Three simple curves are connected to each other such that the first and the second form a compoundcurve while the second and the third formed a reversed curve. The distance between the point ofcurvature and the point of tangency of the compound curve which is also the point of reversedcurvature of the reversed curve is 485.025 meters. If the angle of convergence between the secondand the third tangents is 15° I, = 45°, R, = 190.986 m., l = 60°, R3 = 159.155 m. and stationing at P.C.is 0 + 520. (a) Determine the stationing at P.T. at the end of the long chord. (b) Determine the anglebetween the long chord of the compound curve and the first tangent in deg-min-sec. (c) Determine theangle between the long chord of the compound curve and the second tangent in deg-min-sec.

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is 0 + 520. (a) Determine the stationing at P.T. at the end of the long chord. (b) Determine the angle between the long chord of the compound curve and the first tangent in deg-min-sec. (c) Determine the angle between the long chord of the compound curve and the second tangent in deg-min-sec.

is 0 + 520. (a) Determine the stationing at P.T. at the end of the long chord. (b) Determine the angle between the long chord of the compound curve and the first tangent in deg-min-sec. (c) Determine the angle between the long chord of the compound curve and the second tangent in deg-min-sec.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Instruments for Surveying

Surveying is the practice that determines the relative three-dimensional positions of many different points on the earth’s surface. There are various instruments used in Surveying like Theodolites, Total station, Tripod stands, Plane table, etc. for measuring horizontal angle, vertical and sloping angle, which are very useful for giving accurate and precise measurement.

Question

Three simple curves are connected to each other such that the first and the second form a compound
curve while the second and the third formed a reversed curve. The distance between the point of
curvature and the point of tangency of the compound curve which is also the point of reversed
curvature of the reversed curve is 485.025 meters. If the angle of convergence between the second
and the third tangents is 15° I, = 45°, R, = 190.986 m., l = 60°, R3 = 159.155 m. and stationing at P.C.
is 0 + 520. (a) Determine the stationing at P.T. at the end of the long chord. (b) Determine the angle
between the long chord of the compound curve and the first tangent in deg-min-sec. (c) Determine the
angle between the long chord of the compound curve and the second tangent in deg-min-sec.

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