Exemplu numeric:
În acest exemplu este prezentată compensarea unei reţele de nivelment geometric, ca o reţea constrânsă pe puncte de altitudini cunoscute. Datele vor fi preluate dintr-un fişier text (vezi figura 2), ce conţine denumirile şi altitudinile punctelor, tipul acestora (F - fix sau P - provizoriu), diferenţele de nivel măsurate şi lungimile tronsoanelor. Preciziile de afişare sunt cele corespunzătoare figurii 1.
Figura 1. Exemplu numeric - Compensarea unei reţele de nivelment.
Figura 2. Fişierul de date.
Rezultatul prelucrării este următorul:
1. Date de intrare.
1.1. Altitudinile punctelor.
| Denumire | H [m] | Tipul punctului |
| RN10 | 1147.6900 | F |
| RN14 | 1294.6750 | F |
| RN25 | 1344.4970 | F |
| RN34 | 1254.8120 | F |
| RN11 | 1183.5050 | P |
| RN12 | 1230.9410 | P |
| RN13 | 1266.7180 | P |
| RN21 | 1185.4400 | P |
| RN22 | 1224.2860 | P |
| RN23 | 1275.6310 | P |
| RN24 | 1314.7030 | P |
| RN31 | 1177.0130 | P |
| RN32 | 1205.0730 | P |
| RN33 | 1232.8120 | P |
| RN41 | 1310.6110 | P |
| RN42 | 1330.5480 | P |
| RN51 | 1296.7420 | P |
| RN52 | 1323.5760 | P |
1.2. Diferenţele de nivel măsurate şi lungimile tronsoanelor.
| De la | la | Δh [m] | L [km] |
| RN10 | RN11 | 35.81470 | 11.2 |
| RN10 | RN21 | 37.75030 | 12.1 |
| RN10 | RN31 | 29.32330 | 12.3 |
| RN11 | RN12 | 47.43660 | 15.0 |
| RN11 | RN22 | 40.78230 | 15.1 |
| RN12 | RN13 | 35.77630 | 12.1 |
| RN12 | RN22 | -6.65340 | 14.9 |
| RN13 | RN14 | 28.01080 | 17.0 |
| RN13 | RN22 | -42.42790 | 26.7 |
| RN14 | RN41 | 15.88250 | 12.2 |
| RN21 | RN22 | 38.84580 | 12.6 |
| RN21 | RN31 | -8.42640 | 9.0 |
| RN21 | RN32 | 19.63320 | 15.6 |
| RN22 | RN23 | 51.34500 | 16.0 |
| RN22 | RN33 | 8.52660 | 23.5 |
| RN22 | RN41 | 86.32170 | 35.0 |
| RN23 | RN24 | 39.07170 | 13.1 |
| RN23 | RN51 | 21.11010 | 23.5 |
| RN24 | RN25 | 29.84420 | 19.5 |
| RN24 | RN42 | 15.84130 | 18.9 |
| RN24 | RN52 | 8.87310 | 9.1 |
| RN25 | RN42 | -14.00160 | 20.3 |
| RN25 | RN52 | -20.96990 | 12.1 |
| RN31 | RN32 | 28.06000 | 13.0 |
| RN32 | RN33 | 27.73840 | 12.9 |
| RN33 | RN34 | 22.00010 | 15.8 |
| RN34 | RN51 | 41.92970 | 25.2 |
| RN41 | RN42 | 19.93720 | 16.1 |
| RN51 | RN52 | 26.83430 | 15.4 |
2. Rezultatul prelucrării.
2.1. Diferenţele de nivel compensate şi preciziile acestora.
| De la | la | Δhmăs [m] | Corecţie [mm] | Δhcomp [m] |
Abaterea
standard [mm] |
| RN10 | RN11 | 35.81470 | -12.69 | 35.80201 | ± 11.53 |
| RN10 | RN21 | 37.75030 | -7.24 | 37.74306 | ± 11.98 |
| RN10 | RN31 | 29.32330 | -4.44 | 29.31886 | ± 12.08 |
| RN11 | RN12 | 47.43660 | -10.10 | 47.42650 | ± 13.34 |
| RN11 | RN22 | 40.78230 | -6.94 | 40.77536 | ± 13.39 |
| RN12 | RN13 | 35.77630 | -9.97 | 35.76633 | ± 11.98 |
| RN12 | RN22 | -6.65340 | 2.25 | -6.65115 | ± 13.30 |
| RN13 | RN14 | 28.01080 | -20.64 | 27.99016 | ± 14.20 |
| RN13 | RN22 | -42.42790 | 10.42 | -42.41748 | ± 17.80 |
| RN14 | RN41 | 15.88250 | 7.56 | 15.89006 | ± 12.03 |
| RN21 | RN22 | 38.84580 | -11.49 | 38.83431 | ± 12.23 |
| RN21 | RN31 | -8.42640 | 2.20 | -8.42420 | ± 10.33 |
| RN21 | RN32 | 19.63320 | 1.08 | 19.63428 | ± 13.61 |
| RN22 | RN23 | 51.34500 | -9.92 | 51.33508 | ± 13.78 |
| RN22 | RN33 | 8.52660 | 11.17 | 8.53777 | ± 16.70 |
| RN22 | RN41 | 86.32170 | -24.01 | 86.29769 | ± 20.38 |
| RN23 | RN24 | 39.07170 | -10.15 | 39.06155 | ± 12.47 |
| RN23 | RN51 | 21.11010 | 3.63 | 21.11373 | ± 16.70 |
| RN24 | RN25 | 29.84420 | -11.20 | 29.83300 | ± 15.21 |
| RN24 | RN42 | 15.84130 | -4.12 | 15.83718 | ± 14.98 |
| RN24 | RN52 | 8.87310 | 0.16 | 8.87326 | ± 10.39 |
| RN25 | RN42 | -14.00160 | 5.78 | -13.99582 | ± 15.52 |
| RN25 | RN52 | -20.96990 | 10.17 | -20.95973 | ± 11.98 |
| RN31 | RN32 | 28.06000 | -1.52 | 28.05848 | ± 12.42 |
| RN32 | RN33 | 27.73840 | -0.61 | 27.73779 | ± 12.37 |
| RN33 | RN34 | 22.00010 | 6.76 | 22.00686 | ± 13.69 |
| RN34 | RN51 | 41.92970 | -25.52 | 41.90418 | ± 17.29 |
| RN41 | RN42 | 19.93720 | -1.07 | 19.93613 | ± 13.82 |
| RN51 | RN52 | 26.83430 | -13.21 | 26.82109 | ± 13.52 |
2.2. Altitudinile compensate ale punctelor şi preciziile acestora.
| Denumire |
Altitudini
provizorii [m] |
Corecţii [mm] |
Altitudini
compensate [m] |
Abaterea
standard [mm] |
| RN10 | 1147.6900 | --- | --- | --- |
| RN14 | 1294.6750 | --- | --- | --- |
| RN25 | 1344.4970 | --- | --- | --- |
| RN34 | 1254.8120 | --- | --- | --- |
| RN11 | 1183.5050 | -12.99 | 1183.4920 | ± 8.62 |
| RN12 | 1230.9410 | -22.48 | 1230.9185 | ± 10.01 |
| RN13 | 1266.7180 | -33.16 | 1266.6848 | ± 9.88 |
| RN21 | 1185.4400 | -6.94 | 1185.4331 | ± 7.67 |
| RN22 | 1224.2860 | -18.63 | 1224.2674 | ± 7.60 |
| RN23 | 1275.6310 | -28.55 | 1275.6024 | ± 10.08 |
| RN24 | 1314.7030 | -39.00 | 1314.6640 | ± 8.39 |
| RN31 | 1177.0130 | -4.14 | 1177.0089 | ± 8.40 |
| RN32 | 1205.0730 | -5.66 | 1205.0673 | ± 9.80 |
| RN33 | 1232.8120 | -6.86 | 1232.8051 | ± 9.42 |
| RN41 | 1310.6110 | -45.94 | 1310.5651 | ± 9.14 |
| RN42 | 1330.5480 | -46.82 | 1330.5012 | ± 9.71 |
| RN51 | 1296.7420 | -25.82 | 1296.7162 | ± 10.50 |
| RN52 | 1323.5760 | -38.73 | 1323.5373 | ± 8.48 |