Cálculo para obtenção de curvas de nivel
Transcript of Cálculo para obtenção de curvas de nivel
Cálculo para obtenção de curvas de nível
Segmento 12:
1 (-90,000; 25,000; 41,630)
2 (0,000; -100,000; 39,500)
x² = (90)² + (-125)² x²= 8100 + 15625 154,029m
Desnível 41,630 – 39,500 = 2,130m
154,029 - 2,130
X - 0,630 x = 45,558m C.N. = 41m
154,029 - 2,130
X - 1,630 x = 47,272m C.N. = 40m
Segmento 23:
2 (0,000; -100,000; 39,500)
3 (95,000; -35,000; 37,300)
x² = (95)² + (65)² x²= 9025 + 4225 115,109m
Desnível 39,500 – 37,300 = 2,200m
115,109 - 2200
X - 0,500 x = 26,161m C.N. = 39m
115,109 - 2,200
X - 1,500 x = 78,483m C.N. = 38m
Segmento 34:
3 (95,000; -35,000; 37,300)
4 (172,000; -98,000; 36,500)
x² = (77)² + (63)² x²= 5929 + 3969 99,489m
Desnível 37,300 – 36,500 = 0,800m
99,489 - 0,800
X - 0,300 x = 37,308 C.N. = 37m
Segmento 45:
4 (172,000; -98,000; 36,500)
5 (233,000; 50,000; 34,800)
x² = (61)² + (148)² x²= 3721 + 21904 160,078m
Desnível 36,500 – 34,800 = 1,700m
160,078 - 1,700
X - 0,500 x = 47,082m C.N. = 36m
160,078 - 1,700
X - 1,500 x = 141,245m C.N. = 35m
Segmento 56:
5 (233,000; 50,000; 34,800)
6 (190,000; 160,000; 36,350)
x ² = (-43)² + (110)² x²= 1849 + 12100 118,106m
Desnível 36,350 – 34,800 = 1,550m
118,106 - 1,550
X - 0,350 x = 26,669m C.N. = 36m
118,106 - 1,550
X - 1,350 x = 102,867m C.N. = 35m
Segmento 67:
6 (190,000; 160,000; 36,350)
7 (60,000; 120,000; 39,500)
x ² = (-130)² + (-40)² x²= 16900 + 1600 136,015m
Desnível 39,500 – 36,350 = 3,150m
136,015 - 3,150
X - 0,500 x = 21,59m C.N. = 37m
136,015 - 3,150
X - 1,500 x = 64,769m C.N. = 38m
136,015 - 3,150
X - 2,500 x=107,948 C.N. = 39m
Segmento 78:
7 (60,000; 120,000; 39,500)
8 (30,500; 130,000; 39,200)
x² = (-29,5)² + (10)² x²= 870,25 + 100 31,149m
Desnível 39,500 – 39,200= 0,300m
Não há curva de nível.
Segmento 81:
8 (30,500; 130,000; 39,200)
1 (-90,000; 25,000; 41,630)
x² = (-120,500)² + (-105)² x²= 14520,25 + 11025 159,829m
Desnível 41,630 – 39,200 = 2,430m
159,829 - 2,430
X - 0,630 x = 41,437m C.N. = 41m
159,829 - 2,430
X - 1,630 x = 107,210m C.N. = 40m
Segmento 1E:
1 (-90,000; 25,000; 41,630)
E (25,000; 30,000; 39,900)
x ² = (115)² + (5)² x²= 13225 + 25 115,109m
Desnível 41,630 – 39,900 = 1,730m
115,109- 1,730
X - 0,630 x = 41,418m C.N. = 41m
115,109 - 1,730
X - 1,630 x = 108,455m C.N. = 40m
Segmento 2E:
2 (0,000; -100,000; 39,500)
E (25,000; 30,000; 39,900)
x²=(25)² + (130)² x²= 625 + 16900 132,382m
Desnível 39,900 - 39,500 = 0,400m
Não há curva de nível.
Segmento 3E:
3 (95,000; -35,000; 37,300)
E (25,000; 30,000; 39,900)
x² = (-70)² + (65)² x²= 4900 + 4225 95,525m
Desnível 39,900 - 37,300 = 2,600m
95,525 - 2,600
X - 0,900 x = 33,066m C.N. = 39m
95,525 - 2,600
X - 1,900 x = 69,806m C.N. = 38m
Segmento 4E:
4 (172,000; -98,000; 36,500)
E (25,000; 30,000; 39,900)
x² = (-147)² + (128)² x² = 21609 + 16384 194,918m
Desnível 39,900 - 37,300 = 3,400m
194,918 - 3,400
X - 0,900 x= 51,596m C.N. = 39m
194,918 - 3,400
X - 1,900 x = 108,925m C.N. = 38m
194,918 - 3,400
X - 2,900 x = 166,253m C.N. = 37m
Segmento 5E:
5 (233,000; 50,000; 34,800)
E (25,000; 30,000; 39,900)
x² = (-208)² + (-20)² x²= 43264 + 400 208,959m
Desnível 39,900 - 34,800 = 5,100m
208,959 - 5,100
X - 0,900 x = 36,875m C.N. = 39m
208,959 - 5,100
X - 1,900 x = 77,847m C.N. = 38m
208,959 - 5,100
X - 2,900 x = 118,820m C.N. = 37m
208,959 - 5,100
X - 3,900 x = 159,792 C.N. = 36m
208,959 - 5,100
X - 4,900 x = 200,764 C.N. = 35m
Segmento 6E:
6 (190,000; 160,000; 36,350)
E (25,000; 30,000; 39,900)
x ² = (-165)² + (-130)² x²= 27225 + 16900 210,059m
Desnível 39,900 - 36,350 = 3,550m
210,059 - 3,550
X - 0,900 x = 53,254m C.N. = 39m
210,059 - 3,550
X - 1,900 x = 112,426m C.N. = 38m
210,059 - 3,550
X - 2,900 x = 171,597m C.N. = 37m
Segmento 7E:
7 (60,000; 120,000; 39,500)
E (25,000; 30,000; 39,900)
x² = (-35)² + (-90)² x²= 1225 + 8100 96,566m
Desnível 39,900 - 39,500 = 0,400m
Não há curva de nível
Segmento 8E:
8 (30,500; 130,000; 39,200)
E (25,000; 30,000; 39,900)
x² = (-5,500)² + (-100)² x²= 30,250 + 10000 100,151m
Desnível 39,900 - 39,200 = 0,700m
Não há curva de nível
Calculo de área através de triangulos
Formula: A =
Triangulo E12
A=
A = 7412,514m²
Triangulo E23
A=
A = 5362,519m²
Triangulo E34
A=
A = 282,110m²
Triangulo E45
A=
A = 14782,120m²
Triangulo E56
A=
A = 11869,985m²
Triangulo E67
A=
A = 5147,234m²
Triangulo E78
A=
A = 1502,507m²
Triangulo E81
A=
A = 5736,355m²
ATOTAL = A1 +A2 + A3 +A4 + A5 + A6 + A7 + A8
ATOTAL = 52095,344 m²
Ângulos do internos polígono.
Obtidos através de AutoCAD.
812 = 95°
123 = 91°
234 = 254°
345 = 73°
456 = 136°
567 = 94°
678 = 216°
781= 121°
Cálculo dos Ângulos internos
1)
Coss= 56°44’8”
Coss= 38°34’42’’
1= 95°20’06’’
2)
Coss= 44°44’3”
Coss= 46°38’23’’
2= 91°22’26’’
3)
Coss= 78°56’30”
Coss= 176°24’12’’
3= 255°20’52’’
4)
Coss= 11°45’42”
Coss= 61°21’07’’
4 = 73°06’49’’
5)
Coss= 71°08’38”
Coss= 62°06’30
5 = 136°15’08’’
6)
Coss= 73°07’00”
Coss= 21°06’15
6 = 94°13’15’’
7)
Coss= 128°24’14”
Coss= 87°33’57
7 = 215°58’11’’
8)
Coss= 74°19’50”
Coss= 45°47’03”
8 = 120°06’53’’
Cálculo da Escala
Epx = Epy =
Epx = Epy =
Epx = Epy =
Usar escala
Cordenadas centrais
Xc=71,500 Yc=30,00