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

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Torsional moment on Round Shaft is the torque applied to generate a torsion (twist) within the round shaft. Check FAQs
Mtt=τoπdsmall316
Mtt - Torsional moment on Round Shaft?τo - Nominal Torsional Stress for Fluctuating Load?dsmall - 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.

22902.2104Edit=20Edit3.141618Edit316
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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
Mtt=τoπdsmall316
Next Step Substitute values of Variables
Mtt=20N/mm²π18mm316
Next Step Substitute values of Constants
Mtt=20N/mm²3.141618mm316
Next Step Convert Units
Mtt=2E+7Pa3.14160.018m316
Next Step Prepare to Evaluate
Mtt=2E+73.14160.018316
Next Step Evaluate
Mtt=22.9022104446696N*m
Next Step Convert to Output's Unit
Mtt=22902.2104446696N*mm
LAST Step Rounding Answer
Mtt=22902.2104N*mm

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

Variables
Constants
Torsional moment on Round Shaft
Torsional moment on Round Shaft is the torque applied to generate a torsion (twist) within the round shaft.
Symbol: Mtt
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Nominal Torsional Stress for Fluctuating Load
Nominal Torsional Stress for Fluctuating Load is the shear stress that acts on a transverse cross-section which is caused by the action of a twist.
Symbol: τo
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Smaller Diameter of Shaft with Fillet
Smaller Diameter of Shaft with Fillet is the diameter of the smaller round cross-section of a round shaft which has a fillet.
Symbol: dsmall
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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
σo=4Pπdsmall2
​Go Nominal Bending Stress in Round Shaft with Shoulder Fillet
σo=32Mbπdsmall3
​Go Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress
Mb=σoπdsmall332
​Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet
σo=16Mttπdsmall3

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 Mtt 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 o) & Smaller Diameter of Shaft with Fillet (dsmall) 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 o) & Smaller Diameter of Shaft with Fillet (dsmall) 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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