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Torsional Shear Stress in a Shaft(Pure Torsion) Solution

STEP 0: Pre-Calculation Summary
Formula Used
torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3)
𝜏 = 16*(M t ) t/(pi*d^3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torsional Moment - Torsional Moment is the torque applied to generate a torsion (twist) within the object. (Measured in Newton Meter)
Diameter of shaft - The Diameter of shaft is defined as the diameter of the hole in the iron laminations that contains the shaft. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Torsional Moment: 100 Newton Meter --> 100 Newton Meter No Conversion Required
Diameter of shaft: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = 16*(M t ) t/(pi*d^3) --> 16*100/(pi*0.1^3)
Evaluating ... ...
𝜏 = 509295.817894065
STEP 3: Convert Result to Output's Unit
509295.817894065 Pascal -->509295.817894065 Newton per Square Meter (Check conversion here)
FINAL ANSWER
509295.817894065 Newton per Square Meter <-- Torsional Shear Stress
(Calculation completed in 00.016 seconds)

10+ Desgin of Shafts Calculators

Diameter of Shaft When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3) Go
Torsional Moment When Torsional Shear Stress in a Shaft is Given(Pure Torsion)
torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16 Go
Torsional Shear Stress in a Shaft(Pure Torsion)
torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3) Go
Diameter of the Shaft When Bending Stress is Given(Pure Bending)
diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3) Go
Bending Moment When Bending Stress is Given(Pure Bending)
bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32 Go
Bending Stress in the Shaft (Pure Bending Moment)
bending_stress = 32*Bending moment/pi*Diameter of shaft^3 Go
Tensile Stress in the Shaft When It is Subjected to Axial Tensile Force
tensile_stress = 4*Axial Force/pi*Diameter of shaft Go
Diameter of Shaft When Tensile Stress in the Shaft is Given
diameter_of_shaft = 4*Axial Force/pi*Tensile Stress Go
Axial Force When Tensile Stress in the Shaft is Given
axial_force = Tensile Stress*pi*Diameter of shaft/4 Go
Normal Stress When Both Bending and Torsional act on the Shaft
normal_stress = Bending Stress+Tensile Stress Go

Torsional Shear Stress in a Shaft(Pure Torsion) Formula

torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3)
𝜏 = 16*(M t ) t/(pi*d^3)

Define Torsion?

The twisting or wrenching of a body by the exertion of forces tending to turn one end or part about a longitudinal axis while the other is held fast or turned in the opposite direction

How to Calculate Torsional Shear Stress in a Shaft(Pure Torsion)?

Torsional Shear Stress in a Shaft(Pure Torsion) calculator uses torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3) to calculate the Torsional Shear Stress, The Torsional Shear Stress in a Shaft(Pure Torsion) formula is defined as the shear formed by torsion exerted on a beam. shear stress to be exerted along the cross section of the structural member. Torsional Shear Stress and is denoted by 𝜏 symbol.

How to calculate Torsional Shear Stress in a Shaft(Pure Torsion) using this online calculator? To use this online calculator for Torsional Shear Stress in a Shaft(Pure Torsion), enter Torsional Moment ((M t ) t) and Diameter of shaft (d) and hit the calculate button. Here is how the Torsional Shear Stress in a Shaft(Pure Torsion) calculation can be explained with given input values -> 509295.8 = 16*100/(pi*0.1^3).

FAQ

What is Torsional Shear Stress in a Shaft(Pure Torsion)?
The Torsional Shear Stress in a Shaft(Pure Torsion) formula is defined as the shear formed by torsion exerted on a beam. shear stress to be exerted along the cross section of the structural member and is represented as 𝜏 = 16*(M t ) t/(pi*d^3) or torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3). Torsional Moment is the torque applied to generate a torsion (twist) within the object and The Diameter of shaft is defined as the diameter of the hole in the iron laminations that contains the shaft.
How to calculate Torsional Shear Stress in a Shaft(Pure Torsion)?
The Torsional Shear Stress in a Shaft(Pure Torsion) formula is defined as the shear formed by torsion exerted on a beam. shear stress to be exerted along the cross section of the structural member is calculated using torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3). To calculate Torsional Shear Stress in a Shaft(Pure Torsion), you need Torsional Moment ((M t ) t) and Diameter of shaft (d). With our tool, you need to enter the respective value for Torsional Moment and Diameter of shaft 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 Shear Stress?
In this formula, Torsional Shear Stress uses Torsional Moment and Diameter of shaft. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • tensile_stress = 4*Axial Force/pi*Diameter of shaft
  • diameter_of_shaft = 4*Axial Force/pi*Tensile Stress
  • axial_force = Tensile Stress*pi*Diameter of shaft/4
  • bending_stress = 32*Bending moment/pi*Diameter of shaft^3
  • bending_moment = (Bending Stress*pi*Diameter of shaft^3)/32
  • diameter_of_shaft = (32*Bending moment/pi*Bending Stress)^(1/3)
  • torsional_shear_stress = 16*Torsional Moment/(pi*Diameter of shaft^3)
  • torsional_moment = Torsional Shear Stress*pi*(Diameter of shaft^3)/16
  • diameter_of_shaft = (16*Torsional Moment/pi*Torsional Shear Stress)^(1/3)
  • normal_stress = Bending Stress+Tensile Stress
Where is the Torsional Shear Stress in a Shaft(Pure Torsion) calculator used?
Among many, Torsional Shear Stress in a Shaft(Pure Torsion) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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