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The 50‰ grade is equivalent to 50 m/km or 5%. There are several ways to express slope: as an angle of inclination to the horizontal. (This is the angle α opposite the "rise" side of a triangle with a right angle between vertical rise and horizontal run.)
Red Marble Grade, Topton, North Carolina. A 2015 survey [12] lists the 3.5 mile stretch between MP 87 and MP 90.5 at a 4% average grade and says there are isolated stretches approaching 7%. When originally built the ruling grade was 4.2% as listed by southern railway. But due to the fills settling it has drastically changed. [12]
Maximum grade: The maximum permissible vertical angle, or grade, along the highway is determined from terrain and design speed, [4] with up to 6% generally allowed in mountainous areas, 5% in rolling terrain, and 4% on level terrain. An additional 1% is allowed in urban areas.
The Filbert Steps section of Filbert Street has a maximum gradient of 31.5% (17.5°). [4] The steepest hill on Filbert is the one-way down east half of the block between Hyde and Leavenworth. The city map shows a descent of 65 feet, which based on a half-block being 206.25 horizontal feet makes the grade 31.5%, the official figure.
where angle is in degrees and the trigonometric functions operate in degrees. For example, a slope of 100% or 1000‰ is an angle of 45°. A third way is to give one unit of rise in say 10, 20, 50 or 100 horizontal units, e.g. 1:10. 1:20, 1:50 or 1:100 (or "1 in 10", "1 in 20", etc.) 1:10 is steeper than 1:20. For example, steepness of 20% ...
Typically on straight road sections, the drainage gradient is at least 1–3% due to the normal cross slope of 1–3%. In curved sections the drainage gradient is higher, and may often reach 5–12% due to superelevated CS that may reach 5–8% in areas with icy roads and up to 12% in areas without icy roads.
Section through railway track and foundation showing the sub-grade. Grading in civil engineering and landscape architectural construction is the work of ensuring a level base, or one with a specified slope, [1] for a construction work such as a foundation, the base course for a road or a railway, or landscape and garden improvements, or surface drainage.
The western downgrade of Monteagle Mountain on I-24 drops 778 feet (237 m) over four miles (6.4 km), with a 5% grade. While not considered as hazardous as the eastbound descent, the westbound descent contains many curves, including one "c-shaped" curve, protracted over a distance of almost one mile (1.6 km).