Force Amplitude on Spring given Torsional Stress Amplitude Calculator

✖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]			+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%
✖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%
✖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%

✖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.ⓘ Force Amplitude on Spring given Torsional Stress Amplitude [P_a]

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Force Amplitude on Spring given Torsional Stress Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Diameter of Spring Wire - (Measured in Meter) - Diameter of Spring Wire is the diameter of the wire of which a spring is made.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torsional Stress Amplitude in Spring: 77 Newton per Square Millimeter --> 77000000 Pascal (Check conversion here)
Diameter of Spring Wire: 4.004738 Millimeter --> 0.004004738 Meter (Check conversion here)
Shear Stress Correction Factor of Spring: 1.08 --> No Conversion Required
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_a = τ_a*(pi*d^3)/(8*K_s*D) --> 77000000*(pi*0.004004738^3)/(8*1.08*0.036)

Evaluating ... ...

P_a = 49.951286818294

STEP 3: Convert Result to Output's Unit

49.951286818294 Newton --> No Conversion Required

FINAL ANSWER

49.951286818294 ≈ 49.95129 Newton <-- Spring Force Amplitude

(Calculation completed in 00.020 seconds)

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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

Force Amplitude on Spring given Torsional Stress Amplitude Formula

LaTeX Go

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)
P_a = τ_a*(pi*d^3)/(8*K_s*D)

Define Force Amplitude?

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

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

Force Amplitude on Spring given Torsional Stress Amplitude calculator 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 calculate 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 calculate Force Amplitude on Spring given Torsional Stress Amplitude using this online calculator? To use this online calculator 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. Here is how the Force Amplitude on Spring given Torsional Stress Amplitude calculation can be explained with given input values -> 49.95129 = 77000000*(pi*0.004004738^3)/(8*1.08*0.036).

FAQ

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

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

How many ways are there to calculate Spring Force Amplitude?

In this formula, Spring Force Amplitude uses Torsional Stress Amplitude in Spring, Diameter of Spring Wire, Shear Stress Correction Factor of Spring & Mean Coil Diameter of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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