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Equivalent Bending Moment given Torsional Moment Formula

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Equivalent Bending Moment from MSST is the maximum bending moment calculated from the maximum shear stress theory, used to analyze stress distribution in a beam. Check FAQs

Mb eq = M b MSST + \sqrt{{M b MSST}^{2} + {Mt t}^{2}}

Mb_eq - Equivalent Bending Moment from MSST?M_{b MSST} - Bending Moment in Shaft for MSST?Mt_t - Torsional Moment in Shaft for MSST?

Equivalent Bending Moment given Torsional Moment Example

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Here is how the Equivalent Bending Moment given Torsional Moment equation looks like with Values.

Here is how the Equivalent Bending Moment given Torsional Moment equation looks like with Units.

Here is how the Equivalent Bending Moment given Torsional Moment equation looks like.

2E+6 = 980000 + \sqrt{980000^{2} + {387582.1}^{2}}

2E+6N*mm = 980000N*mm + \sqrt{{980000N*mm}^{2} + {387582.1N*mm}^{2}}

2E+6 = 980000 + \sqrt{980000^{2} + {387582.1}^{2}}

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Equivalent Bending Moment given Torsional Moment Solution

Follow our step by step solution on how to calculate Equivalent Bending Moment given Torsional Moment?

FIRST Step Consider the formula

Mb eq = M b MSST + \sqrt{{M b MSST}^{2} + {Mt t}^{2}}

Next Step Substitute values of Variables

∴

Mb eq = 980000N*mm + \sqrt{{980000N*mm}^{2} + {387582.1N*mm}^{2}}

Next Step Convert Units

∴

Mb eq = 980N*m + \sqrt{{980N*m}^{2} + {387.5821N*m}^{2}}

Next Step Prepare to Evaluate

∴

Mb eq = 980 + \sqrt{980^{2} + {387.5821}^{2}}

Next Step Evaluate

∴

Mb eq = 2033.85951826627N*m

Next Step Convert to Output's Unit

∴

Mb eq = 2033859.51826627N*mm

LAST Step Rounding Answer

∴

Mb eq = 2E+6N*mm

Equivalent Bending Moment given Torsional Moment Formula Elements

Variables

Functions

Equivalent Bending Moment from MSST

Equivalent Bending Moment from MSST is the maximum bending moment calculated from the maximum shear stress theory, used to analyze stress distribution in a beam.

Symbol: Mb_eq

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment from MSST

Bending Moment in Shaft for MSST

Bending Moment in Shaft for MSST is the maximum twisting force that causes shear stress in a shaft, affecting its structural integrity and stability.

Symbol: M_{b MSST}

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Shaft for MSST

Torsional Moment in Shaft for MSST

Torsional Moment in Shaft for MSST is the maximum twisting moment that a shaft can withstand without failing, considering maximum shear stress and principal stress theory.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft for MSST

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 Maximum Shear Stress and Principal Stress Theory category

Go Permissible Value of Maximum Principle Stress

σ max = \frac{16}{π \cdot {d MPST}^{3}} \cdot (M b + \sqrt{{M b}^{2} + {Mt shaft}^{2}})

Go Diameter of Shaft given Permissible Value of Maximum Principle Stress

d MPST = {(\frac{16}{π \cdot σ max} \cdot (M b + \sqrt{{M b}^{2} + {Mt shaft}^{2}}))}^{\frac{1}{3}}

Go Permissible Value of Maximum Principle Stress using Factor of Safety

σ max = \frac{F ce}{fos shaft}

Go Factor of Safety given Permissible Value of Maximum Principle Stress

fos shaft = \frac{F ce}{σ max}

How to Evaluate Equivalent Bending Moment given Torsional Moment?

Equivalent Bending Moment given Torsional Moment evaluator uses Equivalent Bending Moment from MSST = Bending Moment in Shaft for MSST+sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2) to evaluate the Equivalent Bending Moment from MSST, Equivalent Bending Moment given Torsional Moment formula is defined as a measure of the combined effect of bending and torsional moments on a shaft, providing a comprehensive understanding of the stress distribution and potential failure points in mechanical systems. Equivalent Bending Moment from MSST is denoted by Mb_eq symbol.

How to evaluate Equivalent Bending Moment given Torsional Moment using this online evaluator? To use this online evaluator for Equivalent Bending Moment given Torsional Moment, enter Bending Moment in Shaft for MSST (M_{b MSST}) & Torsional Moment in Shaft for MSST (Mt_t) and hit the calculate button.

FAQs on Equivalent Bending Moment given Torsional Moment

What is the formula to find Equivalent Bending Moment given Torsional Moment?

The formula of Equivalent Bending Moment given Torsional Moment is expressed as Equivalent Bending Moment from MSST = Bending Moment in Shaft for MSST+sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2). Here is an example- 2E+9 = 980+sqrt(980^2+387.5821^2).

How to calculate Equivalent Bending Moment given Torsional Moment?

With Bending Moment in Shaft for MSST (M_{b MSST}) & Torsional Moment in Shaft for MSST (Mt_t) we can find Equivalent Bending Moment given Torsional Moment using the formula - Equivalent Bending Moment from MSST = Bending Moment in Shaft for MSST+sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2). This formula also uses Square Root (sqrt) function(s).

Can the Equivalent Bending Moment given Torsional Moment be negative?

No, the Equivalent Bending Moment given Torsional Moment, measured in Torque cannot be negative.

Which unit is used to measure Equivalent Bending Moment given Torsional Moment?

Equivalent Bending Moment given Torsional Moment 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 given Torsional Moment can be measured.

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Equivalent Bending Moment given Torsional Moment Formula

Equivalent Bending Moment given Torsional Moment Example

Equivalent Bending Moment given Torsional Moment Solution

Equivalent Bending Moment given Torsional Moment Formula Elements

Other formulas in Maximum Shear Stress and Principal Stress Theory category

How to Evaluate Equivalent Bending Moment given Torsional Moment?

FAQs on Equivalent Bending Moment given Torsional Moment

Variable Name