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Torsional Moment given Equivalent Bending Moment Formula

GoTorsional Moment given Maximum Shear Stress Formula

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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. Check FAQs

Mt t = \sqrt{{(Mb eq - M b MSST)}^{2} - {M b MSST}^{2}}

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

Torsional Moment given Equivalent Bending Moment Example

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

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

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

387582.0775 = \sqrt{{(2E+6 - 980000)}^{2} - 980000^{2}}

387582.0775N*mm = \sqrt{{(2E+6N*mm - 980000N*mm)}^{2} - {980000N*mm}^{2}}

387582.0775 = \sqrt{{(2E+6 - 980000)}^{2} - 980000^{2}}

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Torsional Moment given Equivalent Bending Moment Solution

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

FIRST Step Consider the formula

Mt t = \sqrt{{(Mb eq - M b MSST)}^{2} - {M b MSST}^{2}}

Next Step Substitute values of Variables

∴

Mt t = \sqrt{{(2E+6N*mm - 980000N*mm)}^{2} - {980000N*mm}^{2}}

Next Step Convert Units

∴

Mt t = \sqrt{{(2033.8595N*m - 980N*m)}^{2} - {980N*m}^{2}}

Next Step Prepare to Evaluate

∴

Mt t = \sqrt{{(2033.8595 - 980)}^{2} - 980^{2}}

Next Step Evaluate

∴

Mt t = 387.58207752351N*m

Next Step Convert to Output's Unit

∴

Mt t = 387582.07752351N*mm

LAST Step Rounding Answer

∴

Mt t = 387582.0775N*mm

Torsional Moment given Equivalent Bending Moment Formula Elements

Variables

Functions

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

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

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 to find Torsional Moment in Shaft for MSST

Go Torsional Moment given Maximum Shear Stress

Mt t = \sqrt{{(π \cdot {d MSST}^{3} \cdot \frac{𝜏 max MSST}{16})}^{2} - {M b MSST}^{2}}

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 Torsional Moment given Equivalent Bending Moment?

Torsional Moment given Equivalent Bending Moment evaluator uses Torsional Moment in Shaft for MSST = sqrt((Equivalent Bending Moment from MSST-Bending Moment in Shaft for MSST)^2-Bending Moment in Shaft for MSST^2) to evaluate the Torsional Moment in Shaft for MSST, Torsional Moment given Equivalent Bending Moment formula is defined as a measure of the twisting force that causes shear stress, which is a critical parameter in the design of shafts and axles and is used to calculate the maximum shear stress and principal stress in a shaft under torsional loading. Torsional Moment in Shaft for MSST is denoted by Mt_t symbol.

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

FAQs on Torsional Moment given Equivalent Bending Moment

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

The formula of Torsional Moment given Equivalent Bending Moment is expressed as Torsional Moment in Shaft for MSST = sqrt((Equivalent Bending Moment from MSST-Bending Moment in Shaft for MSST)^2-Bending Moment in Shaft for MSST^2). Here is an example- 3.8E+8 = sqrt((2033.85951-980)^2-980^2).

How to calculate Torsional Moment given Equivalent Bending Moment?

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

What are the other ways to Calculate Torsional Moment in Shaft for MSST?

Here are the different ways to Calculate Torsional Moment in Shaft for MSST-

Torsional Moment in Shaft for MSST=sqrt((pi*Diameter of Shaft from MSST^3*Maximum Shear Stress in Shaft from MSST/16)^2-Bending Moment in Shaft for MSST^2)

Can the Torsional Moment given Equivalent Bending Moment be negative?

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

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

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

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Torsional Moment given Equivalent Bending Moment Formula

​GoTorsional Moment given Maximum Shear Stress Formula

Torsional Moment given Equivalent Bending Moment Example

Torsional Moment given Equivalent Bending Moment Solution

Torsional Moment given Equivalent Bending Moment Formula Elements

Other Formulas to find Torsional Moment in Shaft for MSST

Other formulas in Maximum Shear Stress and Principal Stress Theory category

How to Evaluate Torsional Moment given Equivalent Bending Moment?

FAQs on Torsional Moment given Equivalent Bending Moment

Variable Name

GoTorsional Moment given Maximum Shear Stress Formula