Full Yielding Torque in Work Hardening for Hollow Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3)
Tf = (2*pi*๐žฝnonlinear*r2^3)/3*(1-(r1/r2)^3)
This formula uses 1 Constants, 4 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 Shear Stress(non-linear) - (Measured in Pascal) - Yield Shear Stress(non-linear) is the shear stress above the yield point.
Outer Radius of Shaft - (Measured in Meter) - Outer Radius of Shaft is the external radius of shaft.
Inner Radius of Shaft - (Measured in Meter) - Inner Radius of Shaft is the internal radius of shaft.
STEP 1: Convert Input(s) to Base Unit
Yield Shear Stress(non-linear): 175 Megapascal --> 175000000 Pascal (Check conversion here)
Outer Radius of Shaft: 100 Millimeter --> 0.1 Meter (Check conversion here)
Inner Radius of Shaft: 40 Millimeter --> 0.04 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tf = (2*pi*๐žฝnonlinear*r2^3)/3*(1-(r1/r2)^3) --> (2*pi*175000000*0.1^3)/3*(1-(0.04/0.1)^3)
Evaluating ... ...
Tf = 343061.917772005
STEP 3: Convert Result to Output's Unit
343061.917772005 Newton Meter -->343061917.772005 Newton Millimeter (Check conversion here)
FINAL ANSWER
343061917.772005 โ‰ˆ 3.4E+8 Newton Millimeter <-- Full Yielding Torque
(Calculation completed in 00.004 seconds)

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7 Elastic Work Hardening Material Calculators

Elasto Plastic Yielding Torque in Work Hardening for Hollow Shaft
Go Elasto Plastic Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*((3*Radius of Plastic Front^3)/(Outer Radius of Shaft^3*(Material Constant+3))-(3/(Material Constant+3))*(Inner Radius of Shaft/Radius of Plastic Front)^Material Constant*(Inner Radius of Shaft/Outer Radius of Shaft)^3+1-(Radius of Plastic Front/Outer Radius of Shaft)^3)
Elasto Plastic Yielding Torque in Work Hardening for Solid Shaft
Go Elasto Plastic Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Material Constant/(Material Constant+3))*(Radius of Plastic Front/Outer Radius of Shaft)^3)
Nth Polar Moment of Inertia
Go Nth Polar Moment of Inertia = ((2*pi)/(Material Constant+3))*(Outer Radius of Shaft^(Material Constant+3)-Inner Radius of Shaft^(Material Constant+3))
Full Yielding Torque in Work Hardening for Hollow Shaft
Go Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3)
Incipient Yielding Torque in Work Hardening for Hollow Shaft
Go Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant
Incipient Yielding Torque in Work Hardening Solid Shaft
Go Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant
Full Yielding Torque in Work Hardening for Solid Shaft
Go Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3

Full Yielding Torque in Work Hardening for Hollow Shaft Formula

Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3)
Tf = (2*pi*๐žฝnonlinear*r2^3)/3*(1-(r1/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 in Work Hardening for Hollow Shaft?

Full Yielding Torque in Work Hardening for Hollow Shaft calculator uses Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3) to calculate the Full Yielding Torque, The Full Yielding Torque in work hardening for hollow 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 in Work Hardening for Hollow Shaft using this online calculator? To use this online calculator for Full Yielding Torque in Work Hardening for Hollow Shaft, enter Yield Shear Stress(non-linear) (๐žฝnonlinear), Outer Radius of Shaft (r2) & Inner Radius of Shaft (r1) and hit the calculate button. Here is how the Full Yielding Torque in Work Hardening for Hollow Shaft calculation can be explained with given input values -> 3.4E+11 = (2*pi*175000000*0.1^3)/3*(1-(0.04/0.1)^3).

FAQ

What is Full Yielding Torque in Work Hardening for Hollow Shaft?
The Full Yielding Torque in work hardening for hollow 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*pi*๐žฝnonlinear*r2^3)/3*(1-(r1/r2)^3) or Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3). Yield Shear Stress(non-linear) is the shear stress above the yield point, Outer Radius of Shaft is the external radius of shaft & Inner Radius of Shaft is the internal radius of shaft.
How to calculate Full Yielding Torque in Work Hardening for Hollow Shaft?
The Full Yielding Torque in work hardening for hollow 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*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3*(1-(Inner Radius of Shaft/Outer Radius of Shaft)^3). To calculate Full Yielding Torque in Work Hardening for Hollow Shaft, you need Yield Shear Stress(non-linear) (๐žฝnonlinear), Outer Radius of Shaft (r2) & Inner Radius of Shaft (r1). With our tool, you need to enter the respective value for Yield Shear Stress(non-linear), Outer Radius of Shaft & Inner 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 Shear Stress(non-linear), Outer Radius of Shaft & Inner Radius of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3
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