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Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
E.B.M = kb*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
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)
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.
STEP 1: Convert Input(s) to Base Unit
Combined Shock and Fatigue Factor to Bending: 2 --> No Conversion Required
Bending moment: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Torsional Moment: 100 Newton Meter --> 100 Newton Meter No Conversion Required
Combined Shock and Fatigue Factor to torsion: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E.B.M = kb*M+sqrt(((M t ) t*kt)^2+(kb*M)^2) --> 2*50+sqrt((100*2)^2+(2*50)^2)
Evaluating ... ...
E.B.M = 323.606797749979
STEP 3: Convert Result to Output's Unit
323.606797749979 --> No Conversion Required
FINAL ANSWER
323.606797749979 <-- Equivalent Bending Moment
(Calculation completed in 00.017 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 Bending Moment When Shaft is Subjected to Fluctuating Loads Formula

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)
E.B.M = kb*M+sqrt(((M t ) t*kt)^2+(kb*M)^2)

Define Equivalent Bending Moment?

A bending moment which, acting alone, would produce in a circular shaft a normal stress of the same magnitude as the maximum normal stress produced by a given bending moment and a given twisting moment acting simultaneously.

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

Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads calculator uses 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) to calculate the Equivalent Bending Moment, The Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads formula is defined as a bending moment which, acting alone, would produce in a circular shaft a normal stress of the same magnitude as the maximum normal stress produced by a given bending moment and a given twisting moment acting simultaneously. Equivalent Bending Moment and is denoted by E.B.M symbol.

How to calculate Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads using this online calculator? To use this online calculator for Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads, enter Combined Shock and Fatigue Factor to Bending (kb), Bending moment (M), Torsional Moment ((M t ) t) and Combined Shock and Fatigue Factor to torsion (kt) and hit the calculate button. Here is how the Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads calculation can be explained with given input values -> 323.6068 = 2*50+sqrt((100*2)^2+(2*50)^2).

FAQ

What is Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads?
The Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads formula is defined as a bending moment which, acting alone, would produce in a circular shaft a normal stress of the same magnitude as the maximum normal stress produced by a given bending moment and a given twisting moment acting simultaneously and is represented as E.B.M = kb*M+sqrt(((M t ) t*kt)^2+(kb*M)^2) or 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). 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, 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, Torsional Moment is the torque applied to generate a torsion (twist) within the object and 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.
How to calculate Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads?
The Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads formula is defined as a bending moment which, acting alone, would produce in a circular shaft a normal stress of the same magnitude as the maximum normal stress produced by a given bending moment and a given twisting moment acting simultaneously is calculated using 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). To calculate Equivalent Bending Moment When Shaft is Subjected to Fluctuating Loads, you need Combined Shock and Fatigue Factor to Bending (kb), Bending moment (M), Torsional Moment ((M t ) t) and Combined Shock and Fatigue Factor to torsion (kt). With our tool, you need to enter the respective value for Combined Shock and Fatigue Factor to Bending, Bending moment, Torsional Moment and Combined Shock and Fatigue Factor to torsion 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 Bending Moment?
In this formula, Equivalent Bending Moment uses Combined Shock and Fatigue Factor to Bending, Bending moment, Torsional Moment and Combined Shock and Fatigue Factor to torsion. 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 Bending Moment When Shaft is Subjected to Fluctuating Loads calculator used?
Among many, Equivalent Bending 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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