Torque transmitted by shaft Calculator

✖Shear Stress in Shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in 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 [d_s]			+10% -10%

✖Torque transmitted by shaft 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 transmitted by shaft [T_shaft]

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Formula

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Torque transmitted by shaft

Formula

`"T"_{"shaft"} = (pi*"𝜏"*("d"_{"s"}^3))/16`

Example

`"678584N*m"=(pi*"2MPa"*(("1200mm")^3))/16`

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Download Torsion of Shafts And Springs Formula PDF

Torque transmitted by shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16
T_shaft = (pi*𝜏*(d_s^3))/16
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torque transmitted by shaft - (Measured in Newton Meter) - Torque transmitted by shaft 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 in Shaft - (Measured in Pascal) - Shear Stress in 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 in Shaft: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Diameter of Shaft: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_shaft = (pi*𝜏*(d_s^3))/16 --> (pi*2000000*(1.2^3))/16

Evaluating ... ...

T_shaft = 678584.013175395

STEP 3: Convert Result to Output's Unit

678584.013175395 Newton Meter --> No Conversion Required

FINAL ANSWER

678584.013175395 ≈ 678584 Newton Meter <-- Torque transmitted by shaft

(Calculation completed in 00.004 seconds)

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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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< 16 Flanged Coupling Calculators

Diameter of bolt given torque resisted by n bolts

Go Diameter of Bolt = sqrt((8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*Number of Bolts*Diameter of bolt pitch circle))

Diameter of bolt pitch circle given torque resisted by n bolts

Go Diameter of bolt pitch circle = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Number of Bolts)

Shear stress in bolt given torque resisted by n bolts

Go Shear Stress in Bolt = (8*Torque resisted by bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Number of bolts given torque resisted by n bolts

Go Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Total torque resisted by n number of bolts

Go Torque resisted by bolt = (Number of Bolts*Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)/8

Diameter of bolt given torque resisted by one bolt

Go Diameter of Bolt = sqrt((8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*Diameter of bolt pitch circle))

Diameter of bolt pitch circle given torque resisted by one bolt

Go Diameter of bolt pitch circle = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2))

Shear stress in bolt given torque resisted by one bolt

Go Shear Stress in Bolt = (8*Torque resisted by bolt)/(pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)

Torque resisted by one bolt given shear stress in bolt

Go Torque resisted by bolt = (Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle)/8

Diameter of bolt given maximum load that can be resisted by one bolt

Go Diameter of Bolt = sqrt((4*Load resisted by one bolt)/(pi*Shear Stress in Bolt))

Diameter of shaft given torque transmitted by shaft

Go Diameter of Shaft = ((16*Torque transmitted by shaft)/(pi*Shear Stress in Shaft))^(1/3)

Shear stress in shaft given torque transmitted by shaft

Go Shear Stress in Shaft = (16*Torque transmitted by shaft)/(pi*(Diameter of Shaft^3))

Torque transmitted by shaft

Go Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16

Shear Stress in Bolt using Maximum Load that can be Resisted by One Bolt

Go Shear Stress in Bolt = (4*Load resisted by one bolt)/(pi*(Diameter of Bolt^2))

Maximum amount of load that can be resisted by one bolt

Go Load resisted by one bolt = (Shear Stress in Bolt*pi*(Diameter of Bolt^2))/4

Torque Resisted by One Bolt using Load Resisted by One Bolt

Go Torque resisted by bolt = Load resisted by one bolt*Diameter of bolt pitch circle/2

Torque transmitted by shaft Formula

Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16
T_shaft = (pi*𝜏*(d_s^3))/16

What is Torque and its application?

Torque is the application of force where there is rotational motion. The most obvious example of torque in action is the operation of a crescent wrench loosening a lug nut, and a close second is a playground seesaw.

How to Calculate Torque transmitted by shaft?

Torque transmitted by shaft calculator uses Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16 to calculate the Torque transmitted by shaft, Torque transmitted by shaft is the measure of the force that can cause an object to rotate about an axis. Torque transmitted by shaft is denoted by T_shaft symbol.

How to calculate Torque transmitted by shaft using this online calculator? To use this online calculator for Torque transmitted by shaft, enter Shear Stress in Shaft (𝜏) & Diameter of Shaft (d_s) and hit the calculate button. Here is how the Torque transmitted by shaft calculation can be explained with given input values -> 678584 = (pi*2000000*(1.2^3))/16.

FAQ

What is Torque transmitted by shaft?

Torque transmitted by shaft is the measure of the force that can cause an object to rotate about an axis and is represented as T_shaft = (pi*𝜏*(d_s^3))/16 or Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16. Shear Stress in 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 transmitted by shaft?

Torque transmitted by shaft is the measure of the force that can cause an object to rotate about an axis is calculated using Torque transmitted by shaft = (pi*Shear Stress in Shaft*(Diameter of Shaft^3))/16. To calculate Torque transmitted by shaft, you need Shear Stress in Shaft (𝜏) & Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Shear Stress in 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.

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