Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Calculator

✖Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress on Shaft [𝜏_max]			+10% -10%
✖Outer Radius Of Hollow circular Cylinder of any figure is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius Of Hollow circular Cylinder [r_hollow]			+10% -10%
✖Inner Radius Of Hollow Circular Cylinder of any figure is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius Of Hollow Circular Cylinder [r_inner]			+10% -10%

✖Turning moment where the turning force is called a torque and the effect it produces is called a moment.ⓘ Total Turning Moment on Hollow Circular Shaft given Radius of Shaft [T]

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Formula

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Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

Formula

`"T" = (pi*"𝜏"_{"max"}*(("r"_{"hollow"}^4)-("r"_{"inner"}^4)))/(2*"r"_{"hollow"})`

Example

`"8284.166N*m"=(pi*"0.0001MPa"*((("5500mm")^4)-(("5000mm")^4)))/(2*"5500mm")`

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Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)
T = (pi*𝜏_max*((r_hollow^4)-(r_inner^4)))/(2*r_hollow)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Turning moment - (Measured in Newton Meter) - Turning moment where the turning force is called a torque and the effect it produces is called a moment.
Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.
Outer Radius Of Hollow circular Cylinder - (Measured in Meter) - Outer Radius Of Hollow circular Cylinder of any figure is the radius of a larger circle of the two concentric circles that form its boundary.
Inner Radius Of Hollow Circular Cylinder - (Measured in Meter) - Inner Radius Of Hollow Circular Cylinder of any figure is the radius of its cavity and the smaller radius among two concentric circles.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Outer Radius Of Hollow circular Cylinder: 5500 Millimeter --> 5.5 Meter (Check conversion here)
Inner Radius Of Hollow Circular Cylinder: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (pi*𝜏_max*((r_hollow^4)-(r_inner^4)))/(2*r_hollow) --> (pi*100*((5.5^4)-(5^4)))/(2*5.5)

Evaluating ... ...

T = 8284.16562801718

STEP 3: Convert Result to Output's Unit

8284.16562801718 Newton Meter --> No Conversion Required

FINAL ANSWER

8284.16562801718 ≈ 8284.166 Newton Meter <-- Turning moment

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Torque Transmitted by a Hollow Circular Shaft » Total Turning Moment on Hollow Circular Shaft given Radius 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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< 16 Torque Transmitted by a Hollow Circular Shaft Calculators

Maximum Shear Stress at Outer Surface given Total Turning Moment on Hollow Circular Shaft

Go Maximum Shear Stress on Shaft = (Turning moment*2*Outer Radius Of Hollow circular Cylinder)/(pi*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

Go Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)

Radius of Elementary Ring given Turning Force of Elementary Ring

Go Radius of elementary circular ring = sqrt((Turning force*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))

Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft

Go Maximum Shear Stress on Shaft = (16*Outer Diameter of Shaft*Turning moment)/(pi*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

Go Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)

Radius of Elementary Ring given Turning Moment of Elementary Ring

Go Radius of elementary circular ring = ((Turning moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of ring))^(1/3)

Maximum Shear Stress Induced at Outer Surface given Turning Moment on Elementary Ring

Go Maximum Shear Stress = (Turning moment*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^3)*Thickness of ring)

Maximum Shear Stress at Outer Surface given Turning Force on Elementary Ring

Go Maximum Shear Stress = (Turning force*Outer Diameter of Shaft)/(4*pi*(Radius of elementary circular ring^2)*Thickness of ring)

Turning Moment on Elementary Ring

Go Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft

Turning Force on Elementary Ring

Go Turning force = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Outer Diameter of Shaft

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment

Go Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment

Outer Radius of Shaft using Turning Force on Elementary Ring

Go Outer Radius Of shaft = (2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning force

Maximum shear stress induced at outer surface given shear stress of elementary ring

Go Maximum Shear Stress = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Radius of elementary circular ring)

Radius of Elementary Ring given Shear Stress of Elementary Ring

Go Radius of elementary circular ring = (Outer Diameter of Shaft*Shear stress at elementary ring)/(2*Maximum Shear Stress)

Shear Stress at Elementary Ring of Hollow Circular Shaft

Go Shear stress at elementary ring = (2*Maximum Shear Stress*Radius of elementary circular ring)/Outer Diameter of Shaft

Outer Radius of Shaft given Shear Stress of Elementary Ring

Go Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft Formula

What does the turning effect of a force depend on?

The effect that a force has in turning an object round depends on the size of the force the perpendicular (shortest) distance between the force line and the pivot (the axis of rotation).

How to Calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft calculator uses Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder) to calculate the Turning moment, The Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a force that may cause an object to turn about a pivot. The turning effect of a force is called the moment of the force. Turning moment is denoted by T symbol.

How to calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft using this online calculator? To use this online calculator for Total Turning Moment on Hollow Circular Shaft given Radius of Shaft, enter Maximum Shear Stress on Shaft (𝜏_max), Outer Radius Of Hollow circular Cylinder (r_hollow) & Inner Radius Of Hollow Circular Cylinder (r_inner) and hit the calculate button. Here is how the Total Turning Moment on Hollow Circular Shaft given Radius of Shaft calculation can be explained with given input values -> 8284.166 = (pi*100*((5.5^4)-(5^4)))/(2*5.5).

FAQ

What is Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

The Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a force that may cause an object to turn about a pivot. The turning effect of a force is called the moment of the force and is represented as T = (pi*𝜏_max*((r_hollow^4)-(r_inner^4)))/(2*r_hollow) or Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder). Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces, Outer Radius Of Hollow circular Cylinder of any figure is the radius of a larger circle of the two concentric circles that form its boundary & Inner Radius Of Hollow Circular Cylinder of any figure is the radius of its cavity and the smaller radius among two concentric circles.

How to calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft?

The Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a force that may cause an object to turn about a pivot. The turning effect of a force is called the moment of the force is calculated using Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder). To calculate Total Turning Moment on Hollow Circular Shaft given Radius of Shaft, you need Maximum Shear Stress on Shaft (𝜏_max), Outer Radius Of Hollow circular Cylinder (r_hollow) & Inner Radius Of Hollow Circular Cylinder (r_inner). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft, Outer Radius Of Hollow circular Cylinder & Inner Radius Of Hollow Circular Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Turning moment?

In this formula, Turning moment uses Maximum Shear Stress on Shaft, Outer Radius Of Hollow circular Cylinder & Inner Radius Of Hollow Circular Cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)
Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft

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