Nominal Bending Stress in Round Shaft with Shoulder Fillet Calculator

✖The Bending Moment on Round Shaft is the internal moment that causes the shaft to bend, influencing its strength and performance under fluctuating loads.ⓘ Bending Moment on Round Shaft [M_b]			+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 Bending Stress in Round Shaft with Shoulder Fillet [σ_o]

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Nominal Bending Stress in Round Shaft with Shoulder Fillet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
σ_o = (32*M_b)/(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.
Bending Moment on Round Shaft - (Measured in Newton Meter) - The Bending Moment on Round Shaft is the internal moment that causes the shaft to bend, influencing its strength and performance under fluctuating loads.
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

Bending Moment on Round Shaft: 23089.1 Newton Millimeter --> 23.0891 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 = (32*M_b)/(pi*d_small^3) --> (32*23.0891)/(pi*0.02111004^3)

Evaluating ... ...

σ_o = 24999996.1418373

STEP 3: Convert Result to Output's Unit

24999996.1418373 Pascal -->24.9999961418373 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

24.9999961418373 ≈ 25 Newton per Square Millimeter <-- Nominal Stress

(Calculation completed in 00.004 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

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)

Nominal Bending Stress in Round Shaft with Shoulder Fillet Formula

Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
σ_o = (32*M_b)/(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 Bending Stress in Round Shaft with Shoulder Fillet?

Nominal Bending Stress in Round Shaft with Shoulder Fillet calculator uses Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3) to calculate the Nominal Stress, Nominal Bending Stress in Round shaft with Shoulder fillet is the amount of bending stress at the minimum cross-section in the round shaft with shoulder fillet with stress concentration arising due to the forces acting perpendicular to the shaft axis. Nominal Stress is denoted by σ_o symbol.

How to calculate Nominal Bending Stress in Round Shaft with Shoulder Fillet using this online calculator? To use this online calculator for Nominal Bending Stress in Round Shaft with Shoulder Fillet, enter Bending Moment on Round Shaft (M_b) & Smaller Diameter of Shaft with Fillet (d_small) and hit the calculate button. Here is how the Nominal Bending Stress in Round Shaft with Shoulder Fillet calculation can be explained with given input values -> 1.5E-5 = (32*23.0891)/(pi*0.02111004^3).

FAQ

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

Nominal Bending Stress in Round shaft with Shoulder fillet is the amount of bending stress at the minimum cross-section in the round shaft with shoulder fillet with stress concentration arising due to the forces acting perpendicular to the shaft axis and is represented as σ_o = (32*M_b)/(pi*d_small^3) or Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). The Bending Moment on Round Shaft is the internal moment that causes the shaft to bend, influencing its strength and performance under fluctuating loads & 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 Bending Stress in Round Shaft with Shoulder Fillet?

Nominal Bending Stress in Round shaft with Shoulder fillet is the amount of bending stress at the minimum cross-section in the round shaft with shoulder fillet with stress concentration arising due to the forces acting perpendicular to the shaft axis is calculated using Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). To calculate Nominal Bending Stress in Round Shaft with Shoulder Fillet, you need Bending Moment on Round Shaft (M_b) & Smaller Diameter of Shaft with Fillet (d_small). With our tool, you need to enter the respective value for Bending 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 Bending 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 = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)

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