FACULDADES INTEGRADAS PITAGORAS DE MONTES CLAROS

CURSO DE ENGENHARIA CIVIL – 4º PERÍODO MATUTINO

Análise Topográfica de um

Terreno

Teodolito - Irradiação

LORENNA MARIA FARIAS LEÃO

LUCAS MARTINS DIAS

LUDMILLA ANDRADE PRATES

PEDRO HENRIQUE MENEZES DIAS

VICTOR DOS SANTOS RABELO SILVA

MONTES CLAROS

SETEMBRO 2015

TABELA – DADOS COLETADOS NO TERRENO

Cód Ré Estação Ponto

visado

Descriçã

o

Ângulo

horizontal

Ângulo

Vertical

Altura

(m)

FS

(m)

FM

(m)

F I

(m)

P NV E1 NV Norte 0° 00’ 00” - 1,42 - - -

I NV E1 01 Lote 282°52’16” 91°01’45” 1,42 1,20 1,10 1,00

I NV E1 02 Lote 256°51’30” 95°05’58” 1,42 1,18 1,09 1,00

I NV E1 03 Lote 222°31’06” 99°36’15” 1,42 1,22 1,11 1,00

I NV E1 04 Lote 212°40’22” 100°46’55” 1,42 1,278 1,139 1,00

I NV E1 05 Lote 181°31’32” 102°14’15” 1,42 1,258 1,129 1,00

I NV E1 06 Lote 193°03’00” 102°29’55” 1,42 1,28 1,14 1,00

I NV E1 07 Lote 170°51’52” 103°04’03” 1,42 1,10 1,05 1,00

I NV E1 08 Lote 273°49’07” 95°01’04” 1,42 1,08 1,04 1,00

I NV E1 09 Lote 306°05’20” 89°36’31” 1,42 1,11 1,055 1,00

I NV E1 10 Lote 347°10’09” 83°27’15” 1,42 1,09 1,045 1,00

I NV E1 11 Rua 268°11’05” 98°56’40” 1,42 1,23 1,115 1,00

I NV E1 12 Rua 243°24’18” 98°37’40” 1,42 1,24 1,12 1,00

I NV E1 13 Rua 261°32’29” 94°44’39” 1,42 1,306 1,153 1,00

I NV E1 14 Rua 271° 37’ 01” 93°06’30” 1,42 1,33 1,165 1,00

CÁLCULOS DOS PONTOS

Pontos no terreno

E1-01

FS: 1,20m

FI: 1,00m

FM: 1,10m

i: 1,42m

Ang. Horizontal: 282°52’16”

Ang. Vertical: 91°01’45”

α: -1°01’45”

Dr = (1,20-1,00)*100 * cos²(-1°01’45”) Dr = 19,99m

Dn = (1,20-1,00)*100 * sen2*(-1°01’45”) + 1.42 – 1,10 Dn = -0,04m

2

E1-02

FS: 1,18m

FI: 1,00m

FM: 1,09m

i: 1,42m

Ang. Horizontal: 256°51’30”

Ang. Vertical: 95°05’58”

α: -5°05’58”

Dr = (1,18-1,00)*100 * cos²(-5°05’58”) Dr = 17,86m

Dn = (1,20-1,00)*100 * sen2*(-5°05’58”) + 1.42 – 1,09 Dn = -2,86m

2

E1-03

FS: 1,22m

FI: 1,00m

FM: 1,11m

i: 1,42m

Ang. Horizontal: 222°31’06”

Ang. Vertical: 99°36’15”

α: -9°36’15”

Dr = (1,22-1,00)*100 * cos²(-9°36’15”) Dr = 21,39m

Dn = (1,22-1,00)*100 * sen2*(-9°36’15”) + 1.42 – 1,11 Dn = -23,31m

2

E1-04

FS: 1,278m

FI: 1,00m

FM: 1,139m

i: 1,42m

Ang. Horizontal: 212°40’22”

Ang. Vertical: 100°46’55”

α: -10°46’55”

Dr = (1,278-1,00)*100 * cos²(-10°46’55”) Dr = 26,83m

Dn = (1,278-1,00)*100 * sen2*(-10°46’55”) + 1.42 – 1,139 Dn = -4,83m

2

E1-05

FS: 1,258m

FI: 1,00m

FM: 1,129m

i: 1,42m

Ang. Horizontal: 181°31’32”

Ang. Vertical: 102°15’15”

α: -12°14’15”

Dr = (1,258-1,00)*100 * cos²(-12°14’15”) Dr = 24,64m

Dn = (1,258-1,00)*100 * sen2*-12°14’15” () + 1.42 – 1,129 Dn = -5,13m

2

E1-06

FS: 1,28m

FI: 1,00m

FM: 1,14m

i: 1,42m

Ang. Horizontal: 193°03’00”

Ang. Vertical: 102°24’55”

α: -12°24’55”

Dr = (1,28-1,00)*100 * cos²(-12°24’55”) Dr = 26,71m

Dn = (1,28-1,00)*100 * sen2*(-12°24’55”) + 1.42 – 1,14 Dn = -5,60m

2

E1-07

FS: 1,10m

FI: 1,00m

FM: 1,05m

i: 1,42m

Ang. Horizontal: 170°51’52”

Ang. Vertical: 103°04’03”

α: -13°04’03”

Dr = (1,20-1,00)*100 * cos²(-13°04’03”) Dr = 9,49m

Dn = (1,20-1,00)*100 * sen2*(-13°04’03”) + 1.42 – 1,05 Dn = -1,83m

2

E1-08

FS: 1,08m

FI: 1,00m

FM: 1,04m

i: 1,42m

Ang. Horizontal: 273°49’07”

Ang. Vertical: 95°01’04”

α: -5°01’04”

Dr = (1,08-1,00)*100 * cos²(-5°01’04”) Dr = 7,94m

Dn = (1,08-1,00)*100 * sen2*(-5°01’04”) + 1.42 – 1,10 Dn = -0,32m

2

E1-09

FS: 1,11m

FI: 1,00m

FM: 1,055m

i: 1,42m

Ang. Horizontal: 306°05’20”

Ang. Vertical: 89°36’31”

α: 0°23’29”

Dr = (1,11-1,00)*100 * cos²(0°23’29”) Dr = 11,00m

Dn = (1,11-1,00)*100 * sen2*(0°23’29”) + 1.42 – 1,055 Dn = 0,44m

2

E1-10

FS: 1,24m

FI: 1,00m

FM: 1,12m

i: 1,42m

Ang. Horizontal: 347°11’09”

Ang. Vertical: 83°27’15”

α: 6°32’45”

Dr = (1,24-1,00)*100 * cos²(6°32’45”) Dr = 8,88m

Dn = (1,24-1,00)*100 * sen2*(6°32’45”) + 1.42 – 1,12 Dn = 1,39m

2

Pontos na rua

E1-11

FS: 1,23m

FI: 1,00m

FM: 1,115m

i: 1,42m

Ang. Horizontal: 268°11’05”

Ang. Vertical: 98°56’40”

α: -8°56’40”

Dr = (1,23-1,00)*100 * cos²(-8°56’40”) Dr = 22,44m

Dn = (1,23-1,00)*100 * sen2*(-8°56’40”) + 1.42 – 1,115 Dn = -3,23m

2

E1-12

FS: 1,24m

FI: 1,00m

FM: 1,12m

i: 1,42m

Ang. Horizontal: 243°24’18”

Ang. Vertical: 98°37’40”

α: -8°37’40”

Dr = (1,24-1,00)*100 * cos²(-8°37’40”) Dr = 23,46m

Dn = (1,24-1,00)*100 * sen2*(-8°37’40”) + 1.42 – 1,12 Dn = -3,26m

2

E1-13

FS: 1,306m

FI: 1,00m

FM: 1,153m

i: 1,42m

Ang. Horizontal: 261°32’29”

Ang. Vertical: 94°44’39”

α: -4°44’39”

Dr = (1,306-1,00)*100 * cos²(-4°44’39”) Dr = 30,39m

Dn = (1,306-1,00)*100 * sen2*(-4°44’39”) + 1.42 – 1,153 Dn = -2,26m

2

E1-14

FS: 1,33m

FI: 1,00m

FM: 1,165m

i: 1,42m

Ang. Horizontal: 271°37’01”

Ang. Vertical: 93°06’30”

α: 3°06’30”

Dr = (1,33-1,00)*100 * cos²(3°06’30”) Dr = 32,90m

Dn = (1,33-1,00)*100 * sen2*(3°06’30”) + 1.42 – 1,165 Dn = 1,53m

2