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Force applied at end of Spring given Bending Stress on Graduated length leaves Formula

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GoForce applied at end of Leaf Spring Formula

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GoForce Applied at End of Spring given Force Taken by Graduated length Leaves Formula

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Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring. Check FAQs

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

P - Force Applied at End 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?L - Length of Cantilever of Leaf Spring?

Force applied at end of Spring given Bending Stress on Graduated length leaves Example

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Here is how the Force applied at end of Spring given Bending Stress on Graduated length leaves equation looks like with Values.

Here is how the Force applied at end of Spring given Bending Stress on Graduated length leaves equation looks like with Units.

Here is how the Force applied at end of Spring given Bending Stress on Graduated length leaves equation looks like.

45287.424 = 448 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{12 \cdot 500}

45287.424N = 448N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{12 \cdot 500mm}

45287.424 = 448 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108 \cdot \frac{12^{2}}{12 \cdot 500}

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Force applied at end of Spring given Bending Stress on Graduated length leaves Solution

Follow our step by step solution on how to calculate Force applied at end of Spring given Bending Stress on Graduated length leaves?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 448N/mm² \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 108mm \cdot \frac{{12mm}^{2}}{12 \cdot 500mm}

Next Step Convert Units

∴

P = 4.5E+8Pa \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108m \cdot \frac{{0.012m}^{2}}{12 \cdot 0.5m}

Next Step Prepare to Evaluate

∴

P = 4.5E+8 \cdot (3 \cdot 3 + 2 \cdot 15) \cdot 0.108 \cdot \frac{{0.012}^{2}}{12 \cdot 0.5}

LAST Step Evaluate

∴

P = 45287.424N

Force applied at end of Spring given Bending Stress on Graduated length leaves Formula Elements

Variables

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.

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.

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.

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 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.

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.

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 Force Applied at End of Leaf Spring

Go Force applied at end of Leaf Spring

P = P g + P f

Go Force Applied at End of Spring given Force Taken by Graduated length Leaves

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

Other formulas in Force Taken By Leaves category

Go Force taken by Graduated length leaves given Bending Stress in Plate

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

Go Force Taken by Graduated length leaves given Deflection at Load Point

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

See More

How to Evaluate Force applied at end of Spring given Bending Stress on Graduated length leaves?

Force applied at end of Spring given Bending Stress on Graduated length leaves evaluator uses Force Applied at End 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*Length of Cantilever of Leaf Spring) to evaluate the Force Applied at End of Leaf Spring, Force applied at end of Spring given Bending Stress on Graduated length leaves formula is defined as a measure of the force exerted at the end of a spring when it is subjected to bending stress along a graduated length, which is critical in determining the spring's ability to withstand external loads and stresses. Force Applied at End of Leaf Spring is denoted by P symbol.

How to evaluate Force applied at end of Spring given Bending Stress on Graduated length leaves using this online evaluator? To use this online evaluator for Force applied at end of Spring 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) & Length of Cantilever of Leaf Spring (L) and hit the calculate button.

FAQs on Force applied at end of Spring given Bending Stress on Graduated length leaves

What is the formula to find Force applied at end of Spring given Bending Stress on Graduated length leaves?

The formula of Force applied at end of Spring given Bending Stress on Graduated length leaves is expressed as Force Applied at End 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*Length of Cantilever of Leaf Spring). Here is an example- 45287.42 = 448000000*(3*3+2*15)*0.108*0.012^2/(12*0.5).

How to calculate Force applied at end of Spring 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) & Length of Cantilever of Leaf Spring (L) we can find Force applied at end of Spring given Bending Stress on Graduated length leaves using the formula - Force Applied at End 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*Length of Cantilever of Leaf Spring).

What are the other ways to Calculate Force Applied at End of Leaf Spring?

Here are the different ways to Calculate Force Applied at End of Leaf Spring-

Force Applied at End of Leaf Spring=Force Taken by Graduated Length Leaves+Force Taken by Full Length Leaves
Force Applied at End of Leaf Spring=Force Taken by Graduated Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(2*Number of Graduated Length Leaves)

Can the Force applied at end of Spring given Bending Stress on Graduated length leaves be negative?

No, the Force applied at end of Spring given Bending Stress on Graduated length leaves, measured in Force cannot be negative.

Which unit is used to measure Force applied at end of Spring given Bending Stress on Graduated length leaves?

Force applied at end of Spring given Bending Stress on Graduated length leaves is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force applied at end of Spring given Bending Stress on Graduated length leaves can be measured.

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