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Width given Deflection in Leaf Spring Formula

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

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

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

Width given Deflection in Leaf Spring Example

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

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

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

300.4263 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 494 \cdot 20000 \cdot 8 \cdot 460^{3}}

300.4263mm = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 494mm \cdot 20000MPa \cdot 8 \cdot {460mm}^{3}}

300.4263 = \frac{3 \cdot 85 \cdot 4170^{3}}{8 \cdot 494 \cdot 20000 \cdot 8 \cdot 460^{3}}

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Width given Deflection in Leaf Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{3 \cdot 85N \cdot {4170mm}^{3}}{8 \cdot 494mm \cdot 20000MPa \cdot 8 \cdot {460mm}^{3}}

Next Step Convert Units

∴

b = \frac{3 \cdot 85N \cdot {4.17m}^{3}}{8 \cdot 0.494m \cdot 20000MPa \cdot 8 \cdot {0.46m}^{3}}

Next Step Prepare to Evaluate

∴

b = \frac{3 \cdot 85 \cdot {4.17}^{3}}{8 \cdot 0.494 \cdot 20000 \cdot 8 \cdot {0.46}^{3}}

Next Step Evaluate

∴

b = 0.300426287976029m

Next Step Convert to Output's Unit

∴

b = 300.426287976029mm

LAST Step Rounding Answer

∴

b = 300.4263mm

Width given Deflection in Leaf Spring Formula Elements

Variables

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

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

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

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

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

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 Width given Deflection in Leaf Spring?

Width given Deflection in Leaf Spring evaluator uses Width of Cross Section = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Thickness of Section^3) to evaluate the Width of Cross Section, The Width given Deflection in Leaf Spring formula is defined as the width of the cross-section of any plate of the spring assembly. Width of Cross Section is denoted by b symbol.

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

FAQs on Width given Deflection in Leaf Spring

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

The formula of Width given Deflection in Leaf Spring is expressed as Width of Cross Section = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Thickness of Section^3). Here is an example- 4.4E+7 = (3*85*4.17^3)/(8*0.494*20000000000*8*0.46^3).

How to calculate Width given Deflection in Leaf Spring?

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

Can the Width given Deflection in Leaf Spring be negative?

No, the Width given Deflection in Leaf Spring, measured in Length cannot be negative.

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

Width given Deflection in Leaf Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width given Deflection in Leaf Spring can be measured.

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Width given Deflection in Leaf Spring Formula

Width given Deflection in Leaf Spring Example

Width given Deflection in Leaf Spring Solution

Width given Deflection in Leaf Spring Formula Elements

Other formulas in For Centrally Loaded Beam category

How to Evaluate Width given Deflection in Leaf Spring?

FAQs on Width given Deflection in Leaf Spring

Variable Name