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

GoForce Taken by Graduated length leaves given Deflection at Load Point Formula

GoForce Taken by Graduated length leaves given Number of Leaves Formula

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

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

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

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

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Here is how the Force taken by Graduated length leaves given Bending Stress in Plate equation looks like with Values.

Here is how the Force taken by Graduated length leaves given Bending Stress in Plate equation looks like with Units.

Here is how the Force taken by Graduated length leaves given Bending Stress in Plate equation looks like.

34836.48 = 448 \cdot 15 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 500}

34836.48N = 448N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 500mm}

34836.48 = 448 \cdot 15 \cdot 108 \cdot \frac{12^{2}}{6 \cdot 500}

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

Follow our step by step solution on how to calculate Force taken by Graduated length leaves given Bending Stress in Plate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P g = 448N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{2}}{6 \cdot 500mm}

Next Step Convert Units

∴

P g = 4.5E+8Pa \cdot 15 \cdot 0.108m \cdot \frac{{0.012m}^{2}}{6 \cdot 0.5m}

Next Step Prepare to Evaluate

∴

P g = 4.5E+8 \cdot 15 \cdot 0.108 \cdot \frac{{0.012}^{2}}{6 \cdot 0.5}

LAST Step Evaluate

∴

P g = 34836.48N

Force taken by Graduated length leaves given Bending Stress in Plate Formula Elements

Variables

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

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

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

Other Formulas to find Force Taken by Graduated Length Leaves

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}}

Go Force Taken by Graduated length leaves given Number of Leaves

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

Go Force taken by graduated length leaves given force applied at end of spring

P g = P - P f

Go Force Taken by Graduated Length Leaves in Terms of Force Applied at End of Spring

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

Other formulas in Force Taken By Leaves category

Go Force Taken by Full Length Leaves given Bending Stress in Plate Extra Full Length

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

Go Force taken by Extra Full length leaves given Number of leaves

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

Go Force applied at end of Leaf Spring

P = P g + P f

Go Force Taken by Full length Leaves given Force at end of Spring

P f = P - P g

How to Evaluate Force taken by Graduated length leaves given Bending Stress in Plate?

Force taken by Graduated length leaves given Bending Stress in Plate evaluator uses Force Taken by Graduated Length Leaves = Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Length of Cantilever of Leaf Spring) to evaluate the Force Taken by Graduated Length Leaves, Force taken by Graduated length leaves given Bending Stress in Plate formula is defined as the measure of force exerted by graduated length leaves when subjected to bending stress in a plate, which is essential in understanding the mechanical properties of materials under various loads. Force Taken by Graduated Length Leaves is denoted by P_g symbol.

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

FAQs on Force taken by Graduated length leaves given Bending Stress in Plate

What is the formula to find Force taken by Graduated length leaves given Bending Stress in Plate?

The formula of Force taken by Graduated length leaves given Bending Stress in Plate is expressed as Force Taken by Graduated Length Leaves = Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Length of Cantilever of Leaf Spring). Here is an example- 34836.48 = 448000000*15*0.108*0.012^2/(6*0.5).

How to calculate Force taken by Graduated length leaves 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) & Length of Cantilever of Leaf Spring (L) we can find Force taken by Graduated length leaves given Bending Stress in Plate using the formula - Force Taken by Graduated Length Leaves = Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Length of Cantilever of Leaf Spring).

What are the other ways to Calculate Force Taken by Graduated Length Leaves?

Here are the different ways to Calculate Force Taken by Graduated Length Leaves-

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

Can the Force taken by Graduated length leaves given Bending Stress in Plate be negative?

No, the Force taken by Graduated length leaves given Bending Stress in Plate, measured in Force cannot be negative.

Which unit is used to measure Force taken by Graduated length leaves given Bending Stress in Plate?

Force taken by Graduated length leaves given Bending Stress in Plate is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force taken by Graduated length leaves given Bending Stress in Plate can be measured.

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

​GoForce Taken by Graduated length leaves given Deflection at Load Point Formula

​GoForce Taken by Graduated length leaves given Number of Leaves Formula

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

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

Force taken by Graduated length leaves given Bending Stress in Plate Formula Elements

Other Formulas to find Force Taken by Graduated Length Leaves

Other formulas in Force Taken By Leaves category

How to Evaluate Force taken by Graduated length leaves given Bending Stress in Plate?

FAQs on Force taken by Graduated length leaves given Bending Stress in Plate

Variable Name

GoForce Taken by Graduated length leaves given Deflection at Load Point Formula

GoForce Taken by Graduated length leaves given Number of Leaves Formula