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Moment of Inertia for Hollow Circular Shaft Calculator

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Stress and Strain Strain Stress

✖Outer diameter of hollow circular section is the measure of the outermost surface diameter of the 2D concentric circular cross-section.ⓘ Outer Diameter of Hollow Circular Section [d_ho]			+10% -10%
✖Inner diameter of hollow circular section is the measure of the smallest diameter of the 2D concentric circular cross-section.ⓘ Inner Diameter of Hollow Circular Section [d_hi]			+10% -10%

✖Moment of Inertia for Hollow Circular Shaft refers to its ability to resist bending or twisting when subjected to external forces, particularly important in mechanical and structural engineering.ⓘ Moment of Inertia for Hollow Circular Shaft [J_h]

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Moment of Inertia for Hollow Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
J_h = pi/32*(d_ho^(4)-d_hi^(4))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Moment of Inertia for Hollow Circular Shaft - (Measured in Meter⁴) - Moment of Inertia for Hollow Circular Shaft refers to its ability to resist bending or twisting when subjected to external forces, particularly important in mechanical and structural engineering.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer diameter of hollow circular section is the measure of the outermost surface diameter of the 2D concentric circular cross-section.
Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner diameter of hollow circular section is the measure of the smallest diameter of the 2D concentric circular cross-section.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 40 Millimeter --> 0.04 Meter (Check conversion here)
Inner Diameter of Hollow Circular Section: 36 Millimeter --> 0.036 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

J_h = pi/32*(d_ho^(4)-d_hi^(4)) --> pi/32*(0.04^(4)-0.036^(4))

Evaluating ... ...

J_h = 8.64314970855624E-08

STEP 3: Convert Result to Output's Unit

8.64314970855624E-08 Meter⁴ --> No Conversion Required

FINAL ANSWER

8.64314970855624E-08 ≈ 8.6E-8 Meter⁴ <-- Moment of Inertia for Hollow Circular Shaft

(Calculation completed in 00.004 seconds)

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LaTeX Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

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Moment of Inertia about Polar Axis

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Moment of Inertia for Hollow Circular Shaft Formula

LaTeX Go

Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
J_h = pi/32*(d_ho^(4)-d_hi^(4))

What is Moment of Inertia?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).

How to Calculate Moment of Inertia for Hollow Circular Shaft?

Moment of Inertia for Hollow Circular Shaft calculator uses Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4)) to calculate the Moment of Inertia for Hollow Circular Shaft, The Moment of Inertia for Hollow Circular Shaft formula is defined as a measure of an object's resistance to changes in its rotation, which is a critical concept in the analysis of stress and strain in mechanical systems, particularly in the design of circular shafts with hollow cross-sections. Moment of Inertia for Hollow Circular Shaft is denoted by J_h symbol.

How to calculate Moment of Inertia for Hollow Circular Shaft using this online calculator? To use this online calculator for Moment of Inertia for Hollow Circular Shaft, enter Outer Diameter of Hollow Circular Section (d_ho) & Inner Diameter of Hollow Circular Section (d_hi) and hit the calculate button. Here is how the Moment of Inertia for Hollow Circular Shaft calculation can be explained with given input values -> 8.6E-8 = pi/32*(0.04^(4)-0.036^(4)).

FAQ

What is Moment of Inertia for Hollow Circular Shaft?

The Moment of Inertia for Hollow Circular Shaft formula is defined as a measure of an object's resistance to changes in its rotation, which is a critical concept in the analysis of stress and strain in mechanical systems, particularly in the design of circular shafts with hollow cross-sections and is represented as J_h = pi/32*(d_ho^(4)-d_hi^(4)) or Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4)). Outer diameter of hollow circular section is the measure of the outermost surface diameter of the 2D concentric circular cross-section & Inner diameter of hollow circular section is the measure of the smallest diameter of the 2D concentric circular cross-section.

How to calculate Moment of Inertia for Hollow Circular Shaft?

The Moment of Inertia for Hollow Circular Shaft formula is defined as a measure of an object's resistance to changes in its rotation, which is a critical concept in the analysis of stress and strain in mechanical systems, particularly in the design of circular shafts with hollow cross-sections is calculated using Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4)). To calculate Moment of Inertia for Hollow Circular Shaft, you need Outer Diameter of Hollow Circular Section (d_ho) & Inner Diameter of Hollow Circular Section (d_hi). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section 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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