Nominal Tensile Stress in Round Shaft with Shoulder Fillet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2)
σo = (4*P)/(pi*dsmall^2)
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.
Load on Flat Plate - (Measured in Newton) - The Load on Flat Plate is the force applied uniformly across a flat surface, affecting the plate's structural integrity and performance under various loading conditions.
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
Load on Flat Plate: 8750 Newton --> 8750 Newton No Conversion Required
Smaller Diameter of Shaft with Fillet: 21.11004 Millimeter --> 0.02111004 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σo = (4*P)/(pi*dsmall^2) --> (4*8750)/(pi*0.02111004^2)
Evaluating ... ...
σo = 25000002.9090987
STEP 3: Convert Result to Output's Unit
25000002.9090987 Pascal -->25.0000029090987 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
25.0000029090987 25 Newton per Square Millimeter <-- Nominal Stress
(Calculation completed in 00.021 seconds)

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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 Tensile Stress in Round Shaft with Shoulder Fillet Formula

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

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 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 Tensile Stress in Round Shaft with Shoulder Fillet?

Nominal Tensile Stress in Round Shaft with Shoulder Fillet calculator uses Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2) to calculate the Nominal Stress, Nominal Tensile Stress in Round shaft with Shoulder fillet is fhe amount of tensile stress at the minimum cross section in round shaft with shoulder fillet with stress concentration arising due to the forces acting parallel to the shaft axis. Nominal Stress is denoted by σo symbol.

How to calculate Nominal Tensile Stress in Round Shaft with Shoulder Fillet using this online calculator? To use this online calculator for Nominal Tensile Stress in Round Shaft with Shoulder Fillet, enter Load on Flat Plate (P) & Smaller Diameter of Shaft with Fillet (dsmall) and hit the calculate button. Here is how the Nominal Tensile Stress in Round Shaft with Shoulder Fillet calculation can be explained with given input values -> 3.4E-5 = (4*8750)/(pi*0.02111004^2).

FAQ

What is Nominal Tensile Stress in Round Shaft with Shoulder Fillet?
Nominal Tensile Stress in Round shaft with Shoulder fillet is fhe amount of tensile stress at the minimum cross section in round shaft with shoulder fillet with stress concentration arising due to the forces acting parallel to the shaft axis and is represented as σo = (4*P)/(pi*dsmall^2) or Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2). The Load on Flat Plate is the force applied uniformly across a flat surface, affecting the plate's structural integrity and performance under various loading conditions & 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 Tensile Stress in Round Shaft with Shoulder Fillet?
Nominal Tensile Stress in Round shaft with Shoulder fillet is fhe amount of tensile stress at the minimum cross section in round shaft with shoulder fillet with stress concentration arising due to the forces acting parallel to the shaft axis is calculated using Nominal Stress = (4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2). To calculate Nominal Tensile Stress in Round Shaft with Shoulder Fillet, you need Load on Flat Plate (P) & Smaller Diameter of Shaft with Fillet (dsmall). With our tool, you need to enter the respective value for Load on Flat Plate & 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 Load on Flat Plate & Smaller Diameter of Shaft with Fillet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
  • Nominal Stress = (16*Torsional Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)
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