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

✖The Nominal Torsional Stress for Fluctuating Load is the average stress experienced by a material when subjected to varying torsional forces, crucial for assessing structural integrity.ⓘ Nominal Torsional Stress for Fluctuating Load [τ_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 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 in Round Shaft with Shoulder Fillet given Nominal Stress [M_t]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Nominal Torsional Stress for Fluctuating Load - (Measured in Pascal) - The Nominal Torsional Stress for Fluctuating Load is the average stress experienced by a material when subjected to varying torsional forces, crucial for assessing structural integrity.
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 Torsional Stress for Fluctuating Load: 20 Newton per Square Millimeter --> 20000000 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_t = (τ_o*pi*d_small^3)/16 --> (20000000*pi*0.02111004^3)/16

Evaluating ... ...

M_t = 36.9425657012172

STEP 3: Convert Result to Output's Unit

36.9425657012172 Newton Meter -->36942.5657012172 Newton Millimeter (Check conversion here)

FINAL ANSWER

36942.5657012172 ≈ 36942.57 Newton Millimeter <-- Torsional Moment on Round Shaft

(Calculation completed in 00.021 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)

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

LaTeX Go

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

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

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

How to calculate Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress using this online calculator? To use this online calculator for Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress, enter Nominal Torsional Stress for Fluctuating Load (τ_o) & Smaller Diameter of Shaft with Fillet (d_small) and hit the calculate button. Here is how the Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress calculation can be explained with given input values -> 3.7E+7 = (20000000*pi*0.02111004^3)/16.

FAQ

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

Torsional Moment in Round shaft with Shoulder fillet given Nominal stress is the amount of torsional moment in 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 M_t = (τ_o*pi*d_small^3)/16 or Torsional Moment on Round Shaft = (Nominal Torsional Stress for Fluctuating Load*pi*Smaller Diameter of Shaft with Fillet^3)/16. The Nominal Torsional Stress for Fluctuating Load is the average stress experienced by a material when subjected to varying torsional forces, crucial for assessing structural integrity & 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 Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

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