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Force Applied at End of Spring Formula

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GoForce Applied at End of Spring given Pre-Load Required to Close Gap Formula

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

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

P - Force Applied at End of Leaf Spring?C - Nip in Leaf Spring?E - Modulus of Elasticity of Spring?n - Total Number of Leaves?b - Width of Leaf?t - Thickness of Leaf?L - Length of Cantilever of Leaf Spring?

Force Applied at End of Spring Example

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With units

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Here is how the Force Applied at End of Spring equation looks like with Values.

Here is how the Force Applied at End of Spring equation looks like with Units.

Here is how the Force Applied at End of Spring equation looks like.

37549.4953 = 13.5 \cdot \frac{207000 \cdot 18 \cdot 108 \cdot (12^{3})}{2 \cdot (500^{3})}

37549.4953N = 13.5mm \cdot \frac{207000N/mm² \cdot 18 \cdot 108mm \cdot ({12mm}^{3})}{2 \cdot ({500mm}^{3})}

37549.4953 = 13.5 \cdot \frac{207000 \cdot 18 \cdot 108 \cdot (12^{3})}{2 \cdot (500^{3})}

Tip: Use pencil () icon above to edit Input Values and Units.

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Home » Physics » Mechanical » Design of Automobile Elements » Force Applied at End of Spring

Force Applied at End of Spring Solution

Follow our step by step solution on how to calculate Force Applied at End of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 13.5mm \cdot \frac{207000N/mm² \cdot 18 \cdot 108mm \cdot ({12mm}^{3})}{2 \cdot ({500mm}^{3})}

Next Step Convert Units

∴

P = 0.0135m \cdot \frac{2.1E+11Pa \cdot 18 \cdot 0.108m \cdot ({0.012m}^{3})}{2 \cdot ({0.5m}^{3})}

Next Step Prepare to Evaluate

∴

P = 0.0135 \cdot \frac{2.1E+11 \cdot 18 \cdot 0.108 \cdot ({0.012}^{3})}{2 \cdot ({0.5}^{3})}

Next Step Evaluate

∴

P = 37549.495296N

LAST Step Rounding Answer

∴

P = 37549.4953N

Force Applied at End of Spring Formula Elements

Variables

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.

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.

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.

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.

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.

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 to find Force Applied at End of Leaf Spring

Go Force Applied at End of Spring given Pre-Load Required to Close Gap

P = P i \cdot \frac{n \cdot (3 \cdot n f + 2 \cdot n g)}{2 \cdot n g \cdot n f}

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 Length of Cantilever given Initial Nip of Leaf Spring

L = {(C \cdot \frac{E \cdot n \cdot b \cdot t^{3}}{2 \cdot P})}^{\frac{1}{3}}

See More

How to Evaluate Force Applied at End of Spring?

Force Applied at End of Spring evaluator uses Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3)) to evaluate the Force Applied at End of Leaf Spring, The Force Applied at End of Spring formula is defined as the total amount of net force acting at the end of leaf Spring. Force Applied at End of Leaf Spring is denoted by P symbol.

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

FAQs on Force Applied at End of Spring

What is the formula to find Force Applied at End of Spring?

The formula of Force Applied at End of Spring is expressed as Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3)). Here is an example- 37549.5 = 0.0135*(207000000000*18*0.108*(0.012^3))/(2*(0.5^3)).

How to calculate Force Applied at End of Spring?

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

What are the other ways to Calculate Force Applied at End of Leaf Spring?

Here are the different ways to Calculate Force Applied at End of Leaf Spring-

Force Applied at End of Leaf Spring=Pre Load for Leaf Spring*(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))/(2*Number of Graduated Length Leaves*Number of Full length Leaves)

Can the Force Applied at End of Spring be negative?

No, the Force Applied at End of Spring, measured in Force cannot be negative.

Which unit is used to measure Force Applied at End of Spring?

Force Applied at End of Spring is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force Applied at End of Spring can be measured.

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