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

✖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.ⓘ Nominal Torsional Stress for Fluctuating Load [τ_o]			+10% -10%
✖Smaller Diameter of Shaft with Fillet is the diameter of the smaller round cross-section of a round shaft which has a fillet.ⓘ Smaller Diameter of Shaft with Fillet [d_small]			+10% -10%

✖Torsional moment on Round Shaft is the torque applied to generate a torsion (twist) within the round shaft.ⓘ Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress [M_tt]

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Formula

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Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress

Formula

`("M"_{"t"}"t") = ("τ"_{"o"}*pi*"d"_{"small"}^3)/16`

Example

`"22902.21N*mm"=("20N/mm²"*pi*("18mm")^3)/16`

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

STEP 0: Pre-Calculation Summary

Formula Used

Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16
M_tt = (τ_o*pi*d_small^3)/16
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional moment on Round Shaft - (Measured in Newton Meter) - Torsional moment on Round Shaft is the torque applied to generate a torsion (twist) within the round shaft.
Nominal Torsional Stress for Fluctuating Load - (Measured in Pascal) - 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.
Smaller Diameter of Shaft with Fillet - (Measured in Meter) - Smaller Diameter of Shaft with Fillet is the diameter of the smaller round cross-section of a round shaft which has a fillet.

STEP 1: Convert Input(s) to Base Unit

Nominal Torsional Stress for Fluctuating Load: 20 Newton per Square Millimeter --> 20000000 Pascal (Check conversion here)
Smaller Diameter of Shaft with Fillet: 18 Millimeter --> 0.018 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_tt = (τ_o*pi*d_small^3)/16 --> (20000000*pi*0.018^3)/16

Evaluating ... ...

M_tt = 22.9022104446696

STEP 3: Convert Result to Output's Unit

22.9022104446696 Newton Meter -->22902.2104446696 Newton Millimeter (Check conversion here)

FINAL ANSWER

22902.2104446696 ≈ 22902.21 Newton Millimeter <-- Torsional moment on Round Shaft

(Calculation completed in 00.004 seconds)

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< 11 Round Shaft against Fluctuating Loads Calculators

Height of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway

Go Height of Shaft Keyway = Diameter of Shaft with Keyway/1.1*(1-Ratio of Shaft Strength with and without Keyway-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway)

Width of Shaft Keyway given Ratio of Torsional Strength of Shaft with Keyway to without Keyway

Go Width of Key in Round Shaft = 5*Diameter of Shaft with Keyway*(1-Ratio of Shaft Strength with and without Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway)

Ratio of Torsional Strength of Shaft with Keyway to without Keyway

Go Ratio of Shaft Strength with and without Keyway = 1-0.2*Width of Key in Round Shaft/Diameter of Shaft with Keyway-1.1*Height of Shaft Keyway/Diameter of Shaft with Keyway

Diameter of Shaft given Ratio of Torsional Strength of Shaft with Keyway to without Keyway

Go Diameter of Shaft with Keyway = (0.2*Width of Key in Round Shaft+1.1*Height of Shaft Keyway)/(1-Ratio of Shaft Strength with and without Keyway)

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress

Go Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16

Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression

Go Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress))

Nominal Torsional Stress in Round Shaft with Shoulder Fillet

Go Nominal Stress = (16*Torsional moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)

Nominal Bending Stress in Round Shaft with Shoulder Fillet

Go Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)

Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress

Go Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32

Nominal Tensile Stress in Round Shaft with Shoulder Fillet

Go Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2)

Tensile Force in Round Shaft with Shoulder Fillet given Nominal Stress

Go Load on Flat Plate = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^2)/4

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

Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16
M_tt = (τ_o*pi*d_small^3)/16

Why is theoretical stress concentration factor so called?

The stress concentration charts are based on either the photo-elastic analysis of the epoxy models using a circular polariscope or theoretical or finite element analysis of the mathematical model. That is why the factor is called the theoretical stress concentration factor. The model is made of a different material than the actual material of the component. The ductility or brittleness of the material has a pronounced effect on its response to stress concentration. Also, the type of load— whether static or cyclic—affects the severity of stress concentration. Therefore, there is a difference between the stress concentration indicated by the theoretical stress concentration factor and the actual stress concentration in the component.

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

Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress calculator uses Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16 to calculate 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_tt symbol.

How to calculate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress using this online calculator? To use this online calculator 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. Here is how the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress calculation can be explained with given input values -> 2.3E+7 = (20000000*pi*0.018^3)/16.

FAQ

What is Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

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 and is represented as M_tt = (τ_o*pi*d_small^3)/16 or Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16. 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 & Smaller Diameter of Shaft with Fillet is the diameter of the smaller round cross-section of a round shaft which has a fillet.

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

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 is calculated using Torsional moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16. To calculate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress, you need Nominal Torsional Stress for Fluctuating Load (τ_o) & Smaller Diameter of Shaft with Fillet (d_small). With our tool, you need to enter the respective value for Nominal Torsional Stress for Fluctuating Load & Smaller Diameter of Shaft with Fillet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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