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Full Yielding Torque in Work Hardening for Hollow Shaft Calculator

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Elastic Work Hardening Material Elastic Perfectly Plastic Materials

✖Yield Shear Stress(non-linear) is the shear stress above the yield point.ⓘ Yield Shear Stress(non-linear) [𝞽_nonlinear]			+10% -10%
✖Outer Radius of Shaft is the external radius of shaft.ⓘ Outer Radius of Shaft [r₂]			+10% -10%
✖Inner Radius of Shaft is the internal radius of shaft.ⓘ Inner Radius of Shaft [r₁]			+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 in Work Hardening for Hollow Shaft [T_f]

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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)
T_f = (2*pi*𝞽_nonlinear*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

T_f = (2*pi*𝞽_nonlinear*r₂^3)/3*(1-(r₁/r₂)^3) --> (2*pi*175000000*0.1^3)/3*(1-(0.04/0.1)^3)

Evaluating ... ...

T_f = 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 ≈ 3.4E+8 Newton Millimeter <-- Full Yielding Torque

(Calculation completed in 00.004 seconds)

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< Elastic Work Hardening Material Calculators

Elasto Plastic Yielding Torque in Work Hardening for Solid Shaft

LaTeX 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

LaTeX 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))

Incipient Yielding Torque in Work Hardening for Hollow Shaft

LaTeX 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

LaTeX 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 Hollow Shaft Formula

LaTeX 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)
T_f = (2*pi*𝞽_nonlinear*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, Full Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the maximum twisting torque that a hollow shaft can withstand without undergoing plastic deformation, which is critical in torsion of bars to ensure structural integrity and prevent failure. Full Yielding Torque is denoted by T_f 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) (𝞽_nonlinear), 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?

Full Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the maximum twisting torque that a hollow shaft can withstand without undergoing plastic deformation, which is critical in torsion of bars to ensure structural integrity and prevent failure and is represented as T_f = (2*pi*𝞽_nonlinear*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?

Full Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the maximum twisting torque that a hollow shaft can withstand without undergoing plastic deformation, which is critical in torsion of bars to ensure structural integrity and prevent failure 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) (𝞽_nonlinear), 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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