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Stopping Sight Distance - pg 40 of 'Guide for development of bicycle facilities"To provide bicyclists with an opportunity to see and react to the unexpected, a shared use path should be designed with adequate stopping sight distances. The distance required to bring a bicycle to a full controlled stop is a function of the bicyclist’s perception and brake reaction time, the initial speed of the bicycle, the coefficient of friction between the tires and the pavement, and the braking ability of the bicycle. Figure 19 indicates the minimum stopping sight distance for various design speeds and grades based on a total perception and brake reaction time of 2.5 seconds and a coefficient of friction of 0.25 to account for the poor wet weather braking characteristics of many bicycles. For two-way shared use paths, the sight distance in the descending direction, that is, where “G” is negative, will control the design. Table 3 is used to select the minimum length of vertical curve necessary to provide minimum stopping sight distance at various speeds on crest vertical curves. The eye height of the bicyclist is assumed to be 1400mm (4 1/2 feet) and the object height is assumed to be 0 mm (0 inches) to recognize that impediments to bicycle travel exist at pavement level. Table 4 indicates the minimum clearance that should be used for line of sight obstructions for horizontal curves. The lateral clearance is obtained by entering Table 4 with the stopping sight distance from Figure 19 and the proposed horizontal radius of curvature. Bicyclists frequently ride side-by-side on shared use paths, and on narrow paths bicyclists have a tendency to ride near the middle of the path. For these reasons, and because of the higher potential for bicycle crashes, lateral clearances on horizontal curves should be calculated based on the sum of the stopping sight distances for bicyclists traveling in opposite directions around the curve. Where this is not possible or feasible, consideration should be given to widening the path through the curve, installing a yellow center line stripe, installing a “Curve Ahead” warning sign in accordance with the MUTCD 2, or some combination of these alternatives. Design Shared Use Paths 40 guide for the development of bicycle facilitiesDesign Shared Use Paths guide for the development of bicycle facilities 41S = V 254 (f G) V 1.4 2 ± + Where: S = stopping sight distance (m) V = velocity (km/h) f = coefficient of friction (use 0.25) G = grade (m/m) (rise/run)
Figure 19. Metric Units. Minimum Stopping Sight Distance vs. Grades for Various Design Speeds Descend - - - - - - Ascend Design Shared Use Paths 42 guide for the development of bicycle facilitiesDescend - - - - - - Ascend S = V 30 (f G) 3.67V 2 ± + Where: S = stopping sight distance (ft) V = velocity (mph) f = coefficient of friction (use 0.25) G = grade (ft/ft) (rise/run)
Figure 19. English Units. Minimum Stopping Sight Distance vs. Grades for Various Design Speeds. Design Shared Use Paths guide for development of bicycle facilities 43Table 3. Metric Units. Minimum Length of Crest Vertical Curve (L) Based on Stopping Sight Distance A (%) S = Stopping Sight Distance (m) 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 2 10 20 30 40 50 603 7 17 27 37 47 57 67 77 87 97 107 4 10 20 30 40 50 60 70 80 91 103 116 129 143 5 4 14 24 34 44 54 64 75 88 100 114 129 145 161 179 6 3 13 23 33 43 54 65 77 91 105 121 137 155 174 193 214 7 10 20 30 40 51 63 76 90 106 123 141 160 181 203 226 250 8 5 15 25 35 46 58 71 86 103 121 140 161 183 206 231 258 286 9 9 19 29 39 51 65 80 97 116 136 158 181 206 232 260 290 321 10 2 12 22 32 44 57 72 89 108 129 151 175 201 229 258 289 322 357 11 5 15 25 35 48 63 80 98 119 141 166 193 221 251 284 318 355 393 12 7 17 27 39 53 69 87 107 130 154 181 210 241 274 310 347 387 429 13 8 18 29 42 57 74 94 116 140 167 196 228 261 297 335 376 419 464 14 10 20 31 45 61 80 101 125 151 180 211 245 281 320 361 405 451 500 15 1 11 21 33 48 66 86 108 134 162 193 226 263 301 343 387 434 483 536 16 3 13 23 36 51 70 91 116 143 173 206 241 280 321 366 413 463 516 571 17 4 14 24 38 55 74 97 123 152 184 219 257 298 342 389 439 492 548 607 18 4 14 26 40 58 79 103 130 161 194 231 272 315 362 411 464 521 580 643 19 5 15 27 42 61 83 109 137 170 205 244 287 333 382 434 490 550 612 679 20 6 16 29 45 64 88 114 145 179 216 257 302 350 402 457 516 579 645 714 21 7 17 30 47 68 92 120 152 188 227 270 317 368 422 480 542 608 677 750 22 7 18 31 49 71 96 126 159 196 238 283 281 385 442 503 568 636 709 786 23 8 18 33 51 74 101 131 166 205 248 296 347 403 462 526 593 665 741 821 24 8 19 34 54 77 105 137 174 214 259 309 362 420 482 549 619 694 774 857 25 9 20 36 56 80 109 143 181 223 270 321 377 438 502 571 645 723 806 893 when S > L L =2S- 280 A when S < L L = AS2 280 Height of cyclist eye - 1400 mm Height of object - 0 mm Shaded area represents S = L L = Minimum Length of Vertical Curve (m) A = Algebraic Grade Difference (%) S = Stopping Sight Distance (m) Minimum Length of Vertical Curve = 1 m Design Shared Use Paths 44 guide for the development of bicycle facilitiesTable 3. English Units. Minimum Length of Crest Vertical Curve (L) Based on Stopping Sight Distance A S = Stopping Sight Distance (ft) (%) 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 2 30 70 110 150 3 20 60 100 140 180 220 260 300 4 15 55 95 135 175 215 256 300 348 400 5 20 60 100 140 180 222 269 320 376 436 500 6 10 50 90 130 171 216 267 323 384 451 523 600 7 31 71 111 152 199 252 311 376 448 526 610 700 8 8 48 88 128 174 228 288 356 430 512 601 697 800 9 20 60 100 144 196 256 324 400 484 576 676 784 900 10 30 70 111 160 218 284 360 444 538 640 751 871 1000 11 38 78 122 176 240 313 396 489 592 704 826 958 1100 12 5 45 85 133 192 261 341 432 533 645 768 901 1045 1200 13 11 51 92 144 208 283 370 468 578 699 832 976 1132 1300 14 16 56 100 156 224 305 398 504 622 753 896 1052 1220 1400 15 20 60 107 167 240 327 427 540 667 807 960 1127 1307 1500 16 24 64 114 178 256 348 455 576 711 860 1024 1202 1394 1600 17 27 68 121 189 272 370 484 612 756 914 1088 1277 1481 1700 18 30 72 128 200 288 392 512 648 800 968 1152 1352 1568 1800 19 33 76 135 211 304 414 540 684 844 1022 1216 1427 1655 1900 20 35 80 142 222 320 436 569 720 889 1076 1280 1502 1742 2000 21 37 84 149 233 336 457 597 756 933 1129 1344 1577 1829 2100 22 39 88 156 244 352 479 626 792 978 1183 1408 1652 1916 2200 23 41 92 164 256 368 501 654 828 1022 1237 1472 1728 2004 2300 24 3 43 96 171 267 384 523 683 864 1067 1291 1536 1803 2091 2400 25 4 44 100 177 278 400 544 711 900 1111 1344 1600 1878 2178 2500 when S > L L = 2S – 900A when S < L L = AS 2900 Height of cyclist’s eye – 4 1/2 ft Height of object – 0 ft Shaded area represents S = L L = Minimum Length of Vertical Curve (ft) A = Algebraic Grade Difference (%) S = Stopping Sight Distance (ft) Minimum Length of Vertical Curve = 3 ft. Design Shared Use Paths guide for the development of bicycle facilities 45Table 4. Metric Units. Minimum Lateral Clearance (M) for Horizontal Curves For Metric Units: For English Units: S = Stopping Sight Distance (m) S = Stopping Sight Distance (ft) R = Radius of centerline of lane (m) R = Radius of centerline of lane (ft) M = Distance from centerline of lane to obstruction (m) M = Distance from centerline of lane to obstruction (ft) R (m) S = Stopping Sight Distance (m) 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 10 1.2 2.7 4.6 6.8 9.3 15 0.8 1.8 3.2 4.9 6.9 9.1 11 14 20 0.6 1.4 2.4 3.8 5.4 7.2 9.2 11 14 16 19 25 0.5 1.1 2 3.1 4.4 5.9 7.6 9.5 11 14 16 18 21 23 50 0.3 0.6 1 1.6 2.2 3 3.9 5 6.1 7.4 8.7 10 12 13 15 17 19 21 23 75 0.2 0.4 0.7 1 1.5 2 2.7 3.4 4.1 5 5.9 6.9 8 9.2 10 12 13 15 16 100 0.1 0.3 0.5 0.8 1.1 1.5 2 2.5 3.1 3.8 4.5 5.2 6.1 7 7.9 8.9 10 11 12 125 0.1 0.2 0.4 0.6 0.9 1.2 1.6 2 2.5 3 3.6 4.2 4.9 5.6 6.3 7.2 8 8.9 9.9 150 0.2 0.3 0.5 0.7 1 1.3 1.7 2.1 2.5 3 3.5 4.1 4.7 5.3 6 6.7 7.5 8.3 175 0.2 0.3 0.4 0.6 0.9 1.1 1.4 1.8 2.2 2.6 3 3.5 4 4.6 5.1 5.8 6.4 7.1 200 0.1 0.3 0.4 0.6 0.8 1 1.3 1.6 1.9 2.2 2.6 3.1 3.5 4 4.5 5 5.6 6.2 225 0.1 0.2 0.3 0.5 0.7 0.9 1.1 1.4 1.7 2 2.3 2.7 3.1 3.5 4 4.5 5 5.5 250 0.1 0.2 0.3 0.5 0.6 0.8 1 1.2 1.5 1.8 2.1 2.4 2.8 3.2 3.6 4 4.5 5 275 0.1 0.2 0.3 0.4 0.6 0.7 0.9 1.1 1.4 1.6 1.9 2.2 2.6 2.9 3.3 3.7 4.1 4.5 300 0.2 0.3 0.4 0.5 0.7 0.8 1 1.3 1.5 1.8 2 2.3 2.7 3 3.4 3.8 4.2 Path-Roadway Intersections Intersections between paths and roadways are often the most critical issue in shared use path design. Due to the potential conflicts at these junctions, careful design is of paramount importance to the safety of path users and motorists alike. The solutions provided in this chapter should be considered guidelines, not absolutes. Each intersection is unique and will require sound engineering judgment on the part of the designer as to the appropriate solution. There are three basic categories of path-roadway intersections: midblock, adjacent path and complex. The following discussion provides guidance for each of these categories. Each of these intersection types may cross any number of roadway lanes, divided or undivided, with varying speeds and volumes of motor vehicle traffic, and may be uncontrolled, or more typically, sign or signal controlled. Only at-grade crossings are addressed in this section. Design Shared Use Paths 46 guide for the development of bicycle facilitiesR (ft) S = Stopping Sight Distance (ft) 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 25 2.0 7.6 15.950 1.0 3.9 8.7 15.2 23.0 31.9 41.5 75 0.7 2.7 5.9 10.4 16.1 22.8 30.4 38.8 47.8 57.4 67.2 95 0.5 2.1 4.7 8.3 12.9 18.3 24.7 31.8 39.5 48.0 56.9 66.3 75.9 85.8 125 0.4 1.6 3.6 6.3 9.9 14.1 19.1 24.7 31.0 37.9 45.4 53.3 61.7 70.6 79.7 155 0.3 1.3 2.9 5.1 8.0 11.5 15.5 20.2 25.4 31.2 37.4 44.2 51.4 59.1 67.1 175 0.3 1.1 2.6 4.6 7.1 10.2 13.8 18.0 22.6 27.8 33.5 39.6 46.1 53.1 60.5 200 0.3 1.0 2.2 4.0 6.2 8.9 12.1 15.8 19.9 24.5 29.5 34.9 40.8 47.0 53.7 225 0.2 0.9 2.0 3.5 5.5 8.0 10.8 14.1 17.8 21.9 26.4 31.3 36.5 42.2 48.2 250 0.2 0.8 1.8 3.2 5.0 7.2 9.7 12.7 16.0 19.7 23.8 28.3 33.1 38.2 43.7 275 0.2 0.7 1.6 2.9 4.5 6.5 8.9 11.6 14.6 18.0 21.7 25.8 30.2 34.9 39.9 300 0.2 0.7 1.5 2.7 4.2 6.0 8.1 10.6 13.4 16.5 19.9 23.7 27.7 32.1 36.7 350 0.1 0.6 1.3 2.3 3.6 5.1 7.0 9.1 11.5 14.2 17.1 20.4 23.9 27.6 31.7 390 0.1 0.5 1.2 2.1 3.2 4.6 6.3 8.2 10.3 12.8 15.4 18.3 21.5 24.9 28.5 500 0.1 0.4 0.9 1.6 2.5 3.6 4.9 6.4 8.1 10.0 12.1 14.3 16.8 19.5 22.3 565 0.4 0.8 1.4 2.2 3.2 4.3 5.7 7.2 8.8 10.7 12.7 14.9 17.3 19.8 600 0.3 0.8 1.3 2.1 3.0 4.1 5.3 6.7 8.3 10.1 12.0 14.0 16.3 18.7 700 0.3 0.6 1.1 1.8 2.6 3.5 4.6 5.8 7.1 8.6 10.3 12.0 14.0 16.0 800 0.3 0.6 1.0 1.6 2.2 3.1 4.0 5.1 6.2 7.6 9.0 10.5 12.2 14.0 900 0.2 0.5 0.9 1.4 2.0 2.7 3.6 4.5 5.6 6.7 8.0 9.4 10.9 12.5 1000 0.2 0.5 0.8 1.3 1.8 2.4 3.2 4.0 5.0 6.0 7.2 8.4 9.8 11.2 Table 4. English Units. Minimum Lateral Clearance (M) for Horizontal Curves |
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