Torsional Moment given Maximum Shear Stress Calculator

⤿

Design of Shafts

Design of Brakes

Design of Chain Drives

Design of Flywheel

Design of Friction Clutches

Design of Splines

Design of Springs

⤿

Maximum Shear Stress and Principal Stress Theory

ASME Code for Shaft Desgin

Design of Hollow Shaft

Shaft Design on Strength Basis

Torsional Rigidity

✖Diameter of Shaft from MSST is the diameter of the shaft according to the Maximum Shear Stress Theory.ⓘ Diameter of Shaft from MSST [d_MSST]			+10% -10%
✖Maximum Shear Stress in Shaft from MSST is maximum shear stress in a shaft calculated using Maximum Shear Stress Theory.ⓘ Maximum Shear Stress in Shaft from MSST [𝜏_{max MSST}]			+10% -10%
✖Bending Moment in Shaft for MSST 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.ⓘ Bending Moment in Shaft for MSST [M_{b MSST}]			+10% -10%

✖Torsional Moment in Shaft for MSST 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.ⓘ Torsional Moment given Maximum Shear Stress [Mt_t]

⎘ Copy

👎

Formula

✖

Torsional Moment given Maximum Shear Stress

Formula

`"Mt"_{"t"} = sqrt((pi*"d"_{"MSST"}^3*"𝜏"_{"max MSST"}/16)^2-"M"_{"b MSST"}^2)`

Example

`"387582.1N*mm"=sqrt((pi*("45mm")^3*"58.9N/mm²"/16)^2-("9.8E5N*mm")^2)`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF PDF Image

Torsional Moment given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Mt_t = sqrt((pi*d_MSST^3*𝜏_{max MSST}/16)^2-M_{b MSST}^2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 reaction induced in a structural shaft element when an external force or moment is applied to the element, causing the element to twist.
Diameter of Shaft from MSST - (Measured in Meter) - Diameter of Shaft from MSST is the diameter of the shaft according to the Maximum Shear Stress Theory.
Maximum Shear Stress in Shaft from MSST - (Measured in Pascal) - Maximum Shear Stress in Shaft from MSST is maximum shear stress in a shaft calculated using Maximum Shear Stress Theory.
Bending Moment in Shaft for MSST - (Measured in Newton Meter) - Bending Moment in Shaft for MSST 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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft from MSST: 45 Millimeter --> 0.045 Meter (Check conversion here)
Maximum Shear Stress in Shaft from MSST: 58.9 Newton per Square Millimeter --> 58900000 Pascal (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((pi*d_MSST^3*𝜏_{max MSST}/16)^2-M_{b MSST}^2) --> sqrt((pi*0.045^3*58900000/16)^2-980^2)

Evaluating ... ...

Mt_t = 387.582125088048

STEP 3: Convert Result to Output's Unit

387.582125088048 Newton Meter -->387582.125088048 Newton Millimeter (Check conversion here)

FINAL ANSWER

387582.125088048 ≈ 387582.1 Newton Millimeter <-- Torsional Moment in Shaft for MSST

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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

Verified by Akshay Talbar

Vishwakarma University (VU), Pune

Akshay Talbar has verified this Calculator and 10+ more calculators!

< 17 Maximum Shear Stress and Principal Stress Theory Calculators

Factor of Safety for Tri-axial State of Stress

Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

Diameter of Shaft given Permissible Value of Maximum Principle Stress

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

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))

Diameter of Shaft given Principle Shear Stress Maximum Shear Stress Theory

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

Bending Moment given Maximum Shear Stress

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

Torsional Moment given Maximum Shear Stress

Go 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)

Maximum Shear Stress in Shafts

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

Factor of Safety for Bi-Axial State of Stress

Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

Torsional Moment given Equivalent Bending Moment

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)

Equivalent Bending Moment given Torsional Moment

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)

Factor of Safety given Permissible Value of Maximum Shear Stress

Go Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST

Yield Strength in Shear Maximum Shear Stress Theory

Go Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft

Permissible Value of Maximum Shear Stress

Go Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft

Yield Stress in Shear given Permissible Value of Maximum Principle Stress

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

Permissible Value of Maximum Principle Stress using Factor of Safety

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

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

Factor of Safety given Ultimate Stress and Working Stress

Go Factor of Safety = Fracture Stress/Working Stress

Torsional Moment given Maximum Shear Stress Formula

Define Principle Stress

It is defined as the normal stress calculated at an angle when shear stress is considered as zero. The maximum value of normal stress is known as major principal stress and minimum value of normal stress is known as minor principal stress.There are two types of principal stresses; 2-D and 3-D.

How to Calculate Torsional Moment given Maximum Shear Stress?

Torsional Moment given Maximum Shear Stress calculator uses 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) to calculate the Torsional Moment in Shaft for MSST, The Torsional Moment given Maximum Shear Stress formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body. Torsional Moment in Shaft for MSST is denoted by Mt_t symbol.

How to calculate Torsional Moment given Maximum Shear Stress using this online calculator? To use this online calculator for Torsional Moment given Maximum Shear Stress, enter Diameter of Shaft from MSST (d_MSST), Maximum Shear Stress in Shaft from MSST (𝜏_{max MSST}) & Bending Moment in Shaft for MSST (M_{b MSST}) and hit the calculate button. Here is how the Torsional Moment given Maximum Shear Stress calculation can be explained with given input values -> 3.9E+8 = sqrt((pi*0.045^3*58900000/16)^2-980^2).

FAQ

What is Torsional Moment given Maximum Shear Stress?

The Torsional Moment given Maximum Shear Stress formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body and is represented as Mt_t = sqrt((pi*d_MSST^3*𝜏_{max MSST}/16)^2-M_{b MSST}^2) or 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). Diameter of Shaft from MSST is the diameter of the shaft according to the Maximum Shear Stress Theory, Maximum Shear Stress in Shaft from MSST is maximum shear stress in a shaft calculated using Maximum Shear Stress Theory & Bending Moment in Shaft for MSST 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.

How to calculate Torsional Moment given Maximum Shear Stress?

The Torsional Moment given Maximum Shear Stress formula is defined as the moment of a pair of equal and opposite couples which tend to twist a body is calculated using 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). To calculate Torsional Moment given Maximum Shear Stress, you need Diameter of Shaft from MSST (d_MSST), Maximum Shear Stress in Shaft from MSST (𝜏_{max MSST}) & Bending Moment in Shaft for MSST (M_{b MSST}). With our tool, you need to enter the respective value for Diameter of Shaft from MSST, Maximum Shear Stress in Shaft 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 Diameter of Shaft from MSST, Maximum Shear Stress in Shaft 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((Equivalent Bending Moment from MSST-Bending Moment in Shaft for MSST)^2-Bending Moment in Shaft for MSST^2)

Home

FREE PDFs

🔍 Search