Torsional Moment given Torsional Shear Stress in Hollow Shaft Calculator

✖Torsional Shear Stress in Hollow Shaft is the shear stress produced in the hollow shaft due to the twisting.ⓘ Torsional Shear Stress in Hollow Shaft [𝜏_h]			+10% -10%
✖Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Hollow Shaft [d_o]			+10% -10%
✖The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.ⓘ Ratio of Inner to Outer Diameter of Hollow Shaft [C]			+10% -10%

✖Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist.ⓘ Torsional Moment given Torsional Shear Stress in Hollow Shaft [Mt_hollowshaft]

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Torsional Moment given Torsional Shear Stress in Hollow Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16
Mt_hollowshaft = 𝜏_h*(pi*d_o^3*(1-C^4))/16
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torsional Moment in Hollow Shaft - (Measured in Newton Meter) - Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist.
Torsional Shear Stress in Hollow Shaft - (Measured in Pascal) - Torsional Shear Stress in Hollow Shaft is the shear stress produced in the hollow shaft due to the twisting.
Outer Diameter of Hollow Shaft - (Measured in Meter) - Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.
Ratio of Inner to Outer Diameter of Hollow Shaft - The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

STEP 1: Convert Input(s) to Base Unit

Torsional Shear Stress in Hollow Shaft: 35.1 Newton per Square Millimeter --> 35100000 Pascal (Check conversion here)
Outer Diameter of Hollow Shaft: 46 Millimeter --> 0.046 Meter (Check conversion here)
Ratio of Inner to Outer Diameter of Hollow Shaft: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mt_hollowshaft = 𝜏_h*(pi*d_o^3*(1-C^4))/16 --> 35100000*(pi*0.046^3*(1-0.85^4))/16

Evaluating ... ...

Mt_hollowshaft = 320.651089276111

STEP 3: Convert Result to Output's Unit

320.651089276111 Newton Meter -->320651.089276111 Newton Millimeter (Check conversion here)

FINAL ANSWER

320651.089276111 ≈ 320651.1 Newton Millimeter <-- Torsional Moment in Hollow Shaft

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Design of Hollow Shaft Calculators

Tensile Stress in Hollow Shaft when Subjected to Axial Force

LaTeX Go Tensile Stress in Hollow Shaft = Axial Force on Hollow Shaft/(pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2))

Inner Diameter of Hollow Shaft given Ratio of Diameters

LaTeX Go Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft

Ratio of Inner Diameter to Outer Diameter

LaTeX Go Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft

Outer Diameter given Ratio of Diameters

LaTeX Go Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Ratio of Inner to Outer Diameter of Hollow Shaft

Torsional Moment given Torsional Shear Stress in Hollow Shaft Formula

LaTeX Go

Define Torsion

In the field of solid mechanics, torsion is the twisting of an object due to an applied torque. Torsion is expressed in either the Pascal (Pa), an SI unit for newtons per square metre, or in pounds per square inch (psi) while torque is expressed in newton metres (N·m) or foot-pound force (ft·lbf). In sections perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius.

How to Calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

Torsional Moment given Torsional Shear Stress in Hollow Shaft calculator uses Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16 to calculate the Torsional Moment in Hollow Shaft, Torsional Moment given Torsional Shear Stress in Hollow Shaft formula is defined as the twisting force that causes shear stress in a hollow shaft, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and resistance to torsional loads. Torsional Moment in Hollow Shaft is denoted by Mt_hollowshaft symbol.

How to calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft using this online calculator? To use this online calculator for Torsional Moment given Torsional Shear Stress in Hollow Shaft, enter Torsional Shear Stress in Hollow Shaft (𝜏_h), Outer Diameter of Hollow Shaft (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (C) and hit the calculate button. Here is how the Torsional Moment given Torsional Shear Stress in Hollow Shaft calculation can be explained with given input values -> 3.2E+8 = 35100000*(pi*0.046^3*(1-0.85^4))/16.

FAQ

What is Torsional Moment given Torsional Shear Stress in Hollow Shaft?

Torsional Moment given Torsional Shear Stress in Hollow Shaft formula is defined as the twisting force that causes shear stress in a hollow shaft, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and resistance to torsional loads and is represented as Mt_hollowshaft = 𝜏_h*(pi*d_o^3*(1-C^4))/16 or Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16. Torsional Shear Stress in Hollow Shaft is the shear stress produced in the hollow shaft due to the twisting, Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft & The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

How to calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

Torsional Moment given Torsional Shear Stress in Hollow Shaft formula is defined as the twisting force that causes shear stress in a hollow shaft, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and resistance to torsional loads is calculated using Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16. To calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft, you need Torsional Shear Stress in Hollow Shaft (𝜏_h), Outer Diameter of Hollow Shaft (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (C). With our tool, you need to enter the respective value for Torsional Shear Stress in Hollow Shaft, Outer Diameter of Hollow Shaft & Ratio of Inner to Outer Diameter of Hollow 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 Torsional Moment in Hollow Shaft?

In this formula, Torsional Moment in Hollow Shaft uses Torsional Shear Stress in Hollow Shaft, Outer Diameter of Hollow Shaft & Ratio of Inner to Outer Diameter of Hollow Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -

Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft)

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