Nominal Torsional Stress in Round Shaft with Shoulder Fillet Calculator

✖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.ⓘ Torsional Moment on Round Shaft [M_t]			+10% -10%
✖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.ⓘ Smaller Diameter of Shaft with Fillet [d_small]			+10% -10%

✖The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.ⓘ Nominal Torsional Stress in Round Shaft with Shoulder Fillet [σ_o]

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Nominal Torsional Stress in Round Shaft with Shoulder Fillet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
σ_o = (16*M_t)/(pi*d_small^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Nominal Stress - (Measured in Pascal) - The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.
Torsional Moment on Round Shaft - (Measured in Newton Meter) - 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.
Smaller Diameter of Shaft with Fillet - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment on Round Shaft: 36942.57 Newton Millimeter --> 36.94257 Newton Meter (Check conversion here)
Smaller Diameter of Shaft with Fillet: 21.11004 Millimeter --> 0.02111004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_o = (16*M_t)/(pi*d_small^3) --> (16*36.94257)/(pi*0.02111004^3)

Evaluating ... ...

σ_o = 20000002.327279

STEP 3: Convert Result to Output's Unit

20000002.327279 Pascal -->20.000002327279 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

20.000002327279 ≈ 20 Newton per Square Millimeter <-- Nominal Stress

(Calculation completed in 00.007 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< Round Shaft against Fluctuating Loads Calculators

Nominal Torsional Stress in Round Shaft with Shoulder Fillet

LaTeX 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

LaTeX 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

LaTeX 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

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

Nominal Torsional Stress in Round Shaft with Shoulder Fillet Formula

LaTeX Go

Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
σ_o = (16*M_t)/(pi*d_small^3)

Some load applications that may cause stress concentration

The examples of these load applications are as follows:
(a) Contact between the meshing teeth of the driving and the driven gear.
(b) Contact between the cam and the follower.
(c) Contact between the balls and the races of the ball bearing.
(d) Contact between the rail and the wheel.
(e) Contact between the crane hook and the chain.
In all these cases, the concentrated load is applied over a very small area resulting in stress concentration.

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

Nominal Torsional Stress in Round Shaft with Shoulder Fillet calculator uses Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3) to calculate the Nominal Stress, Nominal Torsional Stress in Round Shaft with Shoulder fillet is the amount of torsional stress in the material of the round shaft with shoulder fillet with stress concentration arising due to the forces acting such that to twist the round shaft. Nominal Stress is denoted by σ_o symbol.

How to calculate Nominal Torsional Stress in Round Shaft with Shoulder Fillet using this online calculator? To use this online calculator for Nominal Torsional Stress in Round Shaft with Shoulder Fillet, enter Torsional Moment on Round Shaft (M_t) & Smaller Diameter of Shaft with Fillet (d_small) and hit the calculate button. Here is how the Nominal Torsional Stress in Round Shaft with Shoulder Fillet calculation can be explained with given input values -> 1.5E-5 = (16*36.94257)/(pi*0.02111004^3).

FAQ

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

Nominal Torsional Stress in Round Shaft with Shoulder fillet is the amount of torsional stress in the material of 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 σ_o = (16*M_t)/(pi*d_small^3) or Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). 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 & 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.

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

Nominal Torsional Stress in Round Shaft with Shoulder fillet is the amount of torsional stress in the material of 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 Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). To calculate Nominal Torsional Stress in Round Shaft with Shoulder Fillet, you need Torsional Moment on Round Shaft (M_t) & Smaller Diameter of Shaft with Fillet (d_small). With our tool, you need to enter the respective value for Torsional Moment on Round Shaft & 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.

How many ways are there to calculate Nominal Stress?

In this formula, Nominal Stress uses Torsional Moment on Round Shaft & Smaller Diameter of Shaft with Fillet. We can use 2 other way(s) to calculate the same, which is/are as follows -

Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2)
Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)

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