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Axial Load on Spring given Deflection of Spring Formula

GoAxial Load of Spring for given Deflection and Stiffness of Spring Formula

GoAxial Load on Spring given Strain Energy Stored by Spring Formula

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Axial Load is defined as applying a force on a structure directly along an axis of the structure. Check FAQs

P = \frac{U \cdot G \cdot d^{4}}{64 \cdot R^{3} \cdot N}

P - Axial Load?U - Strain Energy?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?R - Mean Radius Spring Coil?N - Number of Coils?

Axial Load on Spring given Deflection of Spring Example

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Here is how the Axial Load on Spring given Deflection of Spring equation looks like with Values.

Here is how the Axial Load on Spring given Deflection of Spring equation looks like with Units.

Here is how the Axial Load on Spring given Deflection of Spring equation looks like.

2.179 = \frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 2}

2.179kN = \frac{5KJ \cdot 4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 2}

2.179 = \frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot 320^{3} \cdot 2}

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Axial Load on Spring given Deflection of Spring Solution

Follow our step by step solution on how to calculate Axial Load on Spring given Deflection of Spring?

FIRST Step Consider the formula

P = \frac{U \cdot G \cdot d^{4}}{64 \cdot R^{3} \cdot N}

Next Step Substitute values of Variables

∴

P = \frac{5KJ \cdot 4MPa \cdot {26mm}^{4}}{64 \cdot {320mm}^{3} \cdot 2}

Next Step Convert Units

∴

P = \frac{5000J \cdot 4E+6Pa \cdot {0.026m}^{4}}{64 \cdot {0.32m}^{3} \cdot 2}

Next Step Prepare to Evaluate

∴

P = \frac{5000 \cdot 4E+6 \cdot {0.026}^{4}}{64 \cdot {0.32}^{3} \cdot 2}

Next Step Evaluate

∴

P = 2179.03137207031N

Next Step Convert to Output's Unit

∴

P = 2.17903137207031kN

LAST Step Rounding Answer

∴

P = 2.179kN

Axial Load on Spring given Deflection of Spring Formula Elements

Variables

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Other Formulas to find Axial Load

Go Axial Load of Spring for given Deflection and Stiffness of Spring

P = k \cdot δ

Go Axial Load on Spring given Strain Energy Stored by Spring

P = \sqrt{\frac{U \cdot G \cdot d^{4}}{32 \cdot R^{3} \cdot N}}

Go Axial Load on Spring given Work Done on Spring

P = \frac{2 \cdot w}{δ}

Go Axial Loading on Spring

P = \frac{D}{R}

How to Evaluate Axial Load on Spring given Deflection of Spring?

Axial Load on Spring given Deflection of Spring evaluator uses Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils) to evaluate the Axial Load, Axial load on spring given deflection of spring is defined as applying a force on a structure directly along an axis of the structure. Axial Load is denoted by P symbol.

How to evaluate Axial Load on Spring given Deflection of Spring using this online evaluator? To use this online evaluator for Axial Load on Spring given Deflection of Spring, enter Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N) and hit the calculate button.

FAQs on Axial Load on Spring given Deflection of Spring

What is the formula to find Axial Load on Spring given Deflection of Spring?

The formula of Axial Load on Spring given Deflection of Spring is expressed as Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils). Here is an example- 617.981 = (5000*4000000*0.026^4)/(64*0.32^3*2).

How to calculate Axial Load on Spring given Deflection of Spring?

With Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Mean Radius Spring Coil (R) & Number of Coils (N) we can find Axial Load on Spring given Deflection of Spring using the formula - Axial Load = (Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils).

What are the other ways to Calculate Axial Load?

Here are the different ways to Calculate Axial Load-

Axial Load=Stiffness of Helical Spring*Deflection of Spring
Axial Load=sqrt((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Mean Radius Spring Coil^3*Number of Coils))
Axial Load=(2*Work Done)/Deflection of Spring

Can the Axial Load on Spring given Deflection of Spring be negative?

No, the Axial Load on Spring given Deflection of Spring, measured in Force cannot be negative.

Which unit is used to measure Axial Load on Spring given Deflection of Spring?

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

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Axial Load on Spring given Deflection of Spring Formula

​GoAxial Load of Spring for given Deflection and Stiffness of Spring Formula

​GoAxial Load on Spring given Strain Energy Stored by Spring Formula

Axial Load on Spring given Deflection of Spring Example

Axial Load on Spring given Deflection of Spring Solution

Axial Load on Spring given Deflection of Spring Formula Elements

Other Formulas to find Axial Load

How to Evaluate Axial Load on Spring given Deflection of Spring?

FAQs on Axial Load on Spring given Deflection of Spring

Variable Name

GoAxial Load of Spring for given Deflection and Stiffness of Spring Formula

GoAxial Load on Spring given Strain Energy Stored by Spring Formula