Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads Calculator

✖Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.ⓘ Torsional Moment in Shaft [M'_s]			+10% -10%
✖Combined Shock Fatigue Factor of Torsion Moment is a factor accounting for the combined shock and fatigue load applied with torsion moment.ⓘ Combined Shock Fatigue Factor of Torsion Moment [k_t']			+10% -10%
✖Combined Shock Fatigue Factor of Bending Moment is a factor accounting for the combined shock and fatigue load applied with bending moment.ⓘ Combined Shock Fatigue Factor of Bending Moment [k_b']			+10% -10%
✖Bending Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment in Shaft [M_s]			+10% -10%

✖Equivalent Torsion Moment For Fluctuating Load is the bending moment which, if acting alone in the fluctuating load manner, would produce in a circular shaft the shear stress.ⓘ Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads [M_t]

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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 For Fluctuating Load = sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2)
M_t = sqrt((M'_s*k_t')^2+(k_b'*M_s)^2)
This formula uses 1 Functions, 5 Variables

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

Equivalent Torsion Moment For Fluctuating Load - (Measured in Newton Meter) - Equivalent Torsion Moment For Fluctuating Load is the bending moment which, if acting alone in the fluctuating load manner, would produce in a circular shaft the shear stress.
Torsional Moment in Shaft - (Measured in Newton Meter) - Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.
Combined Shock Fatigue Factor of Torsion Moment - Combined Shock Fatigue Factor of Torsion Moment is a factor accounting for the combined shock and fatigue load applied with torsion moment.
Combined Shock Fatigue Factor of Bending Moment - Combined Shock Fatigue Factor of Bending Moment is a factor accounting for the combined shock and fatigue load applied with bending moment.
Bending Moment in Shaft - (Measured in Newton Meter) - Bending Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to bend.

STEP 1: Convert Input(s) to Base Unit

Torsional Moment in Shaft: 330000 Newton Millimeter --> 330 Newton Meter (Check conversion here)
Combined Shock Fatigue Factor of Torsion Moment: 1.3 --> No Conversion Required
Combined Shock Fatigue Factor of Bending Moment: 1.8 --> No Conversion Required
Bending Moment in Shaft: 1800000 Newton Millimeter --> 1800 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_t = sqrt((M'_s*k_t')^2+(k_b'*M_s)^2) --> sqrt((330*1.3)^2+(1.8*1800)^2)

Evaluating ... ...

M_t = 3268.27798695276

STEP 3: Convert Result to Output's Unit

3268.27798695276 Newton Meter -->3268277.98695276 Newton Millimeter (Check conversion here)

FINAL ANSWER

3268277.98695276 ≈ 3.3E+6 Newton Millimeter <-- Equivalent Torsion Moment For Fluctuating Load

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Shafts » Mechanical » ASME Code for Shaft Desgin » Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads

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< ASME Code for Shaft Desgin Calculators

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads

LaTeX Go Equivalent Bending Moment For Fluctuating Load = Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft+sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2)

Diameter of Shaft given Principle Shear Stress

LaTeX Go Diameter of Shaft From ASME = (16/(pi*Maximum Shear Stress in Shaft From ASME)*sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2))^(1/3)

Principle Shear Stress Maximum Shear Stress Theory of Failure

LaTeX Go Maximum Shear Stress in Shaft From ASME = 16/(pi*Diameter of Shaft From ASME^3)*sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2)

Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads

LaTeX Go Equivalent Torsion Moment For Fluctuating Load = sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2)

Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads Formula

LaTeX Go

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 For Fluctuating Load = sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2) to calculate the Equivalent Torsion Moment For Fluctuating Load, Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads formula is defined as a measure of the total torsional moment that a shaft is subjected to when it is under fluctuating loads, taking into account the shaft's torsional moment and the bending moment of the bearing. Equivalent Torsion Moment For Fluctuating Load is denoted by M_t 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 in Shaft (M'_s), Combined Shock Fatigue Factor of Torsion Moment (k_t'), Combined Shock Fatigue Factor of Bending Moment (k_b') & Bending Moment in Shaft (M_s) 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 -> 3.3E+9 = sqrt((330*1.3)^2+(1.8*1800)^2).

FAQ

What is Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads?

Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads formula is defined as a measure of the total torsional moment that a shaft is subjected to when it is under fluctuating loads, taking into account the shaft's torsional moment and the bending moment of the bearing and is represented as M_t = sqrt((M'_s*k_t')^2+(k_b'*M_s)^2) or Equivalent Torsion Moment For Fluctuating Load = sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2). Torsional Moment in Shaft is the reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist, Combined Shock Fatigue Factor of Torsion Moment is a factor accounting for the combined shock and fatigue load applied with torsion moment, Combined Shock Fatigue Factor of Bending Moment is a factor accounting for the combined shock and fatigue load applied with bending moment & Bending Moment in Shaft is the reaction induced in a structural shaft 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?

Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads formula is defined as a measure of the total torsional moment that a shaft is subjected to when it is under fluctuating loads, taking into account the shaft's torsional moment and the bending moment of the bearing is calculated using Equivalent Torsion Moment For Fluctuating Load = sqrt((Torsional Moment in Shaft*Combined Shock Fatigue Factor of Torsion Moment)^2+(Combined Shock Fatigue Factor of Bending Moment*Bending Moment in Shaft)^2). To calculate Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads, you need Torsional Moment in Shaft (M'_s), Combined Shock Fatigue Factor of Torsion Moment (k_t'), Combined Shock Fatigue Factor of Bending Moment (k_b') & Bending Moment in Shaft (M_s). With our tool, you need to enter the respective value for Torsional Moment in Shaft, Combined Shock Fatigue Factor of Torsion Moment, Combined Shock Fatigue Factor of Bending Moment & Bending Moment in Shaft 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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