Calculos Metodos De Topografia

FORMULAS

c b

a

SEMIPERIMETRO
S= a+b+c2
ÁREA
A= ss-as-b(s-c)
CALCULOS
AREA 1
S= d1-2+d2-6+d6-12 A= ss-d1-2s-d2-6(s-d6-1)
S= 12+17.358+14.92 A= 22.12922.129-1222.129-17.358(22.129-14.9)
S= 22.129m A= 87.294 m2
AREA 2
S= d2-3+d3-6+d6-22 A= ss-d2-3s-d3-6(s-d6-2)
S= 28+17.697+17.3582 A=31.52831.528-2831.528-17.697(31.528-17.358)
S= 31.528m A= 147.647 m2

AREA 3
S= d3-4+d4-6+d6-32 A= ss-d3-4s-d4-6(s-d6-3)
S= 24.867+15.804+17.6972 A= 29.18429.184-24.86729.184-15.804(29.184-17.697)
S= 29.184 m A= 139.154m2
AREA 4
S= d4-5+d5-6+d6-42 A= ss-d4-5s-d5-6(s-d6-4)
S= 10+12.425+15.8042A= 19.11519.115-1019.115-12.425(19.115-15.804)
S= 19.115m A= 62.124 m2
AREA 5
S= d5-1+d1-6+d6-52 A= ss-d5-1s-d1-6(s-d6-5)
S= 17+14.9+12.4252 A= 22.16322.163-1722.163-14.9(22.163-12.425)
S= 22.163 m A= 89.962 m2
AREA TOTAL
AT= A1 + A2 + A3 + A4 + A5
AT= 87.924 + 147.647 + 139. 154 + 62.124 + 89.962
AT=526.811 m2

TRIANGULACION

FORMULAS
AZIMUT
Si < 360° AZ= AZAB + ∡HAi
Si ≥ 360° AZ= AZAB + ∡HAi - 360°
∆E= d Sen (AZAi)
∆N= d Cos (AZAi)
E = EA + ∆E
N = NA + ∆N
CALCULOS

PUNTO 1
AZ= AZAB + ∡HA1 ∆E= d Sen (AZA1) ∆N= d Cos (AZA1)
AZ= 111° + 142° ∆E= 12.425Sen (253°) ∆N= 12.425Cos(253°)
AZ= 253° ∆E= -11.882 ∆N= -3.633

E = EA + ∆E N = NA + ∆N
E = 5000 - 11.882 N = 3000 - 3.633
E = 4988.118 N = 2996.367

PUNTO 2
AZ= AZAB + ∡HA2 ∆E= d Sen (AZA2) ∆N= d Cos (AZA2)
AZ= 111° + 65° ∆E=14.9 Sen (176°) ∆N= 14.9 Cos(176°)
AZ= 176° ∆E= 1.039 ∆N= -14.864

E = EA + ∆E N = NA + ∆N
E = 5000 + 1.039 N = 3000 – 14.864
E = 5001.039 N = 2985.136


PUNTO 3
AZ= AZAB + ∡HA3 ∆E= d Sen (AZA3) ∆N=d Cos (AZA3)
AZ= 111° + 23° ∆E= 17.358 Sen (134°) ∆N= 17.358 Cos(134°)
AZ= 134° ∆E= 12.486 ∆N= -12.058

E = EA + ∆E N = NA + ∆N
E = 5000 + 12.486 N = 3000 – 12.058
E = 5012.486 N = 2987.942

PUNTO 4
AZ= AZAB + ∡HA4 - 360° ∆E= dSen (AZA4) ∆N= d Cos (AZA4)
AZ= 111° + 277° - 360° ∆E= 17.697 Sen (28°) ∆N= 17.697 Cos(28°)
AZ= 28° ∆E= 8.308 ∆N= 15.626

E = EA + ∆E N = NA + ∆N
E = 5000 + 8.308 N = 3000 + 15.626
E = 5008.308 N =3015.626PUNTO 5
AZ= AZAB + ∡HA5 ∆E= d Sen (AZA5) ∆N= d Cos (AZA5)
AZ= 111° + 181° ∆E= 15.804 Sen (292°) ∆N= 15.804 Cos(292°)
AZ= 292° ∆E= -14.653 ∆N= 5.920

E = EA + ∆E N = NA + ∆N
E = 5000 – 14.653 N = 3000 + 5.920
E = 4985.347N = 3005.920



AREA TOTAL
A= 12 E1 N2+E2N3+E3N4+E4N5+E5N1-E1N5-E5N4-E4N3-E3N2-E2N1│
A= 12│(4988.118)(2985.126)+(5001.039)(2987.942)+(5012.486)(3015.626)+
(5008.308)(3005.926)+(4985.347)(2996.367)-(4988.118)(3005.920)-
(4985.347)(3015.626)-(5008.308)(2987.942)-(5012.486)(2985.136)-
(5001.039)(2996.3679)│

A= 12│1055.449│

A= 527.724 m2...