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Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula

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The Torsional Moment on Round Shaft is the measure of the twisting force applied to a cylindrical shaft, influencing its ability to withstand torque without failing. Check FAQs

M t = \frac{τ o \cdot π \cdot {d small}^{3}}{16}

M_t - Torsional Moment on Round Shaft?τ_o - Nominal Torsional Stress for Fluctuating Load?d_small - Smaller Diameter of Shaft with Fillet?π - Archimedes' constant?

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Example

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Here is how the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like with Values.

Here is how the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like with Units.

Here is how the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like.

36942.5657 = \frac{20 \cdot 3.1416 \cdot {21.11}^{3}}{16}

36942.5657N*mm = \frac{20N/mm² \cdot 3.1416 \cdot {21.11mm}^{3}}{16}

36942.5657 = \frac{20 \cdot 3.1416 \cdot {21.11}^{3}}{16}

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Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Solution

Follow our step by step solution on how to calculate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

FIRST Step Consider the formula

M t = \frac{τ o \cdot π \cdot {d small}^{3}}{16}

Next Step Substitute values of Variables

∴

M t = \frac{20N/mm² \cdot π \cdot {21.11mm}^{3}}{16}

Next Step Substitute values of Constants

∴

M t = \frac{20N/mm² \cdot 3.1416 \cdot {21.11mm}^{3}}{16}

Next Step Convert Units

∴

M t = \frac{2E+7Pa \cdot 3.1416 \cdot {0.0211m}^{3}}{16}

Next Step Prepare to Evaluate

∴

M t = \frac{2E+7 \cdot 3.1416 \cdot {0.0211}^{3}}{16}

Next Step Evaluate

∴

M t = 36.9425657012172N*m

Next Step Convert to Output's Unit

∴

M t = 36942.5657012172N*mm

LAST Step Rounding Answer

∴

M t = 36942.5657N*mm

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula Elements

Variables

Constants

Torsional Moment on Round Shaft

The Torsional Moment on Round Shaft is the measure of the twisting force applied to a cylindrical shaft, influencing its ability to withstand torque without failing.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment on Round Shaft

Nominal Torsional Stress for Fluctuating Load

The Nominal Torsional Stress for Fluctuating Load is the average stress experienced by a material when subjected to varying torsional forces, crucial for assessing structural integrity.

Symbol: τ_o

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Nominal Torsional Stress for Fluctuating Load

Smaller Diameter of Shaft with Fillet

The Smaller Diameter of Shaft with Fillet is the reduced diameter at the fillet radius, which influences stress concentration and overall strength in mechanical design.

Symbol: d_small

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Smaller Diameter of Shaft with Fillet

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 in Round Shaft against Fluctuating Loads category

Go Nominal Tensile Stress in Round Shaft with Shoulder Fillet

σ o = \frac{4 \cdot P}{π \cdot {d small}^{2}}

Go Nominal Bending Stress in Round Shaft with Shoulder Fillet

σ o = \frac{32 \cdot M b}{π \cdot {d small}^{3}}

Go Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress

M b = \frac{σ o \cdot π \cdot {d small}^{3}}{32}

Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet

σ o = \frac{16 \cdot M t}{π \cdot {d small}^{3}}

How to Evaluate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress evaluator uses Torsional Moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16 to evaluate the Torsional Moment on Round Shaft, Torsional Moment in Round shaft with Shoulder fillet given Nominal stress is the amount of torsional moment in the round shaft with shoulder fillet with stress concentration arising due to the forces acting such that to twist the round shaft. Torsional Moment on Round Shaft is denoted by M_t symbol.

How to evaluate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress using this online evaluator? To use this online evaluator for Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress, enter Nominal Torsional Stress for Fluctuating Load (τ_o) & Smaller Diameter of Shaft with Fillet (d_small) and hit the calculate button.

FAQs on Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress

What is the formula to find Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

The formula of Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress is expressed as Torsional Moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16. Here is an example- 3.7E+7 = (20000000*pi*0.02111004^3)/16.

How to calculate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

With Nominal Torsional Stress for Fluctuating Load (τ_o) & Smaller Diameter of Shaft with Fillet (d_small) we can find Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress using the formula - Torsional Moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16. This formula also uses Archimedes' constant .

Can the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress be negative?

No, the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress 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 Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress can be measured.

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Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Example

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Solution

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula Elements

Other formulas in Round Shaft against Fluctuating Loads category

How to Evaluate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

FAQs on Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress

Variable Name