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Axial Loading on Spring given Maximum Shear Stress induced in Wire Formula

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

GoAxial Load on Spring given Deflection of 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{𝜏 s \cdot π \cdot d^{3}}{16 \cdot R}

P - Axial Load?𝜏_s - Maximum Shear Stress on Shaft?d - Diameter of Spring Wire?R - Mean Radius Spring Coil?π - Archimedes' constant?

Axial Loading on Spring given Maximum Shear Stress induced in Wire Example

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Here is how the Axial Loading on Spring given Maximum Shear Stress induced in Wire equation looks like with Values.

Here is how the Axial Loading on Spring given Maximum Shear Stress induced in Wire equation looks like with Units.

Here is how the Axial Loading on Spring given Maximum Shear Stress induced in Wire equation looks like.

1.1E-6 = \frac{0.0001 \cdot 3.1416 \cdot 26^{3}}{16 \cdot 320}

1.1E-6kN = \frac{0.0001MPa \cdot 3.1416 \cdot {26mm}^{3}}{16 \cdot 320mm}

1.1E-6 = \frac{0.0001 \cdot 3.1416 \cdot 26^{3}}{16 \cdot 320}

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Axial Loading on Spring given Maximum Shear Stress induced in Wire Solution

Follow our step by step solution on how to calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire?

FIRST Step Consider the formula

P = \frac{𝜏 s \cdot π \cdot d^{3}}{16 \cdot R}

Next Step Substitute values of Variables

∴

P = \frac{0.0001MPa \cdot π \cdot {26mm}^{3}}{16 \cdot 320mm}

Next Step Substitute values of Constants

∴

P = \frac{0.0001MPa \cdot 3.1416 \cdot {26mm}^{3}}{16 \cdot 320mm}

Next Step Convert Units

∴

P = \frac{100Pa \cdot 3.1416 \cdot {0.026m}^{3}}{16 \cdot 0.32m}

Next Step Prepare to Evaluate

∴

P = \frac{100 \cdot 3.1416 \cdot {0.026}^{3}}{16 \cdot 0.32}

Next Step Evaluate

∴

P = 0.00107844985311512N

Next Step Convert to Output's Unit

∴

P = 1.07844985311512E-06kN

LAST Step Rounding Answer

∴

P = 1.1E-6kN

Axial Loading on Spring given Maximum Shear Stress induced in Wire Formula Elements

Variables

Constants

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

Maximum Shear Stress on Shaft

Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.

Symbol: 𝜏_s

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Shaft

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Deflection of Spring

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

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}

How to Evaluate Axial Loading on Spring given Maximum Shear Stress induced in Wire?

Axial Loading on Spring given Maximum Shear Stress induced in Wire evaluator uses Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil) to evaluate the Axial Load, Axial loading on spring given maximum shear stress induced in wire 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 Loading on Spring given Maximum Shear Stress induced in Wire using this online evaluator? To use this online evaluator for Axial Loading on Spring given Maximum Shear Stress induced in Wire, enter Maximum Shear Stress on Shaft (𝜏_s), Diameter of Spring Wire (d) & Mean Radius Spring Coil (R) and hit the calculate button.

FAQs on Axial Loading on Spring given Maximum Shear Stress induced in Wire

What is the formula to find Axial Loading on Spring given Maximum Shear Stress induced in Wire?

The formula of Axial Loading on Spring given Maximum Shear Stress induced in Wire is expressed as Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil). Here is an example- 1.3E-5 = (100*pi*0.026^3)/(16*0.32).

How to calculate Axial Loading on Spring given Maximum Shear Stress induced in Wire?

With Maximum Shear Stress on Shaft (𝜏_s), Diameter of Spring Wire (d) & Mean Radius Spring Coil (R) we can find Axial Loading on Spring given Maximum Shear Stress induced in Wire using the formula - Axial Load = (Maximum Shear Stress on Shaft*pi*Diameter of Spring Wire^3)/(16*Mean Radius Spring Coil). This formula also uses Archimedes' constant .

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=(Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Mean Radius Spring Coil^3*Number of Coils)
Axial Load=sqrt((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Mean Radius Spring Coil^3*Number of Coils))

Can the Axial Loading on Spring given Maximum Shear Stress induced in Wire be negative?

No, the Axial Loading on Spring given Maximum Shear Stress induced in Wire, measured in Force cannot be negative.

Which unit is used to measure Axial Loading on Spring given Maximum Shear Stress induced in Wire?

Axial Loading on Spring given Maximum Shear Stress induced in Wire is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Axial Loading on Spring given Maximum Shear Stress induced in Wire can be measured.

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Axial Loading on Spring given Maximum Shear Stress induced in Wire Formula

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

​GoAxial Load on Spring given Deflection of Spring Formula

Axial Loading on Spring given Maximum Shear Stress induced in Wire Example

Axial Loading on Spring given Maximum Shear Stress induced in Wire Solution

Axial Loading on Spring given Maximum Shear Stress induced in Wire Formula Elements

Other Formulas to find Axial Load

How to Evaluate Axial Loading on Spring given Maximum Shear Stress induced in Wire?

FAQs on Axial Loading on Spring given Maximum Shear Stress induced in Wire

Variable Name

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

GoAxial Load on Spring given Deflection of Spring Formula