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

✖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 Stress [σ_o]			+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 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 in Round Shaft with Shoulder Fillet given Nominal Stress [M_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32
M_b = (σ_o*pi*d_small^3)/32
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Nominal Stress: 25 Newton per Square Millimeter --> 25000000 Pascal (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

M_b = (σ_o*pi*d_small^3)/32 --> (25000000*pi*0.02111004^3)/32

Evaluating ... ...

M_b = 23.0891035632608

STEP 3: Convert Result to Output's Unit

23.0891035632608 Newton Meter -->23089.1035632608 Newton Millimeter (Check conversion here)

FINAL ANSWER

23089.1035632608 ≈ 23089.1 Newton Millimeter <-- Bending Moment on Round Shaft

(Calculation completed in 00.020 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)

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

LaTeX Go

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

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

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

How to calculate Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress using this online calculator? To use this online calculator for Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress, enter Nominal Stress (σ_o) & Smaller Diameter of Shaft with Fillet (d_small) and hit the calculate button. Here is how the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress calculation can be explained with given input values -> 2.3E+7 = (25000000*pi*0.02111004^3)/32.

FAQ

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

Bending Moment in Round shaft with Shoulder fillet given Nominal stress is the amount of bending moment 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 M_b = (σ_o*pi*d_small^3)/32 or Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32. The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications & 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 Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

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