Torsional Stress Amplitude in Spring Calculator

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Design Against Fluctuating Load

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Stress and Deflections in Springs

✖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%
✖The 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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Formula

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Torsional Stress Amplitude in Spring

Formula

`"τ"_{"a"} = 8*"K"_{"s"}*"P"_{"a"}*"D"/(pi*"d"^3)`

Example

`"77.6587N/mm²"=8*"1.08"*"50.2N"*"36mm"/(pi*("4mm")^3)`

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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) - The 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 Millimeter --> 0.004 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*0.004^3)

Evaluating ... ...

τ_a = 77658699.5520318

STEP 3: Convert Result to Output's Unit

77658699.5520318 Pascal -->77.6586995520318 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

77.6586995520318 ≈ 77.6587 Newton per Square Millimeter <-- Torsional Stress Amplitude in Spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 22 Design Against Fluctuating Load Calculators

Diameter of Spring Wire given Torsional Stress Amplitude

Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3)

Mean Coil Diameter of Spring given Torsional Stress Amplitude

Go Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

Force Amplitude on Spring given Torsional Stress Amplitude

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)

Torsional Stress Amplitude in Spring

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)

Diameter of Spring Wire given Mean Stress in Spring

Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3)

Mean Diameter of Spring coil given Mean Stress on Spring

Go Mean Coil Diameter of Spring = (Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))

Shear Stress Correction Factor for Spring given Mean Stress

Go Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring)

Mean Force on Spring given Mean Stress

Go Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)

Spring Index given Torsional Stress Amplitude

Go Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

Mean Stress on Spring

Go Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)

Shear Stress Factor for Spring given Torsional stress amplitude

Go Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)

Spring Index given Mean Stress on spring

Go Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)

Force Amplitude of Spring

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

Minimum Force on Spring given Force Amplitude

Go Minimum Force of Spring = Maximum Force of Spring-(2*Spring Force Amplitude)

Maximum Force on Spring given Force Amplitude

Go Maximum Force of Spring = 2*Spring Force Amplitude+Minimum Force of Spring

Mean Force on spring

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

Maximum Force on Spring given Mean Force

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

Minimum Force on Spring given Mean Force

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

Ultimate Tensile Stress of Patented and Cold drawn Steel wires

Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.42

Shear Yield Strength of Patented and Cold-drawn Steel Wires

Go Shear yield strength of spring wire = 0.42*Ultimate tensile strength of spring

Ultimate Tensile Stress of Ol hardened tempered Steel wires

Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.45

Shear Yield Strength of Oil-hardened Tempered Steel Wires

Go Shear yield strength of spring wire = 0.45*Ultimate tensile strength of spring

Torsional Stress Amplitude in Spring 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)
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 is defined as the effect of stress concentration due to curvature in addition to direct shear stress onto a spring. 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 -> 7.8E-5 = 8*1.08*50.2*0.036/(pi*0.004^3).

FAQ

What is 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 onto a spring 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, The 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 is defined as the effect of stress concentration due to curvature in addition to direct shear stress onto a spring 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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