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Load given Deflection of Square Section Wire Spring Formula

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

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

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

Load given Deflection of Square Section Wire Spring Example

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With units

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

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

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

121.7002 = \frac{3.4 \cdot 40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 9}

121.7002N = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 9}

121.7002 = \frac{3.4 \cdot 40 \cdot 45^{4}}{44.7 \cdot 225^{3} \cdot 9}

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Strength of Materials » fx Load given Deflection of Square Section Wire Spring

Load given Deflection of Square Section Wire Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W load = \frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{44.7 \cdot {225mm}^{3} \cdot 9}

Next Step Convert Units

∴

W load = \frac{0.0034m \cdot 4E+10Pa \cdot {0.045m}^{4}}{44.7 \cdot {0.225m}^{3} \cdot 9}

Next Step Prepare to Evaluate

∴

W load = \frac{0.0034 \cdot 4E+10 \cdot {0.045}^{4}}{44.7 \cdot {0.225}^{3} \cdot 9}

Next Step Evaluate

∴

W load = 121.700223713646N

LAST Step Rounding Answer

∴

W load = 121.7002N

Load given Deflection of Square Section Wire 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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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 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}}

Go Number of Coils given Deflection of Square Section Wire Spring

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

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

Load given Deflection of Square Section Wire Spring evaluator uses Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils) to evaluate the Spring Load, The Load given Deflection of Square Section Wire Spring formula is defined as the load applied to get the given deflection. Spring Load is denoted by W_load symbol.

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

FAQs on Load given Deflection of Square Section Wire Spring

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

The formula of Load given Deflection of Square Section Wire Spring is expressed as Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils). Here is an example- 84.97718 = (0.0034*40000000000*0.045^4)/(44.7*0.225^3*9).

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

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

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

Yes, the Load given Deflection of Square Section Wire Spring, measured in Force can be negative.

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

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

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