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_m]			+10% -10%
✖The Outer Radius Of Hollow Circular Cylinder is the distance from the center to the outer edge of a hollow cylinder, crucial for understanding its structural properties and torque transmission.ⓘ Outer Radius Of Hollow circular Cylinder [r_h]			+10% -10%
✖The Inner Radius Of Hollow Circular Cylinder is the distance from the center to the inner surface of a hollow cylinder, influencing its structural integrity and torque transmission.ⓘ Inner Radius Of Hollow Circular Cylinder [r_i]			+10% -10%

✖The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.ⓘ Total Turning Moment on Hollow Circular Shaft given Radius of Shaft [T]

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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_m*((r_h^4)-(r_i^4)))/(2*r_h)
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) - The Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.
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) - The Outer Radius Of Hollow Circular Cylinder is the distance from the center to the outer edge of a hollow cylinder, crucial for understanding its structural properties and torque transmission.
Inner Radius Of Hollow Circular Cylinder - (Measured in Meter) - The Inner Radius Of Hollow Circular Cylinder is the distance from the center to the inner surface of a hollow cylinder, influencing its structural integrity and torque transmission.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 3.2E-07 Megapascal --> 0.32 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_m*((r_h^4)-(r_i^4)))/(2*r_h) --> (pi*0.32*((5.5^4)-(5^4)))/(2*5.5)

Evaluating ... ...

T = 26.509330009655

STEP 3: Convert Result to Output's Unit

26.509330009655 Newton Meter --> No Conversion Required

FINAL ANSWER

26.509330009655 ≈ 26.50933 Newton Meter <-- Turning Moment

(Calculation completed in 00.004 seconds)

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< Torque Transmitted by a Hollow Circular Shaft Calculators

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 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 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)

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 Radius of Shaft Formula

LaTeX Go

What is Total Turning Moment?

The total turning moment is the combined effect of all individual turning forces (torques) acting on an object around a particular axis. It is calculated by summing the individual moments from each force applied at various points, taking into account their distances from the axis. This total moment determines the object’s overall tendency to rotate, influencing the balance and stability of systems like beams, levers, and rotating machinery in engineering applications.

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, Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the maximum shear stress and the radii of the hollow and inner sections. It is essential for assessing shaft performance. 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_m), Outer Radius Of Hollow circular Cylinder (r_h) & Inner Radius Of Hollow Circular Cylinder (r_i) 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 -> 26.50933 = (pi*0.32*((5.5^4)-(5^4)))/(2*5.5).

FAQ

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

Total Turning Moment on Hollow Circular Shaft given Radius of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the maximum shear stress and the radii of the hollow and inner sections. It is essential for assessing shaft performance and is represented as T = (pi*𝜏_m*((r_h^4)-(r_i^4)))/(2*r_h) 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, The Outer Radius Of Hollow Circular Cylinder is the distance from the center to the outer edge of a hollow cylinder, crucial for understanding its structural properties and torque transmission & The Inner Radius Of Hollow Circular Cylinder is the distance from the center to the inner surface of a hollow cylinder, influencing its structural integrity and torque transmission.

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 formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the maximum shear stress and the radii of the hollow and inner sections. It is essential for assessing shaft performance 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_m), Outer Radius Of Hollow circular Cylinder (r_h) & Inner Radius Of Hollow Circular Cylinder (r_i). 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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