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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.
Historically a beam is a squared timber, but may also be made of metal, stone, or a combination of wood and metal [1] such as a flitch beam.Beams primarily carry vertical gravitational forces, but they are also used to carry horizontal loads such as those due to earthquake or wind, or in tension to resist rafter thrust or compression (collar beam).
An I-beam is any of various structural members with an Ɪ- (serif capital letter 'I') or H-shaped cross-section. Technical terms for similar items include H-beam, I-profile, universal column (UC), w-beam (for "wide flange"), universal beam (UB), rolled steel joist (RSJ), or double-T (especially in Polish, Bulgarian, Spanish, Italian, and German).
Structural steel shapes, sizes, chemical composition, mechanical properties such as strengths, storage practices, etc., are regulated by standards in most industrialized countries. Most structural steel shapes, such as Ɪ-beams , have high second moments of area , which means they are very stiff in respect to their cross-sectional area and ...
w 0: beam waist; b: depth of focus; z R: Rayleigh range; Θ: total angular spread. The shape of a Gaussian beam of a given wavelength λ is governed solely by one parameter, the beam waist w 0. This is a measure of the beam size at the point of its focus (z = 0 in the above equations) where the beam width w(z) (as defined above) is the smallest ...
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 ...
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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 ...