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Modulus of Elasticity given Initial Nip of Spring Formula

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Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it. Check FAQs

E = 2 \cdot P \cdot \frac{L^{3}}{C \cdot n \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?C - Nip in Leaf Spring?n - Total Number of Leaves?b - Width of Leaf?t - Thickness of Leaf?

Modulus of Elasticity given Initial Nip of Spring Example

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Here is how the Modulus of Elasticity given Initial Nip of Spring equation looks like with Values.

Here is how the Modulus of Elasticity given Initial Nip of Spring equation looks like with Units.

Here is how the Modulus of Elasticity given Initial Nip of Spring equation looks like.

206727.1461 = 2 \cdot 37500 \cdot \frac{500^{3}}{13.5 \cdot 18 \cdot 108 \cdot 12^{3}}

206727.1461N/mm² = 2 \cdot 37500N \cdot \frac{{500mm}^{3}}{13.5mm \cdot 18 \cdot 108mm \cdot {12mm}^{3}}

206727.1461 = 2 \cdot 37500 \cdot \frac{500^{3}}{13.5 \cdot 18 \cdot 108 \cdot 12^{3}}

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Home » Physics » Mechanical » Design of Automobile Elements » Modulus of Elasticity given Initial Nip of Spring

Modulus of Elasticity given Initial Nip of Spring Solution

Follow our step by step solution on how to calculate Modulus of Elasticity given Initial Nip of Spring?

FIRST Step Consider the formula

E = 2 \cdot P \cdot \frac{L^{3}}{C \cdot n \cdot b \cdot t^{3}}

Next Step Substitute values of Variables

∴

E = 2 \cdot 37500N \cdot \frac{{500mm}^{3}}{13.5mm \cdot 18 \cdot 108mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

E = 2 \cdot 37500N \cdot \frac{{0.5m}^{3}}{0.0135m \cdot 18 \cdot 0.108m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

E = 2 \cdot 37500 \cdot \frac{{0.5}^{3}}{0.0135 \cdot 18 \cdot 0.108 \cdot {0.012}^{3}}

Next Step Evaluate

∴

E = 206727146099.003Pa

Next Step Convert to Output's Unit

∴

E = 206727.146099003N/mm²

LAST Step Rounding Answer

∴

E = 206727.1461N/mm²

Modulus of Elasticity given Initial Nip of Spring Formula Elements

Variables

Modulus of Elasticity of Spring

Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Force Applied at End of Leaf Spring

Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Length of Cantilever of Leaf Spring

The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Nip in Leaf Spring

Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.

Symbol: C

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Total Number of Leaves

Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

Thickness of Leaf

Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Credits

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other formulas in Nipping of Leaf Spring category

Go Initial Nip in Leaf Spring

C = 2 \cdot P \cdot \frac{L^{3}}{E \cdot n \cdot b \cdot t^{3}}

Go Force Applied at End of Spring

P = C \cdot \frac{E \cdot n \cdot b \cdot (t^{3})}{2 \cdot (L^{3})}

See More

How to Evaluate Modulus of Elasticity given Initial Nip of Spring?

Modulus of Elasticity given Initial Nip of Spring evaluator uses Modulus of Elasticity of Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Nip in Leaf Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3) to evaluate the Modulus of Elasticity of Spring, The Modulus of Elasticity given Initial Nip of Spring formula is defined as measure of object's or substance's resistance to being deformed elastically when stress is applied. Modulus of Elasticity of Spring is denoted by E symbol.

How to evaluate Modulus of Elasticity given Initial Nip of Spring using this online evaluator? To use this online evaluator for Modulus of Elasticity given Initial Nip of Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Nip in Leaf Spring (C), Total Number of Leaves (n), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Modulus of Elasticity given Initial Nip of Spring

What is the formula to find Modulus of Elasticity given Initial Nip of Spring?

The formula of Modulus of Elasticity given Initial Nip of Spring is expressed as Modulus of Elasticity of Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Nip in Leaf Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3). Here is an example- 0.206727 = 2*37500*0.5^3/(0.0135*18*0.108*0.012^3).

How to calculate Modulus of Elasticity given Initial Nip of Spring?

With Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Nip in Leaf Spring (C), Total Number of Leaves (n), Width of Leaf (b) & Thickness of Leaf (t) we can find Modulus of Elasticity given Initial Nip of Spring using the formula - Modulus of Elasticity of Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Nip in Leaf Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3).

Can the Modulus of Elasticity given Initial Nip of Spring be negative?

No, the Modulus of Elasticity given Initial Nip of Spring, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Elasticity given Initial Nip of Spring?

Modulus of Elasticity given Initial Nip 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 given Initial Nip of Spring can be measured.

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