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Load given Deflection in Leaf Spring Formula

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Spring Load is the instantaneous load applied perpendicular to the specimen cross section. Check FAQs

W load = \frac{8 \cdot δ Leaf \cdot E \cdot n \cdot b \cdot t^{3}}{3 \cdot L^{3}}

W_load - Spring Load?δ_Leaf - Deflection of Leaf Spring?E - Young's Modulus?n - Number of Plates?b - Width of Cross Section?t - Thickness of Section?L - Length in Spring?

Load given Deflection in Leaf Spring Example

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Here is how the Load given Deflection in Leaf Spring equation looks like with Values.

Here is how the Load given Deflection in Leaf Spring equation looks like with Units.

Here is how the Load given Deflection in Leaf Spring equation looks like.

84.8794 = \frac{8 \cdot 494 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3}}{3 \cdot 4170^{3}}

84.8794N = \frac{8 \cdot 494mm \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3}}{3 \cdot {4170mm}^{3}}

84.8794 = \frac{8 \cdot 494 \cdot 20000 \cdot 8 \cdot 300 \cdot 460^{3}}{3 \cdot 4170^{3}}

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Load given Deflection in Leaf Spring Solution

Follow our step by step solution on how to calculate Load given Deflection in Leaf Spring?

FIRST Step Consider the formula

W load = \frac{8 \cdot δ Leaf \cdot E \cdot n \cdot b \cdot t^{3}}{3 \cdot L^{3}}

Next Step Substitute values of Variables

∴

W load = \frac{8 \cdot 494mm \cdot 20000MPa \cdot 8 \cdot 300mm \cdot {460mm}^{3}}{3 \cdot {4170mm}^{3}}

Next Step Convert Units

∴

W load = \frac{8 \cdot 0.494m \cdot 20000MPa \cdot 8 \cdot 0.3m \cdot {0.46m}^{3}}{3 \cdot {4.17m}^{3}}

Next Step Prepare to Evaluate

∴

W load = \frac{8 \cdot 0.494 \cdot 20000 \cdot 8 \cdot 0.3 \cdot {0.46}^{3}}{3 \cdot {4.17}^{3}}

Next Step Evaluate

∴

W load = 84.8793897890676N

LAST Step Rounding Answer

∴

W load = 84.8794N

Load given Deflection in Leaf Spring Formula Elements

Variables

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

Deflection of Leaf Spring

Deflection of Leaf Spring is how a spring responds when force is applied or released.

Symbol: δ_Leaf

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Leaf Spring

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Number of Plates

Number of Plates is the count of plates in the leaf spring.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Plates

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

Thickness of Section

Thickness of Section is the dimension through an object, as opposed to length or width.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Section

Length in Spring

Length in Spring is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Length in Spring

Other formulas in For Centrally Loaded Beam category

Go Deflection in Leaf Spring given Load

δ Leaf = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot E \cdot n \cdot b \cdot t^{3}}

Go Modulus of Elasticity in Leaf Spring given Deflection

E = \frac{3 \cdot W load \cdot L^{3}}{8 \cdot δ Leaf \cdot n \cdot b \cdot t^{3}}

How to Evaluate Load given Deflection in Leaf Spring?

Load given Deflection in Leaf Spring evaluator uses Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3) to evaluate the Spring Load, The Load given Deflection in Leaf Spring formula is defined as the force acting at the centroid of the spring that causes the deflection given. Spring Load is denoted by W_load symbol.

How to evaluate Load given Deflection in Leaf Spring using this online evaluator? To use this online evaluator for Load given Deflection in Leaf Spring, enter Deflection of Leaf Spring (δ_Leaf), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Length in Spring (L) and hit the calculate button.

FAQs on Load given Deflection in Leaf Spring

What is the formula to find Load given Deflection in Leaf Spring?

The formula of Load given Deflection in Leaf Spring is expressed as Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3). Here is an example- 0.58419 = (8*0.494*20000000000*8*0.3*0.46^3)/(3*4.17^3).

How to calculate Load given Deflection in Leaf Spring?

With Deflection of Leaf Spring (δ_Leaf), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Length in Spring (L) we can find Load given Deflection in Leaf Spring using the formula - Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3).

Can the Load given Deflection in Leaf Spring be negative?

Yes, the Load given Deflection in Leaf Spring, measured in Force can be negative.

Which unit is used to measure Load given Deflection in Leaf Spring?

Load given Deflection in Leaf Spring is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load given Deflection in Leaf Spring can be measured.

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Load given Deflection in Leaf Spring Formula

Load given Deflection in Leaf Spring Example

Load given Deflection in Leaf Spring Solution

Load given Deflection in Leaf Spring Formula Elements

Other formulas in For Centrally Loaded Beam category

How to Evaluate Load given Deflection in Leaf Spring?

FAQs on Load given Deflection in Leaf Spring

Variable Name