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Lecture

# lab6.doc

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School
Department
Engineering
Course
ENG 2130
Professor
All Professors
Semester
Winter

Description
Faculty of Science and Engineering ENG2120 – Fundamentals of Surveying Lab 6 th March 5 , 2008 Prepared by: Table of Contents Objective ...................................................................................................3 Introduction................................................................................3 Sample Calculations..................................................................3 Objective To process a closed traverse with the compass rule, not as the least-squares adjustment does. This laboratory can be a good starting point for the novice to practice azimuth and coordinate calculations, error propagation, understanding closure errors and how to distribute them and calculate them, and calculate the final coordinates for the traverse points. Introduction Sample Calculations α ij = tan (E - Ej / iN - N)j i -1 o α AB = tan (315.630 – 612.420) / (607.690 – 793.205) = 57.99167 = 57 59’ 30” σ D = [0.5 cm + 5ppm] σ = [0.5 cm + 5/1,000,000 × 225.850 m × 100 cm/m] = 0.612925 cm D B1 ΔN ij = D ijs(α ) ij ΔN B1 = D B1s(α ) =B125.850m × cos(157 00’ 35”) = -207.911 m ΔE ij = D ijn(α )ij o ΔE B1 = D B1n(α ) B1225.850m × sin(157 00’ 35”) = 88.211 m N n = N 1 D cos12 )+ D 12s(α )23… + D 23 n-1,ns(α n-1,n N 1 = N B D cosB1 ) = B1 607.690 m – 207.911 m = 399.779 m E n = E 1 D si12α )+ D12in(α 23 … + D23 n-1,nin(α n-1,n E = E + D sin(α ) = 315.630 m + 88.221 m = 403.841 m 1 B B1 B1 2 2 2 2 2 2 2 σ Nn = cos α σ12 D12+cos α σ23 D23 + … +cos α n-1,nσ Dn-1,n + (D s12 α + D12in α23 … + D23
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