UNIVERSIDAD NACIONAL DE INGENIERÍA Facultad de Ingeniería Ambiental
PROFESOR:
Ing. VIDAL CAMPOMANES JUAN INTEGRANTES:
NIVELACIÓN
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
INTRODUCCIÓN
Como bien sabemos la nivelación de manera sencilla consiste en una serie de operaciones de campo y gabinete que nos permite encontrar las diferencias de altura entre dos o más puntos del terreno; llamando a esta diferencia de alturas las cotas. La nivelación topográfica de manera simple y fácil podemos usarlas en una diversidad de trabajos de campo, así por ejemplo, para hacer algún canal de regadío o en las mismas carreteras, para poder establecer de esta manera la pendiente, y de la misma manera hacia donde canalizar el agua debido a las lluvias, pero dejemos en claro que la nivelación tiene innumerable usos. En nuestro respectivo informe usaremos la nivelación geométrica, la que de manera básica y sencilla es la más fácil de trabajar. Nuestro trabajo de nivelación nivelació n está abocado a 6 puntos que tomamos alrededor de la FACULTAD DE INGENIERIA QUIMICA FIQ , conociendo de ella las variaciones de cota existentes. Finalmente, con todo ello nos estamos preparando para afrontar todos los posibles trabajos de campo, que más adelante se presentarán pr esentarán en nuestra carrera profesional.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
OBJETIVOS
Obtener las cotas de puntos desconocidos a partir de una cota conocida (BENCH MARK).
Dibujar el perfil longitudinal de un levantamiento topográfico
Conseguir el buen manejo del nivel del ingeniero y su aplicación a la altimetría tratando de conseguir el menor error posible.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
FUNDAMENTO TEÓRICO ALTIMETRIA:
La altimetría es parte de topografía que engloba todas las operaciones encaminadas a determinar las posiciones de los puntos en la dirección vertical, respecto a un plano, es decir a la coordenada Z que no se utiliza en planimetría. En cuanto a la medición y determinación de las posiciones de los puntos con respecto a la vertical, en altimetría se manejan manejan los siguientes conceptos:
COTA:
Es la distancia entre un punto y una superficie de referencia.
PERFIL LONGITUDINAL
NIVELACIÓN:
El conjunto de operaciones que se requieren para determinar topográficamente el
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
NIVELACION TRIGONOMETRICA:
También llamada nivelación por pendientes, se realiza con teodolito o taquímetro pero sin mira, y también estación total, se usa habitualmente para medir desniveles a gran distancia.
NIVELACION TAQUIMETRICA:
Se efectúa con aparatos de visual libre y mira: teodolitos o taquímetros, es de menos precisión y en general se combina con los métodos de planimetría.
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NIVELACION SIN VISUAL:
Realizada con otros instrumentos sin visual, como niveles de agua u otros, y son métodos que no entran estrictamente dentro del campo de la topografía.
NIVELACION BAROMETRICA:
Se realiza calculando la diferencia de presión entre los puntos cuyos desniveles se pretende calcular, siendo el menos preciso de todos los sistemas.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
NIVELACIÓN GEOMÉTRICA:
Es el más preciso y utilizado de todos, se lleva a cabo mediante la utilización de un nivel óptico o electrónico, existen cuatro tipos de nivelación geométrica definidos según su precisión: 1° y 2° orden (utilizados en geodesia), 3° y 4° orden (utilizados en topografía), el procedimiento es igual en todos ellos, solo cambian los elementos utilizados para medir; y también podríamos diferenciar dos tipos más según el trabajo a realizar: nivelación geométrica lineal (si se nivela desde un punto hasta otro siguiendo una trayectoria que una ambos) o nivelación geométrica de superficie (cuando nivelamos un sector o una línea desde una misma estación referida a un mismo plano de referencia). El procedimiento para nivelaciones lineales sean estas topográficas o geodésicas es igual, solo cambia la precisión a alcanzar y los instrumentos a utilizar. Se realiza mediante lecturas efectuadas con el Hilo Medio del retículo del nivel, sobre una mira graduada que se coloca a una distancia no mayor de 60 o 70 m, estas lecturas se restan convenientemente entre sí obteniéndose de esta manera el desnivel existente entre los dos puntos donde estuvo apoyada la mira.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
Replanteo de la cota en un punto desconocido: Para el trabajo con cotas debemos tener al menos uno de los puntos, objetos del trabajo, con cota conocida o un PF en sus inmediaciones, a los efectos de tomarlo como plano de referencia, de no ser así se deberá hacer una nivelación, llamada de "enlace" a los efectos de darle cota a uno de los puntos dentro del trabajo, de no ser posible o económicamente conveniente siempre queda la opción de nivelar uno de los puntos mediante la colocación sobre él de un baroaltímetro (instrumento que a través de la medición de la presión barométrica nos da una altura sobre el nivel del mar bastante aproximada) o simplemente darle una cota arbitraria. ar bitraria. Supongamos como en el caso anterior tener un PF como inicio del trabajo, esto facilita la tarea, se debe colocar la mira sobre este y se toma la lectura, en general solo se utiliza el hilo medio, aunque algunos prefieren tomar lecturas sobre los tres hilos y hacer luego la comprobación siguiente:
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
Tipos de nivelación geométrica: Nivelación geométrica compuesta o lineal: Es el más usado ya que generalmente los puntos a nivelar se encuentran a más de la distancia máxima en que se puede colocar la mira, y por lo tanto se deben realizar tantas nivelaciones simples como sean necesarias para unirlos, para realizar una nivelación se debe tener en cuenta una distancia para cada tramo de entre 120 a 180 m y luego dividir la longitud total por esta distancia para hallar la cantidad de tramos a realizar; los puntos intermedios entre los dos (o más) puntos objetos del trabajo, se llamarán puntos de paso o PP.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
Es la nivelación que se ejecuta partiendo de un PF, acotando varios puntos desde una misma estación. Para su ejecución se lee sobre la mira colocada sobre un PF, y se obtiene un PV que será común a todos los puntos relevados o replanteados, de ahí en adelante. Este procedimiento se utiliza en los casos en que se debe relevar una superficie para conocer su pendiente o para luego dibujar las curvas de nivel que representarán una superficie en un gráfico, o también al replantear la pendiente de por ejemplo un caño de cloacas o el cordón de una vereda.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
1 Cinta métrica 1 nivel 2 miras 3 jalones 1 plomada
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
1- Colocamos la mira en el punto BM del cual ya tenemos la cota (CEPS UNI) mientras ubicamos el nivel a una distancia aproximada de 20 pasos.
2- Una vez establecido el nivel, nivelamos la parábola y el ojo de pollo enfocando
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
4- Una vez realizado el paso anterior y después después de haber haber tomado la medida de de la mira, ahora movilizamos el nivel colocándolo a una distancia de 20 pasos aproximadamente de la mira en el punto “1”, y repetimos los pasos anteriores
ubicando puntos que nos ayuden a realizar mejor el trabajo, hasta llegar al punto “A” de nuestro polígono, que es el punto mas cercano al “BM”. Luego realizamos reali zamos los pasos anteriores pero esta vez en dirección del punto “A” al “BM”.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
CALCULOS Y RESULTADOS 1ERA PARTE: LLEVAR LA COTA A UN VERTICE DE LA POLIGONAL (PUNTO A) PARTIENDO DEL PUNTO “BM” SEÑALADO (CEPS UNI) DATOS DE LA LIBRETA DE CAMPO:
PTO
L (+)
BM CEPS 1 2 3 4 5 6 F 1 2
1.655 1.418 1.375 1.468 1.478 1.425 1.490 1.468 1.110 1.292
112.285 112.633 112.979 113.337 113.897 114.232 114.692 114.570 114.311 114.198
L(-)
COTA
DISTANCIA
1.070 1.029 1.110 0.918 1.090 1.030 1.590 1.369 1.405
110.630 111.215 111.604 111.869 112.419 112.807 113.202 113.102 113.201 112.906
0 20 20 20 20 20 20 16.5 20 20
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= 0.008 m = ±0.02√
:
√ 256.1 = ±0.02 0.02√ 256.1 = 0.320 ± < = 113.6797
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
2DA PARTE: CALCULO CALCULO DE COTAS DE LOS VERTICES VERTICES DE LA POLIGONAL POLIGONAL DATOS DE LIBRETA DE CAMPO:
|
L (+)
L( - )
COTA
DISTANCIA DISTAN CIA
AI
A
1.334
115.0137
A1
1.521
115.6177
0.917
114.0967
40
40
A2
1.323
115.8977
1.043
114.5747
40
80
113.6797
CI
COTA COM
0
113.6797
114.096495 0.00020517 114.57429 0.00041034
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
COTAS DE LOS VERTICES DE LA POLIGONAL:
PUNTO
COTA
A
113.6797 msnm
B
114.799112 msnm
C
114.129744 msnm
D
113.266385 msnm
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL C1 C2 C3 D1 D2 E1 F1 F2 F3 F4 A
1.299
115.3057
0.99 1.038
114.8357 114.4697
1.478
114.7637
1.46 1.452 1.46 1.404 1.375 1.348 1.472 1.184 1.6 1.432 1.096
DATOS DE LA LIBRETA DE CAMPO:
114.0067 113.8537 113.8457 113.4317 113.0947 113.1217 112.9977 113.2857 113.1637 113.3317 113.6677
20 20 20 20 20 20 20 20 20 20 9.919
200 220 240 260 280 300 320 340 360 380 389.919
+0.00615512 +0.00677064 +0.00738615 +0.00800166 +0.00861717 +0.00923269 +0.0098482 +0.01046371 +0.01107922 +0.01169474 +0.012
114.0128551 113.8604706 113.8530861 113.4397017 113.1033172 113.1309327 113.0075482 113.2961637 113.1747792 113.3433947 113.6797
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En primer lugar para poder empezar a realizar el trabajo de campo debemos de contar con un equipo que este en óptimas condiciones de uso ya que si en caso de que presentara algún imperfección haría erróneo nuestras mediciones, por consiguiente sabemos sabemos que el trabajo de campo en topografía el error tiene
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
CONCLUSIONES
Que el lugar de trabajo en este caso la Facultad De Ingeniería Química y sus
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL
ANEXO
Croquis señalando los puntos y distancias de los recorridos.
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UNIVERSIDAD NACIONAL DE INGENIERÍA FIGMM TOPOGRAFIA GENERAL