OBLICZENIE WYSOKOŚCI WIERZCHOŁKÓW POSZCZEGÓLNYCH TRÓJKĄTÓW
Wierzchołek H11
H11 = 89 + 0,77 = 89,77 [m n.p.m]
Wierzchołek H12
H12 = 89 + 0,20 = 89,20 [m n.p.m]
Wierzchołek H13
H13 = 88 + 0,53 = 88,53 [m n.p.m]
Wierzchołek H14
H14 = 87 + 0,91 = 87,91 [m n.p.m]
Wierzchołek H15
H15 = 87 + 0,69 = 87,69 [m n.p.m]
Wierzchołek H21
H21 = 89 + 0,27 = 89,27 [m n.p.m]
Wierzchołek H22
H22 = 88 + 0,36 = 88,36 [m n.p.m]
Wierzchołek H23
H23 = 87 + 0,63 = 87,63 [m n.p.m]
Wierzchołek H24
H24 = 87 + 0,36 = 87,36 [m n.p.m]
Wierzchołek H25
H25 = 87 + 0,02 = 87,02 [m n.p.m]
Wierzchołek H31
H31 = 88 + 0,56 = 88,56 [m n.p.m]
Wierzchołek H32
H32 = 87 + 0,73 = 87,73 [m n.p.m]
Wierzchołek H33
H33 = 87 + 0,26 = 87,26 [m n.p.m]
Wierzchołek H34
H34 = 86 + 0,60 = 86,60 [m n.p.m]
Wierzchołek H35
H35 = 85 + 0,70 = 85,70 [m n.p.m]
Wierzchołek H41
H41 = 87 + 0,83 = 87,83 [m n.p.m]
Wierzchołek H42
H42 = 87 + 0,26 = 87,26 [m n.p.m]
Wierzchołek H43
H43 = 86 + 0,49 = 86,49 [m n.p.m]
Wierzchołek H44
H44 = 85 + 0,56 = 85,56 [m n.p.m]
Wierzchołek H45
H45 = 84 + 0,78 = 84,78 [m n.p.m]
Wierzchołek H51
H51 = 87 + 0,47 = 87,47 [m n.p.m]
Wierzchołek H52
H52 = 86 + 0,65 = 86,65 [m n.p.m]
Wierzchołek H53
H53 = 85 + 0,70 = 85,70 [m n.p.m]
Wierzchołek H54
H54 = 84 + 0,85 = 84,85 [m n.p.m]
Wierzchołek H55
H55 = 84 + 0,17 = 84,17 [m n.p.m]
ZESTAWIENIE WYSOKOŚCI POSZCZEGÓLNYCH PUNKTÓW DZIAŁKI
Wartość bezwzględna [m n.p.m] |
Niweleta [m n.p.m] |
Wartość względna [m n.p.m] |
|---|---|---|
| H11 = 89,77 | 87 | h11 = 2,77 |
| H12 = 89,20 | 87 | h12 = 2,20 |
| H13 = 88,53 | 87 | h13 = 1,53 |
| H14 = 87,91 | 87 | h14 = 0,91 |
| H15 = 87,69 | 87 | h15 = 0,69 |
| H21 = 89,27 | 87 | h21 = 2,27 |
| H22 = 88,36 | 87 | h22 = 1,36 |
| H23 = 87,63 | 87 | h23 = 0,63 |
| H24 = 87,36 | 87 | h24 = 0,36 |
| H25 = 87,02 | 87 | h25 = 0,02 |
| H31 = 88,56 | 87 | h31 = 1,56 |
| H32 = 87,73 | 87 | h32 = 0,73 |
| H33 = 87,26 | 87 | h33 = 0,26 |
| H34 = 86,60 | 87 | h34= -0,40 |
| H35 = 85,70 | 87 | h35= -1,30 |
| H41 = 87,83 | 87 | h41 = 0,83 |
| H42 = 87,26 | 87 | h42 = 0,26 |
| H43 = 86,49 | 87 | h43= -0,51 |
| H44 = 85,56 | 87 | h44= -1,44 |
| H45 = 84,78 | 87 | h45= -2,22 |
| H51 = 87,47 | 87 | h51 = 0,47 |
| H52 = 86,65 | 87 | h52= -0,35 |
| H53 = 85,70 | 87 | h53= -1,30 |
| H54 = 84,85 | 87 | h54= -2,15 |
| H55 = 84,17 | 87 | h55= -2,83 |
Tabela nr 1: Zestawienie wysokości poszczególnych punktów działki
V1 = (h11 + h12 + h21) × $\frac{a^{2}}{6}$ = 120.6667 [m3 ]
V2 = (h21 + h22 + h12) × $\frac{a^{2}}{6}$ = 97,1667 [m3 ]
V3 = (h12 + h13 + h22) × $\frac{a^{2}}{6}$ = 84,8333 [m3 ]
V4 = (h13 + h23 + h22) × $\frac{a^{2}}{6}$ = 58,6667 [m3 ]
V5 = (h13 + h14 + h23) × $\frac{a^{2}}{6}$ = 51,1667 [m3 ]
V6 = (h14 + h24 + h23) × $\frac{a^{2}}{6}$ = 31,6667 [m3 ]
V7 = (h14 + h15 + h24) × $\frac{a^{2}}{6}$ = 32,6667 [m3 ]
V8 = (h15 + h25 + h24) × $\frac{a^{2}}{6}$ = 17,8333 [m3 ]
V9 = (h21 + h22 + h31) × $\frac{a^{2}}{6}$ = 86,5 [m3 ]
V10 = (h31 + h22 + h32) × $\frac{a^{2}}{6}$ = 60,8333 [m3 ]
V11 = (h22 + h21 + h32) × $\frac{a^{2}}{6}$ = 72,6667 [m3 ]
V12 = (h23 + h33 + h32) × $\frac{a^{2}}{6}$ = 27,0 [m3 ]
V13 = (h24 + h23 + h33) × $\frac{a^{2}}{6}$ = 20,8333 [m3 ]
Vw14 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \text{\ \ \ }_{34}^{3}}{\left( \left| h_{34} \right| + \ h_{33} \right) \times (\left| h_{34} \right| + \ h_{24\ })}$ = - 2,12 [m3 ]65
V14 = (|h33| + |h24| + h34) × $\frac{a^{2}}{6}$ = 17,0 [m3 ]
VN14 = V14 - Vw14 = 19,1265 [m3 ]
Vw15 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \text{\ \ \ }_{34}^{3}}{\left( \left| h_{24} \right| + \ h_{34} \right) \times (\left| h_{25} \right| + \ h_{34\ })}$ = -3,3417 [m3 ]
V15 = (h24 + h25 + h34) × $\frac{a^{2}}{6}$ = 13,0 [m3 ]
VN15 = V15 - Vw15 = 16,3417 [m3 ]
Vw16 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \left| \text{\ \ \ }_{25}^{3} \right|}{\left( \left| h_{25} \right| + \ h_{35} \right) \times (\left| h_{25} \right| + \ h_{34\ })}$ = - 0,0002 [m3 ]
V16 = (h25 + h35 + h34) × $\frac{a^{2}}{6}$ = 28,6667 [m3 ]
VN16 = V16 - Vw16 = 28,6669 [m3 ]
V17 = (h31 + h32 + h41) × $\frac{a^{2}}{6}$ = 52,0 [m3 ]
V18 = (h32 + h42 + h41) × $\frac{a^{2}}{6}$ = 30,3333 [m3 ]
V19 = (h32 + h33 + h42) × $\frac{a^{2}}{6}$ = 20,8333 [m3 ]
Vw20 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \left| \text{\ \ \ }_{43}^{3} \right|}{\left( h_{42} + \ \left| h_{43} \right| \right) \times (h_{33} + \ \left| h_{43} \right|}$ = -3,7289 [m3 ]
V20 = (h43 + h42 + h33) × $\frac{a^{2}}{6}$ = 17,1667 [m3 ]
VN20 = V20 - Vw20 = 20,8955 [m3 ]
Vw21 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \text{\ \ \ }_{33}^{3}}{\left( \left| h_{43} \right| + \ h_{33} \right) \times (\left| h_{34} \right| + \ h_{33\ })}$ = -0,5764 [m3 ]
V21 = (h33 + h43 + h34) × $\frac{a^{2}}{6}$ = 19,5 [m3 ]
VN21 = V21 - Vw21 = 20,0764 [m3 ]
V22 = - (h34 + h44 + h43) × $\frac{a^{2}}{6}$ = -39,1667 [m3 ]
V23 = - (h34 + h35 + h44) × $\frac{a^{2}}{6}$ = -52,3333 [m3 ]
V24 = - (h35 + h45 + h44) × $\frac{a^{2}}{6}$ = - 82,6667 [m3 ]
V25 = (h41 + h42 + h51) × $\frac{a^{2}}{6}$ = 26,0 [m3 ]
Vw26 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \left| \text{\ \ \ }_{52}^{3} \right|}{\left( \left| h_{52} \right| + \ h_{51} \right) \times (\left| h_{52} \right| + \ h_{42\ })}$ = - 1,4286 [m3 ]
V26 = (|h52| + h51 + h42) × $\frac{a^{2}}{6}$ = 18 [m3 ]
VN26 = V26 - Vw26 = 19,4286 [m3 ]
Vw27 = - $\frac{1}{6}$ × $\frac{a^{2}\ \times \ \text{\ \ \ }_{42}^{3}}{\left( \left| h_{43} \right| + \ h_{52} \right) \times (\left| h_{43} \right| + \ h_{42\ })}$ = -0,6237 [m3 ]
V27 = (h42 + h52 + h43) × $\frac{a^{2}}{6}$ = 18,6667 [m3 ]
VN27 = V27 - Vw27 = 19,2903 [m3 ]
V28 = - (h52 + h43 + h53) × $\frac{a^{2}}{6}$ = -36,0 [m3 ]
V29 = - (h53 + h43 + h44) × $\frac{a^{2}}{6}$ = -54,1667 [m3 ]
V30 = - (h53 + h44 + h54) × $\frac{a^{2}}{6}$ = -81,5 [m3 ]
V31 = - (h34 + h35 + h44) × $\frac{a^{2}}{6}$ = -52,3333 [m3 ]
V32 = - (h54 + h45 + h55) × $\frac{a^{2}}{6}$ = -199,1667 [m3 ]