Caminos Metodo Bruce

75
Dist. entre curvas de nivel (m) 50 Escala 1/65000 1cm= 650.2m Inverso del Coef. de Traccion K = 35 (%) (cm) (m) 0.5 15.38 10000.00 1.0 7.69 5000.00 1.5 5.13 3333.33 2.0 3.85 2500.00 2.5 3.08 2000.00 3.0 2.56 1666.67 3.5 2.20 1428.57 4.0 1.92 1250.00 4.5 1.71 1111.11 5.0 1.54 1000.00 5.5 1.40 909.09 6.0 1.28 833.33 6.5 1.18 769.23 7.0 1.10 714.29 Pendiente (%) Abertura de Compas (cm) Longitud Real (m) MEJ

description

calculo de distabcia de una carretera por el metodo de bruce

Transcript of Caminos Metodo Bruce

Page 1: Caminos Metodo Bruce

Dist. entre curvas de nivel (m) 50

Escala 1/65000

1cm= 650.2m

Inverso del Coef. de Traccion K = 35

(%) (cm) (m)0.5 15.38 10000.00

1.0 7.69 5000.00

1.5 5.13 3333.33

2.0 3.85 2500.00

2.5 3.08 2000.00

3.0 2.56 1666.67

3.5 2.20 1428.57

4.0 1.92 1250.00

4.5 1.71 1111.11

5.0 1.54 1000.00

5.5 1.40 909.09

6.0 1.28 833.33

6.5 1.18 769.23

7.0 1.10 714.29

Pendiente (%)

Abertura de Compas (cm)

Longitud Real (m)

MEJOR RUTA

Page 2: Caminos Metodo Bruce

65000

MEJOR RUTA

Page 3: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

K = 35

PUNTOS % ABSCISA (m) ΔX COTAS (m) ΔY PENDIENTE

A 0 - 2650 - -

1 5 1000.00 1000.00 2600 -50 -5.0

2 5 2000.00 1000.00 2550 -50 -5.0

3 6 2833.33 833.33 2500 -50 -6.0

4 0 3483.33 650.00 2500 0 0.0

5 6 4316.67 833.33 2550 50 6.0

6 6 5150.00 833.33 2600 50 6.0

7 6 5250.00 100.00 2650 50 6.0

8 0 5900.00 650.00 2650 0 0.0

9 6 6733.33 833.33 2700 50 6.0

10 6 7566.67 833.33 2750 50 6.0

11 5 8566.67 1000.00 2800 50 5.0

12 0 9216.67 650.00 2800 0 0.0

13 5 10216.67 1000.00 2750 -50 -5.0

14 5 11216.67 1000.00 2700 -50 -5.0

15 5 12216.67 1000.00 2650 -50 -5.0

16 0 12866.67 650.00 2650 0 0.0

17 5 13866.67 1000.00 2600 -50 -5.0

18 5 14866.67 1000.00 2550 -50 -5.0

19 5 15866.67 1000.00 2500 -50 -5.0

20 0 16516.67 650.00 2500 0 0.0

21 6 17350.00 833.33 2450 -50 -6.0

22 6 18183.33 833.33 2400 -50 -6.0

23 6 19016.67 833.33 2350 -50 -6.0

24 6 19850.00 833.33 2300 -50 -6.0

25 0 20600.00 750.00 2300 0 0.0

26 5 21600.00 1000.00 2250 -50 -5.0

27 5 22600.00 1000.00 2200 -50 -5.0

28 5 23600.00 1000.00 2150 -50 -5.0

29 5 24600.00 1000.00 2100 -50 -5.0

30 0 25600.00 1000.00 2050 -50 0.0

31 6 26433.33 833.33 2000 -50 -6.0

32 6 27266.67 833.33 1950 -50 -6.0

33 0 27766.67 500.00 1950 0.0

34 6 28600.00 833.33 1900 -50 -6.0

35 6 29433.33 833.33 1850 -50 -6.0

36 6 30266.67 833.33 1800 -50 -6.0

37 6 31100.00 833.33 1750 -50 -6.0

RUTA 1

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38 6 31933.33 833.33 1700 -50 -6.0

39 0 32733.33 800.00 1700 0.0

40 6 33566.67 833.33 1650 -50 -6.0

41 6 34400.00 833.33 1600 -50 -6.0

42 0 34750.00 350.00 1600 0.0

43 5 35750.00 1000.00 1650 50 5.0

44 5 36750.00 1000.00 1700 50 5.0

45 5 37750.00 1000.00 1750 50 5.0

46 6 38583.33 833.33 1800 50 6.0

47 0 39383.33 800.00 1800 0.0

48 6 40216.67 833.33 1850 50 6.0

49 6 41050.00 833.33 1900 50 6.0

50 0 41550.00 500.00 1900 0.0

51 6 42383.33 833.33 1950 50 6.0

52 6 43216.67 833.33 2000 50 6.0

53 6 44050.00 833.33 2050 50 6.0

54 5 45050.00 1000.00 2000 -50 -5.0

55 5 46050.00 1000.00 1950 -50 -5.0

56 5 47050.00 1000.00 1900 -50 -5.0

57 0 47700.00 650.00 1900 0.0

58 5 48700.00 1000.00 1850 -50 -5.0

59 5 49700.00 1000.00 1800 -50 -5.0

60 6 50533.33 833.33 1750 -50 -6.0

61 0 51183.33 650.00 1750 0.0

62 6 52016.67 833.33 1700 -50 -6.0

63 6 52850.00 833.33 1650 -50 -6.0

64 6 53683.33 833.33 1600 -50 -6.0

65 0 54183.33 500.00 1600 0.0

66 6 55016.67 833.33 1550 -50 -6.0

67 5 56016.67 1000.00 1500 -50 -5.0

68 0 56516.67 500.00 1500 0.0

69 5 57516.67 1000.00 1450 -50 -5.0

70 5 58516.67 1000.00 1400 -50 -5.0

71 5 59516.67 1000.00 1350 -50 -5.0

72 5 60516.67 1000.00 1300 -50 -5.0

73 5 61516.67 1000.00 1250 -50 -5.0

74 0 62016.67 500.00 1250 0.0

75 4 63266.67 1250.00 1300 50 4.0

76 4 64516.67 1250.00 1350 50 4.0

77 0 65016.67 500.00 1350 0.0

78 6 65850.00 833.33 1400 50 6.0

79 6 66683.33 833.33 1450 50 6.0

80 6 67516.67 833.33 1500 50 6.0

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81 0 68016.67 500.00 1500 0.0

82 6 68850.00 833.33 1550 50 6.0

83 6 69683.33 833.33 1600 50 6.0

84 6 70516.67 833.33 1650 50 6.0

85 0 71016.67 500.00 1650 0.0

86 6 71850.00 833.33 1700 50 6.0

87 6 72683.33 833.33 1750 50 6.0

88 6 73516.67 833.33 1800 50 6.0

89 6 74350.00 833.33 1850 50 6.0

90 0 75000.00 650.00 1850 0.0

91 5 76000.00 1000.00 1900 50 5.0

92 5 77000.00 1000.00 1950 50 5.0

93 5 78000.00 1000.00 2000 50 5.0

94 5 79000.00 1000.00 2050 50 5.0

95 0 79650.00 650.00 2050 0.0

96 6 80483.33 833.33 2100 50 6.0

97 6 81316.67 833.33 2150 50 6.0

98 6 82150.00 833.33 2200 50 6.0

99 0 82650.00 500.00 2200 0.0

100 6 83483.33 833.33 2150 -50 -6.0

101 6 84316.67 833.33 2100 -50 -6.0

102 6 85150.00 833.33 2050 -50 -6.0

103 6 85983.33 833.33 2000 -50 -6.0

104 0 86633.33 650.00 2000 0.0

105 5 87633.33 1000.00 1950 -50 -5.0

106 5 88633.33 1000.00 1900 -50 -5.0

107 5 89633.33 1000.00 1850 -50 -5.0

108 5 90633.33 1000.00 1800 -50 -5.0

109 0 91283.33 650.00 1800 0.0

110 5 92283.33 1000.00 1750 -50 -5.0

111 5 93283.33 1000.00 1700 -50 -5.0

112 5 94283.33 1000.00 1650 -50 -5.0

113 0 94783.33 500.00 1650 0.0

114 6 95616.67 833.33 1600 -50 -6.0

115 6 96450.00 833.33 1550 -50 -6.0

116 6 97283.33 833.33 1500 -50 -6.0

117 6 98116.67 833.33 1450 -50 -6.0

118 0 98766.67 650.00 1450 0.0

119 6 99600.00 833.33 1400 -50 -6.0

120 6 100433.33 833.33 1350 -50 -6.0

121 6 101266.67 833.33 1300 -50 -6.0

122 6 102100.00 833.33 1250 -50 -6.0

123 0 102750.00 650.00 1200 -50 0.0

124 6 103583.33 833.33 1150 -50 -6.0

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125 6 104416.67 833.33 1100 -50 -6.0

126 0 104716.67 300.00 1100 0.0

127 5 105716.67 1000.00 1150 50 5.0

128 5 106716.67 1000.00 1200 50 5.0

129 4 107966.67 1250.00 1250 50 4.0

130 0 108616.67 650.00 1250 0.0

131 4 109866.67 1250.00 1300 50 4.0

132 4 111116.67 1250.00 1350 50 4.0

133 4 112366.67 1250.00 1400 50 4.0

134 0 113016.67 650.00 1400 0.0

135 5 114016.67 1000.00 1450 50 5.0

136 5 115016.67 1000.00 1500 50 5.0

137 5 116016.67 1000.00 1550 50 5.0

138 0 116516.67 500.00 1550 0.0

139 5 117516.67 1000.00 1600 50 5.0

140 5 118516.67 1000.00 1650 50 5.0

141 5 119516.67 1000.00 1700 50 5.0

142 5 120516.67 1000.00 1750 50 5.0

143 0 121016.67 500.00 1750 0.0

144 5 122016.67 1000.00 1800 50 5.0

145 3 123683.33 1666.67 1850 50 3.0

146 0 124183.33 500.00 1850 0.0

147 6 125016.67 833.33 1900 50 6.0

148 6 125850.00 833.33 1950 50 6.0

149 6 126683.33 833.33 2000 50 6.0

150 6 127516.67 833.33 2050 50 6.0

151 6 128350.00 833.33 2100 50 6.0

152 0 129000.00 650.00 2100 0.0

153 5 130000.00 1000.00 2050 -50 -5.0

154 5 131000.00 1000.00 2000 -50 -5.0

155 6 131833.33 833.33 1950 -50 -6.0

156 0 132333.33 500.00 1950 0.0

157 6 133166.67 833.33 1900 -50 -6.0

158 0 133466.67 300.00 1900 0.0

159 6 134300.00 833.33 1850 -50 -6.0

160 6 135133.33 833.33 1800 -50 -6.0

161 6 135966.67 833.33 1750 -50 -6.0

162 0 136466.67 500.00 1750 0.0

163 5 137466.67 1000.00 1700 -50 -5.0

164 6 138300.00 833.33 1650 -50 -6.0

165 6 139133.33 833.33 1600 -50 -6.0

166 0 139633.33 500.00 1600 0.0

167 6 140466.67 833.33 1550 -50 -6.0

168 6 141300.00 833.33 1500 -50 -6.0

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169 6 142133.33 833.33 1450 -50 -6.0

170 0 142633.33 500.00 1450 0.0

171 6 143466.67 833.33 1400 -50 -6.0

172 6 144300.00 833.33 1350 -50 -6.0

173 6 145133.33 833.33 1300 -50 -6.0

174 6 145966.67 833.33 1250 -50 -6.0

175 0 146966.67 1000.00 1250 0.0

176 5 147966.67 1000.00 1200 -50 -5.0

177 5 148966.67 1000.00 1150 -50 -5.0

178 5 149966.67 1000.00 1100 -50 -5.0

179 0 150466.67 500.00 1100 0.0

180 6 151300.00 833.33 1050 -50 -6.0

181 6 152133.33 833.33 1000 -50 -6.0

182 5 153133.33 1000.00 950 -50 -5.0

183 0 153633.33 500.00 950 0.0

184 6 154466.67 833.33 900 -50 -6.0

185 6 155300.00 833.33 850 -50 -6.0

186 0 155600.00 300.00 850 0.0

187 6 156433.33 833.33 900 50 6.0

188 6 157266.67 833.33 950 50 6.0

189 6 158100.00 833.33 1000 50 6.0

190 6 158933.33 833.33 1050 50 6.0

191 6 159766.67 833.33 1100 50 6.0

192 0 160416.67 650.00 1100 0.0

193 6 161250.00 833.33 1150 50 6.0

194 6 162083.33 833.33 1200 50 6.0

195 6 162916.67 833.33 1250 50 6.0

196 6 163750.00 833.33 1300 50 6.0

197 6 164583.33 833.33 1250 -50 -6.0

198 6 165416.67 833.33 1200 -50 -6.0

199 0 165716.67 300.00 1200 0.0

200 6 166550.00 833.33 1150 -50 -6.0

201 5 167550.00 1000.00 1100 -50 -5.0

202 5 168550.00 1000.00 1050 -50 -5.0

203 0 168850.00 300.00 1050 0.0

204 6 169683.33 833.33 1100 50 6.0

205 5 170683.33 1000.00 1150 50 5.0

206 6 171516.67 833.33 1200 50 6.0

207 6 172350.00 833.33 1250 50 6.0

208 0 173000.00 650.00 1250 0.0

209 5 174000.00 1000.00 1300 50 5.0

210 5 175000.00 1000.00 1350 50 5.0

211 5 176000.00 1000.00 1400 50 5.0

212 5 177000.00 1000.00 1450 50 5.0

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213 0 177650.00 650.00 1450 0.0

214 6 178483.33 833.33 1500 50 6.0

215 6 179316.67 833.33 1550 50 6.0

216 6 180150.00 833.33 1600 50 6.0

217 6 180983.33 833.33 1650 50 6.0

218 0 181633.33 650.00 1650 0.0

219 6 182466.67 833.33 1700 50 6.0

220 5 183466.67 1000.00 1750 50 5.0

221 6 184300.00 833.33 1800 50 6.0

222 6 185133.33 833.33 1850 50 6.0

223 0 185783.33 650.00 1850 0.0

224 5 186783.33 1000.00 1900 50 5.0

225 5 187783.33 1000.00 1950 50 5.0

226 5 188783.33 1000.00 2000 50 5.0

227 5 189783.33 1000.00 2050 50 5.0

228 6 190616.67 833.33 2100 50 6.0

229 0 191266.67 650.00 2100 0.0

230 6 192100.00 833.33 2150 50 6.0

231 6 192933.33 833.33 2200 50 6.0

232 5 193933.33 1000.00 2250 50 5.0

233 5 194933.33 1000.00 2300 50 5.0

234 0 195583.33 650.00 2300 0.0

235 6 196416.67 833.33 2350 50 6.0

236 6 197250.00 833.33 2400 50 6.0

237 6 198083.33 833.33 2450 50 6.0

238 5 199083.33 1000.00 2500 50 5.0

239 0 199733.33 650.00 2500 0.0

240 6 200566.67 833.33 2550 50 6.0

241 6 201400.00 833.33 2600 50 6.0

242 6 202233.33 833.33 2650 50 6.0

243 6 203066.67 833.33 2700 50 6.0

244 0 203716.67 650.00 2700 0.0

245 5 204716.67 1000.00 2750 50 5.0

246 5 205716.67 1000.00 2800 50 5.0

247 5 206716.67 1000.00 2850 50 5.0

248 5 207716.67 1000.00 2900 50 5.0

249 0 208366.67 650.00 2900 0.0

250 6 209200.00 833.33 2950 50 6.0

251 6 210033.33 833.33 3000 50 6.0

252 0 210533.33 500.00 3000 0.0

253 6 211366.67 833.33 2950 -50 -6.0

254 6 212200.00 833.33 2900 -50 -6.0

255 6 213033.33 833.33 2850 -50 -6.0

256 6 213866.67 833.33 2800 -50 -6.0

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257 6 214700.00 833.33 2750 -50 -6.0

258 6 215533.33 833.33 2700 -50 -6.0

259 6 216366.67 833.33 2650 -50 -6.0

260 0 217016.67 650.00 2650 0.0

261 6 217850.00 833.33 2600 -50 -6.0

262 6 218683.33 833.33 2550 -50 -6.0

263 6 219516.67 833.33 2500 -50 -6.0

264 6 220350.00 833.33 2450 -50 -6.0

265 6 221183.33 833.33 2400 -50 -6.0

266 0 221833.33 650.00 2400 0.0

267 6 222666.67 833.33 2350 -50 -6.0

268 6 223500.00 833.33 2300 -50 -6.0

269 6 224333.33 833.33 2250 -50 -6.0

270 0 224833.33 500.00 2250 0.0

271 6 225666.67 833.33 2200 -50 -6.0

272 6 226500.00 833.33 2150 -50 -6.0

273 6 227333.33 833.33 2100 -50 -6.0

274 6 228166.67 833.33 2050 -50 -6.0

275 6 229000.00 833.33 2000 -50 -6.0

276 6 229833.33 833.33 1950 -50 -6.0

277 0 230833.33 1000.00 1950 0.0

278 5 231833.33 1000.00 2000 50 5.0

279 5 232833.33 1000.00 2050 50 5.0

280 6 233666.67 833.33 2100 50 6.0

281 0 234166.67 500.00 2100 0.0

282 6 235000.00 833.33 2150 50 6.0

283 4 236250.00 1250.00 2200 50 4.0

284 6 237083.33 833.33 2250 50 6.0

285 0 237583.33 500.00 2250 0.0

286 6 238416.67 833.33 2300 50 6.0

287 6 239250.00 833.33 2350 50 6.0

288 6 240083.33 833.33 2400 50 6.0

289 6 240916.67 833.33 2450 50 6.0

290 0 241416.67 500.00 2450 0.0

291 6 242250.00 833.33 2500 50 6.0

292 0 242550.00 300.00 2500 0.0

293 6 243383.33 833.33 2550 50 6.0

294 0 243683.33 300.00 2550 0.0

295 5 244683.33 1000.00 2600 50 5.0

296 5 245683.33 1000.00 2650 50 5.0

B 5 246683.33 1000.00 2700 50 5.0

246683.33

COTA MAXIMA 3000msnmCOTA MINIMA 850msnm

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PENDIENTE MEDIA 4.72%LONG. RESISTENTE K 654+433

Page 11: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

Dist. entre curvas (m) 50Escala 1/ 65000

CONTRAPENDIENTE

IDA REGRESO

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5850.00 5800.00

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654433.33

901116.67

Page 19: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

K = 35

PUNTOS % ABSCISA (m) ΔX COTAS (m) ΔY PENDIENTE

A 0 - 2650 - -

1 5 1000.00 1000.00 2700 50 5.0

2 6 1833.33 833.33 2750 50 6.0

3 5 2833.33 1000.00 2800 50 5.0

4 0 3483.33 650.00 2800 0 0.0

5 6 4316.67 833.33 2850 50 6.0

6 6 5150.00 833.33 2800 -50 -6.0

7 6 5983.33 833.33 2750 -50 -6.0

8 0 6633.33 650.00 2750 0 0.0

9 6 7466.67 833.33 2700 -50 -6.0

10 5 8466.67 1000.00 2650 -50 -5.0

11 5 9466.67 1000.00 2600 -50 -5.0

12 0 10116.67 650.00 2600 0 0.0

13 6 10950.00 833.33 2550 -50 -6.0

14 6 11783.33 833.33 2500 -50 -6.0

15 6 12616.67 833.33 2450 -50 -6.0

16 0 13266.67 650.00 2450 0 0.0

17 4 14516.67 1250.00 2400 -50 -4.0

18 4 15766.67 1250.00 2350 -50 -4.0

19 3 17433.33 1666.67 2300 -50 -3.0

20 4 18683.33 1250.00 2250 -50 -4.0

21 5 19683.33 1000.00 2200 -50 -5.0

22 5 20683.33 1000.00 2150 -50 -5.0

23 6 21516.67 833.33 2100 -50 -6.0

24 0 22166.67 650.00 2100 0 0.0

25 6 23000.00 833.33 2050 -50 -6.0

26 6 23833.33 833.33 2000 -50 -6.0

27 0 24483.33 650.00 2000 0 0.0

28 6 25316.67 833.33 1950 -50 -6.0

29 6 26150.00 833.33 1900 -50 -6.0

30 5 27150.00 1000.00 1850 -50 -5.0

31 0 27800.00 650.00 1850 0 0.0

32 6 28633.33 833.33 1800 -50 -6.0

33 6 29466.67 833.33 1750 -50 -6.0

RUTA 2

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34 6 30300.00 833.33 1700 -50 -6.0

35 0 30950.00 650.00 1700 0 0.0

36 6 31783.33 833.33 1650 -50 -6.0

37 6 32616.67 833.33 1600 -50 -6.0

38 0 33266.67 650.00 1600 0 0.0

39 5 34266.67 1000.00 1550 -50 -5.0

40 6 35100.00 833.33 1500 -50 -6.0

41 6 35933.33 833.33 1450 -50 -6.0

42 0 36583.33 650.00 1450 0 0.0

43 5 37583.33 1000.00 1400 -50 -5.0

44 6 38416.67 833.33 1350 -50 -6.0

45 6 39250.00 833.33 1300 -50 -6.0

46 0 39900.00 650.00 1300 0 0.0

47 4 41150.00 1250.00 1350 50 4.0

48 6 41983.33 833.33 1400 50 6.0

49 6 42816.67 833.33 1450 50 6.0

50 6 43650.00 833.33 1500 50 6.0

51 0 44300.00 650.00 1500 0 0.0

52 6 45133.33 833.33 1450 -50 -6.0

53 6 45966.67 833.33 1500 50 6.0

54 5 46966.67 1000.00 1550 50 5.0

55 0 47616.67 650.00 1550 0 0.0

56 6 48450.00 833.33 1600 50 6.0

57 5 49450.00 1000.00 1650 50 5.0

58 4 50700.00 1250.00 1700 50 4.0

59 4 51950.00 1250.00 1750 50 4.0

60 0 52600.00 650.00 1750 0 0.0

61 6 53433.33 833.33 1800 50 6.0

62 6 54266.67 833.33 1850 50 6.0

63 5 55266.67 1000.00 1900 50 5.0

64 0 55916.67 650.00 1900 0 0.0

65 6 56750.00 833.33 1950 50 6.0

66 6 57583.33 833.33 2000 50 6.0

67 6 58416.67 833.33 1950 -50 -6.0

68 0 59066.67 650.00 1950 0 0.0

69 6 59900.00 833.33 2000 50 6.0

70 6 60733.33 833.33 2050 50 6.0

71 6 61566.67 833.33 2100 50 6.0

72 0 62216.67 650.00 2100 0 0.0

73 5 63216.67 1000.00 2150 50 5.0

Page 21: Caminos Metodo Bruce

74 6 64050.00 833.33 2200 50 6.0

75 6 64883.33 833.33 2250 50 6.0

76 0 65533.33 650.00 2250 0 0.0

77 6 66366.67 833.33 2300 50 6.0

78 6 67200.00 833.33 2350 50 6.0

79 5 68200.00 1000.00 2400 50 5.0

80 0 68525.10 325.10 2350 -50 0.0

81 5 69525.10 1000.00 2400 50 5.0

82 4 70775.10 1250.00 2450 50 4.0

83 5 71775.10 1000.00 2500 50 5.0

84 6 72608.43 833.33 2550 50 6.0

85 6 73441.77 833.33 2600 50 6.0

86 0 74091.77 650.00 2600 0 0.0

87 4 75341.77 1250.00 2650 50 4.0

88 5 76341.77 1000.00 2700 50 5.0

89 6 77175.10 833.33 2750 50 6.0

90 6 78008.43 833.33 2800 50 6.0

91 0 78658.43 650.00 2800 0 0.0

92 6 79491.77 833.33 2850 50 6.0

93 5 80491.77 1000.00 2900 50 5.0

94 6 81325.10 833.33 2950 50 6.0

95 0 81975.10 650.00 2950 0 0.0

96 4 83225.10 1250.00 2900 -50 -4.0

97 4 84475.10 1250.00 2850 -50 -4.0

98 5 85475.10 1000.00 2800 -50 -5.0

99 5 86475.10 1000.00 2850 50 5.0

100 6 87308.43 833.33 2900 50 6.0

101 0 87958.43 650.00 2900 0 0.0

102 6 88791.77 833.33 2950 50 6.0

103 5 89791.77 1000.00 3000 50 5.0

104 2 92291.77 2500.00 3050 50 2.0

105 6 93125.10 833.33 3100 50 6.0

106 6 93958.43 833.33 3150 50 6.0

107 6 94791.77 833.33 3200 50 6.0

108 0 95441.77 650.00 3200 0 0.0

109 6 96275.10 833.33 3250 50 6.0

110 6 97108.43 833.33 3300 50 6.0

111 6 97941.77 833.33 3350 50 6.0

112 0 98591.77 650.00 3350 0 0.0

113 6 99425.10 833.33 3400 50 6.0

Page 22: Caminos Metodo Bruce

114 6 100258.43 833.33 3450 50 6.0

115 4 101508.43 1250.00 3400 -50 -4.0

116 4 102758.43 1250.00 3350 -50 -4.0

117 5 103758.43 1000.00 3300 -50 -5.0

118 6 104591.77 833.33 3350 50 6.0

119 6 105425.10 833.33 3400 50 6.0

120 0 106075.10 650.00 3400 0 0.0

121 6 106908.43 833.33 3350 -50 -6.0

122 6 107741.77 833.33 3300 -50 -6.0

123 6 108575.10 833.33 3250 -50 -6.0

124 0 109225.10 650.00 3250 0 0.0

125 6 110058.43 833.33 3200 -50 -6.0

126 5 111058.43 1000.00 3150 -50 -5.0

127 6 111891.77 833.33 3100 -50 -6.0

128 0 112541.77 650.00 3100 0 0.0

129 6 113375.10 833.33 3050 -50 -6.0

130 6 114208.43 833.33 3000 -50 -6.0

131 6 115041.77 833.33 2950 -50 -6.0

132 0 115691.77 650.00 2950 0 0.0

133 6 116525.10 833.33 2900 -50 -6.0

134 5 117525.10 1000.00 2850 -50 -5.0

135 5 118525.10 1000.00 2800 -50 -5.0

136 0 119175.10 650.00 2800 0 0.0

137 0 119825.30 650.20 2750 -50 0.0

138 5 120825.30 1000.00 2800 50 5.0

139 6 121658.63 833.33 2850 50 6.0

140 4 122908.63 1250.00 2900 50 4.0

141 6 123741.97 833.33 2950 50 6.0

142 6 124575.30 833.33 3000 50 6.0

143 6 125408.63 833.33 3050 50 6.0

144 0 126058.63 650.00 3050 0 0.0

145 5 127058.63 1000.00 3000 -50 -5.0

146 5 128058.63 1000.00 2950 -50 -5.0

147 5 129058.63 1000.00 2900 -50 -5.0

148 0 129708.63 650.00 2900 0 0.0

149 6 130541.97 833.33 2850 -50 -6.0

150 5 131541.97 1000.00 2800 -50 -5.0

151 5 132541.97 1000.00 2750 -50 -5.0

152 0 133191.97 650.00 2750 0 0.0

153 6 134025.30 833.33 2700 -50 -6.0

Page 23: Caminos Metodo Bruce

154 4 135275.30 1250.00 2650 -50 -4.0

155 4 136525.30 1250.00 2600 -50 -4.0

156 6 137358.63 833.33 2650 50 6.0

157 6 138191.97 833.33 2700 50 6.0

158 6 139025.30 833.33 2750 50 6.0

159 0 139675.30 650.00 2750 0 0.0

160 6 140508.63 833.33 2800 50 6.0

161 6 141341.97 833.33 2750 -50 -6.0

162 6 142175.30 833.33 2700 -50 -6.0

163 0 142825.30 650.00 2700 0 0.0

164 5 143825.30 1000.00 2650 -50 -5.0

165 6 144658.63 833.33 2600 -50 -6.0

166 3 146325.30 1666.67 2550 -50 -3.0

167 5 147325.30 1000.00 2500 -50 -5.0

168 3 148991.97 1666.67 2450 -50 -3.0

B 4 150162.32 1170.35 2500 50 4.0

150162.32

COTA MAXIMA 3450msnm

COTA MINIMA 1300msnm

PENDIENTE MEDIA 4.40%

LONG. RESISTENTE K 381+162

Page 24: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

Dist. entre curvas (m) 50Escala 1/ 65000

CONTRAPENDIENTE

IDA REGRESO

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

0

50

50

50

50

50

Page 25: Caminos Metodo Bruce

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

Page 26: Caminos Metodo Bruce

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

Page 27: Caminos Metodo Bruce

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

50

-50

50

50

50

50

50

50

50

50

50

50

50

50

50

Page 28: Caminos Metodo Bruce

50

50

50

50

50

50

50

50

50

50

50

50

50

50

3300.00 3300.00

Page 29: Caminos Metodo Bruce

10000

Page 30: Caminos Metodo Bruce
Page 31: Caminos Metodo Bruce
Page 32: Caminos Metodo Bruce
Page 33: Caminos Metodo Bruce
Page 34: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

K = 35

PUNTOS % ABSCISA (m) ΔX COTAS (m) ΔY

A 0 - 2650 -

1 6 833.33 833.33 2600 -50

2 5 1833.33 1000.00 2550 -50

3 5 2833.33 1000.00 2500 -50

4 0 3333.33 500.00 2500 0

5 6 4166.67 833.33 2450 -50

6 6 5000.00 833.33 2400 -50

7 6 5833.33 833.33 2350 -50

8 0 6333.33 500.00 2350 0

9 5 7333.33 1000.00 2400 50

10 0 7833.33 500.00 2400 0

11 6 8666.67 833.33 2450 50

12 0 9166.67 500.00 2450 0

13 6 10000.00 833.33 2500 50

14 0 10500.00 500.00 2500 0

15 5 11500.00 1000.00 2450 -50

16 6 12333.33 833.33 2400 -50

17 0 12833.33 500.00 2400 0

18 6 13666.67 833.33 2350 -50

19 6 14500.00 833.33 2300 -50

20 0 15000.00 500.00 2300 0

21 6 15833.33 833.33 2250 -50

22 6 16666.67 833.33 2200 -50

23 6 17500.00 833.33 2150 -50

24 0 18000.00 500.00 2150 0

25 6 18833.33 833.33 2100 -50

26 6 19666.67 833.33 2050 -50

27 6 20500.00 833.33 2000 -50

28 0 21000.00 500.00 2000 0

29 6 21833.33 833.33 1950 -50

30 6 22666.67 833.33 2000 50

31 6 23500.00 833.33 1950 -50

32 0 24000.00 500.00 1950 0

33 4 25250.00 1250.00 1900 -50

RUTA 3

Page 35: Caminos Metodo Bruce

34 6 26083.33 833.33 1850 -50

35 0 26583.33 500.00 1850 0

36 6 27416.67 833.33 1900 50

37 4 28666.67 1250.00 1850 -50

38 0 29166.67 500.00 1850 0

39 5 30166.67 1000.00 1800 -50

40 0 30666.67 500.00 1800 0

41 6 31500.00 833.33 1750 -50

42 4 32750.00 1250.00 1700 -50

43 6 33583.33 833.33 1650 -50

44 0 34083.33 500.00 1650 0

45 6 34916.67 833.33 1600 -50

46 6 35750.00 833.33 1550 -50

47 0 36250.00 500.00 1550 0

48 6 37083.33 833.33 1500 -50

49 6 37916.67 833.33 1450 -50

50 0 38416.67 500.00 1450 0

51 6 39250.00 833.33 1400 -50

52 0 39750.00 500.00 1400 0

53 5 40750.00 1000.00 1350 -50

54 0 41250.00 500.00 1350 0

55 6 42083.33 833.33 1400 50

56 6 42916.67 833.33 1350 -50

57 0 43416.67 500.00 1350 0

58 6 44250.00 833.33 1400 50

59 4 45500.00 1250.00 1450 50

60 6 46333.33 833.33 1400 -50

61 0 46833.33 500.00 1400 0

62 6 47666.67 833.33 1350 -50

63 6 48500.00 833.33 1300 -50

64 4 49750.00 1250.00 1250 -50

65 0 50250.00 500.00 1250 0

66 4 51500.00 1250.00 1300 50

67 0 52000.00 500.00 1300 0

68 6 52833.33 833.33 1350 50

69 6 53666.67 833.33 1300 -50

70 6 54500.00 833.33 1250 -50

71 0 55000.00 500.00 1250 0

72 6 55833.33 833.33 1300 50

73 0 56333.33 500.00 1300 0

Page 36: Caminos Metodo Bruce

74 6 57166.67 833.33 1350 50

75 0 57666.67 500.00 1350 0

76 5 58666.67 1000.00 1400 50

77 6 59500.00 833.33 1450 50

78 6 60333.33 833.33 1500 50

79 0 60833.33 500.00 1500 0

80 6 61666.67 833.33 1550 50

81 0 62166.67 500.00 1550 0

82 3 63833.33 1666.67 1600 50

83 0 64333.33 500.00 1600 0

84 6 65166.67 833.33 1650 50

85 6 66000.00 833.33 1700 50

86 0 66500.00 500.00 1700 0

87 6 67333.33 833.33 1750 50

88 6 68166.67 833.33 1800 50

89 0 68666.67 500.00 1800 0

90 6 69500.00 833.33 1850 50

91 6 70333.33 833.33 1900 50

92 0 70833.33 500.00 1900 0

93 6 71666.67 833.33 1950 50

94 6 72500.00 833.33 2000 50

95 0 73000.00 500.00 2000 0

96 6 73833.33 833.33 2050 50

97 6 74666.67 833.33 2100 50

98 0 75166.67 500.00 2100 0

99 6 76000.00 833.33 2150 50

100 6 76833.33 833.33 2200 50

101 6 77666.67 833.33 2250 50

102 0 78166.67 500.00 2250 0

103 6 79000.00 833.33 2200 -50

104 6 79833.33 833.33 2250 50

105 6 80666.67 833.33 2200 -50

106 0 81166.67 500.00 2200 0

107 6 82000.00 833.33 2150 -50

108 4 83250.00 1250.00 2100 -50

109 0 83750.00 500.00 2100 0

110 5 84750.00 1000.00 2150 50

111 0 85250.00 500.00 2150 0

112 6 86083.33 833.33 2200 50

113 5 87083.33 1000.00 2150 -50

Page 37: Caminos Metodo Bruce

114 6 87916.67 833.33 2200 50

115 0 88416.67 500.00 2200 0

116 6 89250.00 833.33 2250 50

117 0 89750.00 500.00 2250 0

118 6 90583.33 833.33 2300 50

119 6 91416.67 833.33 2350 50

120 0 91916.67 500.00 2350 0

121 6 92750.00 833.33 2300 -50

122 0 93250.00 500.00 2300 0

123 6 94083.33 833.33 2250 -50

124 0 94583.33 500.00 2250 0

125 6 95416.67 833.33 2300 50

126 6 96250.00 833.33 2250 -50

127 0 96750.00 500.00 2250 0

128 5 97750.00 1000.00 2200 -50

129 0 98250.00 500.00 2200 0

130 6 99083.33 833.33 2250 50

131 0 99583.33 500.00 2250 0

132 6 100416.67 833.33 2300 50

133 0 100916.67 500.00 2300 0

134 5 101916.67 1000.00 2350 50

135 0 102416.67 500.00 2350 0

136 6 103250.00 833.33 2400 50

137 0 103750.00 500.00 2400 0

138 6 104583.33 833.33 2350 -50

139 0 105083.33 500.00 2350 0

140 6 105916.67 833.33 2300 -50

141 0 106416.67 500.00 2300 0

142 5 107416.67 1000.00 2250 -50

143 0 107916.67 500.00 2250 0

144 6 108750.00 833.33 2300 50

145 6 109583.33 833.33 2350 50

146 0 110083.33 500.00 2350 0

147 6 110916.67 833.33 2400 50

148 6 111750.00 833.33 2350 -50

149 6 112583.33 833.33 2300 -50

150 0 113083.33 500.00 2300 0

151 6 113916.67 833.33 2250 -50

152 0 114416.67 500.00 2250 0

153 6 115250.00 833.33 2200 -50

Page 38: Caminos Metodo Bruce

154 6 116083.33 833.33 2150 -50

155 6 116916.67 833.33 2200 50

156 0 117416.67 500.00 2200 0

157 6 118250.00 833.33 2150 -50

158 0 118750.00 500.00 2150 0

159 6 119583.33 833.33 2200 50

160 0 120083.33 500.00 2200 0

161 6 120916.67 833.33 2250 50

162 6 121750.00 833.33 2300 50

163 0 122250.00 500.00 2300 0

164 6 123083.33 833.33 2350 50

165 0 123583.33 500.00 2350 0

166 6 124416.67 833.33 2400 50

167 0 124916.67 500.00 2400 0

168 6 125750.00 833.33 2450 50

169 6 126583.33 833.33 2400 -50

170 0 127083.33 500.00 2400 0

171 5 128083.33 1000.00 2350 -50

172 6 128916.67 833.33 2300 -50

173 0 129416.67 500.00 2300 0

174 6 130250.00 833.33 2250 -50

175 6 131083.33 833.33 2200 -50

176 0 131583.33 500.00 2200 0

177 6 132416.67 833.33 2250 50

178 5 133416.67 1000.00 2200 -50

179 6 134250.00 833.33 2150 -50

180 0 134750.00 500.00 2150 0

181 5 135750.00 1000.00 2100 -50

182 0 136250.00 500.00 2100 0

183 6 137083.33 833.33 2050 -50

184 6 137916.67 833.33 2000 -50

185 0 138416.67 500.00 2000 0

186 6 139250.00 833.33 2050 50

187 0 139750.00 500.00 2050 0

188 6 140583.33 833.33 2000 -50

189 0 141083.33 500.00 2000 0

190 6 141916.67 833.33 1950 -50

191 6 142750.00 833.33 1900 -50

192 0 143250.00 500.00 1900 0

193 6 144083.33 833.33 1850 -50

Page 39: Caminos Metodo Bruce

194 6 144916.67 833.33 1900 50

195 0 145416.67 500.00 1900 0

196 6 146250.00 833.33 1850 -50

197 0 146750.00 500.00 1850 0

198 6 147583.33 833.33 1800 -50

199 0 148083.33 500.00 1800 0

200 6 148916.67 833.33 1850 50

201 6 149750.00 833.33 1900 50

202 6 150583.33 833.33 1950 50

203 0 151083.33 500.00 1950 0

204 6 151916.67 833.33 1900 -50

205 6 152750.00 833.33 1850 -50

206 0 153250.00 500.00 1850 0

207 6 154083.33 833.33 1900 50

208 0 154583.33 500.00 1900 0

209 6 155416.67 833.33 1950 50

210 0 155916.67 500.00 1950 0

211 6 156750.00 833.33 2000 50

212 0 157250.00 500.00 2000 0

213 6 158083.33 833.33 2050 50

214 0 158583.33 500.00 2050 0

215 6 159416.67 833.33 2100 50

216 6 160250.00 833.33 2050 -50

217 0 160750.00 500.00 2050 0

218 6 161583.33 833.33 2100 50

219 0 162083.33 500.00 2100 0

220 6 162916.67 833.33 2150 50

221 5 163916.67 1000.00 2200 50

222 0 164416.67 500.00 2200 0

223 5 165416.67 1000.00 2150 -50

224 0 165916.67 500.00 2150 0

225 4 167166.67 1250.00 2200 50

226 0 167666.67 500.00 2200 0

227 6 168500.00 833.33 2250 50

228 6 169333.33 833.33 2300 50

229 0 169833.33 500.00 2300 0

230 6 170666.67 833.33 2350 50

231 0 171166.67 500.00 2350 0

232 6 172000.00 833.33 2400 50

233 0 172500.00 500.00 2400 0

Page 40: Caminos Metodo Bruce

234 6 173333.33 833.33 2350 -50

235 0 173833.33 500.00 2350 0

236 6 174666.67 833.33 2400 50

237 0 175166.67 500.00 2400 0

238 5 176166.67 1000.00 2350 -50

239 6 177000.00 833.33 2300 -50

240 0 177500.00 500.00 2300 0

241 6 178333.33 833.33 2250 -50

242 0 178833.33 500.00 2250 0

243 6 179666.67 833.33 2200 -50

244 0 180166.67 500.00 2200 0

245 6 181000.00 833.33 2250 50

246 6 181833.33 833.33 2200 -50

247 0 182333.33 500.00 2200 0

248 6 183166.67 833.33 2250 50

249 6 184000.00 833.33 2200 -50

250 0 184500.00 500.00 2200 0

251 6 185333.33 833.33 2150 -50

252 0 185833.33 500.00 2150 0

253 6 186666.67 833.33 2100 -50

254 5 187666.67 1000.00 2050 -50

255 0 188166.67 500.00 2050 0

256 6 189000.00 833.33 2000 -50

257 0 189500.00 500.00 2000 0

258 6 190333.33 833.33 1950 -50

259 0 190833.33 500.00 1950 0

260 5 191833.33 1000.00 1900 -50

261 0 192333.33 500.00 1900 0

262 6 193166.67 833.33 1850 -50

263 5 194166.67 1000.00 1800 -50

264 0 194666.67 500.00 1800 0

265 5 195666.67 1000.00 1850 50

266 0 196166.67 500.00 1850 0

267 6 197000.00 833.33 1800 -50

268 6 197833.33 833.33 1750 -50

269 0 198333.33 500.00 1750 0

270 6 199166.67 833.33 1700 -50

271 0 199666.67 500.00 1700 0

272 6 200500.00 833.33 1750 50

273 0 201000.00 500.00 1750 0

Page 41: Caminos Metodo Bruce

274 6 201833.33 833.33 1800 50

275 6 202666.67 833.33 1850 50

276 0 203166.67 500.00 1850 0

277 6 204000.00 833.33 1800 -50

278 0 204500.00 500.00 1800 0

279 6 205333.33 833.33 1850 50

280 5 206333.33 1000.00 1800 -50

281 0 206833.33 500.00 1800 0

282 6 207666.67 833.33 1750 -50

283 0 208166.67 500.00 1750 0

284 6 209000.00 833.33 1700 -50

285 6 209833.33 833.33 1750 50

286 0 210333.33 500.00 1750 0

287 6 211166.67 833.33 1700 -50

288 0 211666.67 500.00 1700 0

289 6 212500.00 833.33 1650 -50

290 0 213000.00 500.00 1650 0

291 6 213833.33 833.33 1600 -50

292 6 214666.67 833.33 1550 -50

293 6 215500.00 833.33 1600 50

294 0 216000.00 500.00 1600 0

295 6 216833.33 833.33 1650 50

296 0 217333.33 500.00 1650 0

297 6 218166.67 833.33 1600 -50

298 0 218666.67 500.00 1600 0

299 6 219500.00 833.33 1550 -50

300 0 220000.00 500.00 1550 0

301 6 220833.33 833.33 1600 50

302 6 221666.67 833.33 1650 50

303 0 222166.67 500.00 1650 0

304 6 223000.00 833.33 1700 50

305 0 223500.00 500.00 1700 0

306 6 224333.33 833.33 1750 50

307 6 225166.67 833.33 1800 50

308 0 225666.67 500.00 1800 0

309 6 226500.00 833.33 1850 50

310 0 227000.00 500.00 1850 0

311 6 227833.33 833.33 1900 50

312 0 228333.33 500.00 1900 0

313 6 229166.67 833.33 1950 50

Page 42: Caminos Metodo Bruce

314 6 230000.00 833.33 2000 50

315 0 230500.00 500.00 2000 0

316 6 231333.33 833.33 2050 50

317 6 232166.67 833.33 2100 50

318 0 232666.67 500.00 2100 0

319 5 233666.67 1000.00 2150 50

320 0 234166.67 500.00 2150 0

321 5 235166.67 1000.00 2200 50

322 5 236166.67 1000.00 2250 50

323 0 236666.67 500.00 2250 0

324 6 237500.00 833.33 2300 50

325 0 238000.00 500.00 2300 0

326 6 238833.33 833.33 2350 50

327 0 239333.33 500.00 2350 0

328 6 240166.67 833.33 2400 50

329 6 241000.00 833.33 2350 -50

330 0 241500.00 500.00 2350 0

331 6 242333.33 833.33 2400 50

332 0 242833.33 500.00 2400 0

B 6 243666.67 833.33 2450 50

243666.67

COTA MAXIMA 2650msnm

COTA MINIMA 1250msnm

PENDIENTE MEDIA 4.23%

LONG. RESISTENTE K 604+167

Page 43: Caminos Metodo Bruce

EVALUACION DE TRAZADO DE RUTAS POR EL “METODO DE BRUCE”

Dist. entre curvas (m) 50Escala 1/ 65000

PENDIENTE CONTRAPENDIENTE

- IDA REGRESO

-6.0 50

-5.0 50

-5.0 50

0.0 0

-6.0 50

-6.0 50

-6.0 50

0 0

5 50

0 0

6 50

0 0

6 50

0 0

-5 50

-6 50

0 0

-6 50

-6 50

0 0

-6 50

-6 50

-6 50

0 0

-6 50

-6 50

-6 50

0 0

-6 50

6 50

-6 50

0 0

-4 50

RUTA 3

Page 44: Caminos Metodo Bruce

-6 50

0 0

6 50

-4 50

0 0

-5 50

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Page 45: Caminos Metodo Bruce

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Page 46: Caminos Metodo Bruce

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0 0

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Page 47: Caminos Metodo Bruce

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Page 48: Caminos Metodo Bruce

6 50

0 0

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0 0

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0 0

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0 0

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0 0

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0 0

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0 0

Page 49: Caminos Metodo Bruce

-6 50

0 0

6 50

0 0

-5 50

-6 50

0 0

-6 50

0 0

-6 50

0 0

6 50

-6 50

0 0

6 50

-6 50

0 0

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0 0

-6 50

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0 0

-6 50

0 0

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0 0

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0 0

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0 0

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Page 50: Caminos Metodo Bruce

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6 50

0 0

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0 0

6 50

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0 0

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0 0

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6 50

0 0

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0 0

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0 0

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6 50

0 0

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0 0

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Page 51: Caminos Metodo Bruce

6 50

0 0

6 50

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0 0

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0 0

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5050.00 5250.00

Page 52: Caminos Metodo Bruce

MEJOR RUTA

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Page 53: Caminos Metodo Bruce

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Page 54: Caminos Metodo Bruce

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Page 55: Caminos Metodo Bruce

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Page 56: Caminos Metodo Bruce

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Page 57: Caminos Metodo Bruce

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Page 58: Caminos Metodo Bruce

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Page 59: Caminos Metodo Bruce

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Page 60: Caminos Metodo Bruce

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Page 61: Caminos Metodo Bruce

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Page 62: Caminos Metodo Bruce

CUADRO DE SELECCIÓN DE LA MEJOR RUTA

RUTAS

CRITERIO UNIDAD PESORUTA 1

Valor

Longitud (km) KM 246.68

RF KM 100 34.25

RS KM 180 14.08

MS KM 240 198.35

654.43

m

L=10m de 4a 5 UND 100 5

L=50m de 5 a 8 UND 250 7

L=100 >8 cursos UND 500 0

UND

alc.48pulg 1curso UND 4 1

alc.72pulg 2 a 3 cursos UND 6 1

Expropiaciones (Ha) Ha 20 819.808

Suma de Pesos RUTA 1 =

La ruta seleccionada es la ""

XoEl valor mas

alto

Longitud Resistente (Xo)(km)

VALOR TOTAL

Xo5=900Xo4=800Xo3=700Xo2=600Xo1=500

Longitud de Puentes y ponton

Numero de alcantarillas

Page 63: Caminos Metodo Bruce

CUADRO DE SELECCIÓN DE LA MEJOR RUTA

RUTAS

RUTA 1 RUTA 2

Peso Valor Peso

1.67

3425 28.54 2854

2534.4 0.00 0

47604.80 -26.87 -6449.600

523546.67 381.16 228697.39

500 15 1500

1750 4 1000

0 0 0

4 4 16

6 4 24

16396.16 871.004 17420.08

S/. 595,767.03 RUTA 2 = S/. 245,061.87

La ruta seleccionada es la ""

Page 64: Caminos Metodo Bruce

RS4 RS1

714.2 3333.2 7 6.0 1 4

555.6 1250.0 9 4 1 1

1250.0 833.3 4 6 1 1

714.2 2500.0 7 2 1 1

714.2 2000.0 7 5 1 2

1000.0 1666.7 5 3 1 1

1000.0 2500.0 5 2 1 1

1666.7 3 1

1666.7 3 1

1666.7 3 1

525.0

1837.5

13310.8 14083.2

RF1

1250.0 4 1

2499.9 6 3

1250.0 4 1

1000.0 5 1

1666.6 6 2

2000.0 5 2

833.3 6 1

1000.0 5 1

1666.6 6 2

1000.0 5 1

5000.1 3 3

1000.0 5 1

833.3 6 1

1666.7 3 1

1250.0 4 1

1666.7 3 1

2500.0 4 2

833.3 6 1

1000.0 5 1

3333.2 6 4

1000.0 5 1

34249.7

Page 65: Caminos Metodo Bruce

ZA1 ZA2

10000.2 3 6 5000.0 2

5000.0 1 1 6250.0 4

2500.0 4 2 5000.1 3

1000.0 5 1 5000.0 1

1417.5 525.0

577.5

20495.2 21775.1

0 819.808 871.004

0

0

0

0 ZA4

0 3333.4 3

0 2500.0 4

0 3000.0 5

0 833.3 6

0 2856.8 7

0 555.6 9

0 735.0

0 0

0 0

0 13814.1 552.5624

0

0

Page 66: Caminos Metodo Bruce
Page 67: Caminos Metodo Bruce

RF2 RF3

625.0 8 1 1250.0 4

3333.2 6 4 1111.1 9

714.2 7 1 1428.4 7

833.3 6 1 555.6 9

714.2 7 1 625.0 8

1000.0 5 1 1666.6 6

714.2 7 1 555.6 9

833.3 6 1 1250.0 4

1250.0 4 1 1000.0 5

1000.0 5 1 1111.1 9

555.6 9 1 1250.0 4

1000.0 5 1 833.3 6

625.0 8 1 1250.0 4

714.2 7 1 714.2 7

1666.6 6 2 2500.0 4

1666.7 3 1 1000.0 5

1000.0 5 1 5000.0 2

833.3 6 1 1666.7 3

1000.0 5 1 1000.0 5

714.2 7 1 472.5

2000.0 5 2 787.5

2500.0 4 2 0

2000.0 5 2 0

1250.0 4 1 0

28543.0 27027.6

Page 68: Caminos Metodo Bruce

ZA3

2 2500.0 2 1

5 4999.8 6 6

3 2500.0 4 2

1 3333.4 3 2

525.0 5 2

525.0 8 2

525.0 9 1

630.0

525.0

16063.2 642.528

ZA5

2 5000.1 3 3

2 5000.0 4 4

3 2000.0 5 2

1 1428.4 7 2

4 625.0 8 1

1 555.6 9 1

0

0

0

14609.1 584.3624

Page 69: Caminos Metodo Bruce
Page 70: Caminos Metodo Bruce

RF4

1 625.0 8 1

2 3333.2 6 4

2 714.2 7 1

1 833.3 6 1

1 714.2 7 1

2 1000.0 5 1

1 714.2 7 1

1 833.3 6 1

1 1250.0 4 1

2 1000.0 5 1

1 555.6 9 1

1 1000.0 5 1

1 625.0 8 1

1 714.2 7 1

2 1666.6 6 2

1 1666.7 3 1

2 1000.0 5 1

1 833.3 6 1

1 1000.0 5 1

1 714.2 7 1

1 2000.0 5 2

2500.0 4 2

833.3 6 1

714.2 7 1

1000.0 5 1

Page 71: Caminos Metodo Bruce

472.5

28313.0

Page 72: Caminos Metodo Bruce
Page 73: Caminos Metodo Bruce

RF5

1428.4 7 2

3000.0 5 3

1250.0 8 2

4000.0 5 4

3750.0 4 3

833.3 6 1

262.5

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

Page 74: Caminos Metodo Bruce

14524.2

Page 75: Caminos Metodo Bruce