Outer Radius of Shaft using Turning Force 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 Turning Force is the torque transmitted by a hollow circular shaft, influencing its ability to rotate and perform work efficiently in mechanical systems.ⓘ Turning Force [T_f]			+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 [r_o]

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Outer Radius of Shaft using Turning Force on Elementary Ring 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 Force
r_o = (2*pi*𝜏_s*(r^2)*b_r)/T_f
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 Force - (Measured in Newton) - The Turning Force is the torque transmitted by a hollow circular shaft, influencing its ability to rotate and perform work efficiently 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 Force: 2000.001 Newton --> 2000.001 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_o = (2*pi*𝜏_s*(r^2)*b_r)/T_f --> (2*pi*111408500*(0.002^2)*0.005)/2000.001

Evaluating ... ...

r_o = 0.00699999900294967

STEP 3: Convert Result to Output's Unit

0.00699999900294967 Meter -->6.99999900294967 Millimeter (Check conversion here)

FINAL ANSWER

6.99999900294967 ≈ 6.999999 Millimeter <-- Outer Radius of Shaft

(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))

Outer Radius of Shaft using Turning Force on Elementary Ring Formula

LaTeX Go

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

What does the Turning Effect of a Force depend on?

The turning effect of a force, also known as torque, depends on two main factors: the magnitude of the force and the perpendicular distance from the point where the force is applied to the pivot or axis of rotation. A greater force or a longer distance increases the turning effect, making it easier to rotate an object. This principle is used in levers, gears, and tools to amplify force, improving efficiency in mechanical systems.

How to Calculate Outer Radius of Shaft using Turning Force on Elementary Ring?

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

How to calculate Outer Radius of Shaft using Turning Force on Elementary Ring using this online calculator? To use this online calculator for Outer Radius of Shaft using Turning Force on Elementary Ring, enter Maximum Shear Stress (𝜏_s), Radius of Elementary Circular Ring (r), Thickness of Ring (b_r) & Turning Force (T_f) and hit the calculate button. Here is how the Outer Radius of Shaft using Turning Force on Elementary Ring calculation can be explained with given input values -> 6999.999 = (2*pi*111408500*(0.002^2)*0.005)/2000.001.

FAQ

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

Outer Radius of Shaft using Turning Force on Elementary Ring formula is defined as a method to determine the outer radius of a shaft based on the turning force applied to an elementary ring. It helps in analyzing the torque transmission capabilities of hollow circular shafts and is represented as r_o = (2*pi*𝜏_s*(r^2)*b_r)/T_f or Outer Radius of Shaft = (2*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^2)*Thickness of Ring)/Turning Force. 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 Force is the torque transmitted by a hollow circular shaft, influencing its ability to rotate and perform work efficiently in mechanical systems.

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

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

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