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where I is the moment of inertia of the beam cross-section and c is the distance of the top of the beam from the neutral axis (see beam theory for more details). For a beam of cross-sectional area a and height h , the ideal cross-section would have half the area at a distance h / 2 above the cross-section and the other half at a ...
Bleachers structures vary depending on the location, but most outdoor modern bleachers have either an aluminium tube or steel angle understructure (known as frame-type bleachers) or steel I-beams (known as an I-beam bleacher). Most smaller bleachers are frame-type bleachers and most larger bleachers are I-Beam bleachers.
In 1820, the French engineer A. Duleau derived analytically that the torsion constant of a beam is identical to the second moment of area normal to the section J zz, which has an exact analytic equation, by assuming that a plane section before twisting remains planar after twisting, and a diameter remains a straight line.
The I-beam, also known as the H-beam [5] or universal beam, is a widely used structural element due to its high strength-to-weight ratio and structural stability. [6] The shape of the I-beam, with its central vertical web and horizontal flanges, provides excellent load-bearing capabilities and resistance to bending and torsion.
A beam is a structural element that primarily resists loads applied laterally across the beam's axis (an element designed to carry a load pushing parallel to its axis would be a strut or column). Its mode of deflection is primarily by bending , as loads produce reaction forces at the beam's support points and internal bending moments , shear ...
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 ...
A girder (/ ˈ ɡ ɜːr d ər /) is a beam used in construction. [1] It is the main horizontal support of a structure which supports smaller beams. Girders often have an I-beam cross section composed of two load-bearing flanges separated by a stabilizing web, but may also have a box shape, Z shape, or other forms. Girders are commonly used to ...
The beams may be cased in concrete, plasterboard or sprayed with a coating to insulate it from the heat of the fire or it can be protected by a fire-resistant ceiling construction. Asbestos was a popular material for fireproofing steel structures up until the early 1970s, before the health risks of asbestos fibres were fully understood.