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A Practical Treatise on Railway Curves and Location: For Young Engineers
William Findlay Shunk
Não há visualização disponível - 2016
100 feet Chord 30 feet 8quares angle dbe apart.—Chord 100 feet ARTICLE axis centre chord of 100 circumference cosin COTAN cross-hairs curve located cutting deflect deflexion angle deflexion distance degree of curvature divided embankment end areas Example.—Let Example.—Suppose a b a exterior angle feet apart.—Chord 100 find the deflexion FIND THE POINT formula gential GIVEN RADIUS graduated half the angle horizontal index reads last tangent latter Lengths of Ordinates levelling screws line of collimation middle ordinate minutes to hundredths Multiplying Ordinates in feet Reducing minutes REQUIRED TO FIND reverse curve reverse the telescope Revolve the telescope right angles ROOTS OF NUMBERS.—Continued second curve Set the instrument side slopes sight back Square Roots SQUARES AND SQUARE station Subtracting Suppose tance tang tangent df Tangent falling TANGENT PARALLEL tangential angle tangential distance TERMINATE triangle turn into tangent vernier vertical
Página 50 - From the square of the radius, subtract the square of half the chord; and take the square root of the remainder from the radius, for the middle ordinate.
Página 7 - It is found that the circle described with radius of 5730 feet has a circumference of 36,000 feet. Since there are 360° in the circle, the central angle subtended by a chord of 100 feet is, in this case, equal to 1°, and the curve is named a one degree curve. So likewise in a circle with radius of 2865 feet, half of 5730, the central angle corresponding to the chord 100 is 2° ; the curve is then called a two degree curve. The beginning of a curve is called the point of curvature, or simply the...
Página 53 - To find the deflexion distance with chord of 100 feet and any radius. — Divide the constant number 10000 by the radius in feet ; the quotient will be the deflexion distance : — for the deflexion distance with a radius of 10000 feet is 1 foot, and the deflexion distances for other radii increase inversely as the radii. Example. — What is the deflexion distance for a 5° curve, the chord being 100 feet ? Here ^^ = 8-72 feet, the deflexion distance. To find the deflexion distance with any given...