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A Temporary Benchmark on Easier Construction Site Assignment
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Assignment Task
1. On a construction site it has been decided to establish a new temporary benchmark (TBM) at the other side of a building that will make it easier to set out other points on the site. The original benchmark is at British National Grid coordinates 402598.019, 264889.981. It has been determined that the bearing to a visible nearby Ordinance Survey triangulation station (trig point) is 318°42'20". A traverse to the new TBM is carried out. The results of which are given in Table 3.
Table 3: Traverse calculation table
| Point | Bearnig | Coordinates | |||||
| From | To | Degrees | Minutes | secpmd | Distance | X | Y |
| Bench mark | Trig point | 318 | 42 | 20 | 402598.019 | 264889.981 | |
| Bench mark | A | 31 | 10 | 20 | 136.204 | ||
| A | B | 122 | 24 | 40 | 87.269 | ||
| B | TBM | 243 | 46 | 0 |
155.872 |
||
| TBM | C | 63 | 45 | 40 | 115.682 | ||
| C | D | 302 | 14 | 40 | 87.070 | ||
| D | Bench mark | 211 | 12 | 40 | 135.791 | ||
| Bench mark | TRig point | 318 | 41 | 40 |
(a) On return to the original benchmark, it was observed that the bearing to the trig point was 318°41'40". Distribute the misclosure over all 7 angular measurements. You only need to do this to the nearest 20 seconds
(b) Determine the raw coordinates of the new TBM
(c) What is the total misclosure of coordinates in mm.
(d) Apply Bowditch's correction to distribute the misclosure in the traverse and hence find the corrected coordinates for the TBM.
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