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Deflection at end of leaf Spring Formula

GoDeflection of leaf Spring at load point Formula

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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. Check FAQs

δ = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot b \cdot t^{3}}

δ - Deflection at End of Leaf Spring?P - Force Applied at End of Leaf Spring?L - Length of Cantilever 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?

Deflection at end of leaf Spring Example

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Here is how the Deflection at end of leaf Spring equation looks like with Values.

Here is how the Deflection at end of leaf Spring equation looks like with Units.

Here is how the Deflection at end of leaf Spring equation looks like.

37.3353 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 12^{3}}

37.3353mm = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot {12mm}^{3}}

37.3353 = 12 \cdot 37500 \cdot \frac{500^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000 \cdot 108 \cdot 12^{3}}

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Deflection at end of leaf Spring Solution

Follow our step by step solution on how to calculate Deflection at end of leaf Spring?

FIRST Step Consider the formula

δ = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \cdot b \cdot t^{3}}

Next Step Substitute values of Variables

∴

δ = 12 \cdot 37500N \cdot \frac{{500mm}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 207000N/mm² \cdot 108mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

δ = 12 \cdot 37500N \cdot \frac{{0.5m}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11Pa \cdot 0.108m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

δ = 12 \cdot 37500 \cdot \frac{{0.5}^{3}}{(3 \cdot 3 + 2 \cdot 15) \cdot 2.1E+11 \cdot 0.108 \cdot {0.012}^{3}}

Next Step Evaluate

∴

δ = 0.0373353374225623m

Next Step Convert to Output's Unit

∴

δ = 37.3353374225623mm

LAST Step Rounding Answer

∴

δ = 37.3353mm

Deflection at end of leaf Spring Formula Elements

Variables

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

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

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

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

Other Formulas to find Deflection at End of Leaf Spring

Go Deflection of leaf Spring at load point

δ = 4 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot b \cdot t^{3}}

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 Deflection at end of leaf Spring?

Deflection at end of leaf Spring evaluator uses Deflection at End of Leaf Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3) to evaluate the Deflection at End of Leaf Spring, Deflection at end of leaf Spring formula is defined as a measure of the maximum displacement of the leaf spring's free end from its original position when a load is applied, providing insight into the spring's stiffness and ability to withstand external forces. Deflection at End of Leaf Spring is denoted by δ symbol.

How to evaluate Deflection at end of leaf Spring using this online evaluator? To use this online evaluator for Deflection at end of leaf Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), 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) and hit the calculate button.

FAQs on Deflection at end of leaf Spring

What is the formula to find Deflection at end of leaf Spring?

The formula of Deflection at end of leaf Spring is expressed as Deflection at End of Leaf Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3). Here is an example- 37335.34 = 12*37500*(0.5^3)/((3*3+2*15)*207000000000*0.108*0.012^3).

How to calculate Deflection at end of leaf Spring?

With Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), 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) we can find Deflection at end of leaf Spring using the formula - Deflection at End of Leaf Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3).

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

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

Deflection at End of Leaf Spring=4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Can the Deflection at end of leaf Spring be negative?

No, the Deflection at end of leaf Spring, measured in Length cannot be negative.

Which unit is used to measure Deflection at end of leaf Spring?

Deflection at end of leaf Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection at end of leaf Spring can be measured.

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Deflection at end of leaf Spring Formula

​GoDeflection of leaf Spring at load point Formula

Deflection at end of leaf Spring Example

Deflection at end of leaf Spring Solution

Deflection at end of leaf Spring Formula Elements

Other Formulas to find Deflection at End of Leaf Spring

Other formulas in Extra Full Length Leaves category

How to Evaluate Deflection at end of leaf Spring?

FAQs on Deflection at end of leaf Spring

Variable Name

GoDeflection of leaf Spring at load point Formula