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Portion of Force taken by extra full length leaf given deflection of Spring at load point Formula

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Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement. Check FAQs

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

P_g - Force Taken by Graduated Length Leaves?δ - Deflection at End of Leaf Spring?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?

Portion of Force taken by extra full length leaf given deflection of Spring at load point Example

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Here is how the Portion of Force taken by extra full length leaf given deflection of Spring at load point equation looks like with Values.

Here is how the Portion of Force taken by extra full length leaf given deflection of Spring at load point equation looks like with Units.

Here is how the Portion of Force taken by extra full length leaf given deflection of Spring at load point equation looks like.

43269.2338 = 37.3353 \cdot 207000 \cdot 15 \cdot 108 \cdot \frac{12^{3}}{4 \cdot (500^{3})}

43269.2338N = 37.3353mm \cdot 207000N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{3}}{4 \cdot ({500mm}^{3})}

43269.2338 = 37.3353 \cdot 207000 \cdot 15 \cdot 108 \cdot \frac{12^{3}}{4 \cdot (500^{3})}

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Portion of Force taken by extra full length leaf given deflection of Spring at load point Solution

Follow our step by step solution on how to calculate Portion of Force taken by extra full length leaf given deflection of Spring at load point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P g = 37.3353mm \cdot 207000N/mm² \cdot 15 \cdot 108mm \cdot \frac{{12mm}^{3}}{4 \cdot ({500mm}^{3})}

Next Step Convert Units

∴

P g = 0.0373m \cdot 2.1E+11Pa \cdot 15 \cdot 0.108m \cdot \frac{{0.012m}^{3}}{4 \cdot ({0.5m}^{3})}

Next Step Prepare to Evaluate

∴

P g = 0.0373 \cdot 2.1E+11 \cdot 15 \cdot 0.108 \cdot \frac{{0.012}^{3}}{4 \cdot ({0.5}^{3})}

Next Step Evaluate

∴

P g = 43269.2337563136N

LAST Step Rounding Answer

∴

P g = 43269.2338N

Portion of Force taken by extra full length leaf given deflection of Spring at load point Formula Elements

Variables

Force Taken by Graduated Length Leaves

Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.

Symbol: P_g

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Graduated Length Leaves

Deflection at End of Leaf Spring

Deflection at end of leaf spring is the maximum displacement of the leaf spring's end from its original position when a force is applied.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection at End of Leaf Spring

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is the measure of the spring's stiffness, representing the amount of stress it can withstand without deforming.

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 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.

Formulas to find Thickness of Leaf

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.

Formulas to find Length of Cantilever of Leaf Spring

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}}

How to Evaluate Portion of Force taken by extra full length leaf given deflection of Spring at load point?

Portion of Force taken by extra full length leaf given deflection of Spring at load point evaluator uses Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)) to evaluate the Force Taken by Graduated Length Leaves, Portion of Force taken by extra full length leaf given deflection of Spring at load point formula is defined as the proportion of force absorbed by an extra full-length leaf in a spring system, considering the deflection of the spring at the load point, which is critical in determining the spring's overall behavior and performance. Force Taken by Graduated Length Leaves is denoted by P_g symbol.

How to evaluate Portion of Force taken by extra full length leaf given deflection of Spring at load point using this online evaluator? To use this online evaluator for Portion of Force taken by extra full length leaf given deflection of Spring at load point, enter Deflection at End of Leaf Spring (δ), 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 Portion of Force taken by extra full length leaf given deflection of Spring at load point

What is the formula to find Portion of Force taken by extra full length leaf given deflection of Spring at load point?

The formula of Portion of Force taken by extra full length leaf given deflection of Spring at load point is expressed as Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)). Here is an example- 43269.23 = 0.03733534*207000000000*15*0.108*0.012^3/(4*(0.5^3)).

How to calculate Portion of Force taken by extra full length leaf given deflection of Spring at load point?

With Deflection at End of Leaf Spring (δ), 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 Portion of Force taken by extra full length leaf given deflection of Spring at load point using the formula - Force Taken by Graduated Length Leaves = Deflection at End of Leaf Spring*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*(Length of Cantilever of Leaf Spring^3)).

Can the Portion of Force taken by extra full length leaf given deflection of Spring at load point be negative?

No, the Portion of Force taken by extra full length leaf given deflection of Spring at load point, measured in Force cannot be negative.

Which unit is used to measure Portion of Force taken by extra full length leaf given deflection of Spring at load point?

Portion of Force taken by extra full length leaf given deflection of Spring 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 Portion of Force taken by extra full length leaf given deflection of Spring at load point can be measured.

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Portion of Force taken by extra full length leaf given deflection of Spring at load point Formula

Portion of Force taken by extra full length leaf given deflection of Spring at load point Example

Portion of Force taken by extra full length leaf given deflection of Spring at load point Solution

Portion of Force taken by extra full length leaf given deflection of Spring at load point Formula Elements

Other formulas in Extra Full Length Leaves category

How to Evaluate Portion of Force taken by extra full length leaf given deflection of Spring at load point?

FAQs on Portion of Force taken by extra full length leaf given deflection of Spring at load point

Variable Name