Area Moment of Inertia or Moment of Inertia for an Area - also known as Second Moment of Area - I, is a property of shape that is used to predict deflection, bending and stress in beams.
Area Moment of Inertia for typical Cross Sections II
Angle with Equal Legs
The Area Moment of Inertia for an angle with equal legs can be calculated as
Ix = 1/3 [2c4 - 2 (c - t)4 + t (h - 2 c + 1/2 t)3] (1a)
c = yt cos 45o (1b)
andyt = (h2 + ht + t2) / [2 (2 h - t ) cos 45o] (1c)
Angle with Unequal Legs
The Area Moment of Inertia for an angle with unequal legs can be calculated as
Ix = 1/3 [t (h - yd)3 + b yd3 - b1 (yd - t)3] (2a)
Iy = 1/3 [t (b - xd)3 + h xd3 - h1 (xd - t)3] (2b)
xd = (b2 + h1 t) / (2 (b + h1)) (2c)
yd = (h2 + b1 t) / (2 (h + b1))
The Area Moment of Inertia for a triangle can be calculated as
Ix = b h3 / 36 (3a)
Iy = h b (b2 - ba bc) / 36 (3b)
The Area Moment of Inertia for a rectangular triangle can be calculated as
Ix = b h3 / 36 (4a)
Iy =h b3 / 36 (4b)
Deflection and stress, moment of inertia, section modulus and technical information of beams and columns.
Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
American Standard Beams ASTM A6 - Imperial units.
Dimensions and static parameters of American Standard Steel C Channels
American Wide Flange Beams ASTM A6 in metric units.
Typical cross sections and their Area Moment of Inertia.
Convert between Area Moment of Inertia units.
Stress, deflections and supporting loads.
Supporting loads, moments and deflections.
Supporting loads, stress and deflections.
Properties of British Universal Steel Columns and Beams.
Calculate position of center mass.
Calculate buckling of columns.
Properties of HE-A profiled steel beams.
Properties of HE-B profiled steel beams.
Properties of HE-M profile steel beams.
The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation - the Radius of Gyration.
Properties of normal flange I profile steel beams.
Dimensions and static parameters of steel angles with equal legs - metric units.
Dimensions and static parameters of steel angles with unequal legs - imperial units.
Dimensions of American Wide Flange Beams ASTM A6 (or W-Beams) - Imperial units.