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Roof pitch is the steepness of a roof expressed as a ratio of inch(es) rise per horizontal foot (or their metric equivalent), or as the angle in degrees its surface deviates from the horizontal. A flat roof has a pitch of zero in either instance; all other roofs are pitched .
Grade is usually expressed as a percentage - converted to the angle α by taking the inverse tangent of the standard mathematical slope, which is rise / run or the grade / 100. If one looks at red numbers on the chart specifying grade, one can see the quirkiness of using the grade to specify slope; the numbers go from 0 for flat, to 100% at 45 ...
These variables include, building material of the envelope, thicknesses of the building materials, day of the year, time of day, orientation of the surface (e.g. wall or roof, 90 degrees or 180), and wall face orientation (cardinal directions, i.e. N, NW, S, SE, etc.), to name a few.
Satari: A Swedish variant on the monitor roof; a double hip roof with a short vertical wall usually with small windows, popular from the 17th century on formal buildings. [citation needed] (Säteritak in Swedish.) Mansard (French roof): A roof with the pitch divided into a shallow slope above a steeper slope. The steep slope may be curved.
The pitch of a cricket is sometimes the same as the rest of the roof, but not always. For Steep-slope roofs, it is most common to have the cricket pitch to be equal to or less than the main roof, however for low-slope or flat roofs, it is more common to see the cricket be at least 50% greater slope than the roof, to minimize ponding.
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Deflection (f) in engineering. In structural engineering, deflection is the degree to which a part of a long structural element (such as beam) is deformed laterally (in the direction transverse to its longitudinal axis) under a load.
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