Mass Moment of Inertia The Mass Moment of Inertia vs.HE-M Steel Beams Properties of HE-M profile steel beams.HE-B Steel Beams Properties of HE-B profiled steel beams.HE-A Steel Beams Properties of HE-A profiled steel beams.Euler's Column Formula Calculate buckling of columns.Center of Gravity A body and the center of gravity.Center Mass Calculate position of center mass.Cantilever Beams - Moments and Deflections Maximum reaction forces, deflections and moments - single and uniform loads.British Universal Columns and Beams Properties of British Universal Steel Columns and Beams.Beams - Supported at Both Ends - Continuous and Point Loads Supporting loads, stress and deflections.Beams - Fixed at One End and Supported at the Other - Continuous and Point Loads Supporting loads, moments and deflections.Beams - Fixed at Both Ends - Continuous and Point Loads Stress, deflections and supporting loads.Area Moment of Inertia Converter Convert between Area Moment of Inertia units.Area Moment of Inertia - Typical Cross Sections II Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles.American Wide Flange Beams American Wide Flange Beams ASTM A6 in metric units.American Standard Steel C Channels Dimensions and static parameters of American Standard Steel C Channels.American Standard Beams - S Beam American Standard Beams ASTM A6 - Imperial units.

Mechanics Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

Beams and Columns Deflection and stress, moment of inertia, section modulus and technical information of beams and columns.

the 'Section Modulus' is defined as W = I / y, where I is Area Moment of Inertia and y is the distance from the neutral axis to any given fiber.

' Moment of Inertia' is a measure of an object's resistance to change in rotation direction.

' Polar Moment of Inertia' as a measure of a beam's ability to resist torsion - which is required to calculate the twist of a beam subjected to torque.

' Area Moment of Inertia' is a property of shape that is used to predict deflection, bending and stress in beams.

I x = (1 / 3) (B y b 3 - B 1 h b 3 + b y t 3 - b1 h t 3) (9)Īrea Moment of Inertia vs. I y = (a 3 h / 12) + (b 3 / 12) (H - h) (8b) Nonsymmetrical ShapeĪrea Moment of Inertia for a non symmetrical shaped section can be calculated as I x = (b h / 12) (h 2 cos 2 a + b 2 sin 2 a) (7) Symmetrical ShapeĪrea Moment of Inertia for a symmetrical shaped section can be calculated as Rectangular section and Area of Moment on line through Center of Gravity can be calculated as I x = I y = a 4 / 12 (6) Rectangular Section - Area Moments on any line through Center of Gravity The diagonal Area Moments of Inertia for a square section can be calculated as I y = π (d o 4 - d i 4) / 64 (5b) Square Section - Diagonal Moments The Area Moment of Inertia for a hollow cylindrical section can be calculated as = π d 4 / 64 (4b) Hollow Cylindrical Cross Section The Area Moment of Inertia for a solid cylindrical section can be calculated as I y = b 3 h / 12 (3b) Solid Circular Cross Section The Area Moment of Ineria for a rectangular section can be calculated as

I y = a 4 / 12 (2b) Solid Rectangular Cross Section The Area Moment of Inertia for a solid square section can be calculated as

Area Moment of Inertia for typical Cross Sections II.X = the perpendicular distance from axis y to the element dA (m, mm, inches) Area Moment of Inertia for typical Cross Sections I I y = Area Moment of Inertia related to the y axis (m 4, mm 4, inches 4) The Moment of Inertia for bending around the y axis can be expressed as Y = the perpendicular distance from axis x to the element dA (m, mm, inches)ĭA = an elemental area (m 2, mm 2, inches 2) I x = Area Moment of Inertia related to the x axis (m 4, mm 4, inches 4) (9240 cm 4) 10 4 = 9.24 10 7 mm 4 Area Moment of Inertia (Moment of Inertia for an Area or Second Moment of Area)įor bending around the x axis can be expressed as Area Moment of Inertia - Imperial unitsĮxample - Convert between Area Moment of Inertia Unitsĩ240 cm 4 can be converted to mm 4 by multiplying with 10 4 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.

Moment of inertia calculator