Torsional Stress Amplitude in Spring Calculator

✖Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.ⓘ Shear Stress Correction Factor of Spring [K_s]			+10% -10%
✖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.ⓘ Spring Force Amplitude [P_a]			+10% -10%
✖Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Diameter of Spring Wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire [d]			+10% -10%

✖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.ⓘ Torsional Stress Amplitude in Spring [τ_a]

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Torsional Stress Amplitude in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
τ_a = 8*K_s*P_a*D/(pi*d^3)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Stress Amplitude in Spring - (Measured in Pascal) - 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.
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.
Spring Force Amplitude - (Measured in Newton) - 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.
Mean Coil Diameter of Spring - (Measured in Meter) - Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.

STEP 1: Convert Input(s) to Base Unit

Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Spring Force Amplitude: 50.2 Newton --> 50.2 Newton No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Diameter of Spring Wire: 4.004738 Millimeter --> 0.004004738 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_a = 8*K_s*P_a*D/(pi*d^3) --> 8*1.08*50.2*0.036/(pi*0.004004738^3)

Evaluating ... ...

τ_a = 77383391.8245395

STEP 3: Convert Result to Output's Unit

77383391.8245395 Pascal -->77.3833918245395 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

77.3833918245395 ≈ 77.38339 Newton per Square Millimeter <-- Torsional Stress Amplitude in Spring

(Calculation completed in 00.015 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Design Against Fluctuating Load Calculators

Force Amplitude of Spring

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

Mean Force on spring

LaTeX Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2

Maximum Force on Spring given Mean Force

LaTeX Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring

Minimum Force on Spring given Mean Force

LaTeX Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring

Torsional Stress Amplitude in Spring Formula

LaTeX Go

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)
τ_a = 8*K_s*P_a*D/(pi*d^3)

Define Stress Factor?

The stiffness is defined as the load per unit deflection. In order to take into account the effect of direct shear and change in coil curvature a stress factor is defined, which is known as Wahl's factor.

How to Calculate Torsional Stress Amplitude in Spring?

Torsional Stress Amplitude in Spring calculator 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 calculate 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 calculate Torsional Stress Amplitude in Spring using this online calculator? To use this online calculator 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. Here is how the Torsional Stress Amplitude in Spring calculation can be explained with given input values -> 7.7E-5 = 8*1.08*49.95129*0.036/(pi*0.004004738^3).

FAQ

What is 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 and is represented as τ_a = 8*K_s*P_a*D/(pi*d^3) or 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). Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium, 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, Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring & Diameter of Spring Wire is the diameter of the wire of which a spring is made.

How to calculate 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 is calculated using 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 calculate Torsional Stress Amplitude in Spring, you need Shear Stress Correction Factor of Spring (K_s), Spring Force Amplitude (P_a), Mean Coil Diameter of Spring (D) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Shear Stress Correction Factor of Spring, Spring Force Amplitude, Mean Coil Diameter of Spring & Diameter of Spring Wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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