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Full Yielding Torque in Work Hardening for Solid Shaft Formula

GoFull Yielding Torque in Work Hardening for Hollow Shaft Formula

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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. Check FAQs

T f = \frac{2 \cdot π \cdot 𝞽 nonlinear \cdot {r 2}^{3}}{3}

T_f - Full Yielding Torque?𝞽_nonlinear - Yield Shear Stress(non-linear)?r₂ - Outer Radius of Shaft?π - Archimedes' constant?

Full Yielding Torque in Work Hardening for Solid Shaft Example

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Here is how the Full Yielding Torque in Work Hardening for Solid Shaft equation looks like with Values.

Here is how the Full Yielding Torque in Work Hardening for Solid Shaft equation looks like with Units.

Here is how the Full Yielding Torque in Work Hardening for Solid Shaft equation looks like.

3.7E+8 = \frac{2 \cdot 3.1416 \cdot 175 \cdot 100^{3}}{3}

3.7E+8N*mm = \frac{2 \cdot 3.1416 \cdot 175MPa \cdot {100mm}^{3}}{3}

3.7E+8 = \frac{2 \cdot 3.1416 \cdot 175 \cdot 100^{3}}{3}

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Full Yielding Torque in Work Hardening for Solid Shaft Solution

Follow our step by step solution on how to calculate Full Yielding Torque in Work Hardening for Solid Shaft?

FIRST Step Consider the formula

T f = \frac{2 \cdot π \cdot 𝞽 nonlinear \cdot {r 2}^{3}}{3}

Next Step Substitute values of Variables

∴

T f = \frac{2 \cdot π \cdot 175MPa \cdot {100mm}^{3}}{3}

Next Step Substitute values of Constants

∴

T f = \frac{2 \cdot 3.1416 \cdot 175MPa \cdot {100mm}^{3}}{3}

Next Step Convert Units

∴

T f = \frac{2 \cdot 3.1416 \cdot 1.8E+8Pa \cdot {0.1m}^{3}}{3}

Next Step Prepare to Evaluate

∴

T f = \frac{2 \cdot 3.1416 \cdot 1.8E+8 \cdot {0.1}^{3}}{3}

Next Step Evaluate

∴

T f = 366519.142918809N*m

Next Step Convert to Output's Unit

∴

T f = 366519142.918809N*mm

LAST Step Rounding Answer

∴

T f = 3.7E+8N*mm

Full Yielding Torque in Work Hardening for Solid Shaft Formula Elements

Variables

Constants

Full Yielding Torque

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.

Symbol: T_f

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Full Yielding Torque

Yield Shear Stress(non-linear)

Yield Shear Stress(non-linear) is the shear stress above the yield point.

Symbol: 𝞽_nonlinear

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Shear Stress(non-linear)

Outer Radius of Shaft

Outer Radius of Shaft is the external radius of shaft.

Symbol: r₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Full Yielding Torque

Go Full Yielding Torque in Work Hardening for Hollow Shaft

T f = \frac{2 \cdot π \cdot 𝞽 nonlinear \cdot {r 2}^{3}}{3} \cdot (1 - {(\frac{r 1}{r 2})}^{3})

Other formulas in Elastic Work Hardening Material category

Go Nth Polar Moment of Inertia

J n = (\frac{2 \cdot π}{n + 3}) \cdot ({r 2}^{n + 3} - {r 1}^{n + 3})

Go Incipient Yielding Torque in Work Hardening for Hollow Shaft

T i = \frac{𝞽 nonlinear \cdot J n}{{r 2}^{n}}

Go Incipient Yielding Torque in Work Hardening Solid Shaft

T i = \frac{𝞽 nonlinear \cdot J n}{{r 2}^{n}}

Go Elasto Plastic Yielding Torque in Work Hardening for Solid Shaft

T ep = \frac{2 \cdot π \cdot 𝞽 nonlinear \cdot {r 2}^{3}}{3} \cdot (1 - (\frac{n}{n + 3}) \cdot {(\frac{ρ}{r 2})}^{3})

How to Evaluate Full Yielding Torque in Work Hardening for Solid Shaft?

Full Yielding Torque in Work Hardening for Solid Shaft evaluator uses Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3 to evaluate the Full Yielding Torque, Full Yielding Torque in Work Hardening for Solid Shaft formula is defined as the maximum torque that a solid shaft can withstand before it undergoes plastic deformation, which is a critical parameter in the design of mechanical components subjected to torsional loading. Full Yielding Torque is denoted by T_f symbol.

How to evaluate Full Yielding Torque in Work Hardening for Solid Shaft using this online evaluator? To use this online evaluator for Full Yielding Torque in Work Hardening for Solid Shaft, enter Yield Shear Stress(non-linear) (𝞽_nonlinear) & Outer Radius of Shaft (r₂) and hit the calculate button.

FAQs on Full Yielding Torque in Work Hardening for Solid Shaft

What is the formula to find Full Yielding Torque in Work Hardening for Solid Shaft?

The formula of Full Yielding Torque in Work Hardening for Solid Shaft is expressed as Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3. Here is an example- 3.7E+11 = (2*pi*175000000*0.1^3)/3.

How to calculate Full Yielding Torque in Work Hardening for Solid Shaft?

With Yield Shear Stress(non-linear) (𝞽_nonlinear) & Outer Radius of Shaft (r₂) we can find Full Yielding Torque in Work Hardening for Solid Shaft using the formula - Full Yielding Torque = (2*pi*Yield Shear Stress(non-linear)*Outer Radius of Shaft^3)/3. This formula also uses Archimedes' constant .

What are the other ways to Calculate Full Yielding Torque?

Here are the different ways to Calculate Full Yielding Torque-

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)

Can the Full Yielding Torque in Work Hardening for Solid Shaft be negative?

No, the Full Yielding Torque in Work Hardening for Solid Shaft, measured in Torque cannot be negative.

Which unit is used to measure Full Yielding Torque in Work Hardening for Solid Shaft?

Full Yielding Torque in Work Hardening for Solid Shaft is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Full Yielding Torque in Work Hardening for Solid Shaft can be measured.

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Full Yielding Torque in Work Hardening for Solid Shaft Formula

​GoFull Yielding Torque in Work Hardening for Hollow Shaft Formula

Full Yielding Torque in Work Hardening for Solid Shaft Example

Full Yielding Torque in Work Hardening for Solid Shaft Solution

Full Yielding Torque in Work Hardening for Solid Shaft Formula Elements

Other Formulas to find Full Yielding Torque

Other formulas in Elastic Work Hardening Material category

How to Evaluate Full Yielding Torque in Work Hardening for Solid Shaft?

FAQs on Full Yielding Torque in Work Hardening for Solid Shaft

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GoFull Yielding Torque in Work Hardening for Hollow Shaft Formula