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Full Yielding Torque for Solid Shaft Calculator

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✖Yield Stress in Shear is the yield stress of the shaft in shear conditions.ⓘ Yield Stress in Shear [𝝉₀]			+10% -10%
✖Outer Radius of Shaft is the external radius of shaft.ⓘ Outer Radius of Shaft [r₂]			+10% -10%

✖Full Yielding Torque occurs, When the torque is further increased beyond the elasto-plastic range, the shaft will yield to the full depth of the cross section.ⓘ Full Yielding Torque for Solid Shaft [T_f]

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Full Yielding Torque for Solid Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3
T_f = 2/3*pi*𝝉₀*r₂^3
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Full Yielding Torque - (Measured in Newton Meter) - Full Yielding Torque occurs, When the torque is further increased beyond the elasto-plastic range, the shaft will yield to the full depth of the cross section.
Yield Stress in Shear - (Measured in Pascal) - Yield Stress in Shear is the yield stress of the shaft in shear conditions.
Outer Radius of Shaft - (Measured in Meter) - Outer Radius of Shaft is the external radius of shaft.

STEP 1: Convert Input(s) to Base Unit

Yield Stress in Shear: 145 Megapascal --> 145000000 Pascal (Check conversion here)
Outer Radius of Shaft: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_f = 2/3*pi*𝝉₀*r₂^3 --> 2/3*pi*145000000*0.1^3

Evaluating ... ...

T_f = 303687.289847013

STEP 3: Convert Result to Output's Unit

303687.289847013 Newton Meter -->303687289.847013 Newton Millimeter (Check conversion here)

FINAL ANSWER

303687289.847013 ≈ 3E+8 Newton Millimeter <-- Full Yielding Torque

(Calculation completed in 00.020 seconds)

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< Elastic Perfectly Plastic Materials Calculators

Elasto Plastic Yielding Torque for Hollow Shaft

LaTeX Go Elasto Plastic Yielding Torque = pi*Yield Stress in Shear*(Radius of Plastic Front^3/2*(1-(Inner Radius of Shaft/Radius of Plastic Front)^4)+(2/3*Outer Radius of Shaft^3)*(1-(Radius of Plastic Front/Outer Radius of Shaft)^3))

Incipient Yielding Torque for Hollow Shaft

LaTeX Go Incipient Yielding Torque = pi/2*Outer Radius of Shaft^3*Yield Stress in Shear*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^4)

Full Yielding Torque for Hollow Shaft

LaTeX Go Full Yielding Torque = 2/3*pi*Outer Radius of Shaft^3*Yield Stress in Shear*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3)

Full Yielding Torque for Solid Shaft

LaTeX Go Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3

Full Yielding Torque for Solid Shaft Formula

LaTeX Go

Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3
T_f = 2/3*pi*𝝉₀*r₂^3

What is Full yielding of shaft?

When the torque is further increased
beyond the elasto-plastic range,
the shaft will yield to the full depth of the cross section. Therefore such
a torque is called as Fully plastic torque.

How to Calculate Full Yielding Torque for Solid Shaft?

Full Yielding Torque for Solid Shaft calculator uses Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3 to calculate the Full Yielding Torque, Full Yielding Torque for Solid Shaft formula is defined as the maximum twisting moment that a solid shaft can withstand without undergoing plastic deformation, typically occurring when the shaft is subjected to torsional loading, and is a critical parameter in the design of mechanical components. Full Yielding Torque is denoted by T_f symbol.

How to calculate Full Yielding Torque for Solid Shaft using this online calculator? To use this online calculator for Full Yielding Torque for Solid Shaft, enter Yield Stress in Shear (𝝉₀) & Outer Radius of Shaft (r₂) and hit the calculate button. Here is how the Full Yielding Torque for Solid Shaft calculation can be explained with given input values -> 3E+11 = 2/3*pi*145000000*0.1^3.

FAQ

What is Full Yielding Torque for Solid Shaft?

Full Yielding Torque for Solid Shaft formula is defined as the maximum twisting moment that a solid shaft can withstand without undergoing plastic deformation, typically occurring when the shaft is subjected to torsional loading, and is a critical parameter in the design of mechanical components and is represented as T_f = 2/3*pi*𝝉₀*r₂^3 or Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3. Yield Stress in Shear is the yield stress of the shaft in shear conditions & Outer Radius of Shaft is the external radius of shaft.

How to calculate Full Yielding Torque for Solid Shaft?

Full Yielding Torque for Solid Shaft formula is defined as the maximum twisting moment that a solid shaft can withstand without undergoing plastic deformation, typically occurring when the shaft is subjected to torsional loading, and is a critical parameter in the design of mechanical components is calculated using Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3. To calculate Full Yielding Torque for Solid Shaft, you need Yield Stress in Shear (𝝉₀) & Outer Radius of Shaft (r₂). With our tool, you need to enter the respective value for Yield Stress in Shear & Outer Radius of Shaft 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 Full Yielding Torque?

In this formula, Full Yielding Torque uses Yield Stress in Shear & Outer Radius of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Full Yielding Torque = 2/3*pi*Outer Radius of Shaft^3*Yield Stress in Shear*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3)

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