Four hills A, B, C, D are in straight line. The elevations are A= 247 m, B = 236 m, C= 314 m, and D = 396 m. The distances of B, C, and D from A are 12 km, 45 km, and 60 km. respectively. Considering the effects of Earth's curvature and refraction of the earth. Compute the height of tower at A with a clearance of 3 m at C so that D will be visible from A, if the height of the tower D is 2 m.

Four hills A, B, C, D are in straight line. The elevations are A= 247 m, B = 236 m, C= 314 m, and D = 396 m. The distances of B, C, and D from A are 12 km, 45 km, and 60 km. respectively. Considering the effects of Earth's curvature and refraction of the earth. Compute the height of tower at A with a clearance of 3 m at C so that D will be visible from A, if the height of the tower D is 2 m.

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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Concept explainers

Control Survey and Geodetic reductions

Control surveys or survey controls are used to establish reference points as a basis for various construction activities. Vertical and horizontal control points are to be established in a control survey to increase accuracy. After establishing the control points, all other types of surveys such as topographic, right-of-way, aerial mapping, construction layout, boundary surveys, and utility mapping can be worked upon so that control networks can be formed. The place from which the observations are made is called a survey station.

Question

8. Four hills A, B, C, D are in straight line. The elevations are A= 247
m, B = 236 m, C= 314 m, and D = 396 m. The distances of B, C,
and D from A are 12 km, 45 km, and 60 km. respectively.
Considering the effects of Earth's curvature and refraction of the
earth. Compute the height of tower at A with a clearance of 3 m at
C so that D will be visible from A, if the height of the tower D is 2
m.

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The combined correction due to curvature and refraction (in m) for a distance of 2 km is:
Four hills A, B, C and D are in straight line. The elevations are A = 247 m, B = 236 m, C = 314 m D = 396 m respectively. The distances of B, C and D from A are 12 km, 45 km and 60km respectively. Considering the effect of curvature and refraction of the earth. (a) Compute the height of equal towers on A and D to sight over B and C with a 3 m clearance.(b) Compute the elevation of the line of sight at B with the installation of equal heights of tower at A and D.(c) Compute the height of tower at A with a clearance of 3 m at C so that D will be visible from A, if the height of tower at D is 2 m.
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