Moment of Inertia for Hollow Circular Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
J = pi/32*(dho^(4)-dhi^(4))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Polar Moment of Inertia - (Measured in Meter⁴) - The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.
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 = pi/32*(dho^(4)-dhi^(4)) --> pi/32*(0.04^(4)-0.036^(4))
Evaluating ... ...
J = 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 <-- Polar Moment of Inertia
(Calculation completed in 00.004 seconds)

Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

7 Stress and Strain Calculators

Elongation Circular Tapered Bar
Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Moment of Inertia for Hollow Circular Shaft
Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
Deflection of Fixed Beam with Uniformly Distributed Load
Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)
Deflection of Fixed Beam with Load at Center
Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)
Elongation of Prismatic Bar due to its Own Weight
Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
Axial Elongation of Prismatic Bar due to External Load
Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
Moment of Inertia about Polar Axis
Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Moment of Inertia for Hollow Circular Shaft Formula

Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
J = pi/32*(dho^(4)-dhi^(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 Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4)) to calculate the Polar Moment of Inertia, The Moment of Inertia for Hollow Circular Shaft is a shaft or beam's resistance to being distorted by torsion, as a function of its shape. Polar Moment of Inertia is denoted by J 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 (dho) & Inner Diameter of Hollow Circular Section (dhi) 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 is a shaft or beam's resistance to being distorted by torsion, as a function of its shape and is represented as J = pi/32*(dho^(4)-dhi^(4)) or Polar Moment of Inertia = 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 is a shaft or beam's resistance to being distorted by torsion, as a function of its shape is calculated using Polar Moment of Inertia = 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 (dho) & Inner Diameter of Hollow Circular Section (dhi). 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.
How many ways are there to calculate Polar Moment of Inertia?
In this formula, Polar Moment of Inertia uses Outer Diameter of Hollow Circular Section & Inner Diameter of Hollow Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!