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

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

GoModulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point 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 = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot δ \cdot b \cdot t^{3}}

E - Modulus of Elasticity of Spring?P - Force Applied at End of Leaf Spring?L - Length of Cantilever of Leaf Spring?n_f - Number of Full length Leaves?n_g - Number of Graduated Length Leaves?δ - Deflection at End of Leaf Spring?b - Width of Leaf?t - Thickness of Leaf?

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

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Here is how the Modulus of Elasticity of Spring given Deflection at end of Spring equation looks like with Values.

Here is how the Modulus of Elasticity of Spring given Deflection at end of Spring equation looks like with Units.

Here is how the Modulus of Elasticity of Spring given Deflection at end of Spring equation looks like.

206999.9857 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 37.3353 \cdot 108 \cdot 12^{3}}

206999.9857N/mm² = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 37.3353mm \cdot 108mm \cdot {12mm}^{3}}

206999.9857 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 37.3353 \cdot 108 \cdot 12^{3}}

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

Follow our step by step solution on how to calculate Modulus of Elasticity of Spring given Deflection at end of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 37.3353mm \cdot 108mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

E = 12 \cdot 37500N \cdot \frac{{0.5m}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.0373m \cdot 0.108m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

E = 12 \cdot 37500 \cdot \frac{{0.5}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 0.0373 \cdot 0.108 \cdot {0.012}^{3}}

Next Step Evaluate

∴

E = 206999985709.797Pa

Next Step Convert to Output's Unit

∴

E = 206999.985709797N/mm²

LAST Step Rounding Answer

∴

E = 206999.9857N/mm²

Modulus of Elasticity of Spring given Deflection at end of Spring 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 Applied at End of Leaf Spring

Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Applied at End of Leaf Spring

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

Number of Full length Leaves

Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.

Symbol: n_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Full length Leaves

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

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

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 leaf of leaf spring given Deflection of Spring at load point

E = 4 \cdot P g \cdot \frac{L^{3}}{δ \cdot n g \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 Spring given Deflection at end of Spring?

Modulus of Elasticity of Spring given Deflection at end of Spring evaluator uses 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) to evaluate the Modulus of Elasticity of Spring, Modulus of Elasticity of Spring given Deflection at end of Spring formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain within the proportional limit of the material, and is used to describe the spring's ability to resist deformation under an applied load. Modulus of Elasticity of Spring is denoted by E symbol.

How to evaluate Modulus of Elasticity of Spring given Deflection at end of Spring using this online evaluator? To use this online evaluator for Modulus of Elasticity of Spring given Deflection at end of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Modulus of Elasticity of Spring given Deflection at end of Spring

What is the formula to find Modulus of Elasticity of Spring given Deflection at end of Spring?

The formula of Modulus of Elasticity of Spring given Deflection at end of Spring is expressed as 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). Here is an example- 0.207 = 12*37500*(0.5^3)/((3*3+2*15)*0.03733534*0.108*0.012^3).

How to calculate Modulus of Elasticity of Spring given Deflection at end of Spring?

With Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Deflection at End of Leaf Spring (δ), Width of Leaf (b) & Thickness of Leaf (t) we can find Modulus of Elasticity of Spring given Deflection at end of Spring using the formula - 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).

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=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)

Can the Modulus of Elasticity of Spring given Deflection at end of Spring be negative?

No, the Modulus of Elasticity of Spring given Deflection at end of Spring, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity of Spring given Deflection at end of Spring?

Modulus of Elasticity of Spring given Deflection at end of Spring 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 Spring given Deflection at end of Spring can be measured.

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

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

​GoModulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point Formula

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

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

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

FAQs on Modulus of Elasticity of Spring given Deflection at end of Spring

Variable Name

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

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