Knowledge (XXG)

Bicycle and motorcycle geometry

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suddenly off the line of a curve. Also, increasing the weight borne by the front wheel of the vehicle, either by increasing the mass of the vehicle, rider and cargo or by changing the weight ratio to shift the center of mass forward, will increase the severity of the wheel flop effect. Increasing the rotational inertia of the front wheel by increasing the speed of the vehicle and the rotational speed of the wheel will tend to counter the wheel flop effect.
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to apply torque to the handlebars to bring them back to the straight ahead position and bring the front end of the bicycle or motorcycle back up to the original height. The rotational inertia of the front wheel will lessen the severity of the wheel flop effect because it results in opposing torque being required to initiate or accelerate changing the direction of the front wheel.
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According to the equation listed above, increasing the trail and/or decreasing the head angle will increase the wheel flop factor on a bicycle or motorcycle, which will increase the torque required to bring the handlebars back to the straight ahead position and increase the vehicle's tendency to veer
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Because wheel flop involves the lowering of the front end of a bicycle or motorcycle, the force due to gravity will tend to cause handlebar rotation to continue with increasing rotational velocity and without additional rider input on the handlebars. Once the handlebars are turned, the rider needs
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Wheel flop refers to steering behavior in which a bicycle or motorcycle tends to turn more than expected due to the front wheel "flopping" over when the handlebars are rotated. Wheel flop is caused by the lowering of the front end of a bicycle or motorcycle as the handlebars are rotated away from
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Trail can vary as the bike leans or steers. In the case of traditional geometry, trail decreases (and wheelbase increases if measuring distance between ground contact points and not hubs) as the bike leans and steers in the direction of the lean. Trail can also vary as the suspension activates, in
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The offset may be implemented by curving the forks, adding a perpendicular tab at their lower ends, offsetting the fork blade sockets of the fork crown ahead of the steerer, or by mounting the forks into the crown at an angle to the steer tube. The development of forks with curves is attributed to
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Although the scientific understanding of bicycle steering remains incomplete, we do have a good overall understanding of the interdependent dynamic complexities. Mechanical trail is certainly one of the most important variables in determining the handling characteristics of a bicycle. A trail of
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Increasing the length of the fork, for example by switching from rigid to suspension, raises the front of a bicycle and thus decreases its head angle. Lengthening the fork would have the opposite effect on the rake of a motorcycle, since rake is measured in the opposite direction.
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Manufacturer's specifications must include the specific rake and trail for each motorcycle or class of motorcycles and the terms "rake" and "trail" must be defined by the director by rules adopted pursuant to chapter 28–32."
815: 993:= "wheel flop factor," the distance that the center of the front wheel axle is lowered when the handlebars are rotated from the straight ahead position to a position 90 degrees away from straight ahead 71:
distance between the centers (or the ground contact points) of the front and rear wheels. Wheelbase is a function of rear frame length, steering axis angle, and fork offset. It is similar to the term
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magazine states, "A bike with too little wheel flop will be sluggish in its reactions to handlebar inputs. A bike with too much wheel flop will tend to veer off its line at low and moderate speeds."
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Skilled and alert riders may have more path control if the mechanical trail is lower while a higher trail is known to make a bicycle easier to ride "no hands" and thus more subjectively stable.
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Trail is often cited as an important determinant of bicycle handling characteristics, and is sometimes listed in bicycle manufacturers' geometry data. Wilson and Papodopoulos argue that
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if the front wheel ground contact point is behind (towards the rear of the bike) the steering axis intersection with the ground. Most bikes have positive trail, though a few, such as the
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Increasing the offset of a fork reduces the trail, and if performed on an existing fork by bending without lengthening the blades, shortens the fork.
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the distance between the ground contact patch and the steering axis as measured at right angles to that axis. The SAE refer to as 'Mechanical Trail'
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about which the steering mechanism (fork, handlebars, front wheel, etc.) pivots. The steering axis angle usually matches the angle of the
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is the fork offset. Trail can be increased by increasing the wheel size, decreasing or slackening the head angle, or decreasing the
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is the collection of key measurements (lengths and angles) that define a particular bike configuration. Primary among these are
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Trail is a function of steering axis angle, fork offset, and wheel size. Their relationship can be described by this formula:
1406: 702:. The larger the rake angle, the larger the trail. Note that, on a bicycle, as rake angle increases, head angle decreases. 308:
A diagram showing the effect of decreasing the head tube angle, the fork offset, or the wheel size (diameter) on the trail.
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a 2006 Tete de Course, designed for road racing, with a head angle that varies from 71.25° to 74°, depending on frame size.
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The length of a fork is measured parallel to the steer tube from the lower fork crown bearing to the axle center.
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may be a more important and informative variable, although both expressions describe very nearly the same thing.
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a 2007 Filmore, designed for the track, with a head angle that varies from 72.5° to 74° depending on frame size
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A rule of thumb is a 10 mm change in fork length gives a half-degree change in the steering axis angle.
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the influence of the position of the center of pressure of wind forces coming from the side is eliminated
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Animation showing how fork offset must change with changes in steering axis angle to keep trail constant.
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normal trail is the perpendicular distance between the front contact point and the steering head axis
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Rake is the angle, in degrees, that the steering head of the frame...is tilted back from the vertical
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the "straight ahead" position. This lowering phenomenon occurs according to the following equation:
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Animation showing how fork offset must change as trail changes to keep steering axis angle constant.
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the other main geometric parameters are seat height and relative foot peg and handlebar placement.
1935: 573:{\displaystyle {\text{Trail}}_{\text{motorcycle}}={\frac {R_{w}\sin(A_{r})-O_{f}}{\cos(A_{r})}}} 288:, such as trailing link or leading link forks, can implement offset by the length of link arms. 51:, steering axis angle, fork offset, and trail. These parameters have a major influence on how a 2010: 1850: 733:
and the point of contact between the front wheel and the ground. It may also be referred to as
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during braking, the trail and the wheelbase both decrease. At least one motorcycle, the
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The curved front forks of a bicycle are a George Singer patent, and still in use today.
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Illustration of a dimension that is sometimes referred to as caster angle on bicycles.
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of the combined bike and rider. Short bikes are much more suitable for performing
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Forks may be modified or replaced, thereby altering the geometry of the bike.
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GeoMetron Details: 62–63.5° head angle, dependent upon shock and fork length.
1844:"The Dynamic Stability of a Fully Faired Single Track Human Powered Vehicle" 711: 269: 180: 145: 72: 64: 48: 37: 1995: 1408:
The Singer Story: The Cars, Commercial Vehicles, Bicycles & Motorcycles
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For other aspects of geometry, such as ergonomics or intended use, see the
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Collection of key measurements that define a particular bike configuration
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A certain amount of wheel flop is generally considered to be desirable.
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response to braking for example. As telescopic forks compress due to
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distance from where the front wheel touches the ground to where the
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distance from the steering axis to the center of the front wheel.
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At least one manufacturer, Cane Creek, offers an after-market
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is the motorcycle rake angle measured from the vertical, and
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Motorcycle Handling and Chassis Design: The Art and Science
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reveal the steering axis angle, also called the rake angle
1606:(Third ed.). Massachusetts Institute of Technology. 1309:"Suspension and Understanding Motorcycle Rake and Trail" 637:
is the bicycle head angle measured from the horizontal,
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a 2007 Breva V 1100 with a rake of 25°30′ (25.5 degrees)
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Whitt, Frank R.; Jim Papadopoulos (1982). "Chapter 8".
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MAXIMUM: Rake: 45 degrees; Trail: 14 inches positive
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intersects the ground. The measurement is considered
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MINIMUM: Rake: 20 degrees; Trail: 2 inches positive
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Motorcyclists tend to speak of trail in relation to
253:have an offset of 40–50 mm (1.6–2.0 in). 1599: 1566:"An Introduction to Bicycle Geometry and Handling" 1208:"The ultimate guide to bike geometry and handling" 1033: 1009: 985: 959: 888: 809: 683: 656: 629: 602: 572: 465: 1803:"From the archives: The stability of the bicycle" 907:the wheel flop effect (see below) is eliminated 353:and the Python Lowracer, have negative trail. 272:, fork offset can be implemented by either an 221:a 2007 Nevada Classic 750 with a rake of 27.5° 40:, steering axis angle, fork offset, and trail 8: 2011:Motorcycle rake, trail and offset explained 960:{\displaystyle f=b\sin \theta \cos \theta } 1680:(Second ed.). Lulu.com. p. 234. 1826: 1593: 1591: 1480: 1478: 1026: 1002: 978: 928: 880: 864: 845: 832: 827: 824: 801: 785: 766: 753: 748: 745: 675: 669: 648: 642: 621: 615: 594: 588: 558: 537: 521: 502: 495: 486: 481: 478: 451: 430: 414: 395: 388: 379: 374: 371: 730: 342: 136:when measured from horizontal axis. The 82:of a bike, along with the height of the 31: 1801:Jones, David E. H. (1 September 2006). 1199: 78:Wheelbase has a major influence on the 1936:"Fork Re-Raking and Head Angle Change" 1878:Motorcycle Handling and Chassis Design 1339: 1329: 190:that enables changing the head angle. 1881:. Tony Foale Designs. pp. 3–11. 357: 330:Caster angle § Trail or trailing 175:Due to front fork suspension, modern 7: 1968:"CHAPTER 39-27 MOTORCYCLE EQUIPMENT" 1493:from the original on 26 October 2007 1260:"First Ride: Nicolai Mojo GeoMetron" 132:when measured from vertical axis or 1629:"Steering Geometry: What is Trail?" 1540:"Steering Geometry: What is Trail?" 1576:from the original on 30 April 2011 1546:from the original on 30 April 2011 1519:from the original on 20 April 2011 1307:Rider Contributor (30 June 2009). 126:The steering axis angle is called 122:with an unusually large rake angle 25: 1284:Matt Pacocha (23 December 2011). 75:used for automobiles and trains. 1948:from the original on 17 May 2008 1311:. Rider Magazine. Archived from 1258:Paul Aston (28 September 2015). 1152: 1138: 1910:"Bicycle Quarterly -- Glossary" 1168:Bicycle and motorcycle dynamics 900:zero may give some advantages: 45:Bicycle and motorcycle geometry 870: 857: 791: 778: 564: 551: 527: 514: 457: 444: 420: 407: 1: 1434:"Rake & Trail Calculator" 245:, fork offset is also called 1996:Motorcycle Steering Geometry 1286:"Cane Creek AngleSet review" 1733:. Tony Foale. p. 3-1. 1676:Cossalter, Vittore (2006). 1649:Cossalter, Vittore (2006). 1384:"Geometry of Bike Handling" 2049: 1764:Vittore Cossalter (2006). 327: 36:Bike geometry parameters: 1770:. Lulu.com. p. 32. 1914:Bicycle Quarterly Press 1411:. Veloce Publishing Ltd 1405:Kevin Atkinson (2013). 1034:{\displaystyle \theta } 1704:. 2006. Archived from 1485:Rinard, Damon (1996). 1455:Hornsby, Andy (2006). 1360:. 2006. Archived from 1235:. 2006. Archived from 1233:"Lemond Racing Cycles" 1035: 1011: 987: 961: 890: 811: 685: 658: 631: 604: 574: 467: 351:two-mass-skate bicycle 325: 317: 309: 123: 111: 106:Telescopic forks on a 80:longitudinal stability 41: 2016:19 March 2011 at the 1934:Matchak, Tom (2006). 1627:Putnam, Josh (2006). 1036: 1012: 988: 962: 891: 812: 729:distance between the 686: 684:{\displaystyle O_{f}} 659: 657:{\displaystyle A_{r}} 632: 630:{\displaystyle A_{h}} 605: 603:{\displaystyle R_{w}} 575: 468: 323: 315: 307: 194:Motorcycle rake angle 117: 105: 35: 2001:Bicycle Fork Lengths 1875:Foale, Tony (2002). 1842:Watkins, Gregory K. 1081:Changing fork offset 1069:Changing fork length 1025: 1001: 977: 927: 823: 744: 668: 641: 614: 587: 477: 370: 2033:Motorcycle dynamics 1819:2006PhT....59i..51J 1767:Motorcycle Dynamics 1727:Tony Foale (2006). 1678:Motorcycle Dynamics 1364:on 12 December 2006 1315:on 14 December 2013 1183:Hub-center steering 98:Steering axis angle 1708:on 1 December 2006 1342:has generic name ( 1089:Legal requirements 1031: 1007: 983: 957: 886: 807: 681: 654: 627: 600: 570: 463: 326: 318: 310: 188:threadless headset 152:Bicycle head angle 124: 112: 42: 1828:10.1063/1.2364246 1687:978-1-4303-0861-4 1602:Bicycling Science 1055:Bicycle Quarterly 1010:{\displaystyle b} 986:{\displaystyle f} 835: 830: 756: 751: 610:is wheel radius, 568: 489: 484: 461: 382: 377: 16:(Redirected from 2040: 1983: 1982: 1980: 1978: 1972: 1964: 1958: 1957: 1955: 1953: 1947: 1940: 1931: 1925: 1924: 1922: 1920: 1906: 1900: 1899: 1897: 1895: 1872: 1866: 1865: 1863: 1861: 1855: 1849:. 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Calfee Design 1382: 1381: 1377: 1367: 1365: 1356: 1355: 1351: 1338: 1328: 1318: 1316: 1306: 1305: 1301: 1291: 1289: 1283: 1282: 1278: 1265: 1263: 1257: 1256: 1252: 1242: 1240: 1231: 1230: 1226: 1216: 1214: 1206: 1205: 1201: 1196: 1188:Motorcycle fork 1158: 1151: 1144: 1139: 1137: 1134: 1118: 1091: 1083: 1071: 1063: 1023: 1022: 999: 998: 975: 974: 925: 924: 917: 876: 860: 841: 829:MechanicalTrail 826: 821: 820: 797: 781: 762: 750:MechanicalTrail 747: 742: 741: 720: 671: 666: 665: 644: 639: 638: 617: 612: 611: 590: 585: 584: 554: 544: 533: 517: 498: 497: 480: 475: 474: 447: 437: 426: 410: 391: 390: 373: 368: 367: 332: 302: 294: 228: 196: 179:—as opposed to 154: 100: 61: 28: 23: 22: 15: 12: 11: 5: 2046: 2044: 2036: 2035: 2025: 2024: 2021: 2020: 2008: 2003: 1998: 1991: 1990:External links 1988: 1985: 1984: 1959: 1926: 1901: 1887: 1867: 1834: 1793: 1776: 1756: 1739: 1719: 1693: 1686: 1668: 1657:on 10 May 2006 1641: 1619: 1612: 1587: 1570:C.h.u.n.k. 666 1557: 1530: 1504: 1487:"Fork Lengths" 1474: 1447: 1425: 1397: 1375: 1349: 1299: 1276: 1250: 1224: 1198: 1197: 1195: 1192: 1191: 1190: 1185: 1180: 1175: 1170: 1164: 1163: 1149: 1133: 1130: 1117: 1114: 1109: 1108: 1105: 1090: 1087: 1082: 1079: 1070: 1067: 1062: 1059: 1043: 1042: 1030: 1019: 1018: 1006: 995: 994: 982: 968: 967: 956: 953: 950: 947: 944: 941: 938: 935: 932: 916: 913: 909: 908: 905: 897: 896: 883: 879: 875: 872: 867: 863: 859: 856: 853: 848: 844: 840: 818: 804: 800: 796: 793: 788: 784: 780: 777: 774: 769: 765: 761: 719: 716: 678: 674: 651: 647: 624: 620: 597: 593: 581: 580: 566: 561: 557: 553: 550: 547: 540: 536: 532: 529: 524: 520: 516: 513: 510: 505: 501: 494: 459: 454: 450: 446: 443: 440: 433: 429: 425: 422: 417: 413: 409: 406: 403: 398: 394: 387: 301: 298: 293: 290: 249:. Road racing 227: 224: 223: 222: 219: 195: 192: 177:mountain bikes 173: 172: 169: 153: 150: 108:BMW motorcycle 99: 96: 84:center of mass 60: 57: 26: 24: 18:Rake and trail 14: 13: 10: 9: 6: 4: 3: 2: 2045: 2034: 2031: 2030: 2028: 2019: 2015: 2012: 2009: 2007: 2004: 2002: 1999: 1997: 1994: 1993: 1989: 1969: 1963: 1960: 1944: 1937: 1930: 1927: 1915: 1911: 1905: 1902: 1890: 1888:84-933286-1-8 1884: 1880: 1879: 1871: 1868: 1852: 1845: 1838: 1835: 1829: 1824: 1820: 1816: 1812: 1808: 1807:Physics Today 1804: 1797: 1794: 1790: 1779: 1777:9781430308614 1773: 1769: 1768: 1760: 1757: 1753: 1742: 1740:9788493328634 1736: 1732: 1731: 1723: 1720: 1707: 1703: 1697: 1694: 1689: 1683: 1679: 1672: 1669: 1656: 1652: 1645: 1642: 1630: 1623: 1620: 1615: 1613:0-262-73154-1 1609: 1604: 1603: 1594: 1592: 1588: 1575: 1571: 1567: 1561: 1558: 1545: 1541: 1538:Josh Putnam. 1534: 1531: 1518: 1514: 1508: 1505: 1492: 1488: 1481: 1479: 1475: 1462: 1458: 1451: 1448: 1435: 1429: 1426: 1422: 1410: 1409: 1401: 1398: 1385: 1379: 1376: 1363: 1359: 1353: 1350: 1345: 1340:|author= 1333: 1326: 1314: 1310: 1303: 1300: 1287: 1280: 1277: 1273: 1261: 1254: 1251: 1238: 1234: 1228: 1225: 1213: 1209: 1203: 1200: 1193: 1189: 1186: 1184: 1181: 1179: 1178:Bicycle frame 1176: 1174: 1171: 1169: 1166: 1165: 1161: 1155: 1150: 1147: 1136: 1131: 1129: 1127: 1124:article. For 1123: 1122:bicycle frame 1116:Other aspects 1115: 1113: 1106: 1103: 1102: 1101: 1098: 1096: 1093:The state of 1088: 1086: 1080: 1078: 1075: 1068: 1066: 1061:Modifications 1060: 1058: 1056: 1051: 1047: 1028: 1021: 1020: 1004: 997: 996: 980: 973: 972: 971: 954: 951: 948: 945: 942: 939: 936: 933: 930: 923: 922: 921: 914: 912: 906: 903: 902: 901: 881: 877: 873: 865: 861: 854: 851: 846: 842: 838: 819: 802: 798: 794: 786: 782: 775: 772: 767: 763: 759: 740: 739: 738: 736: 732: 731:steering axis 728: 727:perpendicular 724: 717: 715: 713: 709: 708:load transfer 703: 701: 696: 694: 676: 672: 649: 645: 622: 618: 595: 591: 559: 555: 548: 545: 538: 534: 530: 522: 518: 511: 508: 503: 499: 492: 452: 448: 441: 438: 431: 427: 423: 415: 411: 404: 401: 396: 392: 385: 366: 365: 364: 361: 359: 354: 352: 348: 344: 343:steering axis 340: 336: 331: 322: 314: 306: 299: 297: 291: 289: 287: 283: 279: 275: 271: 267: 262: 260: 259:George Singer 254: 252: 251:bicycle forks 248: 244: 239: 237: 236:perpendicular 233: 225: 220: 217: 216: 215: 213: 209: 205: 201: 193: 191: 189: 184: 182: 178: 170: 167: 166: 165: 163: 159: 151: 149: 147: 143: 139: 138:steering axis 135: 131: 130: 121: 118:Example of a 116: 109: 104: 97: 95: 93: 89: 85: 81: 76: 74: 70: 66: 58: 56: 54: 50: 46: 39: 34: 30: 19: 1975:. 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Retrieved 1211: 1202: 1173:Bicycle fork 1119: 1110: 1099: 1095:North Dakota 1092: 1084: 1076: 1072: 1064: 1052: 1048: 1044: 1041:= head angle 969: 918: 910: 898: 735:normal trail 734: 726: 722: 721: 712:MotoCzysz C1 704: 697: 582: 362: 355: 346: 338: 334: 333: 295: 281: 273: 265: 263: 255: 246: 242: 240: 235: 231: 229: 211: 207: 204:caster angle 203: 199: 197: 185: 174: 161: 157: 155: 137: 133: 129:caster angle 127: 125: 77: 68: 62: 53:bike handles 44: 43: 29: 1977:14 December 1712:14 December 1702:"MotoCzysz" 1661:14 December 1651:"THE TRAIL" 1467:12 December 1440:14 December 1436:. RB Racing 1415:14 December 1368:11 December 1319:14 December 1288:. BikeRadar 1266:26 February 1126:motorcycles 693:fork offset 292:Fork length 280:, adding a 278:triple tree 266:motorcycles 232:fork offset 226:Fork offset 200:motorcycles 1783:18 October 1746:18 October 1497:18 October 1262:. PinkBike 1217:7 February 1194:References 915:Wheel flop 834:motorcycle 700:rake angle 488:motorcycle 339:horizontal 328:See also: 270:fork tubes 210:, or just 208:rake angle 181:road bikes 162:head angle 134:head angle 69:horizontal 1919:29 August 1860:23 August 1212:BikeRadar 1029:θ 955:θ 952:⁡ 946:θ 943:⁡ 874:− 855:⁡ 795:− 776:⁡ 549:⁡ 531:− 512:⁡ 442:⁡ 424:− 405:⁡ 247:fork rake 146:head tube 73:wheelbase 65:wheelbase 59:Wheelbase 49:wheelbase 38:wheelbase 2027:Category 2014:Archived 1943:Archived 1634:8 August 1574:Archived 1544:Archived 1517:Archived 1491:Archived 1332:cite web 1292:14 April 1243:8 August 1132:See also 347:positive 243:bicycles 158:bicycles 92:stoppies 88:wheelies 1815:Bibcode 1580:7 April 1550:7 April 1523:7 April 1390:6 April 1017:= trail 970:where: 755:bicycle 725:is the 381:bicycle 337:is the 276:in the 234:is the 140:is the 120:chopper 67:is the 1973:. 2006 1952:30 May 1894:3 June 1885:  1774:  1737:  1684:  1610:  583:where 274:offset 1971:(PDF) 1946:(PDF) 1939:(PDF) 1854:(PDF) 1847:(PDF) 817:, and 483:Trail 376:Trail 335:Trail 300:Trail 1979:2006 1954:2008 1921:2021 1896:2010 1883:ISBN 1862:2006 1785:2013 1772:ISBN 1748:2013 1735:ISBN 1714:2006 1682:ISBN 1663:2006 1636:2006 1608:ISBN 1582:2011 1552:2011 1525:2011 1499:2007 1469:2006 1442:2013 1417:2013 1392:2011 1370:2006 1344:help 1321:2013 1294:2013 1268:2017 1245:2006 1219:2023 473:and 230:The 212:rake 142:axis 90:and 63:The 1823:doi 949:cos 940:sin 852:sin 773:cos 546:cos 509:sin 439:sin 402:cos 264:In 241:In 198:In 156:In 2029:: 1941:. 1912:. 1821:. 1811:59 1809:. 1805:. 1787:. 1750:. 1590:^ 1572:. 1568:. 1542:. 1515:. 1489:. 1477:^ 1419:. 1336:: 1334:}} 1330:{{ 1323:. 1270:. 1210:. 261:. 206:, 148:. 94:. 55:. 1981:. 1956:. 1923:. 1898:. 1864:. 1831:. 1825:: 1817:: 1716:. 1690:. 1665:. 1638:. 1616:. 1584:. 1554:. 1527:. 1501:. 1471:. 1444:. 1394:. 1372:. 1346:) 1296:. 1247:. 1221:. 1005:b 981:f 937:b 934:= 931:f 882:f 878:O 871:) 866:r 862:A 858:( 847:w 843:R 839:= 803:f 799:O 792:) 787:h 783:A 779:( 768:w 764:R 760:= 677:f 673:O 650:r 646:A 623:h 619:A 596:w 592:R 565:) 560:r 556:A 552:( 539:f 535:O 528:) 523:r 519:A 515:( 504:w 500:R 493:= 458:) 453:h 449:A 445:( 432:f 428:O 421:) 416:h 412:A 408:( 397:w 393:R 386:= 20:)

Index

Rake and trail

wheelbase
wheelbase
bike handles
wheelbase
wheelbase
longitudinal stability
center of mass
wheelies
stoppies

BMW motorcycle

chopper
caster angle
axis
head tube
mountain bikes
road bikes
threadless headset
bicycle forks
George Singer
fork tubes
triple tree
motorcycle forks



Caster angle § Trail or trailing

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