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[[Image:RTIramp.JPG|thumb|right|300px|RTI ramp]]
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[[Image:RTI.JPG|thumb|right|300px|Modified Jeep ramping an RTI ramp]]
'''Ramp travel index''' or RTI, is a way of measuring a vehicle's ability to flex its suspension, a property also known as axle articulation.  The RTI rating is used mainly in the [[off-roading]] industry to test and describe chassis limits of modified vehicles.
 
The ramps vary between 15 and 30 degrees of angle for the vehicle to ride up.  "Ramping" a vehicle involves putting one front tire on the ramp and driving up slowly until one of the other three tires (usually the rear one on the same side as the tire driving the ramp) begins to leave the ground.  The measurement is only taken when the other three tires are still on the ground.  The distance traveled up the ramp is then measured and is divided by the vehicle's [[wheelbase]] and finally multiplied by 1000 to give a final RTI score.<ref name="offroaders.com">[http://www.offroaders.com/info/tech-corner/rti.htm RTI Ramp - Ramp Travel Index Score - What is it, what does it tell you?<!-- Bot generated title -->]</ref>  Most stock [[SUV]]s have RTI values from 400 to 550;<ref name="offroaders.com"/> vehicles modified for off-road competition have the ability to exceed 1000.<ref>[http://www.erau4x4.com/TheRamp.html The Ramp<!-- Bot generated title -->]</ref>
 
==Significance of RTI and Axle Articulation==
A high RTI or good axle articulation is essential for good off road performance on severe routes.  A vehicle that has good axle articulation can keep all wheels in contact with the ground while traversing obstacles, which ensures that all wheels can deliver their torque to the surface with less risk of losing [[Traction (engineering)|traction]] on any given wheel.  All this can allow a very high level of off-road performance without the need for electronic chassis control systems that can be vulnerable and unreliable under extreme conditions.
 
Over a given obstacle, vehicles with simple [[Four-wheel drive|AWD]] systems and [[chassis]] designs that restrict their RTI—i.e. that have poorer axle articulation—lift a wheel early which is then free to turn spinning away power unless [[differential (mechanical device)|differentials]] are able to be locked.  A vehicle with high RTI tends to make uninterrupted (safer) progress as all wheels remain in contact with the ground during the maneuver.  One chassis concept that often allows comparatively high RTI is the [[live axle]] ([[beam axle]]).  Independent suspensions have tended to have reduced articulation while offering better on-road comfort, and are becoming increasingly popular in road-oriented SUVs.
 
==Calculating RTI==
 
===With a ramp===
The formula for calculating RTI using a ramp as pictured above is
 
<math>r=\frac{d}{b} \times 1000</math>
 
Where ''b'' is the wheelbase of the vehicle, ''d'' is the distance travelled along a (usually 20 degree<ref name="offroaders.com"/>) ramp before any wheels leave the ground and ''r'' is the calculated ramp travel index.
 
===Without a ramp===
[[Image:Rti without a ramp.jpg|thumb|right|250px|"Ramping" a 2003 4Runner without a ramp.]]
[[Image:Ramp travel index diagram.PNG|thumb|right|400px|RTI calculation diagram.]]
It is possible to calculate RTI without a ramp using basic trigonometry, provided a safe method is available to lift one wheel, say, using a forklift. Using the diagram below, if ''h'' is the maximum distance from the bottom of the tire to the ground, then<ref>[http://www.regentsprep.org/Regents/Math/rtritrig/Ltrig.htm Right Triangle Trigonometry<!-- Bot generated title -->]</ref>
 
<math>\sin 20^\circ=\frac{h}{d}</math>
 
Although ''d'' is not an available measurement, we can use the relationship between ''h'' and ''d'' to express ''d'' in terms of ''h'':
 
<math>d=\frac{h}{\sin 20^\circ}</math>
 
Substituting this into the RTI formula produces:
 
<math>r=\frac{h}{b} \times \frac{1000}{\sin 20^\circ}</math>
 
This yields a convenient formula for calculating a 20° RTI value when no ramp is available. If ''b'' is the vehicle's wheelbase and ''h'' is the maximum distance from the ground to the bottom of the wheel without allowing any other wheel to leave the ground, then
 
<math>RTI_{20}=\frac{h}{b} \times 2924</math>
{{Clear}}
 
==See also==
{{Commons|Sport utility vehicle}}
 
*[[Off-road vehicle]]
*[[Four-wheel drive]]
*[[Mini SUV]]
*[[Compact SUV]]
*[[Crossover SUV]]
*[[Luxury SUV]]
 
==References==
{{Reflist}}
 
{{DEFAULTSORT:Ramp Travel Index}}
[[Category:Off-road racing]]

Latest revision as of 13:53, 17 August 2014

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