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Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which determines an object's resistance to linear acceleration).
Tables are available to allow easy selection of a suitable steel I-beam size for a given applied load. I-beams may be used both as beams and as columns. I-beams may be used both on their own, or acting compositely with another material, typically concrete. Design may be governed by any of the following criteria:
DIN 1025 is a DIN standard which defines the dimensions, masses and sectional properties of hot rolled I-beams.. The standard is divided in 5 parts: DIN 1025-1: Hot rolled I-sections - Part 1: Narrow flange I-sections, I-serie - Dimensions, masses, sectional properties
ASTM A992 is currently the most available steel type for structural wide-flange beams. The industry's technical institute describes the standard thus: "ASTM A992 (Fy = 50 ksi, Fu = 65 ksi) is the preferred material specification for wide-flange shapes, having replaced ASTM A36 and A572 grade 50. There are a couple of noteworthy enhancements ...
Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.
In solid mechanics and structural engineering, section modulus is a geometric property of a given cross-section used in the design of beams or flexural members.Other geometric properties used in design include: area for tension and shear, radius of gyration for compression, and second moment of area and polar second moment of area for stiffness.
In this case, the equation governing the beam's deflection can be approximated as: = () where the second derivative of its deflected shape with respect to (being the horizontal position along the length of the beam) is interpreted as its curvature, is the Young's modulus, is the area moment of inertia of the cross-section, and is the internal ...
Early rails were made of wood, cast iron or wrought iron. All modern rails are hot rolled steel with a cross section approximate to an I-beam, but asymmetric about a horizontal axis (however see grooved rail below). The head is profiled to resist wear and to give a good ride, and the foot profiled to suit the fixing system.