Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment 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 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 [T]			+10% -10%

✖The Outer Radius of Shaft is the distance from the center to the outer edge of a hollow circular shaft, influencing its torque transmission capacity.ⓘ Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment [r_o]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Torque Transmitted by a Hollow Circular Shaft Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment
r_o = (2*pi*𝜏_s*(r^2)*b_r)/T
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Outer Radius of Shaft - (Measured in Meter) - The Outer Radius of Shaft is the distance from the center to the outer edge of a hollow circular shaft, influencing its torque transmission capacity.
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.
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.

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)
Turning Moment: 4 Newton Meter --> 4 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_o = (2*pi*𝜏_s*(r^2)*b_r)/T --> (2*pi*111408500*(0.002^2)*0.005)/4

Evaluating ... ...

r_o = 3.50000125147459

STEP 3: Convert Result to Output's Unit

3.50000125147459 Meter -->3500.00125147459 Millimeter (Check conversion here)

FINAL ANSWER

3500.00125147459 ≈ 3500.001 Millimeter <-- Outer Radius of Shaft

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Torque Transmitted by a Hollow Circular Shaft » Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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))

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

LaTeX Go

Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment
r_o = (2*pi*𝜏_s*(r^2)*b_r)/T

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

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment calculator uses Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment to calculate the Outer Radius of Shaft, Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment formula is defined as a method to determine the outer radius of a shaft based on the turning force applied to an elementary ring, considering the torque transmitted through a hollow circular shaft. Outer Radius of Shaft is denoted by r_o symbol.

How to calculate Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment using this online calculator? To use this online calculator for Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment, enter Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r), Thickness of Ring (b_r) & Turning Moment (T) and hit the calculate button. Here is how the Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment calculation can be explained with given input values -> 528116.1 = (2*pi*111408500*(0.002^2)*0.005)/4.

FAQ

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

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment formula is defined as a method to determine the outer radius of a shaft based on the turning force applied to an elementary ring, considering the torque transmitted through a hollow circular shaft and is represented as r_o = (2*pi*𝜏_s*(r^2)*b_r)/T or Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment. 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 Turning Moment is the measure of the rotational force transmitted by a hollow circular shaft, essential for understanding its performance in mechanical systems.

How to calculate Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment?

Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment formula is defined as a method to determine the outer radius of a shaft based on the turning force applied to an elementary ring, considering the torque transmitted through a hollow circular shaft is calculated using Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Moment. To calculate Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment, you need Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r), Thickness of Ring (b_r) & Turning Moment (T). With our tool, you need to enter the respective value for Maximum Shear Stress, Radius of Elementary Circular Ring, Thickness of Ring & Turning Moment 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 Outer Radius of Shaft?

In this formula, Outer Radius of Shaft uses Maximum Shear Stress, Radius of Elementary Circular Ring, Thickness of Ring & Turning Moment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Force
Outer Radius of Shaft = (Maximum Shear Stress*Radius of Elementary Circular Ring)/Shear Stress at Elementary Ring

Home

FREE PDFs

🔍 Search