A theodolite is set on a Benchmark A in order to measure the relative elevation AAB of a point B. The theodolite delivers an angle Z = 70° and the measured slope is S = 150m. The instrument elevation hi = 1.60 m and the observed value on the road set at the point B is r = 1.25m.
A theodolite is set on a Benchmark A in order to measure the relative elevation AAB of a point B. The theodolite delivers an angle Z = 70° and the measured slope is S = 150m. The instrument elevation hi = 1.60 m and the observed value on the road set at the point B is r = 1.25m.
Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter3: Natural Soil Deposits And Subsoil Exploration
Section: Chapter Questions
Problem 3.19P
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Question
A theodolite is set on a Benchmark A in order to measure the relative elevation AAB of a point B. The theodolite delivers an angle Z = 70° and the measured slope is S = 150m.
The instrument elevation hi = 1.60 m and the observed value on the road set at the point B is r = 1.25m.
Transcribed Image Text:A theodolite is set on a Benchmark A in order to measure the relative elevation AAB
of a point B. The theodolite delivers an angle Z = 70° and the measured slope is S = 150m.
The instrument elevation hi = 1.60 m and the observed value on the road set at the point B
is r = 1.25m.
Rod (r)
B
AÁB
Horizontal
E
-H-
Figure 1: Trigonometric leveling
1) Establish the relative elevation AAB of the point B as a function of S, Z, hi and r?
2) Calculate numerically AAB?
3) Suppose that the error on the theodolite elevation is eni = 5mm, the error on S is es =
1cm, the error on Z is ez = 15", and the error on the rod reading is e, = 3mm.
Estimate analytically the error eAB on AAB ?
Calculate eaAB numerically?
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