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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.
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 ...
Likewise the normal convention for a positive bending moment is to warp the element in a "u" shape manner (Clockwise on the left, and counterclockwise on the right). Another way to remember this is if the moment is bending the beam into a "smile" then the moment is positive, with compression at the top of the beam and tension on the bottom. [1]
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 ...
The 1/e 2 width is equal to the distance between the two points on the marginal distribution that are 1/e 2 = 0.135 times the maximum value. In many cases, it makes more sense to take the distance between points where the intensity falls to 1/e 2 = 0.135 times the maximum value.
A441 – structural shapes and plates (Superseded by A572) A572 – structural shapes and plates. A618 – structural pipe and tubing. A992 – Possible applications are W or S I-Beams. A913 – Quenched and Self Tempered (QST) W shapes. A270 – structural shapes and plates.
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 ...
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 ...
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