Shear stress due to torsion at radius 'r' from center Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft
q = (rcenter/rshaft)*𝜏
This formula uses 4 Variables
Variables Used
Shear stress at radius 'r' from shaft - (Measured in Pascal) - Shear stress at radius 'r' from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Radius 'r' from Center Of Shaft - (Measured in Meter) - Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve.
Radius of Shaft - (Measured in Meter) - The Radius of Shaft is the radius of the shaft subjected under torsion.
Shear stress on surface of shaft - (Measured in Pascal) - Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Radius 'r' from Center Of Shaft: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Radius of Shaft: 2000 Millimeter --> 2 Meter (Check conversion here)
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = (rcenter/rshaft)*𝜏 --> (1.5/2)*4
Evaluating ... ...
q = 3
STEP 3: Convert Result to Output's Unit
3 Pascal -->3E-06 Megapascal (Check conversion here)
FINAL ANSWER
3E-06 3E-6 Megapascal <-- Shear stress at radius 'r' from shaft
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

7 Shear Stress Calculators

Shear stress at surface of shaft given shear strain energy in ring of radius 'r'
Go Shear stress on surface of shaft = sqrt((Strain Energy in body*(2*Modulus of rigidity of Shaft*(Radius of Shaft^2)))/(2*pi*Length of Shaft*(Radius 'r' from Center Of Shaft^3)*Length of Small Element))
Shear stress on surface of shaft given total strain energy in hollow shaft
Go Shear stress on surface of shaft = ((Strain Energy in body*(4*Modulus of rigidity of Shaft*(Outer Diameter of Shaft^2)))/(((Outer Diameter of Shaft^2)+(Inner Diameter of Shaft^2))*Volume of Shaft))^(1/2)
Shear Stress at Surface of Shaft given Total Strain Energy Stored in Shaft
Go Shear stress on surface of shaft = sqrt((Strain Energy in body*(2*Modulus of rigidity of Shaft*(Radius of Shaft^2)))/(Length of Shaft*Polar Moment of Inertia of shaft))
Shear stress at surface of shaft given total strain energy in shaft due to torsion
Go Shear stress on surface of shaft = sqrt((Strain Energy in body*4*Modulus of rigidity of Shaft)/(Volume of Shaft))
Shear stress given shear strain energy
Go Shear stress on surface of shaft = sqrt((Strain Energy in body*2*Modulus of rigidity of Shaft)/Volume of Shaft)
Shear stress at surface of shaft given shear stress at radius 'r' from center
Go Shear stress on surface of shaft = Shear stress at radius 'r' from shaft/(Radius 'r' from Center Of Shaft/Radius of Shaft)
Shear stress due to torsion at radius 'r' from center
Go Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft

Shear stress due to torsion at radius 'r' from center Formula

Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft
q = (rcenter/rshaft)*𝜏

Is strain energy a material property?

The strain energy (i.e. the amount of potential energy stored due to the deformation) is equal to the work expended in deforming the material. The total strain energy corresponds to the area under the load-deflection curve.

How to Calculate Shear stress due to torsion at radius 'r' from center?

Shear stress due to torsion at radius 'r' from center calculator uses Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft to calculate the Shear stress at radius 'r' from shaft, Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear stress at radius 'r' from shaft is denoted by q symbol.

How to calculate Shear stress due to torsion at radius 'r' from center using this online calculator? To use this online calculator for Shear stress due to torsion at radius 'r' from center, enter Radius 'r' from Center Of Shaft (rcenter), Radius of Shaft (rshaft) & Shear stress on surface of shaft (𝜏) and hit the calculate button. Here is how the Shear stress due to torsion at radius 'r' from center calculation can be explained with given input values -> 3E-12 = (1.5/2)*4.

FAQ

What is Shear stress due to torsion at radius 'r' from center?
Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as q = (rcenter/rshaft)*𝜏 or Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft. Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve, The Radius of Shaft is the radius of the shaft subjected under torsion & Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
How to calculate Shear stress due to torsion at radius 'r' from center?
Shear stress due to torsion at radius 'r' from center is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear stress at radius 'r' from shaft = (Radius 'r' from Center Of Shaft/Radius of Shaft)*Shear stress on surface of shaft. To calculate Shear stress due to torsion at radius 'r' from center, you need Radius 'r' from Center Of Shaft (rcenter), Radius of Shaft (rshaft) & Shear stress on surface of shaft (𝜏). With our tool, you need to enter the respective value for Radius 'r' from Center Of Shaft, Radius of Shaft & Shear stress on surface of shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!