Torus with minor radius a, major radius b and mass m with axes of rotating going through its center: perpendicular to the major diameter and parallel to the major diameter. Solid and hollow, regular tetrahedron (four flat faces) of side s and mass m with axis of rotation going through its center and one of vertices. Spherical shell of inner radius r₁, outer radius r₂ and mass m with axis of rotation going through its center. Hollow sphere of radius r and mass m with axis of rotation going through its center. Rod of length L and mass m with two axes of rotation: about its center and one end. Solid right circular cone of radius r, height h and mass m with three axes of rotation passing trough its center: parallel to the x, y or z axes. The parallel axis thereom is used to seperate the shape into a number of simpler shapes. Hollow right circular cone of radius r, height h and mass m with three axes of rotation passing trough its center: parallel to the x, y or z axes. The moment of inertia can be calculated by hand for the most common shapes: Rectangle: (bh3)/12 >Circle: (pi r4)/4 Triangle: (bh3)/12 If the shape is more complex then the moment of inertia can be calculated using the parallel axis thereom. Plane regular polygon with n vertices, radius of the circumscribed circle R and mass m with axis of rotation passing through its center, perpendicular to the plane. Thin rectangular plate of length l, width w and mass m with axis of rotation going through its center, perpendicular to the plane. Point mass m at a distance r from the axis of rotation. Solid and hollow, regular octahedron (eight flat faces) of side s and mass m with axis of rotation going through its center and one of vertices. An isosceles triangle of mass m, vertex angle 2β and common-side length L with axis of rotation through tip, perpendicular to plane. Solid and hollow, regular icosahedron (twenty flat faces) of side s and mass m with axis of rotation going through its center and one of vertices.
#Moment of inertia calculator t beam plus#
Sub-area A consists of the entire web plus the part of the flange just above it, while sub-area B consists of the remaining flange part, having a width equal to b-t w. Solid ellipsoid of semiaxes a, b, c and mass m with three axes of rotation going through its center: parallel to the a, b or c semiaxes. Definitions The moment of inertia of a tee section can be found if the total area is divided into two, smaller ones, A, B, as shown in figure below. Solid and hollow, regular dodecahedron (twelve flat faces) of side s and mass m with axis of rotation going through its center and one of vertices. Thin solid disk of radius r and mass m with three axes of rotation going through its center: parallel to the x, y or z axes.
Cylindrical shell of radius r and mass m with axis of rotation going through its center, parallel to the height. Cylindrical tube of inner radius r₁, outer radius r₂, height h and mass m with three axes of rotation going through its center: parallel to x, y and z axes. Solid cylinder of radius r, height h and mass m with three axes of rotation going through its center: parallel to x, y and z axes. Solid cuboid of length l, width w, height h and mass m with four axes of rotation going through its center: parallel to the length l, width w, height h or to the longest diagonal d. Thin circular hoop of radius r and mass m with three axes of rotation going through its center: parallel to the x, y or z axes.
Solid ball of radius r and mass m with axis of rotation going through its center. Y c = x c = a / 2 y_c = x_c = a/2 y c = x c = a /2 This I beam moment of inertia calculator is programmed to calculate the moment of inertia about specified axis, centroid about specified axis, section modulus, radius of gyration and cross sectional area.
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