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Force applied at end of Spring given Deflection at end of Spring Formula

GoForce applied at end of Spring given Force taken by extra full length leaves Formula

GoForce applied at end of Spring given Bending Stress in extra full length leaves Formula

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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. Check FAQs

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

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

Force applied at end of Spring given Deflection at end of Spring Example

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

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

Here is how the Force applied at end of Spring given Deflection at end of Spring equation looks like.

450000.0311 = 37.3353 \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 12^{3}}{500^{3}}

450000.0311N = 37.3353mm \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot {12mm}^{3}}{{500mm}^{3}}

450000.0311 = 37.3353 \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 12^{3}}{500^{3}}

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Force applied at end of Spring given Deflection at end of Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 37.3353mm \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot {12mm}^{3}}{{500mm}^{3}}

Next Step Convert Units

∴

P = 0.0373m \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11Pa \cdot 0.108m \cdot {0.012m}^{3}}{{0.5m}^{3}}

Next Step Prepare to Evaluate

∴

P = 0.0373 \cdot \frac{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11 \cdot 0.108 \cdot {0.012}^{3}}{{0.5}^{3}}

Next Step Evaluate

∴

P = 450000.031065661N

LAST Step Rounding Answer

∴

P = 450000.0311N

Force applied at end of Spring given Deflection at end of Spring Formula Elements

Variables

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

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

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

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

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

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

Other Formulas to find Force Applied at End of Leaf Spring

Go Force applied at end of Spring given Force taken by extra full length leaves

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

Go Force applied at end of Spring given Bending Stress in extra full length leaves

P = σ b f \cdot (3 \cdot n f + 2 \cdot n g) \cdot b \cdot \frac{t^{2}}{18 \cdot L}

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 Force applied at end of Spring given Deflection at end of Spring?

Force applied at end of Spring given Deflection at end of Spring evaluator uses Force Applied at End of Leaf Spring = Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(Length of Cantilever of Leaf Spring^3) to evaluate the Force Applied at End of Leaf Spring, Force applied at end of Spring given Deflection at end of Spring formula is defined as the measure of the force exerted at the end of a spring when it is deflected, which is essential in understanding the spring's behavior under various loads and deformations in mechanical systems. Force Applied at End of Leaf Spring is denoted by P symbol.

How to evaluate Force applied at end of Spring given Deflection at end of Spring using this online evaluator? To use this online evaluator for Force applied at end of Spring given Deflection at end of Spring, enter Deflection at End of Leaf Spring (δ), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), 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 given Deflection at end of Spring

What is the formula to find Force applied at end of Spring given Deflection at end of Spring?

The formula of Force applied at end of Spring given Deflection at end of Spring is expressed as Force Applied at End of Leaf Spring = Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(Length of Cantilever of Leaf Spring^3). Here is an example- 244949 = 0.03733534*((3*3+2*15)*207000000000*0.108*0.012^3)/(0.5^3).

How to calculate Force applied at end of Spring given Deflection at end of Spring?

With Deflection at End of Leaf Spring (δ), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Modulus of Elasticity of Spring (E), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L) we can find Force applied at end of Spring given Deflection at end of Spring using the formula - Force Applied at End of Leaf Spring = Deflection at End of Leaf Spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(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=Force Taken by Full Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(3*Number of Full length Leaves)
Force Applied at End of Leaf Spring=Bending Stress in Full Leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring)

Can the Force applied at end of Spring given Deflection at end of Spring be negative?

No, the Force applied at end of Spring given Deflection at end of Spring, measured in Force cannot be negative.

Which unit is used to measure Force applied at end of Spring given Deflection at end of Spring?

Force applied at end of Spring given Deflection 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 given Deflection at end of Spring can be measured.

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Force applied at end of Spring given Deflection at end of Spring Formula

​GoForce applied at end of Spring given Force taken by extra full length leaves Formula

​GoForce applied at end of Spring given Bending Stress in extra full length leaves Formula

Force applied at end of Spring given Deflection at end of Spring Example

Force applied at end of Spring given Deflection at end of Spring Solution

Force applied at end of Spring given Deflection at end of Spring Formula Elements

Other Formulas to find Force Applied at End of Leaf Spring

Other formulas in Extra Full Length Leaves category

How to Evaluate Force applied at end of Spring given Deflection at end of Spring?

FAQs on Force applied at end of Spring given Deflection at end of Spring

Variable Name

GoForce applied at end of Spring given Force taken by extra full length leaves Formula

GoForce applied at end of Spring given Bending Stress in extra full length leaves Formula