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Width given Deflection of Square Section Wire Spring Formula

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Diameter of Spring wire is the diameter of the wire from which a spring is made. Check FAQs

d = {(\frac{44.7 \cdot W load \cdot R^{3} \cdot N}{δ \cdot G Torsion})}^{\frac{1}{4}}

d - Diameter of Spring?W_load - Spring Load?R - Mean Radius?N - Number of Coils?δ - Deflection of Spring?G_Torsion - Modulus of Rigidity?

Width given Deflection of Square Section Wire Spring Example

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Here is how the Width given Deflection of Square Section Wire Spring equation looks like with Values.

Here is how the Width given Deflection of Square Section Wire Spring equation looks like with Units.

Here is how the Width given Deflection of Square Section Wire Spring equation looks like.

41.1381 = {(\frac{44.7 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 40})}^{\frac{1}{4}}

41.1381mm = {(\frac{44.7 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot 40GPa})}^{\frac{1}{4}}

41.1381 = {(\frac{44.7 \cdot 85 \cdot 225^{3} \cdot 9}{3.4 \cdot 40})}^{\frac{1}{4}}

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Width given Deflection of Square Section Wire Spring Solution

Follow our step by step solution on how to calculate Width given Deflection of Square Section Wire Spring?

FIRST Step Consider the formula

d = {(\frac{44.7 \cdot W load \cdot R^{3} \cdot N}{δ \cdot G Torsion})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(\frac{44.7 \cdot 85N \cdot {225mm}^{3} \cdot 9}{3.4mm \cdot 40GPa})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{44.7 \cdot 85N \cdot {0.225m}^{3} \cdot 9}{0.0034m \cdot 4E+10Pa})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{44.7 \cdot 85 \cdot {0.225}^{3} \cdot 9}{0.0034 \cdot 4E+10})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.0411381162470735m

Next Step Convert to Output's Unit

∴

d = 41.1381162470735mm

LAST Step Rounding Answer

∴

d = 41.1381mm

Width given Deflection of Square Section Wire Spring Formula Elements

Variables

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

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

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

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

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Other formulas in Spring of Square Section Wire category

Go Deflection of Square Section Wire Spring

δ = \frac{44.7 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

Go Load given Deflection of Square Section Wire Spring

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot N}

Go Mean radius given Deflection of Square Section Wire Spring

R = {(\frac{δ \cdot G Torsion \cdot d^{4}}{44.7 \cdot W load \cdot N})}^{\frac{1}{3}}

Go Modulus of Rigidity using Deflection of Square Section Wire Spring

G Torsion = \frac{44.7 \cdot W load \cdot R^{3} \cdot N}{δ \cdot d^{4}}

How to Evaluate Width given Deflection of Square Section Wire Spring?

Width given Deflection of Square Section Wire Spring evaluator uses Diameter of Spring = ((44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Modulus of Rigidity))^(1/4) to evaluate the Diameter of Spring, The Width given Deflection of Square Section Wire Spring formula is defined as the width of the cross-section of the spring assembly. Diameter of Spring is denoted by d symbol.

How to evaluate Width given Deflection of Square Section Wire Spring using this online evaluator? To use this online evaluator for Width given Deflection of Square Section Wire Spring, enter Spring Load (W_load), Mean Radius (R), Number of Coils (N), Deflection of Spring (δ) & Modulus of Rigidity (G_Torsion) and hit the calculate button.

FAQs on Width given Deflection of Square Section Wire Spring

What is the formula to find Width given Deflection of Square Section Wire Spring?

The formula of Width given Deflection of Square Section Wire Spring is expressed as Diameter of Spring = ((44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Modulus of Rigidity))^(1/4). Here is an example- 45003.02 = ((44.7*85*0.225^3*9)/(0.0034*40000000000))^(1/4).

How to calculate Width given Deflection of Square Section Wire Spring?

With Spring Load (W_load), Mean Radius (R), Number of Coils (N), Deflection of Spring (δ) & Modulus of Rigidity (G_Torsion) we can find Width given Deflection of Square Section Wire Spring using the formula - Diameter of Spring = ((44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Modulus of Rigidity))^(1/4).

Can the Width given Deflection of Square Section Wire Spring be negative?

No, the Width given Deflection of Square Section Wire Spring, measured in Length cannot be negative.

Which unit is used to measure Width given Deflection of Square Section Wire Spring?

Width given Deflection of Square Section Wire 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 of Square Section Wire Spring can be measured.

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Width given Deflection of Square Section Wire Spring Formula

Width given Deflection of Square Section Wire Spring Example

Width given Deflection of Square Section Wire Spring Solution

Width given Deflection of Square Section Wire Spring Formula Elements

Other formulas in Spring of Square Section Wire category

How to Evaluate Width given Deflection of Square Section Wire Spring?

FAQs on Width given Deflection of Square Section Wire Spring

Variable Name