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
Tf = 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
Tf = 2/3*pi*𝝉0*r2^3 --> 2/3*pi*145000000*0.1^3
Evaluating ... ...
Tf = 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 00.004 seconds)

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6 Elastic Perfectly Plastic Materials Calculators

Elasto Plastic Yielding Torque for Hollow Shaft
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))
Elasto Plastic Yielding Torque for Solid Shaft
Go Elasto Plastic Yielding Torque = 2/3*pi*Outer Radius of Shaft^3*Yield Stress in Shear*(1-1/4*(Radius of Plastic Front/Outer Radius of Shaft)^3)
Incipient Yielding Torque for Hollow Shaft
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
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)
Incipient Yielding Torque for Solid Shaft
Go Incipient Yielding Torque = (pi*Outer Radius of Shaft^3*Yield Stress in Shear)/2
Full Yielding Torque for Solid Shaft
Go Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3

Full Yielding Torque for Solid Shaft Formula

Full Yielding Torque = 2/3*pi*Yield Stress in Shear*Outer Radius of Shaft^3
Tf = 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, The Full Yielding Torque for solid shaft formula is defined as 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. Full Yielding Torque is denoted by Tf 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?
The Full Yielding Torque for solid shaft formula is defined as 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 and is represented as Tf = 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?
The Full Yielding Torque for solid shaft formula is defined as 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 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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