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

✖Load on Flat Plate is defined as the force exerted on the surface or body of a flat plate.ⓘ Load on Flat Plate [P]			+10% -10%
✖Nominal Stress is the value of the stress at the minimum cross-section.ⓘ Nominal Stress [σ_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 Round Shaft with Shoulder Fillet in Tension or Compression [d_small]

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Formula

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

Formula

`"d"_{"small"} = sqrt((4*"P")/(pi*"σ"_{"o"}))`

Example

`"21.11004mm"=sqrt((4*"8750N")/(pi*"25N/mm²"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress))
d_small = sqrt((4*P)/(pi*σ_o))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Load on Flat Plate - (Measured in Newton) - Load on Flat Plate is defined as the force exerted on the surface or body of a flat plate.
Nominal Stress - (Measured in Pascal) - Nominal Stress is the value of the stress at the minimum cross-section.

STEP 1: Convert Input(s) to Base Unit

Load on Flat Plate: 8750 Newton --> 8750 Newton No Conversion Required
Nominal Stress: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_small = sqrt((4*P)/(pi*σ_o)) --> sqrt((4*8750)/(pi*25000000))

Evaluating ... ...

d_small = 0.0211100412282238

STEP 3: Convert Result to Output's Unit

0.0211100412282238 Meter -->21.1100412282238 Millimeter (Check conversion here)

FINAL ANSWER

21.1100412282238 ≈ 21.11004 Millimeter <-- Smaller Diameter of Shaft with Fillet

(Calculation completed in 00.004 seconds)

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

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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

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

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

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

Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression calculator uses Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)) to calculate the Smaller Diameter of Shaft with Fillet, The Smaller diameter of round shaft with shoulder fillet in tension or compression is the diameter of the smaller round cross-section of a round shaft which has a shoulder fillet with stress concentration. Smaller Diameter of Shaft with Fillet is denoted by d_small symbol.

How to calculate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression using this online calculator? To use this online calculator for Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression, enter Load on Flat Plate (P) & Nominal Stress (σ_o) and hit the calculate button. Here is how the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression calculation can be explained with given input values -> 21110.04 = sqrt((4*8750)/(pi*25000000)).

FAQ

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

The Smaller diameter of round shaft with shoulder fillet in tension or compression is the diameter of the smaller round cross-section of a round shaft which has a shoulder fillet with stress concentration and is represented as d_small = sqrt((4*P)/(pi*σ_o)) or Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)). Load on Flat Plate is defined as the force exerted on the surface or body of a flat plate & Nominal Stress is the value of the stress at the minimum cross-section.

How to calculate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

The Smaller diameter of round shaft with shoulder fillet in tension or compression is the diameter of the smaller round cross-section of a round shaft which has a shoulder fillet with stress concentration is calculated using Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)). To calculate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression, you need Load on Flat Plate (P) & Nominal Stress (σ_o). With our tool, you need to enter the respective value for Load on Flat Plate & Nominal Stress 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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