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Moment of Inertia - Thick-walled Cylinder (I x , I y , ρ I x , I y , ρ ) Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Jul 6, 2016, 1:45:00 PM
I z = π ⋅ ρ ⋅ h 12 ( 3 ( r 4 2 − r 4 1 ) + h 2 ( r 2 2 − r 2 1 ) ) I z = π ⋅ ρ ⋅ h 12 ( 3 ( r 2 4 - r 1 4 ) + h 2 ( r 2 2 - r 1 2 ) )
( r 1 ) Inner radius ( r 1 ) Inner radius ( r 2 ) Outer radius ( r 2 ) Outer radius
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The Moment of Inertia for a thick-walled Cylindrical tube with open ends , of inner radius r 1 r 1 and outer radius r 2 r 2 and density ρ ρ . The following formula is used: I x = I y = π ρ h 12 ( 3 ( r 4 2 − r 4 1 ) + h 2 ( r 2 2 = r 2 1 ) ) I x = I y = π ρ h 12 ( 3 ( r 2 4 - r 1 4 ) + h 2 ( r 2 2 = r 1 2 ) ) , where:
ρ ρ = demsity
r 1 r 1 = inner radius
r 2 r 2 = outer radius
h h = height
References
The formula and definition are from Wikipedia (https://en.wikipedia.org/wiki/List_of_moments_of_inertia ).
This equation, Moment of Inertia - Thick-walled Cylinder (I x , I y , ρ I x , I y , ρ ), references 1 page Show
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