Teoria de errores- topografia
Transcript of Teoria de errores- topografia
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UPNINGENIERIA AMBIENTAL
• CURSO: • TOPOGRAFIA 1
• TEMA: MEDICION DE DISTANCIA YTEORIA DE ERRORES
• DOCENTE: • ING. MANUEL G. ARIAS ESPICHAN
LEMA: SOLO LA PRACTICA FORMA BUENOS TOPOGRAFOS
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LEVANTAMIENTOS TOPOGRAFICOS
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INSTRUMENTOS TOPOGRAFICOS
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USO DE CINTAS,JALONES,PLOMADAS Y PRISMAS
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ALINEAMIENTO
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CRITERIOS PARA MEDIR UNA DISTANCIA
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ERRORES MAS FRECUENTES EN LA MEDICION CON CINTA
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DIFERENTES METODOS E INSTRUMENTOS USADOS EN LA MEDICION DE DISTANCIAS
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LEVANTAMIENTO CON CINTA METRICA
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CONCEPTO Y CLASIFICACION DE ERRORES
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CLASIFICACION DE LOS ERRORES
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ERRORES MAS COMUNES DE LA TOPOGRAFIA
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TEORIA DE PROBABILIDADES
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TEORIA DE PROBABILIDADES
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TEORIA DE PROBABILIDADES
• Ejemplo:
Se ha medido una distancia cuatro veces enun terreno plano, y los datos obtenidos fueron:
L1=310.25; L2=310.20; L3=310.30;L4= 310.27
Solución:
1) Se calcula el valor mas probable
X= (L1+L2+L3+L4)/n
X= (310.25+310.20+310.30+310.27)/4
X = 1241.02/4
X = 310.255 m
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VALOR RESIDUAL
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CUADRO RESUMEN DE VALOR RESIDUAL
• 3).- Se calcula el error medio cuadrático del valor mas probable
N° Lectura X L1-X1 v1xv1
Vi Vi²
1 310.25 310.255 -0.005 0.000025
2 310.30 310.255 0.045 0.002025
3 310.20 310.255 -0.055 0.003025
4 310.27 310.255 0.015 0.000225
Σvi= 0.000 0.0053
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MEDIO CUADRATICO DEL VALOR MAS PROBABLE
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TEORIA DE PROBABILIDADES
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EXACTITUD Y PRECISION
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EJEMPLO DE PRECISION
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COMPENSACION DE OBSERVACIONES DIRECTAS DE DIFERENTES PRECISIONES
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EJEMPLO PRACTICO
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MAPA CONCEPTUAL DE TEORIA DE ERRORES
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EJERCICIOS PRACTICOS DE MEDICION DE DISTANCIA Y TEORIA DE ERRORES
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REPASO DE TRIGONOMETRIA
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REPASO TRIGONOMETRICO
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TEORIA DE PROBABILIDADES
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ERROR PROBABLE
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EJERCICIOS
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DATOS DEL EJEMPLO
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RESOLVER LOS SIGUIENTES EJERCICIOS
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PROBLEMA PARA DESARROLLAR
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RESOLVER EL PROBLEMA
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DATOS DEL PROBLEMA