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# Class Note for CE 350 at UA

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Alabama - Tuscaloosa taught by a professor in Fall. Since its upload, it has received 42 views.

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Date Created: 02/06/15
CE 350 Fall 2009 Horizontal Curve Handout Horizontal Curve Calculations T Rotan delta2 L 2opioRdelta360 C ZoRosin delta2 PI is set during the preliminary survey Similar to Figure 76 PC P1 T from the text PTPCL Staking Out a Curve 1 Set up the instrument on the PC back sight on P1 2 Turn an internal de ection angle from the PI toward the radius point and measure rst chord 1 to locate a point on the curve 3 Repeat as needed until locating the PT The total of internal de ection angles delta 2 4 Chord lengths are chosen by the surveyor 5 For any chord length the internal de ection angle delta2o 1L CE 350 Fall 2009 Horizontal Curve Example Data rural arterial delta 20 Lt Pl station 100000 design speed 50 MPH Horizontal Curve Handout Rural arterial so maximum superelevation 008 Side friction 014 Exhibit 327 AASHTO Green Book Calculate min radius Equation 74a Highway Engineering John Wiley Inc R velocity215ef 50215008014 250033 75757 ft Units velocity is mph e and f are in feetfoot the constant converts to compatible units T RTandelta2 75757tan20 2 13358 ft L 2PiR delta360 26444 ft PC PI T 10O000 13358 86642 PT PC L 86642 26444 113086 DeflAngle DeflAngle Sum Station chord ft Degrees Deg Minm DeflAngles PT Sta113086 IIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIIIIII 0 6 quot11070 1 10039 9 9 39 110000 000 quot10900 quot1100 fl9 I 105000 5000 1 90 quot13534 035041 Pl Sta 100000 000 quot10900 quot1351 030001 95000 000 1 90 quot135134 0 09 39 90000 0 quot12099 quot131021 1 16239 PC Sta 86642 sum 26444 100000 US CUSTOMARY W mmmqmwm mwmqmwmumm mmmnwmwn mmwwmm amwmwmmn mwmmmhmmm Rw Rm Rm Rm Rm Rm Rm Rm Rm Rm Rm Rm Rm Rm V 932 1540 2370 3240 4260 5410 6710 8150 9720 11500 12600 14500 16100 17800 V 676 1190 1720 2370 3120 3970 4930 5990 7150 8440 9510 10700 12000 13300 22 605 1070 1550 2130 2800 3570 4440 5400 6450 7620 8600 9660 10800 12000 2 4 546 959 1400 1930 2540 3240 4030 4910 5870 6930 7630 8810 9850 11000 26 496 672 1280 1760 2320 2960 3690 4490 5370 6350 7180 8090 9050 10100 2 B 453 796 1170 1610 2130 2720 3390 4130 4950 5850 6630 7470 8370 9340 3 0 415 730 1070 1480 1930 2510 3130 3820 4580 5420 6140 6930 7780 8700 3 2 382 672 985 1370 1820 2330 2900 3550 4250 5040 5720 6460 7260 8130 314 352 620 911 1270 1690 2170 2700 3300 3970 4700 5350 050 6800 7520 3 6 324 572 845 1180 1570 2020 2520 3090 3710 4400 5010 5680 6400 7180 38 300 530 784 1100 1470 1890 2360 2890 3480 4140 4710 5350 1 6030 6780 40 277 490 729 1030 1370 1770 2220 2720 3270 3890 4450 5050 5710 6420 42 255 453 678 955 1280 1660 2080 2560 3080 3670 4200 4780 5410 6090 235 418 630 893 1200 1560 1960 2410 2910 3470 3980 4540 5140 5800 215 384 585 834 1130 1470 1850 2280 2750 3290 3770 4310 4890 5530 193 349 542 779 1060 1390 1750 2160 2610 3120 3590 4100 4670 5280 172 314 499 727 991 1310 1650 2040 2470 2960 3410 3910 4460 5050 154 284 457 676 929 1230 1560 1930 2350 2820 3250 3740 4260 4840 139 258 420 627 870 1160 1480 1830 2230 2680 3110 3570 4090 4640 126 236 387 582 813 1090 1390 1740 2120 2550 2970 3420 3920 4460 115 216 358 542 761 1030 1320 1650 2010 2430 2840 3280 3760 4290 105 199 332 506 713 965 1250 1560 1920 2320 2710 3150 3620 4140 97 184 308 472 669 909 1180 1480 1820 2210 2600 3020 3480 3990 89 170 287 442 628 857 1110 1400 1730 2110 2490 2910 3360 3850 82 157 267 413 590 808 1050 1330 1650 2010 2380 2790 3240 3720 76 146 248 386 553 761 990 1260 1560 1910 2280 2690 3120 3600 70 135 231 360 518 716 933 1190 1480 1820 2180 2580 3010 3480 64 125 214 336 485 672 878 1120 1400 1720 2070 2470 2900 3370 59 115 198 312 451 628 822 1060 1320 1630 1970 2350 2780 3250 54 105 182 287 417 583 765 900 1230 1530 1850 2230 2650 3120 48 94 164 261 380 533 701 901 1140 1410 1720 2090 2500 2970 38 76 134 214 314 444 587 758 960 1200 1480 1810 2210 2670 Exhibit 327 Minimum Radii for Design Superelevation Rates Design Speeds and em WContinucd 6002 quoted 098 EIO loog uemgu Oil 13W 17003 eomos sumuen amn321uozuoH umuuugw mopueH amno ImuozuoH US CUSTOMARY 7 15mphV120mph1 425mph VJ30mp1IV35mph7 1407mm 45mp1111 250711071 111451116 14 601nphl Vd65mph 11 70mp11 1r 7smpn 139128Um9h Numberal Lanes Ramed N515 11151 1 1m 7018190 1s1yp1cal 157 0 21ane 711 hway 2 18095 7518128 15 lyp1081 1ora 41ane hiahway 21 1555 E10110 331 Z 1 2 1 2 I 2 I 2 1 2 1 2 AmUvamDN I Z 1 2 1 2 1 2 1 1 2 L411 31111 L111 L111 1111 L111 L 111 L 111 L 111 L111 111 L 1111 L111 L710 11 L 11 L 1111 L 11 I n L 1111 L 10 L 111 L 111 L11 L 110 L111 L 11 L111 0 0 0 0 o 0 0 0 0 a 11 0 0 0 0 o 0 11 31 45 32 49 34 51 36 55 39 58 41 52 44 67 45 72 51 77 53 80 56 84 60 90 63 95 69 103 34 51 36 54 38 57 40 50 43 64 46 68 49 73 53 79 58 84 59 88 61 92 66 99 59 104 75 113 37 55 39 58 41 52 44 65 46 70 50 74 53 80 58 06 51 92 64 96 67 100 72 108 76 114 82 123 40 50 42 63 45 67 47 71 50 75 54 81 58 87 52 94 50 100 59 104 73 109 75 117 82 123 89 134 43 55 45 68 48 72 51 70 54 81 58 87 52 93 57 101 71 107 75 112 78 117 84 126 88 133 96 144 45 69 49 73 51 77 55 82 58 87 52 93 57 100 72 108 77 115 80 120 84 126 90 135 95 142 103 154 49 74 52 78 55 82 58 87 62 93 66 99 71 107 77 115 82 123 85 128 89 134 95 144 101 152 110 155 52 78 55 83 58 87 62 93 68 99 70 105 76 113 82 122 87 130 91 136 95 142 102 153 107 151 I17 175 55 83 58 88 52 93 65 98 70 105 74 112 80 120 86 130 92 138 96 144 100 151 108 162 114 171 123 185 58 88 62 92 85 98 59 104 74 110 79 118 84 127 91 137 97 116 101 152 106 159 114 171 120 180 130 195 62 92 65 97 69 103 73 109 77 116 83 124 89 133 95 144 102 153 107 160 112 187 120 180 126 189 137 206 65 97 68 102 72 108 75 115 81 122 87 130 93 140 101 151 107 161 112 168 117 176 126 189 133 199 144 216 68 102 71 107 75 113 80 120 05 128 91 137 98 147 105 158 112 160 117 176 123 184 132 198 139 208 151 226 71 105 75 112 79 118 84 125 89 134 85 143 102 153 110 155 117 176 123 184 128 193 138 207 145 218 158 237 74 111 78 117 82 123 87 131 93 139 99 149 107 160 115 173 123 184 128 182 134 201 144 215 152 227 165 247 77 115 81 122 86 129 91 136 97 145 103 155 111 167 120 180 128 191 133 200 140 209 150 225 159 237 171 257 80 120 84 126 89 134 95 142 101 151 108 181 116 173 125 187 133 199 139 108 145 218 155 234 154 245 176 267 83 125 88 131 93 138 98 147 105 157 112 168 120 180 130 194 138 207 144 216 151 226 162 243 171 256 185 278 85 129 91 136 96 144 102 153 108 153 116 174 124 187 134 202 143 214 149 224 155 234 168 252 177 265 192 288 89 134 94 141 99 149 105 158 112 158 120 150 129 193 139 209 148 222 155 232 162 243 174 261 183 275 199 298 92 138 97 146 103 154 109 154 115 174 124 185 133 200 144 215 153 230 160 240 157 251 180 270 189 204 206 309 95 143 101 151 105 159 113 159 120 180 128 192 138 207 149 223 158 237 165 248 173 200 186 279 195 294 213 310 98 148 104 156 110 165 115 175 124 185 132 199 142 213 154 230 163 245 171 256 179 288 192 288 202 303 219 329 102 152 107 161 113 170 120 180 128 192 137 205 147 220 158 238 159 253 178 264 184 276 198 297 208 313 226 339 105 157 110 165 117 175 124 185 132 197 141 211 151 227 163 245 174 260 181 272 190 285 204 306 215 322 233 350 108 162 114 170 120 180 127 191 135 203 145 217 156 233 100 252 179 268 187 280 195 293 210 315 221 332 240 360 111 158 117 175 123 185 131 196 139 209 149 223 150 240 173 259 184 275 192 288 201 301 215 324 227 341 247 370 114 171 120 180 127 190 135 202 143 215 153 230 184 247 178 266 189 283 197 295 207 310 222 333 234 351 254 381 117 175 123 185 130 195 138 207 147 221 157 235 169 253 182 274 194 291 203 304 212 318 228 342 240 360 261 391 120 180 125 190 134 201 142 213 151 225 151 242 173 260 187 281 199 299 208 312 218 327 234 351 246 369 267 401 123 185 130 195 137 206 145 218 155 232 165 240 178 257 192 288 204 306 213 320 223 335 240 360 253 379 274 411 31 mmmmmq vacuummamawmw mmwmmmammmmm cmmowtmmaNammanmmovamDmammawwmm 126 189 133 199 141 211 149 224 159 238 170 254 182 273 197 295 209 314 219 328 229 343 245 359 259 388 281 422 129 194 136 204 144 216 153 229 183 244 174 261 187 280 202 302 214 322 224 336 234 352 252 378 265 398 288 432 132 198 139 209 147 221 166 235 156 250 178 267 191 287 205 310 220 329 229 344 240 360 258 387 272 407 295 442 135 203 143 214 151 225 150 240 170 255 182 273 195 293 211 317 225 337 235 352 246 368 264 396 278 417 302 453 138 208 145 219 154 231 154 245 174 261 186 279 200 300 215 324 230 345 240 360 251 377 270 405 284 426 309 463 142 212 149 224 158 237 167 251 178 267 190 285 204 307 221 331 235 352 245 368 257 385 275 414 291 438 315 473 145 217 152 229 161 242 171 256 182 273 194 292 209 313 225 338 240 360 251 375 282 393 282 423 297 445 322 483 148 222 155 234 165 247 175 282 185 279 199 298 213 320 230 345 245 368 256 384 268 402 288 432 301 455 329 494 151 226 159 235 168 252 178 267 190 285 203 304 218 327 235 353 250 375 261 392 273 410 294 441 309 484 316 504 154 231 162 243 171 257 182 273 194 290 207 310 222 333 240 360 255 383 267 400 279 419 300 450 315 474 343 514 157 235 165 248 175 262 185 278 197 296 211 317 227 340 245 367 250 391 272 408 285 427 306 459 322 483 350 525 160 240 169 751 178 257 189 284 201 302 215 3211 231 347 250 374 255 398 277 415 290 435 312 458 328 493 357 535 163 245 172 258 182 273 193 289 205 308 219 329 236 353 254 382 271 405 283 424 296 444 118 477 335 502 353 545 165 249 175 253 185 270 196 295 209 314 223 335 240 360 259 389 276 414 288 432 301 452 324 485 341 512 370 555 169 254 178 268 189 283 200 300 213 319 228 341 244 367 254 396 281 421 293 440 307 480 380 495 347 521 377 565 172 258 182 272 192 288 204 305 217 325 232 348 249 373 269 403 285 429 299 448 313 469 336 504 354 531 384 576 175 253 185 277 195 293 207 311 221 331 236 354 253 380 274 410 291 437 304 455 318 477 342 513 350 540 391 586 178 268 188 282 199 298 211 316 225 337 240 350 250 387 278 418 295 444 309 464 324 485 348 522 366 549 395 597 182 272 191 287 202 303 215 322 228 343 244 366 262 393 283 425 301 452 315 472 329 494 354 531 373 559 405 607 185 277 195 292 205 309 218 327 232 348 248 372 267 400 288 432 306 460 320 480 335 502 360 540 379 568 4111 617 Exhibit 3 32 Superelevatiun Runoff L ft for Horizontal Curves Continued CE 350 Fall 2009 Superelevation Table Source 2004 AASHTO Green Bookquot Horizontal Curve Handout

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