Diameter of Shaft at Left End Calculator

✖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.ⓘ Torque Exerted on Wheel [τ]			+10% -10%
✖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.ⓘ Shear stress on surface of shaft [𝜏]			+10% -10%

✖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.ⓘ Diameter of Shaft at Left End [d_s]

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Diameter of Shaft at Left End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi)
d_s = (16*τ)/(𝜏*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Shear stress on surface of shaft: 4E-06 Megapascal --> 4 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = (16*τ)/(𝜏*pi) --> (16*50)/(4*pi)

Evaluating ... ...

d_s = 63.6619772367581

STEP 3: Convert Result to Output's Unit

63.6619772367581 Meter -->63661.9772367581 Millimeter (Check conversion here)

FINAL ANSWER

63661.9772367581 ≈ 63661.98 Millimeter <-- Diameter of Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Torsion of Tapering Shafts » Diameter of Shaft at Left End

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National Institute Of Technology (NIT), Hamirpur

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< Torsion of Tapering Shafts Calculators

Total Angle of Twist for Shaft

LaTeX 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

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

Diameter of Shaft at Left End

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

Torque on Tapering Shaft

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

Diameter of Shaft at Left End Formula

LaTeX Go

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

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 Diameter of Shaft at Left End?

Diameter of Shaft at Left End calculator uses Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi) to calculate the Diameter of Shaft, Diameter of shaft at left end is a chord that runs through center point of circle. It is longest possible chord of any circle. Diameter of Shaft is denoted by d_s symbol.

How to calculate Diameter of Shaft at Left End using this online calculator? To use this online calculator for Diameter of Shaft at Left End, enter Torque Exerted on Wheel (τ) & Shear stress on surface of shaft (𝜏) and hit the calculate button. Here is how the Diameter of Shaft at Left End calculation can be explained with given input values -> 6.4E+7 = (16*50)/(4*pi).

FAQ

What is Diameter of Shaft at Left End?

Diameter of shaft at left end is a chord that runs through center point of circle. It is longest possible chord of any circle and is represented as d_s = (16*τ)/(𝜏*pi) or Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi). 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 is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Diameter of Shaft at Left End?

Diameter of shaft at left end is a chord that runs through center point of circle. It is longest possible chord of any circle is calculated using Diameter of Shaft = (16*Torque Exerted on Wheel)/(Shear stress on surface of shaft*pi). To calculate Diameter of Shaft at Left End, you need Torque Exerted on Wheel (τ) & Shear stress on surface of shaft (𝜏). With our tool, you need to enter the respective value for Torque Exerted on Wheel & 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.

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