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LEVANTAMENTO TOPOGRÁFICO PLANIALTIMÉTRICO
Alunos (5A):
Patrick Dellon
Vicente Paulo Santana Neto
Victória Figueiredo Silva
LAVRAS - MG
2016
Memorial descritivo:
Proprietário: Universidade Federal de Lavras
Propriedade: Gleba Departamento de Engenharia
Comarca: Lavras UF: MG
Memorial de Cálculo
A) Cota da Estação:
Cota RNL = 100m
CEs = Crnl – DNes-rnl
CEs= 100 – 1,366 = 98,634
Cotas dos pontos:
CPn = Ces + DN es-pn
Limítrofes:
Cp1 = 98,634 + 1,659 = 100,293
Cp2 = 98,634 + (-2,029) = 96,605
Cp3 = 98,634 + (-2,019) = 96,615
Cp4 = 98,634 + 1,618 = 100,252
Internos de interesse
Cp5 = 98,634 + (-2,049) = 96,585
Cp6 = 98,634 + (-2,083) = 96,551
Cp7 = 98,634 + (-1,937) = 96,697
Cp8 = 98,634 + (-1,940) = 96,694
Cp9= 98,634 + (-2,089) = 96,545
Cp10 = 98,634 + (-2,073) = 98,561
Cp11 = 98,634 + (-0,445) = 98,189
Cp12 = 98,634 + (-0,497) = 98,137
Cp13 = 98,634 + (-0,586) = 98,048
Cp14 = 98,634 + (-0,676) = 97,958
Cp15 = 98,634 + (-0,279) = 98,355
Cp16 = 98,634 + (-0,177) = 98,457
Cp17 = 98,634 + (-0,045) = 98,589
Cp18 = 98,634 + (-0,084) = 98,550
Cp19 = 98,634 + 0,534 = 99,168
Cp20 = 98,634 + 0,521 = 99,155
Cp21 = 98,634 + 0,510 = 99,144
Cp22 = 98,634 + 0,573 = 99,207
Cp23 = 98,634 + 1,700 = 100,334
Cp24 = 98,634 + 1,663 = 100,297
Cp25 = 98,634 + 1,656 = 100,290
Cp26 = 98,634 + 1,661 = 100,295
Cp27 = 98,634 + 1,658 = 100,292
Cp28 = 98,634 + 1,666 = 100,300
Coordenadas:
Coordenadas Parciais
Xi= DH x Sen Az
Yi= DH x Cos Az
X Rnl = 0
Y Rnl = 0
XRnl = 25,465 x sen (0°) = 0
YRnl = 25,465 x cos (0°) = 25,465
X1 = 16,377 x sen (59°39’) = 14,133
Y1 = 16,377 x cos (59°39’) = 8,275
X2 = 12,157 x sen (230°15’) = -9,347
Y2 = 12,157 x cos (230°15’) = -7,774
X3 = 26,618 x sen (301°49’) = -22,618
Y3 = 26,618 x cos (301°49’) = 14,033
X4 = 28,246 x sen (4°28’) = 2,200
Y4 = 28,246 x cos (4°28’) = 28,160
X5 = 14,151 x sen (270°19’) = -14,507
Y5 = 14,151 x cos (270°19’) = 0,078
X6 = 19,528 x sen (290°43’) = -18,265
Y6 = 19,528 x cos (290°43’) = 6,908
X7 = 25,165 x sen (308°38’) = -19,658
Y7 = 25,165 x cos (308°38’) = 15,711
X8 = 19,316 x sen (302°35’) = -16,276
Y8 = 19,316 x cos (302°35’) = 10,402
X9 = 10,675 x sen (273°54’) = 10,650
Y9 = 10,675 x cos (273°54’) = 0,726
X10 = 9,086 x sen (227°55’) = -6,743
Y10 = 9,086 x cos (227°55’) = -6,090
X11 = 4,068 x sen (219°19’) = -2,578
Y11 = 4,068 x cos (219°19’) = 0,659
X12 = 6,769 x sen (295°30’) = -6,110
Y12 = 6,769 x cos (295°30’) = 2,914
X13 = 12,918 x sen (310°11’) = -9,869
Y13 = 12,918 x cos (310°11’) = 8,335
X14 = 23,616 x sen (319°06’) = -15,462
Y14 = 23,616 x cos (319°06’) = 17,850
X15 = 23,081 x sen (327°03’) = -12,554
Y15 = 23,081 x cos (327°03’) = 19,368
X16 = 12,021 x sen (328°30’) = -6,281
Y16 = 12,021 x cos (328°30’) = 10,250
X17 = 3,104 x sen (330°21’) = -1,536
Y17 = 3,104 x cos (330°21’) = 2,698
X18 = 1,729 x sen (150°55’) = 0,840
Y18 = 1,729 x cos (150°55’) = -1,511
X19 = 24,778 x sen (352°15’) = -3,341
Y19 = 24, 779 x cos (352°15’) = 24,553
X20 = 17,163 x sen (1°24’) = 0,419
Y20 = 17, 163 x cos (1°24’) = 17,158
X21 = 10,568 x sen (32°02’) = 5,605
Y21 = 10,568 x cos (32°02’) = 8,959
X22 = 9,653 x sen (59°09’) = 8,287
Y22 = 9,653 x cos (59°09’) = 4,950
X23 = 14,155 x sen (60°12’) = 12,283
Y23 = 14,155 x cos (60°12’) = 7,035
X24 = 14,721 x sen (43°25’) = 10,118
Y24 = 14,721 x cos (43°25’) = 10,693
X25 = 17,004 x sen (26°32’) = 7,596
Y25 = 17,004 x cos (26°32’) = 15,213
X26 = 26,983 x sen (2°05’) = 0,981
Y26 = 26,984 x cos (2°05’) = 26,966
X27 = 24,873 x sen (10°05’) = 4,356
Y27 = 24,873 x cos (10°05’) = 24,489
X28 = 18,024 x sen (34°48’) = 10,287
Y28 = 18,024 x cos (34°48’) = 14,800
Coordenadas Totais
X = X0 + Xi, tal que X0 seja maior que a menor coordenada parcial X 
Y = Y0 + Yi, tal que Y0 seja maior que a menor coordenada parcial Y 
X0 = 25 Y0 = 8
B) Cálculo de Área:
2S= Soma (Xn*Yn-1) - Soma (Xn*Yn+1)
2S= [(14,133 x 28,160) + (-9,347 x 8,275) + (-22,618 x -7,774) + (2,2 x 14,033)] – [(14,133 x -7,774) + (-9,347 x 14,033) + (-22,618 x 28,160) + (2,2 x 8,275)]
2S = 1387,1
S= 693,5 m²