Total Turning Moment on Hollow Circular Shaft given Diameter 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 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 Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.ⓘ Inner Diameter of Shaft [d_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 Diameter of Shaft [T]

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Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft)
T = (pi*𝜏_m*((d_o^4)-(d_i^4)))/(16*d_o)
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 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.
Inner Diameter of Shaft - (Measured in Meter) - The Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 3.2E-07 Megapascal --> 0.32 Pascal (Check conversion here)
Outer Diameter of Shaft: 14 Millimeter --> 0.014 Meter (Check conversion here)
Inner Diameter of Shaft: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (pi*𝜏_m*((d_o^4)-(d_i^4)))/(16*d_o) --> (pi*0.32*((0.014^4)-(0.035^4)))/(16*0.014)

Evaluating ... ...

T = -6.56237864630412E-06

STEP 3: Convert Result to Output's Unit

-6.56237864630412E-06 Newton Meter --> No Conversion Required

FINAL ANSWER

-6.56237864630412E-06 ≈ -6.6E-6 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))

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft Formula

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)
T = (pi*𝜏_m*((d_o^4)-(d_i^4)))/(16*d_o)

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 Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft?

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft calculator uses Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft) to calculate the Turning Moment, Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft based on its outer and inner diameters. This formula helps in understanding the mechanical performance and strength of the shaft under load. Turning Moment is denoted by T symbol.

How to calculate Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft using this online calculator? To use this online calculator for Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft, enter Maximum Shear Stress on Shaft (𝜏_m), Outer Diameter of Shaft (d_o) & Inner Diameter of Shaft (d_i) and hit the calculate button. Here is how the Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft calculation can be explained with given input values -> -6.6E-6 = (pi*0.32*((0.014^4)-(0.035^4)))/(16*0.014).

FAQ

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

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft based on its outer and inner diameters. This formula helps in understanding the mechanical performance and strength of the shaft under load and is represented as T = (pi*𝜏_m*((d_o^4)-(d_i^4)))/(16*d_o) or 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 on Shaft that acts coplanar with a cross-section of material arises due to shear forces, The Outer Diameter of Shaft is the measurement across the widest part of a hollow circular shaft, influencing its strength and torque transmission capabilities & The Inner Diameter of Shaft is the measurement of the internal width of a hollow shaft, crucial for determining its torque transmission capacity.

How to calculate Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft?

Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft formula is defined as a measure of the torque transmitted by a hollow circular shaft based on its outer and inner diameters. This formula helps in understanding the mechanical performance and strength of the shaft under load is calculated using Turning Moment = (pi*Maximum Shear Stress on Shaft*((Outer Diameter of Shaft^4)-(Inner Diameter of Shaft^4)))/(16*Outer Diameter of Shaft). To calculate Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft, you need Maximum Shear Stress on Shaft (𝜏_m), Outer Diameter of Shaft (d_o) & Inner Diameter of Shaft (d_i). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft, Outer Diameter of Shaft & Inner 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 on Shaft, Outer Diameter of Shaft & Inner 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 Radius Of Hollow circular Cylinder^4)-(Inner Radius Of Hollow Circular Cylinder^4)))/(2*Outer Radius Of Hollow circular Cylinder)
Turning Moment = (4*pi*Maximum Shear Stress*(Radius of Elementary Circular Ring^3)*Thickness of Ring)/Outer Diameter of Shaft

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