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Lec 6, ch3, pp72-79: Road Characteristics (Sight Distances)
(Objectives)
Know the definitions of different types of sight distances
Learn by heart the SSD formula Know how to use SSD formula in
various sight distance related problems
Understand the components of passing sight distance
What we going to cover in class…
Roadway characteristics Definition of “sight distance” Stopping sight distance (review) Stopping sight distance vs.
decision sight distance Passing sight distance AASHTO PSD (design) vs. MUTCD
PSD (operation)
Roadway characteristics (affecting the drivers)
Stopping sight distance
Passing sight distance
Vertical alignment
Horizontal alignment Functional
classification
Traffic volume and mix
Topography
Pavement condition
Drainage condition
Design speed
Ch.3
Ch. 16
Sight distance
Sight distance: The length of the roadway a driver can see ahead at any particular time.
The sight distance has to be long enough such hat when a driver is traveling at the highway’s design speed, adequate time is given, after an object is observed in the vehicle’s path, to make the necessary evasive maneuvers without colliding with the object.
Stopping sight distance
Stopping Sight Distance = ut + u2
2g(f ± G)
SSD = Minimum sight distance required for a driver to stop a vehicle after seeing an object in the vehicle’s path without hitting that object.
Distance traveled during the PIEV time
Braking distance
Stopping Sight Distance = ut + u2
2g(α/g ± G)
OR
Decision sight distanceDSD = Distance required for a driver to detect an unexpected or otherwise difficult-to-perceive information source or hazard in a roadway environment that may be visually cluttered, recognize the hazard of its threat potential, select an appropriate speed and path, and initiate and complete the required safety maneuvers safely and efficiently.
Compare Table 3.4 (SSD) and Table 3.5 (DSD) values. DSD is longer than SSD because of the reasons discussed above.
About Problem 3-14
10mph Speed Limit Ahead 4” high, 1” for 40ft
Readability
4*40=160ft
SSD - Readability
SSD = uit + (ui2 – uf
2)/(2g(f + G))
+ because it’s 4% upslope.
70mph 10mph
t=2.5 sec f or α/g = 0.35
With 4” letter = 160 ft
12ft
= arctan(12/160)=4.3 degs
With 8” letter = 320 ft
12ft
= arctan(12/320)=2.2 degs
Barely within the fairly clear vision cone
Inside the clear vision cone
Diversion road
Passing sight distance (AASHTO definition)
PSD = Minimum sight distance required on a two-lane, two-way highway that will permit a driver to complete a passing maneuver without colliding with an opposing vehicle and without cutting off the passed vehicle. It will also allow the driver to successfully abort the passing maneuver if desired.Only single passes are considered.
And usually the case where a passenger car passes a passenger car is assumed.
Five assumptions for PSD The impeder is traveling at a uniform speed. The passer is traveling at the same speed as
the impeder until he decides to pass. On arrival at a passing section, some time
elapses to decide to pass. If the decision is made, the passer accelerates
and the average passing speed is about 10 mph more than that of the impeder (e.g. if traveling at 30 mph, the target passing speed is 40 mph)
A suitable clearance exists between the passer and the opposing vehicle when the pass is completed.
Four distance components of PSD
Distance traveled during PRT & initial acceleration
The passing vehicle is in the left lane
Safety clearance
The opposing vehicle traveled during 2/3 of d2
Four components of PSD (cont)
d3 = empirical value d4 = 2/3 (d2)
Difference in speed
Average speed is used.
Or, simply
d1 = uit + ½*at2
It is the distance traveled with a constant acceleration rate starting at ui, the speed of the impeder.
Speed of the passer
PSD component values: Open page 77.
PSD: AASHTO (for design of new high-standard highways) vs. MUTCD (for the operation of the existing low-standard roads)
PSD: AASHTO VS MUTCD
0
500
1000
1500
2000
2500
3000
30 35 40 45 50 55 60 65
85th percentile speed or passing speed
PS
D i
n f
ee
t
AASHTO MUTCD Power (AASHTO) Power (MUTCD)
From my research with Garber…
My data showed that the drivers use longer passing distance (i.e. longer time) when available sight distance is longer. Most likely, they are more relaxed.