Shear stress in 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%
✖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 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 given torque transmitted by shaft [𝜏]

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Formula

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Shear stress in shaft given torque transmitted by shaft

Formula

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

Example

`"0.000147MPa"=(16*"50N*m")/(pi*(("1200mm")^3))`

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Shear stress in shaft given torque transmitted by shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 transmitted by shaft: 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*T_shaft)/(pi*(d_s^3)) --> (16*50)/(pi*(1.2^3))

Evaluating ... ...

𝜏 = 147.365688048051

STEP 3: Convert Result to Output's Unit

147.365688048051 Pascal -->0.000147365688048051 Megapascal (Check conversion here)

FINAL ANSWER

0.000147365688048051 ≈ 0.000147 Megapascal <-- Shear Stress in Shaft

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Flanged Coupling » Shear stress in shaft given torque transmitted by shaft

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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

Shear stress in shaft given torque transmitted by shaft Formula

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

Shear stress in shaft given torque transmitted by shaft calculator uses Shear Stress in Shaft = (16*Torque transmitted by shaft)/(pi*(Diameter of Shaft^3)) to calculate the Shear Stress in Shaft, Shear stress in shaft given torque transmitted by shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Shaft is denoted by 𝜏 symbol.

How to calculate Shear stress in shaft given torque transmitted by shaft using this online calculator? To use this online calculator for Shear stress in shaft given torque transmitted by shaft, enter Torque transmitted by shaft (T_shaft) & Diameter of Shaft (d_s) and hit the calculate button. Here is how the Shear stress in shaft given torque transmitted by shaft calculation can be explained with given input values -> 1.5E-10 = (16*50)/(pi*(1.2^3)).

FAQ

What is Shear stress in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏 = (16*T_shaft)/(pi*(d_s^3)) or Shear Stress in Shaft = (16*Torque transmitted by shaft)/(pi*(Diameter of Shaft^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 & 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 in shaft given torque transmitted by shaft?

Shear stress in shaft given torque transmitted by shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress is calculated using Shear Stress in Shaft = (16*Torque transmitted by shaft)/(pi*(Diameter of Shaft^3)). To calculate Shear stress in shaft given torque transmitted by shaft, you need Torque transmitted by shaft (T_shaft) & Diameter of Shaft (d_s). With our tool, you need to enter the respective value for Torque transmitted by 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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