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Design Speed and Horizontal Alignment. Norman W. Garrick Lecture 4 Part 2 Street and Highway Design. How do we determine the curve radius?. I-95 East Lyme. 1000 ft. B. 2. 1. Blue Ridge Parkway. A. 5000 ft. A. B. New York Thruway. 5000 ft. B. 2. 1. A. Merritt Parkway.
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Design Speed and Horizontal Alignment Norman W. Garrick Lecture 4 Part 2 Street and Highway Design
How do we determine the curve radius? I-95 East Lyme
1000 ft B 2 1 Blue Ridge Parkway A
5000 ft A B New York Thruway
5000 ft B 2 1 A Merritt Parkway
Swede High Speed Tilt Train The first high-speed tilting train, X 2000, was delivered to Swedish State Railways in 1990 on the Stockholm - Gothenburg route. Travel time for this route was reduced by more than 25 percent with only minor upgrading of the infrastructure. The key to increased speeds lie in the radial self-steering bogies whereby track forces are reduced, allowing up to 50 percent higher speed through curves. Microprocessor-controlled, active passenger car tilting technology assures passenger comfort in curves. http://www.bombardier.com/en/transportation/products-services/rail-vehicles/high-speed-trains/x2000---sweden?docID=0901260d80010605#
Cornering ForcesSoft Bogies! Radial-steered bogies on their own allow an increase in operating speeds by 40% or up to 180Km/h (112mph) without increasing rail/wheel forces compared with conventional bogies. This reduces wear on both the rail and wheels - wheel life is increased by up to six times. However, the increase in speeds allowed by these bogies would be uncomfortable to the passengers without tilt. Norman W. Garrick
Cornering ForcesTilting Trains Tilt is used primarily for comfort. An accelerometer is fitted in the first bogie of the train in the direction of travel and measures lateral forces as the train enters a curve. Computer-controlled hydraulic ram tilt each coach into the curve, up to a maximum inclination of 6.5º. The tilting system compensates for up to 75% of the lateral force of a curve. Incidents of 'sea-sickness' or 'tilt nausea’ can occur as 25% of lateral forces are still felt by the passengers. Norman W. Garrick
Cornering Cars http://www.youtube.com/watch?v=F_KN7RlDjBY Does you every day car need to handle like the EXIGE?
mv2/r ma Nf = mg Normal Force http://www.nascar.com/kyn/101/glossary/index.html
Road Superelevation (e) What is largest superelevation rate practical? Depends on Climate, Speed, Vehicle Type Maximum superelevation in practice – 12%
mV2/R Nf = Normal Force Forces in = mV2/R Simplify gives (0.01e+f)/(1-0.01ef) = V2/gR note: f is in fraction, e is in %
What Value of f should be used? Nf Normal Force The road is designed so that the expected value of side friction is much less than the value that would cause sliding. The value of ‘f’ used is equivalent to that which would cause a minimum level of discomfort to the vehicle occupants.
Determining Rmin This equation is used to calculate Rmin (0.01e+f)/(1-0.01ef) = V2/gR f is in fraction, e is in % What value of e and f and V? e – is the rate of superelevation to be used f – is the allowable level of side friction selected to cause a specified level of discomfort to vehicle occupants and to ensure that the operator is not surprised by a very sharp curve V – design speed
R versus Rmin R3 > Rmin R2 > Rmin R4 > Rmin R1 > Rmin I-95 East Lyme
Same Design Speed as I-95, Same Rmin R2 > Rmin R1 > Rmin R4 > Rmin R3 > Rmin New York Thruway