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Torsional Stress Amplitude in Spring Formula

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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. Check FAQs

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

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

Torsional Stress Amplitude in Spring Example

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Here is how the Torsional Stress Amplitude in Spring equation looks like with Values.

Here is how the Torsional Stress Amplitude in Spring equation looks like with Units.

Here is how the Torsional Stress Amplitude in Spring equation looks like.

77.3834 = 8 \cdot 1.08 \cdot 50.2 \cdot \frac{36}{3.1416 \cdot {4.0047}^{3}}

77.3834N/mm² = 8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{3.1416 \cdot {4.0047mm}^{3}}

77.3834 = 8 \cdot 1.08 \cdot 50.2 \cdot \frac{36}{3.1416 \cdot {4.0047}^{3}}

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Torsional Stress Amplitude in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ a = 8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{π \cdot {4.0047mm}^{3}}

Next Step Substitute values of Constants

∴

τ a = 8 \cdot 1.08 \cdot 50.2N \cdot \frac{36mm}{3.1416 \cdot {4.0047mm}^{3}}

Next Step Convert Units

∴

τ a = 8 \cdot 1.08 \cdot 50.2N \cdot \frac{0.036m}{3.1416 \cdot {0.004m}^{3}}

Next Step Prepare to Evaluate

∴

τ a = 8 \cdot 1.08 \cdot 50.2 \cdot \frac{0.036}{3.1416 \cdot {0.004}^{3}}

Next Step Evaluate

∴

τ a = 77383391.8245395Pa

Next Step Convert to Output's Unit

∴

τ a = 77.3833918245395N/mm²

LAST Step Rounding Answer

∴

τ a = 77.3834N/mm²

Torsional Stress Amplitude in Spring Formula Elements

Variables

Constants

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

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

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

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

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

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 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 Force Amplitude of Spring

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

How to Evaluate Torsional Stress Amplitude in Spring?

Torsional Stress Amplitude in Spring evaluator uses Torsional Stress Amplitude in Spring = 8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Diameter of Spring Wire^3) to evaluate the Torsional Stress Amplitude in Spring, Torsional Stress Amplitude in Spring formula is defined as a measure of the maximum stress experienced by a spring under fluctuating loads, providing a critical design parameter to ensure the spring's reliability and performance in various applications. Torsional Stress Amplitude in Spring is denoted by τ_a symbol.

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

FAQs on Torsional Stress Amplitude in Spring

What is the formula to find Torsional Stress Amplitude in Spring?

The formula of Torsional Stress Amplitude in Spring is expressed as Torsional Stress Amplitude in Spring = 8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Diameter of Spring Wire^3). Here is an example- 7.7E-5 = 8*1.08*49.95129*0.036/(pi*0.004004738^3).

How to calculate Torsional Stress Amplitude in Spring?

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

Can the Torsional Stress Amplitude in Spring be negative?

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

Which unit is used to measure Torsional Stress Amplitude in Spring?

Torsional Stress Amplitude in Spring is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Torsional Stress Amplitude in Spring can be measured.

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Torsional Stress Amplitude in Spring Formula

Torsional Stress Amplitude in Spring Example

Torsional Stress Amplitude in Spring Solution

Torsional Stress Amplitude in Spring Formula Elements

Other formulas in Design Against Fluctuating Load category

How to Evaluate Torsional Stress Amplitude in Spring?

FAQs on Torsional Stress Amplitude in Spring

Variable Name