FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Deflection given Proof Load in Quarter Elliptical Spring Formula

Fx Copy

LaTeX Copy

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

δ = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot n \cdot t^{3} \cdot b}

δ - Deflection of Spring?W_{O (Elliptical Spring)} - Proof Load on Elliptical Spring?L - Length in Spring?E - Young's Modulus?n - Number of Plates?t - Thickness of Section?b - Width of Cross Section?

Deflection given Proof Load in Quarter Elliptical Spring Example

With values

With units

Only example

Here is how the Deflection given Proof Load in Quarter Elliptical Spring equation looks like with Values.

Here is how the Deflection given Proof Load in Quarter Elliptical Spring equation looks like with Units.

Here is how the Deflection given Proof Load in Quarter Elliptical Spring equation looks like.

3.4455 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 8 \cdot 460^{3} \cdot 300}

3.4455mm = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 8 \cdot {460mm}^{3} \cdot 300mm}

3.4455 = \frac{6 \cdot 37 \cdot 4170^{3}}{20000 \cdot 8 \cdot 460^{3} \cdot 300}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Deflection given Proof Load in Quarter Elliptical Spring

Deflection given Proof Load in Quarter Elliptical Spring Solution

Follow our step by step solution on how to calculate Deflection given Proof Load in Quarter Elliptical Spring?

FIRST Step Consider the formula

δ = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot n \cdot t^{3} \cdot b}

Next Step Substitute values of Variables

∴

δ = \frac{6 \cdot 37kN \cdot {4170mm}^{3}}{20000MPa \cdot 8 \cdot {460mm}^{3} \cdot 300mm}

Next Step Convert Units

∴

δ = \frac{6 \cdot 37000N \cdot {4.17m}^{3}}{2E+10Pa \cdot 8 \cdot {0.46m}^{3} \cdot 0.3m}

Next Step Prepare to Evaluate

∴

δ = \frac{6 \cdot 37000 \cdot {4.17}^{3}}{2E+10 \cdot 8 \cdot {0.46}^{3} \cdot 0.3}

Next Step Evaluate

∴

δ = 0.00344545361043191m

Next Step Convert to Output's Unit

∴

δ = 3.44545361043191mm

LAST Step Rounding Answer

∴

δ = 3.4455mm

Deflection given Proof Load in Quarter Elliptical Spring Formula Elements

Variables

Deflection of Spring

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

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Proof Load on Elliptical Spring

Proof Load on Elliptical Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.

Symbol: W_{O (Elliptical Spring)}

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Proof Load on Elliptical Spring

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

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

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

Other formulas in Quarter Elliptical Springs category

Go Proof Load in Quarter Elliptical Spring

W O (Elliptical Spring) = \frac{E \cdot n \cdot b \cdot t^{3} \cdot δ}{6 \cdot L^{3}}

Go Number of Plates given Proof Load in Quarter Elliptical Spring

n = \frac{6 \cdot W O (Elliptical Spring) \cdot L^{3}}{E \cdot b \cdot t^{3} \cdot δ}

How to Evaluate Deflection given Proof Load in Quarter Elliptical Spring?

Deflection given Proof Load in Quarter Elliptical Spring evaluator uses Deflection of Spring = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section) to evaluate the Deflection of Spring, The Deflection given Proof Load in Quarter Elliptical Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

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

FAQs on Deflection given Proof Load in Quarter Elliptical Spring

What is the formula to find Deflection given Proof Load in Quarter Elliptical Spring?

The formula of Deflection given Proof Load in Quarter Elliptical Spring is expressed as Deflection of Spring = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section). Here is an example- 3445.454 = (6*37000*4.17^3)/(20000000000*8*0.46^3*0.3).

How to calculate Deflection given Proof Load in Quarter Elliptical Spring?

With Proof Load on Elliptical Spring (W_{O (Elliptical Spring)}), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Thickness of Section (t) & Width of Cross Section (b) we can find Deflection given Proof Load in Quarter Elliptical Spring using the formula - Deflection of Spring = (6*Proof Load on Elliptical Spring*Length in Spring^3)/(Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section).

Can the Deflection given Proof Load in Quarter Elliptical Spring be negative?

No, the Deflection given Proof Load in Quarter Elliptical Spring, measured in Length cannot be negative.

Which unit is used to measure Deflection given Proof Load in Quarter Elliptical Spring?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Deflection given Proof Load in Quarter Elliptical Spring Formula

Deflection given Proof Load in Quarter Elliptical Spring Example

Deflection given Proof Load in Quarter Elliptical Spring Solution

Deflection given Proof Load in Quarter Elliptical Spring Formula Elements

Other formulas in Quarter Elliptical Springs category

How to Evaluate Deflection given Proof Load in Quarter Elliptical Spring?

FAQs on Deflection given Proof Load in Quarter Elliptical Spring

Variable Name