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Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads Solution

STEP 0: Pre-Calculation Summary
Formula Used
equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2)
E.T.M = sqrt(((M t ) t*kt)^2+(kb*M)^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Torsional Moment - Torsional Moment is the torque applied to generate a torsion (twist) within the object. (Measured in Newton Meter)
Combined Shock and Fatigue Factor to torsion- Combined Shock and Fatigue Factor to torsion is a commonly used figure of merit for estimating the amount of shock experienced by a naval target from an underwater explosion.
Combined Shock and Fatigue Factor to Bending- Combined Shock and Fatigue Factor to Bending is a commonly used figure of merit for estimating the amount of shock experienced by a naval target from an underwater explosion.
Bending moment - The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. (Measured in Newton Meter)
STEP 1: Convert Input(s) to Base Unit
Torsional Moment: 100 Newton Meter --> 100 Newton Meter No Conversion Required
Combined Shock and Fatigue Factor to torsion: 2 --> No Conversion Required
Combined Shock and Fatigue Factor to Bending: 2 --> No Conversion Required
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E.T.M = sqrt(((M t ) t*kt)^2+(kb*M)^2) --> sqrt((100*2)^2+(2*50)^2)
Evaluating ... ...
E.T.M = 223.606797749979
STEP 3: Convert Result to Output's Unit
223.606797749979 --> No Conversion Required
FINAL ANSWER
223.606797749979 <-- Equivalent Torsion Moment
(Calculation completed in 00.005 seconds)

4 ASME Code for Shaft Desgin Calculators

Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads
equivalent_bending_moment = Combined Shock and Fatigue Factor to Bending*Bending moment+sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2) Go
Diameter of the Shaft When Principle Shear Stress is Given
diameter_of_shaft = ((16/pi*Maximum shear stress)*sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2))^(1/3) Go
Principle Shear Stress(maximum shear stress theory of failure)
maximum_shear_stress = (16/pi*Diameter of shaft^3)*sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2) Go
Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads
equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2) Go

Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads Formula

equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2)
E.T.M = sqrt(((M t ) t*kt)^2+(kb*M)^2)

Define Torsional Moment?

In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf). In sections perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius.

How to Calculate Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads?

Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads calculator uses equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2) to calculate the Equivalent Torsion Moment, The Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads formula if acting alone, would produce in a circular shaft a shear stress of the same magnitude as the shear stress produced by a given twisting moment and a given bending moment acting simultaneously. Equivalent Torsion Moment and is denoted by E.T.M symbol.

How to calculate Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads using this online calculator? To use this online calculator for Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads, enter Torsional Moment ((M t ) t), Combined Shock and Fatigue Factor to torsion (kt), Combined Shock and Fatigue Factor to Bending (kb) and Bending moment (M) and hit the calculate button. Here is how the Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads calculation can be explained with given input values -> 223.6068 = sqrt((100*2)^2+(2*50)^2).

FAQ

What is Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads?
The Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads formula if acting alone, would produce in a circular shaft a shear stress of the same magnitude as the shear stress produced by a given twisting moment and a given bending moment acting simultaneously and is represented as E.T.M = sqrt(((M t ) t*kt)^2+(kb*M)^2) or equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2). Torsional Moment is the torque applied to generate a torsion (twist) within the object, Combined Shock and Fatigue Factor to torsion is a commonly used figure of merit for estimating the amount of shock experienced by a naval target from an underwater explosion, Combined Shock and Fatigue Factor to Bending is a commonly used figure of merit for estimating the amount of shock experienced by a naval target from an underwater explosion and The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
How to calculate Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads?
The Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads formula if acting alone, would produce in a circular shaft a shear stress of the same magnitude as the shear stress produced by a given twisting moment and a given bending moment acting simultaneously is calculated using equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2). To calculate Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads, you need Torsional Moment ((M t ) t), Combined Shock and Fatigue Factor to torsion (kt), Combined Shock and Fatigue Factor to Bending (kb) and Bending moment (M). With our tool, you need to enter the respective value for Torsional Moment, Combined Shock and Fatigue Factor to torsion, Combined Shock and Fatigue Factor to Bending and Bending moment 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 Equivalent Torsion Moment?
In this formula, Equivalent Torsion Moment uses Torsional Moment, Combined Shock and Fatigue Factor to torsion, Combined Shock and Fatigue Factor to Bending and Bending moment. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • maximum_shear_stress = (16/pi*Diameter of shaft^3)*sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2)
  • diameter_of_shaft = ((16/pi*Maximum shear stress)*sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2))^(1/3)
  • equivalent_torsion_moment = sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2)
  • equivalent_bending_moment = Combined Shock and Fatigue Factor to Bending*Bending moment+sqrt((Torsional Moment*Combined Shock and Fatigue Factor to torsion)^2+(Combined Shock and Fatigue Factor to Bending*Bending moment)^2)
Where is the Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads calculator used?
Among many, Equivalent Torsional Moment When Shaft is Subjected to Fluctuating Loads calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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