Shear Stress Factor for Spring given Torsional stress amplitude Calculator

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Design Against Fluctuating Load

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✖Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.ⓘ Mean Shear Stress in Spring [σ_m]			+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%
✖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%

✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Shear Stress Factor for Spring given Torsional stress amplitude [K]

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Formula

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Shear Stress Factor for Spring given Torsional stress amplitude

Formula

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

Example

`"2.169493"="156N/mm²"*(pi*("4mm")^3)/(8*"50.2N"*"36mm")`

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Shear Stress Factor for Spring given Torsional stress amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)
K = σ_m*(pi*d^3)/(8*P_a*D)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wahl Factor of Spring - Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.
Mean Shear Stress in Spring - (Measured in Pascal) - Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Shear Stress in Spring: 156 Newton per Square Millimeter --> 156000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = σ_m*(pi*d^3)/(8*P_a*D) --> 156000000*(pi*0.004^3)/(8*50.2*0.036)

Evaluating ... ...

K = 2.16949293474992

STEP 3: Convert Result to Output's Unit

2.16949293474992 --> No Conversion Required

FINAL ANSWER

2.16949293474992 ≈ 2.169493 <-- Wahl Factor of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Design Against Fluctuating Load » Shear Stress Factor for Spring given Torsional stress amplitude

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

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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

Shear Stress Factor for Spring given Torsional stress amplitude Formula

Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)
K = σ_m*(pi*d^3)/(8*P_a*D)

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 Shear Stress Factor for Spring given Torsional stress amplitude?

Shear Stress Factor for Spring given Torsional stress amplitude calculator uses Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring) to calculate the Wahl Factor of Spring, Shear Stress Factor for Spring given Torsional stress amplitude is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium. Wahl Factor of Spring is denoted by K symbol.

How to calculate Shear Stress Factor for Spring given Torsional stress amplitude using this online calculator? To use this online calculator for Shear Stress Factor for Spring given Torsional stress amplitude, enter Mean Shear Stress in Spring (σ_m), Diameter of spring wire (d), Spring Force Amplitude (P_a) & Mean Coil Diameter of Spring (D) and hit the calculate button. Here is how the Shear Stress Factor for Spring given Torsional stress amplitude calculation can be explained with given input values -> 2.169493 = 156000000*(pi*0.004^3)/(8*50.2*0.036).

FAQ

What is Shear Stress Factor for Spring given Torsional stress amplitude?

Shear Stress Factor for Spring given Torsional stress amplitude is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium and is represented as K = σ_m*(pi*d^3)/(8*P_a*D) or Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring). Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress, Diameter of spring wire is the diameter of the wire of which a spring is made, 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.

How to calculate Shear Stress Factor for Spring given Torsional stress amplitude?

Shear Stress Factor for Spring given Torsional stress amplitude is defined as the comparing the strain energies of the average shear stresses with those obtained from the equilibrium is calculated using Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring). To calculate Shear Stress Factor for Spring given Torsional stress amplitude, you need Mean Shear Stress in Spring (σ_m), Diameter of spring wire (d), Spring Force Amplitude (P_a) & Mean Coil Diameter of Spring (D). With our tool, you need to enter the respective value for Mean Shear Stress in Spring, Diameter of spring wire, Spring Force Amplitude & 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.

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