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Area Moment of Inertia for some common Cross Sections Rectangular Cross Section I x = b h 3 / 12 (2) where b = width h = height Circular Cross Section I x = π r 4 / 4 = π d 4 / 64 (3) where r = radius d = diameter Cylindrical Cross Section I x = π (d o 4 - d i 4 ) / 64 (4) where d o = cylinder outside diameter d i = cylinder inside diameter

Moments of Inertia

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Page 1: Moments of Inertia

Area Moment of Inertia for some common Cross Sections

Rectangular Cross Section

Ix = b h3 / 12         (2)

where

b = width

h = height

Circular Cross Section

Ix = π r4 / 4

    = π d4 / 64         (3)

where

r = radius

d = diameter

Cylindrical Cross Section

Ix = π (do4 - di

4) / 64         (4)

where

do = cylinder outside diameter

di = cylinder inside diameter