Incipient Yielding Torque in Work Hardening for Hollow Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant
Ti = (𝞽nonlinear*Jn)/r2^n
This formula uses 5 Variables
Variables Used
Incipient Yielding Torque - (Measured in Newton Meter) - Incipient Yielding Torque, In this stage, the shaft regains its original configuration upon the removal of torque. The stresses are assumed to be fully recovered.
Yield Shear Stress(non-linear) - (Measured in Pascal) - Yield Shear Stress(non-linear) is the shear stress above the yield point.
Nth Polar Moment of Inertia - (Measured in Meter⁴) - Nth Polar Moment of Inertia can be defined as Integral arising from nonlinear behaviour of material.
Outer Radius of Shaft - (Measured in Meter) - Outer Radius of Shaft is the external radius of shaft.
Material Constant - Material Constant is the constant used when the beam yielded plastically.
STEP 1: Convert Input(s) to Base Unit
Yield Shear Stress(non-linear): 175 Megapascal --> 175000000 Pascal (Check conversion ​here)
Nth Polar Moment of Inertia: 5800 Millimeter⁴ --> 5.8E-09 Meter⁴ (Check conversion ​here)
Outer Radius of Shaft: 100 Millimeter --> 0.1 Meter (Check conversion ​here)
Material Constant: 0.25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ti = (𝞽nonlinear*Jn)/r2^n --> (175000000*5.8E-09)/0.1^0.25
Evaluating ... ...
Ti = 1.80495360118951
STEP 3: Convert Result to Output's Unit
1.80495360118951 Newton Meter -->1804.95360118951 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
1804.95360118951 1804.954 Newton Millimeter <-- Incipient 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
​ 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))
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

Incipient Yielding Torque in Work Hardening for Hollow Shaft Formula

​Go
Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant
Ti = (𝞽nonlinear*Jn)/r2^n

What is Incipient Yielding in shafts?

In this stage, the shaft regains its original configuration upon the removal of torque. The stresses are assumed to be fully recovered. Shear stress follows a linear law with zero stress at the neutral axis, and maximum stress at the outermost fibre.

How to Calculate Incipient Yielding Torque in Work Hardening for Hollow Shaft?

Incipient Yielding Torque in Work Hardening for Hollow Shaft calculator uses Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant to calculate the Incipient Yielding Torque, Incipient Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the measure of the torque at which a hollow shaft begins to undergo plastic deformation due to twisting, providing a critical value for designing and analyzing shafts in mechanical systems. Incipient Yielding Torque is denoted by Ti symbol.

How to calculate Incipient Yielding Torque in Work Hardening for Hollow Shaft using this online calculator? To use this online calculator for Incipient Yielding Torque in Work Hardening for Hollow Shaft, enter Yield Shear Stress(non-linear) (𝞽nonlinear), Nth Polar Moment of Inertia (Jn), Outer Radius of Shaft (r2) & Material Constant (n) and hit the calculate button. Here is how the Incipient Yielding Torque in Work Hardening for Hollow Shaft calculation can be explained with given input values -> 1.8E+6 = (175000000*5.8E-09)/0.1^0.25.

FAQ

What is Incipient Yielding Torque in Work Hardening for Hollow Shaft?
Incipient Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the measure of the torque at which a hollow shaft begins to undergo plastic deformation due to twisting, providing a critical value for designing and analyzing shafts in mechanical systems and is represented as Ti = (𝞽nonlinear*Jn)/r2^n or Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant. Yield Shear Stress(non-linear) is the shear stress above the yield point, Nth Polar Moment of Inertia can be defined as Integral arising from nonlinear behaviour of material, Outer Radius of Shaft is the external radius of shaft & Material Constant is the constant used when the beam yielded plastically.
How to calculate Incipient Yielding Torque in Work Hardening for Hollow Shaft?
Incipient Yielding Torque in Work Hardening for Hollow Shaft formula is defined as the measure of the torque at which a hollow shaft begins to undergo plastic deformation due to twisting, providing a critical value for designing and analyzing shafts in mechanical systems is calculated using Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant. To calculate Incipient Yielding Torque in Work Hardening for Hollow Shaft, you need Yield Shear Stress(non-linear) (𝞽nonlinear), Nth Polar Moment of Inertia (Jn), Outer Radius of Shaft (r2) & Material Constant (n). With our tool, you need to enter the respective value for Yield Shear Stress(non-linear), Nth Polar Moment of Inertia, Outer Radius of Shaft & Material Constant 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 Incipient Yielding Torque?
In this formula, Incipient Yielding Torque uses Yield Shear Stress(non-linear), Nth Polar Moment of Inertia, Outer Radius of Shaft & Material Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Incipient Yielding Torque = (Yield Shear Stress(non-linear)*Nth Polar Moment of Inertia)/Outer Radius of Shaft^Material Constant
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