Torque on Tapering Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16
τ = (𝜏*pi*ds)/16
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
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.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
STEP 1: Convert Input(s) to Base Unit
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)
Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = (𝜏*pi*ds)/16 --> (4*pi*1.2)/16
Evaluating ... ...
τ = 0.942477796076938
STEP 3: Convert Result to Output's Unit
0.942477796076938 Newton Meter --> No Conversion Required
FINAL ANSWER
0.942477796076938 0.942478 Newton Meter <-- Torque Exerted on Wheel
(Calculation completed in 00.004 seconds)

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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7 Torsion of Tapering Shafts Calculators

Modulus of Rigidity of Shaft given Total Angle of Twist for Shaft
Go Modulus of rigidity of Shaft = (32*Torque Exerted on Wheel*Length of Shaft*(1/(Diameter of shaft at left end^3)-1/(Diameter of shaft at right end^3)))/(pi*Angle of twist*(Diameter of shaft at right end-Diameter of shaft at left end))
Torque on Shaft given Total Angle of Twist for Shaft
Go Torque Exerted on Wheel = (Angle of twist*pi*Modulus of rigidity of Shaft*(Diameter of shaft at right end-Diameter of shaft at left end))/(32*Length of Shaft*(1/(Diameter of shaft at left end^3)-1/(Diameter of shaft at right end^3)))
Length of Shaft given Total Angle of Twist for Shaft
Go Length of Shaft = (Angle of twist*pi*Modulus of rigidity of Shaft*(Diameter of shaft at right end-Diameter of shaft at left end))/(32*Torque Exerted on Wheel*(1/(Diameter of shaft at left end^3)-1/(Diameter of shaft at right end^3)))
Total Angle of Twist for Shaft
Go Angle of twist = (32*Torque Exerted on Wheel*Length of Shaft*(1/(Diameter of shaft at left end^3)-1/(Diameter of shaft at right end^3)))/(pi*Modulus of rigidity of Shaft*(Diameter of shaft at right end-Diameter of shaft at left end))
Shear Stress on Left Surface of Shaft
Go Shear stress on surface of shaft = (16*Torque Exerted on Wheel)/(pi*Diameter of Shaft)
Diameter of Shaft at Left End
Go Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi)
Torque on Tapering Shaft
Go Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16

Torque on Tapering Shaft Formula

Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16
τ = (𝜏*pi*ds)/16

What is angle of twist and angle of shear?

The angle of shear is given by the angle of the deformation that comes up on the sides when deformation force or shearing stress is exerted on an object. The angle of twist is given as the angle along with which an element of a rotating machine rotates or twists w.r.t its free end.

How to Calculate Torque on Tapering Shaft?

Torque on Tapering Shaft calculator uses Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16 to calculate the Torque Exerted on Wheel, Torque on tapering shaft is measure of force that can cause object to rotate about axis. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Torque on Tapering Shaft using this online calculator? To use this online calculator for Torque on Tapering Shaft, enter Shear stress on surface of shaft (𝜏) & Diameter of Shaft (ds) and hit the calculate button. Here is how the Torque on Tapering Shaft calculation can be explained with given input values -> 0.942478 = (4*pi*1.2)/16.

FAQ

What is Torque on Tapering Shaft?
Torque on tapering shaft is measure of force that can cause object to rotate about axis and is represented as τ = (𝜏*pi*ds)/16 or Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16. 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 & The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
How to calculate Torque on Tapering Shaft?
Torque on tapering shaft is measure of force that can cause object to rotate about axis is calculated using Torque Exerted on Wheel = (Shear stress on surface of shaft*pi*Diameter of Shaft)/16. To calculate Torque on Tapering Shaft, you need Shear stress on surface of shaft (𝜏) & Diameter of Shaft (ds). With our tool, you need to enter the respective value for Shear stress on surface of shaft & 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 Torque Exerted on Wheel?
In this formula, Torque Exerted on Wheel uses Shear stress on surface of shaft & Diameter of Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Torque Exerted on Wheel = (Angle of twist*pi*Modulus of rigidity of Shaft*(Diameter of shaft at right end-Diameter of shaft at left end))/(32*Length of Shaft*(1/(Diameter of shaft at left end^3)-1/(Diameter of shaft at right end^3)))
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