# 2010-1 - (Agm-10v Page 1 of 8 Norges...

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(Agm-10v) Page 1 of 8 Norges teknisk-naturvitenskapelige universitet Institutt for bygg, anlegg og transport Faggruppe Geomatikk EXAM: TBA4231 Applied geomatics Language: English (Norwegian versions are also available, bokmål and nynorsk) Contact information: Terje Skogseth mobile 952 88 301 (question 1, 3.1 and 4) Knut Ragnar Holm mobile 992 51 188 (question 2 and 3.2) Date: December 6 th 2010 Time: 0900 – 1300 Credits: 7.5 Allowed aids: Code C: Specified printed and handwritten aids: Certain plain calculator (HP30S or Citizen SR-270X) The number of pages English: 8 Planned censoring: Week 1 2011 The 4 questions have the same weight. All the sub questions (x.1, x.2, …) within each question have the same weight. For the questions containing calculations, the progress of the calculations must be clearly shown in the answer. See the appendix on the last 2 pages in this exam paper for formulas that could be relevant.

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(Agm-10v) Page 2 of 8 Question no 1: Total station etc Same project as in question 3.1 and 4: The tunnel between the points T1 and S1. Project: A new road tunnel in rock, see figure 1.1. The setting out of the start of the tunnel is done from the control point T1. The points T2 and T3 are measured-in by using a total station, and these points are later used for setting up beam lasers. The laser beam is pointing in the direction of the tunnel and is an aid for the blasting crew. In point T1 it is also observed horizontal directions to 3 other known control points (G1, G2, G3). These 3 points are used as reference sights for the total station measurements. An observation overview is shown on figure 1.1. Figure 1.1 Observations and points, an overview Coordinates and heights in EUREF89-UTM-zone 32: Point N(orth) E(ast) Remarks T1 7034792,011 567294,991 Considered as faultless G1 7036188,431 571089,771 Considered as faultless G2 7036572,111 568950,891 Considered as faultless G3 7033888,671 570429,321 Considered as faultless Table 1.1 Observations done with the total station, see also figure 1.1, denomination meter / gon: Observation Mean value The number of measurements The horizontal angle in T1 between G1 and T2: β 1 = 239,035 Mean of 2 measurem. The horizontal angle in T1 between G2 and T2: 2 = 268,891 Mean of 2 measurem. The horizontal angle in T1 between G3 and T2: 3 = 198,727 Mean of 4 measurem. The horizontal angle in T2 between T1 and T3: 4 = 200,002 Mean of 2 measurem. The distance in the map projection plane from T1 to T2: D 1 = 290,003 Mean of 2 measurem. The distance in the map projection plane from T2 to T3: D 2 = 292,303 Mean of 2 measurem. Table 1.2 Observations 2 4 3 1 G2 G1 G3 T2 T1 T3 : Known control point : Unknown point : Hor. direction observed to known point
(Agm-10v) Page 3 of 8 The accuracy measures of the total station: Assumed standard deviation of a measured horizontal angle: s β = σ β = 1,5 mgon Assumed standard deviation of a measured distance: s D = D = 3 mm + 2 mm per km 1.1 Normally measured horizontal directions using a total station are considered as independent observations. Here horizontal angles are used as observations instead of directions.

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2010-1 - (Agm-10v Page 1 of 8 Norges...

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