FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Formula

Fx Copy

LaTeX Copy

Equivalent Bending Moment For Fluctuating Load is the torsional moment which, if acting alone in the fluctuating load manner, would produce in a circular shaft the shear stress. Check FAQs

M f = k b' \cdot M s + \sqrt{{(M' s \cdot k t')}^{2} + {(k b' \cdot M s)}^{2}}

M_f - Equivalent Bending Moment For Fluctuating Load?k_b' - Combined Shock Fatigue Factor of Bending Moment?M_s - Bending Moment in Shaft?M'_s - Torsional Moment in Shaft?k_t' - Combined Shock Fatigue Factor of Torsion Moment?

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Example

With values

With units

Only example

Here is how the Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads equation looks like with Values.

Here is how the Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads equation looks like with Units.

Here is how the Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads equation looks like.

6.5E+6 = 1.8 \cdot 1.8E+6 + \sqrt{{(330000 \cdot 1.3)}^{2} + {(1.8 \cdot 1.8E+6)}^{2}}

6.5E+6N*mm = 1.8 \cdot 1.8E+6N*mm + \sqrt{{(330000N*mm \cdot 1.3)}^{2} + {(1.8 \cdot 1.8E+6N*mm)}^{2}}

6.5E+6 = 1.8 \cdot 1.8E+6 + \sqrt{{(330000 \cdot 1.3)}^{2} + {(1.8 \cdot 1.8E+6)}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Solution

Follow our step by step solution on how to calculate Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

FIRST Step Consider the formula

M f = k b' \cdot M s + \sqrt{{(M' s \cdot k t')}^{2} + {(k b' \cdot M s)}^{2}}

Next Step Substitute values of Variables

∴

M f = 1.8 \cdot 1.8E+6N*mm + \sqrt{{(330000N*mm \cdot 1.3)}^{2} + {(1.8 \cdot 1.8E+6N*mm)}^{2}}

Next Step Convert Units

∴

M f = 1.8 \cdot 1800N*m + \sqrt{{(330N*m \cdot 1.3)}^{2} + {(1.8 \cdot 1800N*m)}^{2}}

Next Step Prepare to Evaluate

∴

M f = 1.8 \cdot 1800 + \sqrt{{(330 \cdot 1.3)}^{2} + {(1.8 \cdot 1800)}^{2}}

Next Step Evaluate

∴

M f = 6508.27798695276N*m

Next Step Convert to Output's Unit

∴

M f = 6508277.98695276N*mm

LAST Step Rounding Answer

∴

M f = 6.5E+6N*mm

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Formula Elements

Variables

Functions

Equivalent Bending Moment For Fluctuating Load

Equivalent Bending Moment For Fluctuating Load is the torsional moment which, if acting alone in the fluctuating load manner, would produce in a circular shaft the shear stress.

Symbol: M_f

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment For Fluctuating Load

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.

Symbol: k_b'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Combined Shock Fatigue Factor of Bending Moment

Bending Moment in Shaft

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.

Symbol: M_s

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Shaft

Torsional Moment in Shaft

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.

Symbol: M'_s

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft

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.

Symbol: k_t'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Combined Shock Fatigue Factor of Torsion Moment

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.

Syntax: sqrt(Number)

Other formulas in ASME Code for Shaft Desgin category

Go Principle Shear Stress Maximum Shear Stress Theory of Failure

𝜏' max = \frac{16}{π \cdot {d'}^{3}} \cdot \sqrt{{(M' s \cdot k t')}^{2} + {(k b' \cdot M s)}^{2}}

Go Diameter of Shaft given Principle Shear Stress

d' = {(\frac{16}{π \cdot 𝜏' max} \cdot \sqrt{{(M' s \cdot k t')}^{2} + {(k b' \cdot M s)}^{2}})}^{\frac{1}{3}}

Go Equivalent Torsional Moment when Shaft is Subjected to Fluctuating Loads

M t = \sqrt{{(M' s \cdot k t')}^{2} + {(k b' \cdot M s)}^{2}}

Go Design of Shaft using ASME Code

𝜏 max = \frac{16 \cdot \sqrt{{(k b \cdot M b)}^{2} + {(k t \cdot M t')}^{2}}}{π \cdot {d s}^{3}}

How to Evaluate Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads evaluator uses 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) to evaluate the Equivalent Bending Moment For Fluctuating Load, Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads formula is defined as a measure of the total bending moment on a shaft under fluctuating loads, considering the bending moment due to external torque and the shaft's torsional moment, providing a critical value for shaft design and safety analysis in mechanical systems. Equivalent Bending Moment For Fluctuating Load is denoted by M_f symbol.

How to evaluate Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads using this online evaluator? To use this online evaluator for Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads, enter Combined Shock Fatigue Factor of Bending Moment (k_b'), Bending Moment in Shaft (M_s), Torsional Moment in Shaft (M'_s) & Combined Shock Fatigue Factor of Torsion Moment (k_t') and hit the calculate button.

FAQs on Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads

What is the formula to find Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

The formula of Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads is expressed as 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). Here is an example- 6.5E+9 = 1.8*1800+sqrt((330*1.3)^2+(1.8*1800)^2).

How to calculate Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

With Combined Shock Fatigue Factor of Bending Moment (k_b'), Bending Moment in Shaft (M_s), Torsional Moment in Shaft (M'_s) & Combined Shock Fatigue Factor of Torsion Moment (k_t') we can find Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads using the formula - 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). This formula also uses Square Root (sqrt) function(s).

Can the Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads be negative?

No, the Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads, measured in Torque cannot be negative.

Which unit is used to measure Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Formula

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Example

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Solution

Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads Formula Elements

Other formulas in ASME Code for Shaft Desgin category

How to Evaluate Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads?

FAQs on Equivalent Bending Moment when Shaft is Subjected to Fluctuating Loads

Variable Name