Total Turning Moment on Hollow Circular Shaft given Diameter 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 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%
✖The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.ⓘ Inner Diameter of Shaft [d_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 Diameter of Shaft [T]

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

STEP 0: Pre-Calculation Summary

Formula Used

Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)
T = (pi*𝜏_max*((d_outer^4)-(d_inner^4)))/(16*d_outer)
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 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.
Inner Diameter of Shaft - (Measured in Meter) - The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Outer Diameter of Shaft: 4000 Millimeter --> 4 Meter (Check conversion here)
Inner Diameter of Shaft: 1000 Millimeter --> 1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (pi*𝜏_max*((d_outer^4)-(d_inner^4)))/(16*d_outer) --> (pi*100*((4^4)-(1^4)))/(16*4)

Evaluating ... ...

T = 1251.72832291468

STEP 3: Convert Result to Output's Unit

1251.72832291468 Newton Meter --> No Conversion Required

FINAL ANSWER

1251.72832291468 ≈ 1251.728 Newton Meter <-- Turning moment

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Torque Transmitted by a Hollow Circular Shaft Calculators

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

LaTeX 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

LaTeX 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)

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

LaTeX 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

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

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

LaTeX Go

Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)
T = (pi*𝜏_max*((d_outer^4)-(d_inner^4)))/(16*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 Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft?

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft calculator uses Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft) to calculate the Turning moment, The Total Turning Moment on Hollow Circular Shaft given Diameter 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 Diameter of Shaft using this online calculator? To use this online calculator for Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft, enter Maximum Shear Stress on Shaft (𝜏_max), Outer Diameter of Shaft (d_outer) & Inner Diameter of Shaft (d_inner) and hit the calculate button. Here is how the Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft calculation can be explained with given input values -> 1251.728 = (pi*100*((4^4)-(1^4)))/(16*4).

FAQ

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

The Total Turning Moment on Hollow Circular Shaft given Diameter 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*((d_outer^4)-(d_inner^4)))/(16*d_outer) or Turning moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft). Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces, Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft & The Inner Diameter of Shaft is defined as the length of the longest chord inside the hollow shaft.

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

The Total Turning Moment on Hollow Circular Shaft given Diameter 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 Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft). To calculate Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft, you need Maximum Shear Stress on Shaft (𝜏_max), Outer Diameter of Shaft (d_outer) & Inner Diameter of Shaft (d_inner). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft, Outer Diameter of Shaft & Inner 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 on Shaft, Outer Diameter of Shaft & Inner 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 Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)
Turning moment = (4*pi*Maximum Shear Stress*(Radius of elementary circular ring^3)*Thickness of ring)/Outer Diameter of Shaft

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