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

GoForce taken by Graduated length leaves given Bending Stress in Plate 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 = δ g \cdot E \cdot n g \cdot b \cdot \frac{t^{3}}{6 \cdot L^{3}}

P_g - Force Taken by Graduated Length Leaves?δ_g - Deflection of Graduated Leaf at Load Point?E - Modulus of Elasticity of Spring?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 Deflection at Load Point Example

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Here is how the Force Taken by Graduated length leaves given Deflection at Load Point equation looks like with Values.

Here is how the Force Taken by Graduated length leaves given Deflection at Load Point equation looks like with Units.

Here is how the Force Taken by Graduated length leaves given Deflection at Load Point equation looks like.

27814.441 = 36 \cdot 207000 \cdot 15 \cdot 108 \cdot \frac{12^{3}}{6 \cdot 500^{3}}

27814.441N = 36mm \cdot 207000N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{3}}{6 \cdot {500mm}^{3}}

27814.441 = 36 \cdot 207000 \cdot 15 \cdot 108 \cdot \frac{12^{3}}{6 \cdot 500^{3}}

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

Follow our step by step solution on how to calculate Force Taken by Graduated length leaves given Deflection at Load Point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P g = 36mm \cdot 207000N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{3}}{6 \cdot {500mm}^{3}}

Next Step Convert Units

∴

P g = 0.036m \cdot 2.1E+11Pa \cdot 15 \cdot 0.108m \cdot \frac{{0.012m}^{3}}{6 \cdot {0.5m}^{3}}

Next Step Prepare to Evaluate

∴

P g = 0.036 \cdot 2.1E+11 \cdot 15 \cdot 0.108 \cdot \frac{{0.012}^{3}}{6 \cdot {0.5}^{3}}

Next Step Evaluate

∴

P g = 27814.44096N

LAST Step Rounding Answer

∴

P g = 27814.441N

Force Taken by Graduated length leaves given Deflection at Load Point 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

Deflection of Graduated Leaf at Load Point

Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.

Symbol: δ_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Graduated Leaf at Load Point

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Spring

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 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 Number of Leaves

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

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}

How to Evaluate Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point evaluator uses 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) to evaluate the Force Taken by Graduated Length Leaves, Force Taken by Graduated length leaves given Deflection at Load Point formula is defined as a measure of the force exerted by graduated length leaves at a specific load point, taking into account the deflection, modulus of elasticity, number of leaves, breadth, and thickness of the leaves, as well as the length of the load point. Force Taken by Graduated Length Leaves is denoted by P_g symbol.

How to evaluate Force Taken by Graduated length leaves given Deflection at Load Point using this online evaluator? To use this online evaluator for Force Taken by Graduated length leaves given Deflection at Load Point, enter Deflection of Graduated Leaf at Load Point (δ_g), Modulus of Elasticity of Spring (E), 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 Deflection at Load Point

What is the formula to find Force Taken by Graduated length leaves given Deflection at Load Point?

The formula of Force Taken by Graduated length leaves given Deflection at Load Point is expressed as 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). Here is an example- 27814.44 = 0.036*207000000000*15*0.108*0.012^3/(6*0.5^3).

How to calculate Force Taken by Graduated length leaves given Deflection at Load Point?

With Deflection of Graduated Leaf at Load Point (δ_g), Modulus of Elasticity of Spring (E), 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 Deflection at Load Point using the formula - 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).

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=Bending Stress in Graduated Leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Length of Cantilever of Leaf Spring)
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 Deflection at Load Point be negative?

No, the Force Taken by Graduated length leaves given Deflection at Load Point, measured in Force cannot be negative.

Which unit is used to measure Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point 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 Deflection at Load Point can be measured.

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

​GoForce taken by Graduated length leaves given Bending Stress in Plate Formula

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

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

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

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

FAQs on Force Taken by Graduated length leaves given Deflection at Load Point

Variable Name

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

GoForce Taken by Graduated length leaves given Number of Leaves Formula