Turning Moment on Elementary Ring Calculator

✖The Maximum Shear Stress is the highest stress experienced by a material in a hollow circular shaft when subjected to torque, influencing its structural integrity and performance.ⓘ Maximum Shear Stress [𝜏_s]			+10% -10%
✖The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts.ⓘ Radius of Elementary Circular Ring [r]			+10% -10%
✖The Thickness of Ring is the measurement of the width of a hollow circular shaft, which influences its strength and the torque it can transmit.ⓘ Thickness of Ring [b_r]			+10% -10%
✖The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.ⓘ Outer Diameter of Shaft [d_o]			+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.ⓘ Turning Moment on Elementary Ring [T]

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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_s*(r^3)*b_r)/d_o
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) - 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 - (Measured in Pascal) - The Maximum Shear Stress is the highest stress experienced by a material in a hollow circular shaft when subjected to torque, influencing its structural integrity and performance.
Radius of Elementary Circular Ring - (Measured in Meter) - The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts.
Thickness of Ring - (Measured in Meter) - The Thickness of Ring is the measurement of the width of a hollow circular shaft, which influences its strength and the torque it can transmit.
Outer Diameter of Shaft - (Measured in Meter) - The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress: 111.4085 Megapascal --> 111408500 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: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (4*pi*𝜏_s*(r^3)*b_r)/d_o --> (4*pi*111408500*(0.002^3)*0.005)/0.014

Evaluating ... ...

T = 4.00000143025667

STEP 3: Convert Result to Output's Unit

4.00000143025667 Newton Meter --> No Conversion Required

FINAL ANSWER

4.00000143025667 ≈ 4.000001 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

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))

Turning Moment on Elementary Ring Formula

LaTeX Go

Turning Moment = (4*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^3)*Thickness of Ring)/Outer Diameter of Shaft
T = (4*pi*𝜏_s*(r^3)*b_r)/d_o

What is Turning Moment?

The turning moment, also known as torque, is the measure of a force's ability to cause an object to rotate around a specific axis or pivot point. It depends on the force's magnitude and its perpendicular distance from the pivot. Turning moments are crucial in mechanics and engineering as they help determine the effectiveness of forces applied to rotate or stabilize structures, machines, and vehicles.

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, Turning Moment on Elementary Ring formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the shear stress, radius, and width of the ring. It is essential for understanding the mechanical performance of cylindrical structures under load. 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_s), Radius of Elementary Circular Ring (r), Thickness of Ring (b_r) & Outer Diameter of Shaft (d_o) and hit the calculate button. Here is how the Turning Moment on Elementary Ring calculation can be explained with given input values -> 4.000001 = (4*pi*111408500*(0.002^3)*0.005)/0.014.

FAQ

What is Turning Moment on Elementary Ring?

Turning Moment on Elementary Ring formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the shear stress, radius, and width of the ring. It is essential for understanding the mechanical performance of cylindrical structures under load and is represented as T = (4*pi*𝜏_s*(r^3)*b_r)/d_o or Turning Moment = (4*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^3)*Thickness of Ring)/Outer Diameter of Shaft. The Maximum Shear Stress is the highest stress experienced by a material in a hollow circular shaft when subjected to torque, influencing its structural integrity and performance, The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts, The Thickness of Ring is the measurement of the width of a hollow circular shaft, which influences its strength and the torque it can transmit & The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities.

How to calculate Turning Moment on Elementary Ring?

Turning Moment on Elementary Ring formula is defined as a measure of the torque transmitted by a hollow circular shaft, taking into account the shear stress, radius, and width of the ring. It is essential for understanding the mechanical performance of cylindrical structures under load 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_s), Radius of Elementary Circular Ring (r), Thickness of Ring (b_r) & Outer Diameter of Shaft (d_o). 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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