending Stress in extra full length leaves formula is defined as a measure of the length of a cantilever beam in extra full length leaves, considering the bending stress, number of full length and guided leaves, and the beam's dimensions, to ensure safe and efficient design in engineering applications. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to evaluate Length of Cantilever given Bending Stress in extra full length leaves using this online evaluator? To use this online evaluator for Length of Cantilever given Bending Stress in extra full length leaves, enter Bending Stress in Full Leaf (σ_bf), 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 in extra full length leaves

What is the formula to find Length of Cantilever given Bending Stress in extra full length leaves?

The formula of Length of Cantilever given Bending Stress in extra full length leaves is expressed as Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Force Applied at End of Leaf Spring). Here is an example- 333333.4 = 556445900*(3*3+2*15)*0.108*0.012^2/(18*37500).

How to calculate Length of Cantilever given Bending Stress in extra full length leaves?

With Bending Stress in Full Leaf (σ_bf), 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 in extra full length leaves using the formula - Length of Cantilever of Leaf Spring = Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*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=(Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3)
Length of Cantilever of Leaf Spring=(Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(12*Force Applied at End of Leaf Spring))^(1/3)

Can the Length of Cantilever given Bending Stress in extra full length leaves be negative?

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

Which unit is used to measure Length of Cantilever given Bending Stress in extra full length leaves?

Length of Cantilever 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 Length of Cantilever given Bending Stress in extra full length leaves can be measured.

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