Shear Stress on Left Surface of Shaft 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%
✖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 [d_s]			+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 Left Surface of Shaft [𝜏]

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Formula

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Shear Stress on Left Surface of Shaft

Formula

`"𝜏" = (16*"τ")/(pi*"d"_{"s"})`

Example

`"0.000212MPa"=(16*"50N*m")/(pi*"1200mm")`

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Download Torsion of Shafts And Springs Formula PDF

Shear Stress on Left Surface of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (16*τ)/(pi*d_s) --> (16*50)/(pi*1.2)

Evaluating ... ...

𝜏 = 212.206590789194

STEP 3: Convert Result to Output's Unit

212.206590789194 Pascal -->0.000212206590789194 Megapascal (Check conversion here)

FINAL ANSWER

0.000212206590789194 ≈ 0.000212 Megapascal <-- Shear stress on surface of shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Torsion of Tapering Shafts » Shear Stress on Left Surface of Shaft

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Shear Stress on Left Surface of Shaft Formula

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

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 Shear Stress on Left Surface of Shaft?

Shear Stress on Left Surface of Shaft calculator uses Shear stress on surface of shaft = (16*Torque Exerted on Wheel)/(pi*Diameter of Shaft) to calculate the Shear stress on surface of shaft, Shear stress on left surface of shaft is component of stress coplanar with material cross-section. Shear stress on surface of shaft is denoted by 𝜏 symbol.

How to calculate Shear Stress on Left Surface of Shaft using this online calculator? To use this online calculator for Shear Stress on Left Surface of Shaft, enter Torque Exerted on Wheel (τ) & Diameter of Shaft (d_s) and hit the calculate button. Here is how the Shear Stress on Left Surface of Shaft calculation can be explained with given input values -> 2.1E-10 = (16*50)/(pi*1.2).

FAQ

What is Shear Stress on Left Surface of Shaft?

Shear stress on left surface of shaft is component of stress coplanar with material cross-section and is represented as 𝜏 = (16*τ)/(pi*d_s) or Shear stress on surface of shaft = (16*Torque Exerted on Wheel)/(pi*Diameter of Shaft). 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 & 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 Shear Stress on Left Surface of Shaft?

Shear stress on left surface of shaft is component of stress coplanar with material cross-section is calculated using Shear stress on surface of shaft = (16*Torque Exerted on Wheel)/(pi*Diameter of Shaft). To calculate Shear Stress on Left Surface of Shaft, you need Torque Exerted on Wheel (τ) & Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Torque Exerted on Wheel & Diameter 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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