Turning Moment on Elementary Ring Calculator

✖Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.ⓘ Maximum Shear Stress [𝜏_max]			+10% -10%
✖Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.ⓘ Radius of elementary circular ring [r]			+10% -10%
✖Thickness of ring is defined as the distance through an object, as distinct from width or height.ⓘ Thickness of ring [b_ring]			+10% -10%
✖Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Shaft [d_outer]			+10% -10%

✖Turning moment where the turning force is called a torque and the effect it produces is called a moment.ⓘ Turning Moment on Elementary Ring [T]

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Formula

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Turning Moment on Elementary Ring

Formula

`"T" = (4*pi*"𝜏"_{"max"}*("r"^3)*"b"_{"ring"})/"d"_{"outer"}`

Example

`"0.002011N*m"=(4*pi*"16MPa"*(("2mm")^3)*"5mm")/"4000mm"`

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Turning Moment on Elementary Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft
T = (4*pi*𝜏_max*(r^3)*b_ring)/d_outer
This formula uses 1 Constants, 5 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 - (Measured in Pascal) - Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.
Radius of elementary circular ring - (Measured in Meter) - Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.
Thickness of ring - (Measured in Meter) - Thickness of ring is defined as the distance through an object, as distinct from width or height.
Outer Diameter of Shaft - (Measured in Meter) - Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress: 16 Megapascal --> 16000000 Pascal (Check conversion here)
Radius of elementary circular ring: 2 Millimeter --> 0.002 Meter (Check conversion here)
Thickness of ring: 5 Millimeter --> 0.005 Meter (Check conversion here)
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (4*pi*𝜏_max*(r^3)*b_ring)/d_outer --> (4*pi*16000000*(0.002^3)*0.005)/4

Evaluating ... ...

T = 0.00201061929829747

STEP 3: Convert Result to Output's Unit

0.00201061929829747 Newton Meter --> No Conversion Required

FINAL ANSWER

0.00201061929829747 ≈ 0.002011 Newton Meter <-- Turning moment

(Calculation completed in 00.011 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Torque Transmitted by a Hollow Circular Shaft » Turning Moment on Elementary Ring

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National Institute Of Technology (NIT), Hamirpur

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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

Turning Moment on Elementary Ring Formula

Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft
T = (4*pi*𝜏_max*(r^3)*b_ring)/d_outer

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 Turning Moment on Elementary Ring?

Turning Moment on Elementary Ring calculator uses Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft to calculate the Turning moment, The Turning moment on elementary ring 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 Turning Moment on Elementary Ring using this online calculator? To use this online calculator for Turning Moment on Elementary Ring, enter Maximum Shear Stress (𝜏_max), Radius of elementary circular ring (r), Thickness of ring (b_ring) & Outer Diameter of Shaft (d_outer) and hit the calculate button. Here is how the Turning Moment on Elementary Ring calculation can be explained with given input values -> 0.002011 = (4*pi*16000000*(0.002^3)*0.005)/4.

FAQ

What is Turning Moment on Elementary Ring?

The Turning moment on elementary ring 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 = (4*pi*𝜏_max*(r^3)*b_ring)/d_outer or Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft. Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces, Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter, Thickness of ring is defined as the distance through an object, as distinct from width or height & Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

How to calculate Turning Moment on Elementary Ring?

The Turning moment on elementary ring 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 = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft. To calculate Turning Moment on Elementary Ring, you need Maximum Shear Stress (𝜏_max), Radius of elementary circular ring (r), Thickness of ring (b_ring) & Outer Diameter of Shaft (d_outer). With our tool, you need to enter the respective value for Maximum Shear Stress, Radius of elementary circular ring, Thickness of ring & Outer Diameter of Shaft 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, Radius of elementary circular ring, Thickness of ring & Outer Diameter of Shaft. 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 = (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)

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