Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment Calculator

✖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 in Hollow Shaft [Mt_hollowshaft]			+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 Shear Stress in Hollow Shaft is the shear stress produced in the hollow shaft due to the twisting.ⓘ Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment [𝜏_h]

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Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 Moment in Hollow Shaft: 320000 Newton Millimeter --> 320 Newton Meter (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

𝜏_h = 16*Mt_hollowshaft/(pi*d_o^3*(1-C^4)) --> 16*320/(pi*0.046^3*(1-0.85^4))

Evaluating ... ...

𝜏_h = 35028728.6575477

STEP 3: Convert Result to Output's Unit

35028728.6575477 Pascal -->35.0287286575477 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

35.0287286575477 ≈ 35.02873 Newton per Square Millimeter <-- Torsional Shear Stress in Hollow Shaft

(Calculation completed in 00.004 seconds)

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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 Shear Stress when Shaft is Subjected to Pure Torsional Moment Formula

LaTeX Go

Define Shear Stress

Shear stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. The resultant shear is of great importance in nature, being intimately related to the downslope movement of earth materials and to earthquakes. Shear stress may occur in solids or liquids; in the latter it is related to fluid viscosity.

How to Calculate Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment?

Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment calculator uses Torsional Shear Stress in Hollow Shaft = 16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)) to calculate the Torsional Shear Stress in Hollow Shaft, Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment formula is defined as a measure of the shear stress developed in a hollow shaft when it is subjected to a pure torsional moment, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and reliability. Torsional Shear Stress in Hollow Shaft is denoted by 𝜏_h symbol.

How to calculate Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment using this online calculator? To use this online calculator for Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment, enter Torsional Moment in Hollow Shaft (Mt_hollowshaft), 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 Shear Stress when Shaft is Subjected to Pure Torsional Moment calculation can be explained with given input values -> 3.5E-5 = 16*320/(pi*0.046^3*(1-0.85^4)).

FAQ

What is Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment?

Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment formula is defined as a measure of the shear stress developed in a hollow shaft when it is subjected to a pure torsional moment, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and reliability and is represented as 𝜏_h = 16*Mt_hollowshaft/(pi*d_o^3*(1-C^4)) or Torsional Shear Stress in Hollow Shaft = 16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)). 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, 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 Shear Stress when Shaft is Subjected to Pure Torsional Moment?

Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment formula is defined as a measure of the shear stress developed in a hollow shaft when it is subjected to a pure torsional moment, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and reliability is calculated using Torsional Shear Stress in Hollow Shaft = 16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)). To calculate Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment, you need Torsional Moment in Hollow Shaft (Mt_hollowshaft), 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 Moment 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.

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