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Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Formula

GoModulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves Formula

GoModulus of Elasticity of Spring given Deflection at end of Spring Formula

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

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

E - Modulus of Elasticity of Spring?P_g - Force Taken by Graduated Length Leaves?L - Length of Cantilever of Leaf Spring?δ - Deflection at End of Leaf Spring?n_g - Number of Graduated Length Leaves?b - Width of Leaf?t - Thickness of Leaf?

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Example

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Here is how the Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point equation looks like with Values.

Here is how the Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point equation looks like with Units.

Here is how the Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point equation looks like.

206999.982 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{37.3353 \cdot 15 \cdot 108 \cdot 12^{3}}

206999.982N/mm² = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{37.3353mm \cdot 15 \cdot 108mm \cdot {12mm}^{3}}

206999.982 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{37.3353 \cdot 15 \cdot 108 \cdot 12^{3}}

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Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{37.3353mm \cdot 15 \cdot 108mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

E = 4 \cdot 43269.23N \cdot \frac{{0.5m}^{3}}{0.0373m \cdot 15 \cdot 0.108m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

E = 4 \cdot 43269.23 \cdot \frac{{0.5}^{3}}{0.0373 \cdot 15 \cdot 0.108 \cdot {0.012}^{3}}

Next Step Evaluate

∴

E = 206999982029.797Pa

Next Step Convert to Output's Unit

∴

E = 206999.982029797N/mm²

LAST Step Rounding Answer

∴

E = 206999.982N/mm²

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Modulus of Elasticity of Spring

Go Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves

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

Go Modulus of Elasticity of Spring given Deflection at end of Spring

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

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 Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point evaluator uses Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at End of Leaf Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3) to evaluate the Modulus of Elasticity of Spring, Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point formula is defined as a measure of the stiffness of a leaf spring, which is a critical parameter in determining the spring's ability to withstand external loads and deformations without permanent damage. Modulus of Elasticity of Spring is denoted by E symbol.

How to evaluate Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point using this online evaluator? To use this online evaluator for Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Deflection at End of Leaf Spring (δ), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point

What is the formula to find Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

The formula of Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point is expressed as Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at End of Leaf Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3). Here is an example- 0.380283 = 4*43269.23*0.5^3/(0.03733534*15*0.108*0.012^3).

How to calculate Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

With Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Deflection at End of Leaf Spring (δ), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) we can find Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point using the formula - Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at End of Leaf Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3).

What are the other ways to Calculate Modulus of Elasticity of Spring?

Here are the different ways to Calculate Modulus of Elasticity of Spring-

Modulus of Elasticity of Spring=6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Modulus of Elasticity of Spring=12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection at End of Leaf Spring*Width of Leaf*Thickness of Leaf^3)

Can the Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point be negative?

No, the Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point can be measured.

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Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Formula

​GoModulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves Formula

​GoModulus of Elasticity of Spring given Deflection at end of Spring Formula

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Example

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Solution

Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Formula Elements

Other Formulas to find Modulus of Elasticity of Spring

Other formulas in Extra Full Length Leaves category

How to Evaluate Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point?

FAQs on Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point

Variable Name

GoModulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves Formula

GoModulus of Elasticity of Spring given Deflection at end of Spring Formula