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 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 Force is the torque transmitted by a hollow circular shaft, influencing its ability to rotate and perform work efficiently in mechanical systems.ⓘ Turning Force on Elementary Ring [T_f]

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Turning Force on Elementary Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turning Force = (4*pi*Maximum Shear Stress*Radius of Elementary Circular Ring^2*Thickness of Ring)/Outer Diameter of Shaft
T_f = (4*pi*𝜏_s*r^2*b_r)/d_o
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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_f = (4*pi*𝜏_s*r^2*b_r)/d_o --> (4*pi*111408500*0.002^2*0.005)/0.014

Evaluating ... ...

T_f = 2000.00071512833

STEP 3: Convert Result to Output's Unit

2000.00071512833 Newton --> No Conversion Required

FINAL ANSWER

2000.00071512833 ≈ 2000.001 Newton <-- Turning Force

(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))

Turning Force on Elementary Ring Formula

LaTeX Go

Turning Force = (4*pi*Maximum Shear Stress*Radius of Elementary Circular Ring^2*Thickness of Ring)/Outer Diameter of Shaft
T_f = (4*pi*𝜏_s*r^2*b_r)/d_o

What is Turning Force on elementary Ring?

Turning force on an elementary ring refers to the force that causes a small, circular segment within a rotating object to experience rotation. This force arises due to torque, which acts to make the ring spin around a central axis. In dynamics, understanding this force helps analyze how each part of a rotating object contributes to the overall rotational motion. It’s essential in designing systems involving wheels, gears, or discs where distributed forces affect rotational performance and stability.

How to Calculate Turning Force on Elementary Ring?

Turning Force on Elementary Ring calculator uses Turning Force = (4*pi*Maximum Shear Stress*Radius of Elementary Circular Ring^2*Thickness of Ring)/Outer Diameter of Shaft to calculate the Turning Force, Turning Force on Elementary Ring formula is defined as a representation of the torque exerted on a hollow circular shaft. It illustrates the relationship between shear stress, radius, and the dimensions of the ring, providing insight into the mechanical behavior of rotating systems. Turning Force is denoted by T_f symbol.

How to calculate Turning Force on Elementary Ring using this online calculator? To use this online calculator for Turning Force 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 Force on Elementary Ring calculation can be explained with given input values -> 2000.001 = (4*pi*111408500*0.002^2*0.005)/0.014.

FAQ

What is Turning Force on Elementary Ring?

Turning Force on Elementary Ring formula is defined as a representation of the torque exerted on a hollow circular shaft. It illustrates the relationship between shear stress, radius, and the dimensions of the ring, providing insight into the mechanical behavior of rotating systems and is represented as T_f = (4*pi*𝜏_s*r^2*b_r)/d_o or Turning Force = (4*pi*Maximum Shear Stress*Radius of Elementary Circular Ring^2*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 Force on Elementary Ring?

Turning Force on Elementary Ring formula is defined as a representation of the torque exerted on a hollow circular shaft. It illustrates the relationship between shear stress, radius, and the dimensions of the ring, providing insight into the mechanical behavior of rotating systems is calculated using Turning Force = (4*pi*Maximum Shear Stress*Radius of Elementary Circular Ring^2*Thickness of Ring)/Outer Diameter of Shaft. To calculate Turning Force 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.

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