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Modulus of Elasticity given Deflection in Leaf Spring and Moment Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{M \cdot L^{2}}{8 \cdot δ \cdot I}

E - Young's Modulus?M - Bending Moment?L - Length in Spring?δ - Deflection of Spring?I - Area Moment of Inertia?

Modulus of Elasticity given Deflection in Leaf Spring and Moment Example

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Here is how the Modulus of Elasticity given Deflection in Leaf Spring and Moment equation looks like with Values.

Here is how the Modulus of Elasticity given Deflection in Leaf Spring and Moment equation looks like with Units.

Here is how the Modulus of Elasticity given Deflection in Leaf Spring and Moment equation looks like.

26970.3757 = \frac{67.5 \cdot 4170^{2}}{8 \cdot 3.4 \cdot 0.0016}

26970.3757MPa = \frac{67.5kN*m \cdot {4170mm}^{2}}{8 \cdot 3.4mm \cdot 0.0016m⁴}

26970.3757 = \frac{67.5 \cdot 4170^{2}}{8 \cdot 3.4 \cdot 0.0016}

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Modulus of Elasticity given Deflection in Leaf Spring and Moment Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

FIRST Step Consider the formula

E = \frac{M \cdot L^{2}}{8 \cdot δ \cdot I}

Next Step Substitute values of Variables

∴

E = \frac{67.5kN*m \cdot {4170mm}^{2}}{8 \cdot 3.4mm \cdot 0.0016m⁴}

Next Step Convert Units

∴

E = \frac{67500N*m \cdot {4.17m}^{2}}{8 \cdot 0.0034m \cdot 0.0016m⁴}

Next Step Prepare to Evaluate

∴

E = \frac{67500 \cdot {4.17}^{2}}{8 \cdot 0.0034 \cdot 0.0016}

Next Step Evaluate

∴

E = 26970375689.3382Pa

Next Step Convert to Output's Unit

∴

E = 26970.3756893382MPa

LAST Step Rounding Answer

∴

E = 26970.3757MPa

Modulus of Elasticity given Deflection in Leaf Spring and Moment Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Bending Moment

Bending Moment is the reaction induced in a structural element when an external force or moment is applied, causing the element to bend.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Other formulas in Leaf Springs category

Go Deflection in Leaf Spring given Moment

δ = (\frac{M \cdot L^{2}}{8 \cdot E \cdot I})

Go Moment of Inertia given Deflection in Leaf Spring

I = \frac{M \cdot L^{2}}{8 \cdot E \cdot δ}

Go Moment given Deflection in Leaf Spring

M = \frac{8 \cdot δ \cdot E \cdot I}{L^{2}}

Go Length given Deflection in Leaf Spring

L = \sqrt{\frac{8 \cdot δ \cdot E \cdot I}{M}}

How to Evaluate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

Modulus of Elasticity given Deflection in Leaf Spring and Moment evaluator uses Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia) to evaluate the Young's Modulus, The Modulus of Elasticity given Deflection in Leaf Spring and Moment formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity given Deflection in Leaf Spring and Moment using this online evaluator? To use this online evaluator for Modulus of Elasticity given Deflection in Leaf Spring and Moment, enter Bending Moment (M), Length in Spring (L), Deflection of Spring (δ) & Area Moment of Inertia (I) and hit the calculate button.

FAQs on Modulus of Elasticity given Deflection in Leaf Spring and Moment

What is the formula to find Modulus of Elasticity given Deflection in Leaf Spring and Moment?

The formula of Modulus of Elasticity given Deflection in Leaf Spring and Moment is expressed as Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia). Here is an example- 0.02697 = (67500*4.17^2)/(8*0.0034*0.0016).

How to calculate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

With Bending Moment (M), Length in Spring (L), Deflection of Spring (δ) & Area Moment of Inertia (I) we can find Modulus of Elasticity given Deflection in Leaf Spring and Moment using the formula - Young's Modulus = (Bending Moment*Length in Spring^2)/(8*Deflection of Spring*Area Moment of Inertia).

Can the Modulus of Elasticity given Deflection in Leaf Spring and Moment be negative?

Yes, the Modulus of Elasticity given Deflection in Leaf Spring and Moment, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity given Deflection in Leaf Spring and Moment?

Modulus of Elasticity given Deflection in Leaf Spring and Moment is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Modulus of Elasticity given Deflection in Leaf Spring and Moment can be measured.

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Modulus of Elasticity given Deflection in Leaf Spring and Moment Formula

Modulus of Elasticity given Deflection in Leaf Spring and Moment Example

Modulus of Elasticity given Deflection in Leaf Spring and Moment Solution

Modulus of Elasticity given Deflection in Leaf Spring and Moment Formula Elements

Other formulas in Leaf Springs category

How to Evaluate Modulus of Elasticity given Deflection in Leaf Spring and Moment?

FAQs on Modulus of Elasticity given Deflection in Leaf Spring and Moment

Variable Name