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Modulus of Elasticity in Leaf Spring given Deflection 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{3 \cdot W load \cdot L^{3}}{8 \cdot δ Leaf \cdot n \cdot b \cdot t^{3}}

E - Young's Modulus?W_load - Spring Load?L - Length in Spring?δ_Leaf - Deflection of Leaf Spring?n - Number of Plates?b - Width of Cross Section?t - Thickness of Section?

Modulus of Elasticity in Leaf Spring given Deflection Example

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

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

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

20028.4192 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 494 \cdot 8 \cdot 300 \cdot 460^{3}}

20028.4192MPa = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 494mm \cdot 8 \cdot 300mm \cdot {460mm}^{3}}

20028.4192 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 494 \cdot 8 \cdot 300 \cdot 460^{3}}

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Modulus of Elasticity in Leaf Spring given Deflection Solution

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

FIRST Step Consider the formula

E = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot δ Leaf \cdot n \cdot b \cdot t^{3}}

Next Step Substitute values of Variables

∴

E = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 494mm \cdot 8 \cdot 300mm \cdot {460mm}^{3}}

Next Step Convert Units

∴

E = \frac{3 \cdot 85N \cdot {4.17m}^{3}}{8 \cdot 0.494m \cdot 8 \cdot 0.3m \cdot {0.46m}^{3}}

Next Step Prepare to Evaluate

∴

E = \frac{3 \cdot 85 \cdot {4.17}^{3}}{8 \cdot 0.494 \cdot 8 \cdot 0.3 \cdot {0.46}^{3}}

Next Step Evaluate

∴

E = 20028419198.4019Pa

Next Step Convert to Output's Unit

∴

E = 20028.4191984019MPa

LAST Step Rounding Answer

∴

E = 20028.4192MPa

Modulus of Elasticity in Leaf Spring given Deflection 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

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

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 Leaf Spring

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

Symbol: δ_Leaf

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Leaf Spring

Number of Plates

Number of Plates is the count of plates in the leaf spring.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Plates

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

Thickness of Section

Thickness of Section is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Section

Other formulas in For Centrally Loaded Beam category

Go Deflection in Leaf Spring given Load

δ Leaf = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot E \cdot n \cdot b \cdot t^{3}}

Go Load given Deflection in Leaf Spring

W load = \frac{8 \cdot δ Leaf \cdot E \cdot n \cdot b \cdot t^{3}}{3 \cdot L^{3}}

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

Modulus of Elasticity in Leaf Spring given Deflection evaluator uses Young's Modulus = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^3) to evaluate the Young's Modulus, The Modulus of Elasticity in Leaf Spring given Deflection 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 in Leaf Spring given Deflection using this online evaluator? To use this online evaluator for Modulus of Elasticity in Leaf Spring given Deflection, enter Spring Load (W_load), Length in Spring (L), Deflection of Leaf Spring (δ_Leaf), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) and hit the calculate button.

FAQs on Modulus of Elasticity in Leaf Spring given Deflection

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

The formula of Modulus of Elasticity in Leaf Spring given Deflection is expressed as Young's Modulus = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^3). Here is an example- 2.9E-6 = (3*85*4.17^3)/(8*0.494*8*0.3*0.46^3).

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

With Spring Load (W_load), Length in Spring (L), Deflection of Leaf Spring (δ_Leaf), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) we can find Modulus of Elasticity in Leaf Spring given Deflection using the formula - Young's Modulus = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^3).

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

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

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

Modulus of Elasticity in Leaf Spring given Deflection 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 in Leaf Spring given Deflection can be measured.

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Modulus of Elasticity in Leaf Spring given Deflection Formula

Modulus of Elasticity in Leaf Spring given Deflection Example

Modulus of Elasticity in Leaf Spring given Deflection Solution

Modulus of Elasticity in Leaf Spring given Deflection Formula Elements

Other formulas in For Centrally Loaded Beam category

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

FAQs on Modulus of Elasticity in Leaf Spring given Deflection

Variable Name