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Number of Graduated length leaves given Bending Stress on Graduated length leaves Formula

2

GoNumber of Graduated length leaves given Bending Stress in Plate Formula

3

GoNumber of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves Formula

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Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf. Check FAQs

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

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

Number of Graduated length leaves given Bending Stress on Graduated length leaves Example

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Here is how the Number of Graduated length leaves given Bending Stress on Graduated length leaves equation looks like with Values.

Here is how the Number of Graduated length leaves given Bending Stress on Graduated length leaves equation looks like with Units.

Here is how the Number of Graduated length leaves given Bending Stress on Graduated length leaves equation looks like.

11.6469 = (\frac{12 \cdot 37500 \cdot 500}{448 \cdot 108 \cdot 12^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

11.6469 = (\frac{12 \cdot 37500N \cdot 500mm}{448N/mm² \cdot 108mm \cdot {12mm}^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

11.6469 = (\frac{12 \cdot 37500 \cdot 500}{448 \cdot 108 \cdot 12^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

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Number of Graduated length leaves given Bending Stress on Graduated length leaves Solution

Follow our step by step solution on how to calculate Number of Graduated length leaves given Bending Stress on Graduated length leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n g = (\frac{12 \cdot 37500N \cdot 500mm}{448N/mm² \cdot 108mm \cdot {12mm}^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

Next Step Convert Units

∴

n g = (\frac{12 \cdot 37500N \cdot 0.5m}{4.5E+8Pa \cdot 0.108m \cdot {0.012m}^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

Next Step Prepare to Evaluate

∴

n g = (\frac{12 \cdot 37500 \cdot 0.5}{4.5E+8 \cdot 0.108 \cdot {0.012}^{2} \cdot 2}) - 3 \cdot \frac{3}{2}

Next Step Evaluate

∴

n g = 11.6468667328042

LAST Step Rounding Answer

∴

n g = 11.6469

Number of Graduated length leaves given Bending Stress on Graduated length leaves Formula Elements

Variables

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.

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.

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.

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.

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 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.

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.

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 Number of Graduated Length Leaves

Go Number of Graduated length leaves given Bending Stress in Plate

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

Go Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves

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

Other formulas in Number of leaves category

Go Number of Full Length Leaves given Bending Stress in Plate Extra Full Length

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

Go Number of Extra Full Length Leaves given Force Taken by Graduated Length Leaves

n f = 2 \cdot P f \cdot \frac{n g}{3 \cdot P g}

How to Evaluate Number of Graduated length leaves given Bending Stress on Graduated length leaves?

Number of Graduated length leaves given Bending Stress on Graduated length leaves evaluator uses Number of Graduated Length Leaves = ((12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Graduated Leaf*Width of Leaf*Thickness of Leaf^2*2))-3*Number of Full length Leaves/2 to evaluate the Number of Graduated Length Leaves, Number of Graduated length leaves given Bending Stress on Graduated length leaves is defined as the total number of graduated length leaves that are present in multi leaf spring. Number of Graduated Length Leaves is denoted by n_g symbol.

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

FAQs on Number of Graduated length leaves given Bending Stress on Graduated length leaves

What is the formula to find Number of Graduated length leaves given Bending Stress on Graduated length leaves?

The formula of Number of Graduated length leaves given Bending Stress on Graduated length leaves is expressed as Number of Graduated Length Leaves = ((12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in Graduated Leaf*Width of Leaf*Thickness of Leaf^2*2))-3*Number of Full length Leaves/2. Here is an example- 11.64687 = ((12*37500*0.5)/(448000000*0.108*0.012^2*2))-3*3/2.

How to calculate Number of Graduated length leaves given Bending Stress on Graduated length leaves?

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

What are the other ways to Calculate Number of Graduated Length Leaves?

Here are the different ways to Calculate Number of Graduated Length Leaves-

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

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