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Force Amplitude on Spring given Torsional Stress Amplitude Formula

GoForce Amplitude of Spring Formula

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The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads. Check FAQs

P a = τ a \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot D}

P_a - Spring Force Amplitude?τ_a - Torsional Stress Amplitude in Spring?d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?D - Mean Coil Diameter of Spring?π - Archimedes' constant?

Force Amplitude on Spring given Torsional Stress Amplitude Example

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Here is how the Force Amplitude on Spring given Torsional Stress Amplitude equation looks like with Values.

Here is how the Force Amplitude on Spring given Torsional Stress Amplitude equation looks like with Units.

Here is how the Force Amplitude on Spring given Torsional Stress Amplitude equation looks like.

49.9513 = 77 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 36}

49.9513N = 77N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

49.9513 = 77 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 36}

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Force Amplitude on Spring given Torsional Stress Amplitude Solution

Follow our step by step solution on how to calculate Force Amplitude on Spring given Torsional Stress Amplitude?

FIRST Step Consider the formula

P a = τ a \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot D}

Next Step Substitute values of Variables

∴

P a = 77N/mm² \cdot \frac{π \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

Next Step Substitute values of Constants

∴

P a = 77N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 36mm}

Next Step Convert Units

∴

P a = 7.7E+7Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{8 \cdot 1.08 \cdot 0.036m}

Next Step Prepare to Evaluate

∴

P a = 7.7E+7 \cdot \frac{3.1416 \cdot {0.004}^{3}}{8 \cdot 1.08 \cdot 0.036}

Next Step Evaluate

∴

P a = 49.951286818294N

LAST Step Rounding Answer

∴

P a = 49.9513N

Force Amplitude on Spring given Torsional Stress Amplitude Formula Elements

Variables

Constants

Spring Force Amplitude

The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.

Symbol: P_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Spring Force Amplitude

Torsional Stress Amplitude in Spring

Torsional Stress Amplitude in Spring is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring.

Symbol: τ_a

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Stress Amplitude in Spring

Diameter of Spring Wire

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

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Shear Stress Correction Factor of Spring

Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Stress Correction Factor of Spring

Mean Coil Diameter of Spring

Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

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 Spring Force Amplitude

Go Force Amplitude of Spring

P a = .5 \cdot (P max - P min)

Other formulas in Design Against Fluctuating Load category

Go Mean Force on spring

P m = \frac{P min + P max}{2}

Go Maximum Force on Spring given Mean Force

P max = 2 \cdot P m - P min

Go Minimum Force on Spring given Mean Force

P min = 2 \cdot P m - P max

Go Maximum Force on Spring given Force Amplitude

P max = 2 \cdot P a + P min

How to Evaluate Force Amplitude on Spring given Torsional Stress Amplitude?

Force Amplitude on Spring given Torsional Stress Amplitude evaluator uses Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring) to evaluate the Spring Force Amplitude, Force Amplitude on Spring given Torsional Stress Amplitude formula is defined as a measure of the maximum force exerted on a spring when subjected to torsional stress, providing a critical parameter in designing against fluctuating loads in mechanical systems, ensuring the spring's reliability and performance under dynamic conditions. Spring Force Amplitude is denoted by P_a symbol.

How to evaluate Force Amplitude on Spring given Torsional Stress Amplitude using this online evaluator? To use this online evaluator for Force Amplitude on Spring given Torsional Stress Amplitude, enter Torsional Stress Amplitude in Spring (τ_a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Coil Diameter of Spring (D) and hit the calculate button.

FAQs on Force Amplitude on Spring given Torsional Stress Amplitude

What is the formula to find Force Amplitude on Spring given Torsional Stress Amplitude?

The formula of Force Amplitude on Spring given Torsional Stress Amplitude is expressed as Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring). Here is an example- 49.95129 = 77000000*(pi*0.004004738^3)/(8*1.08*0.036).

How to calculate Force Amplitude on Spring given Torsional Stress Amplitude?

With Torsional Stress Amplitude in Spring (τ_a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Mean Coil Diameter of Spring (D) we can find Force Amplitude on Spring given Torsional Stress Amplitude using the formula - Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring). This formula also uses Archimedes' constant .

What are the other ways to Calculate Spring Force Amplitude?

Here are the different ways to Calculate Spring Force Amplitude-

Spring Force Amplitude=.5*(Maximum Force of Spring-Minimum Force of Spring)

Can the Force Amplitude on Spring given Torsional Stress Amplitude be negative?

No, the Force Amplitude on Spring given Torsional Stress Amplitude, measured in Force cannot be negative.

Which unit is used to measure Force Amplitude on Spring given Torsional Stress Amplitude?

Force Amplitude on Spring given Torsional Stress Amplitude is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force Amplitude on Spring given Torsional Stress Amplitude can be measured.

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: Unit

Force Amplitude on Spring given Torsional Stress Amplitude Formula

​GoForce Amplitude of Spring Formula

Force Amplitude on Spring given Torsional Stress Amplitude Example

Force Amplitude on Spring given Torsional Stress Amplitude Solution

Force Amplitude on Spring given Torsional Stress Amplitude Formula Elements

Other Formulas to find Spring Force Amplitude

Other formulas in Design Against Fluctuating Load category

How to Evaluate Force Amplitude on Spring given Torsional Stress Amplitude?

FAQs on Force Amplitude on Spring given Torsional Stress Amplitude

Variable Name

GoForce Amplitude of Spring Formula