Torsional Moment given Equivalent Bending Moment Calculator

✖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 from MSST [Mb_eq]			+10% -10%
✖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 given Equivalent Bending Moment [Mt_t]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Maximum Shear Stress and Principal Stress Theory Formulas PDF PDF Image

Torsional Moment given Equivalent Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Equivalent Bending Moment from MSST: 2033859.51 Newton Millimeter --> 2033.85951 Newton Meter (Check conversion here)
Bending Moment in Shaft for MSST: 980000 Newton Millimeter --> 980 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_t = sqrt((Mb_eq-M_{b MSST})^2-M_{b MSST}^2) --> sqrt((2033.85951-980)^2-980^2)

Evaluating ... ...

Mt_t = 387.58207752351

STEP 3: Convert Result to Output's Unit

387.58207752351 Newton Meter -->387582.07752351 Newton Millimeter (Check conversion here)

FINAL ANSWER

387582.07752351 ≈ 387582.1 Newton Millimeter <-- Torsional Moment in Shaft for MSST

(Calculation completed in 00.008 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Shafts » Mechanical » Maximum Shear Stress and Principal Stress Theory » Torsional Moment given Equivalent Bending Moment

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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

Torsional Moment given Equivalent Bending Moment Formula

LaTeX Go

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

Define Torsion?

Torsion is the twisting force applied to an object, causing it to rotate around its axis. It occurs when a moment is applied at one end of a shaft or beam, resulting in shear stress distributed across the material. Torsion is a critical factor in the design and analysis of mechanical components like shafts, beams, and torsion bars, as it influences their strength and deformation. Understanding torsion is essential for ensuring that structures can safely withstand twisting forces without failing or deforming excessively.

How to Calculate Torsional Moment given Equivalent Bending Moment?

Torsional Moment given Equivalent Bending Moment calculator 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 calculate 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 calculate Torsional Moment given Equivalent Bending Moment using this online calculator? To use this online calculator 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. Here is how the Torsional Moment given Equivalent Bending Moment calculation can be explained with given input values -> 3.8E+8 = sqrt((2033.85951-980)^2-980^2).

FAQ

What is Torsional Moment given Equivalent Bending Moment?

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

How to calculate Torsional Moment given Equivalent Bending Moment?

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

How many ways are there to calculate Torsional Moment in Shaft for MSST?

In this formula, Torsional Moment in Shaft for MSST uses Equivalent Bending Moment from MSST & Bending Moment in Shaft for MSST. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

Home

FREE PDFs

🔍 Search