Diameter of shaft given torque transmitted by shaft Calculator

✖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]			+10% -10%
✖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 given torque transmitted by shaft [d_s]

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Formula

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Diameter of shaft given torque transmitted by shaft

Formula

`"d"_{"s"} = ((16*"T"_{"shaft"})/(pi*"𝜏"))^(1/3)`

Example

`"50.30796mm"=((16*"50N*m")/(pi*"2MPa"))^(1/3)`

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Download Torsion of Shafts And Springs Formula PDF

Diameter of shaft given torque transmitted by shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Torque transmitted by shaft: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Shear Stress in Shaft: 2 Megapascal --> 2000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = ((16*T_shaft)/(pi*𝜏))^(1/3) --> ((16*50)/(pi*2000000))^(1/3)

Evaluating ... ...

d_s = 0.0503079599160436

STEP 3: Convert Result to Output's Unit

0.0503079599160436 Meter -->50.3079599160436 Millimeter (Check conversion here)

FINAL ANSWER

50.3079599160436 ≈ 50.30796 Millimeter <-- Diameter of Shaft

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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

Diameter of shaft given torque transmitted by shaft Formula

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

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 Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft calculator uses Diameter of Shaft = ((16*Torque transmitted by shaft)/(pi*Shear Stress in Shaft))^(1/3) to calculate the Diameter of Shaft, Diameter of shaft given torque transmitted by shaft is defined as a chord that runs through the center point of the circle. Diameter of Shaft is denoted by d_s symbol.

How to calculate Diameter of shaft given torque transmitted by shaft using this online calculator? To use this online calculator for Diameter of shaft given torque transmitted by shaft, enter Torque transmitted by shaft (T_shaft) & Shear Stress in Shaft (𝜏) and hit the calculate button. Here is how the Diameter of shaft given torque transmitted by shaft calculation can be explained with given input values -> 50307.96 = ((16*50)/(pi*2000000))^(1/3).

FAQ

What is Diameter of shaft given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft is defined as a chord that runs through the center point of the circle and is represented as d_s = ((16*T_shaft)/(pi*𝜏))^(1/3) or Diameter of Shaft = ((16*Torque transmitted by shaft)/(pi*Shear Stress in Shaft))^(1/3). 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 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 given torque transmitted by shaft?

Diameter of shaft given torque transmitted by shaft is defined as a chord that runs through the center point of the circle is calculated using Diameter of Shaft = ((16*Torque transmitted by shaft)/(pi*Shear Stress in Shaft))^(1/3). To calculate Diameter of shaft given torque transmitted by shaft, you need Torque transmitted by shaft (T_shaft) & Shear Stress in Shaft (𝜏). With our tool, you need to enter the respective value for Torque transmitted by shaft & Shear Stress in 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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