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cross-sectional properties that are indicated in shape charts

area, radius of gyration, section modulus

the center of a one- or two-dimensional figure, about which the sum of the displacements of all points in the figure is zero

centroid

orientation of a cross-section with respect to its bending axis:

is crucial in obtaining a large moment of inertia

the sum of the products of each element of an area and the square of its distance from a coplanar axis of rotation; a geometric property that indicates how the cross-sectional area of a structural member is distributed, and therefore, its resulting cross-sectional stiffness

moment of inertia

the radial distance from any axis to a point at which the mass of a body could be concentrated without altering the moment of inertia of the body about the axis. r=√I/A

radius of gyration

a geometric property of a cross section defined as S=I/c

section modulus

the properties of sections typically concerned with bending and buckling, respectively, are:

section modulus and radius of gyration

the parallel axis theorem is used to calculate:

the moment of inertia for composite shapes


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