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Deflection of leaf Spring at load point Formula

GoDeflection at end of leaf Spring 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 = 4 \cdot P g \cdot \frac{L^{3}}{E \cdot n g \cdot b \cdot t^{3}}

δ - Deflection at End of Leaf Spring?P_g - Force Taken by Graduated Length Leaves?L - Length of Cantilever of Leaf Spring?E - Modulus of Elasticity of Spring?n_g - Number of Graduated Length Leaves?b - Width of Leaf?t - Thickness of Leaf?

Deflection of leaf Spring at load point Example

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

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

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

37.3353 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 108 \cdot 12^{3}}

37.3353mm = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 108mm \cdot {12mm}^{3}}

37.3353 = 4 \cdot 43269.23 \cdot \frac{500^{3}}{207000 \cdot 15 \cdot 108 \cdot 12^{3}}

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Deflection of leaf Spring at load point Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = 4 \cdot 43269.23N \cdot \frac{{500mm}^{3}}{207000N/mm² \cdot 15 \cdot 108mm \cdot {12mm}^{3}}

Next Step Convert Units

∴

δ = 4 \cdot 43269.23N \cdot \frac{{0.5m}^{3}}{2.1E+11Pa \cdot 15 \cdot 0.108m \cdot {0.012m}^{3}}

Next Step Prepare to Evaluate

∴

δ = 4 \cdot 43269.23 \cdot \frac{{0.5}^{3}}{2.1E+11 \cdot 15 \cdot 0.108 \cdot {0.012}^{3}}

Next Step Evaluate

∴

δ = 0.037335336758823m

Next Step Convert to Output's Unit

∴

δ = 37.335336758823mm

LAST Step Rounding Answer

∴

δ = 37.3353mm

Deflection of leaf Spring at load point 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 Taken by Graduated Length Leaves

Force Taken by Graduated Length Leaves is the force exerted by graduated length leaves on an object, measured in a specific unit of measurement.

Symbol: P_g

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Taken by Graduated Length Leaves

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

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

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

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 at end of leaf Spring

δ = 12 \cdot P \cdot \frac{L^{3}}{(3 \cdot n f + 2 \cdot n g) \cdot E \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 of leaf Spring at load point?

Deflection of leaf Spring at load point evaluator uses 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) to evaluate the Deflection at End of Leaf Spring, Deflection of leaf Spring at load point formula is defined as a measure of the maximum displacement of a leaf spring from its original position when a load is applied, providing insight into the spring's stiffness and ability to withstand external forces in various mechanical systems. Deflection at End of Leaf Spring is denoted by δ symbol.

How to evaluate Deflection of leaf Spring at load point using this online evaluator? To use this online evaluator for Deflection of leaf Spring at load point, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button.

FAQs on Deflection of leaf Spring at load point

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

The formula of Deflection of leaf Spring at load point is expressed as 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). Here is an example- 68589.39 = 4*43269.23*0.5^3/(207000000000*15*0.108*0.012^3).

How to calculate Deflection of leaf Spring at load point?

With Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) we can find Deflection of leaf Spring at load point using the formula - 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).

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=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)

Can the Deflection of leaf Spring at load point be negative?

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

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

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

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Deflection of leaf Spring at load point Formula

​GoDeflection at end of leaf Spring Formula

Deflection of leaf Spring at load point Example

Deflection of leaf Spring at load point Solution

Deflection of leaf Spring at load point Formula Elements

Other Formulas to find Deflection at End of Leaf Spring

Other formulas in Extra Full Length Leaves category

How to Evaluate Deflection of leaf Spring at load point?

FAQs on Deflection of leaf Spring at load point

Variable Name

GoDeflection at end of leaf Spring Formula