Equivalent Bending Moment given Torsional Moment Calculator

✖Bending Moment in Shaft for MSST is the maximum twisting force that causes shear stress in a shaft, affecting its structural integrity and stability.ⓘ Bending Moment in Shaft for MSST [M_{b MSST}]			+10% -10%
✖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.ⓘ Torsional Moment in Shaft for MSST [Mt_t]			+10% -10%

✖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.ⓘ Equivalent Bending Moment given Torsional Moment [Mb_eq]

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Equivalent Bending Moment given Torsional Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Mb_eq = M_{b MSST}+sqrt(M_{b MSST}^2+Mt_t^2)
This formula uses 1 Functions, 3 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 Bending Moment from MSST - (Measured in Newton Meter) - 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.
Bending Moment in Shaft for MSST - (Measured in Newton Meter) - Bending Moment in Shaft for MSST is the maximum twisting force that causes shear stress in a shaft, affecting its structural integrity and stability.
Torsional Moment in Shaft for MSST - (Measured in Newton Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Shaft for MSST: 980000 Newton Millimeter --> 980 Newton Meter (Check conversion here)
Torsional Moment in Shaft for MSST: 387582.1 Newton Millimeter --> 387.5821 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mb_eq = M_{b MSST}+sqrt(M_{b MSST}^2+Mt_t^2) --> 980+sqrt(980^2+387.5821^2)

Evaluating ... ...

Mb_eq = 2033.85951826627

STEP 3: Convert Result to Output's Unit

2033.85951826627 Newton Meter -->2033859.51826627 Newton Millimeter (Check conversion here)

FINAL ANSWER

2033859.51826627 ≈ 2E+6 Newton Millimeter <-- Equivalent Bending Moment from MSST

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Maximum Shear Stress and Principal Stress Theory Calculators

Diameter of Shaft given Permissible Value of Maximum Principle Stress

LaTeX Go Diameter of Shaft from MPST = (16/(pi*Maximum Principle Stress in Shaft)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2)))^(1/3)

Permissible Value of Maximum Principle Stress

LaTeX Go Maximum Principle Stress in Shaft = 16/(pi*Diameter of Shaft from MPST^3)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2))

Permissible Value of Maximum Principle Stress using Factor of Safety

LaTeX Go Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft

Factor of Safety given Permissible Value of Maximum Principle Stress

LaTeX Go Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft

Equivalent Bending Moment given Torsional Moment Formula

LaTeX Go

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)
Mb_eq = M_{b MSST}+sqrt(M_{b MSST}^2+Mt_t^2)

Define Torsional Moment?

Torsional moment, also known as torque, is the twisting force applied to an object that causes it to rotate around its axis. It occurs when forces are applied in such a way that they create rotation rather than linear motion. The magnitude of the torsional moment depends on the amount of force and the distance from the axis of rotation. It plays a key role in mechanical systems like shafts, where it is crucial for transmitting rotational power efficiently. Proper management of torsional moments is essential to prevent twisting or failure of components.

How to Calculate Equivalent Bending Moment given Torsional Moment?

Equivalent Bending Moment given Torsional Moment calculator 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 calculate 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 calculate Equivalent Bending Moment given Torsional Moment using this online calculator? To use this online calculator 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. Here is how the Equivalent Bending Moment given Torsional Moment calculation can be explained with given input values -> 2E+9 = 980+sqrt(980^2+387.5821^2).

FAQ

What is Equivalent Bending Moment given Torsional Moment?

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 and is represented as Mb_eq = M_{b MSST}+sqrt(M_{b MSST}^2+Mt_t^2) or 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). Bending Moment in Shaft for MSST is the maximum twisting force that causes shear stress in a shaft, affecting its structural integrity and stability & 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.

How to calculate Equivalent Bending Moment given Torsional Moment?

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 is calculated using 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 calculate Equivalent Bending Moment given Torsional Moment, you need Bending Moment in Shaft for MSST (M_{b MSST}) & Torsional Moment in Shaft for MSST (Mt_t). With our tool, you need to enter the respective value for Bending Moment in Shaft for MSST & Torsional Moment in Shaft for MSST 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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