Title: AASHTO 01 Chapter III 2nd part
1AASHTO 01Chapter III2nd part
- Instructor Dr. Nedal Ratrout
2Sight Distance on Horizontal Curves
- Stopping Sight DistanceThe sight line is a
chord of the curve, and the stopping sight
distance is measured along the centerline of the
inside lane around the curve. Exhibit 3-57 is a
design chart showing the middle ordinates needed
for clear sight areas that satisfy stopping sight
distance criteria presented in Exhibit 3-1 - Equation 3-40 applies only to circular curves
longer than the sight distance for the pertinent
design speed. - Where sufficient stopping sight distance is not
available .the alternatives are - Increase the offset to the obstruction.
- Increase the radius.
- Reduce the design speed.
3(No Transcript)
4(No Transcript)
5Sight Distance on Horizontal Curves
- Passing sight distance
- the minimum passing sight distance for a
two-lane roads or street is about four times as
great as the minimum stopping sight distance at
the same design speed. Equation(3-40).
6General Controls for Horizontal Alignment
- Alignment should be as directional as practical.
A flowing line that conforms to the natural
contours. - The minimum radius of curvature for that speed
should be avoided wherever practical. - Sharp curves sudden changes should be avoided.
7General Controls for Horizontal Alignment
- For small deflection angles, curves should be
sufficiently long to avoid the appearance of a
kink, the minimum length for horizontal curves on
main highways, Lcmin, should be about three times
the design speed or Lc min3v. On high speed
controlled-access facilities for aesthetic
reasons, Lc des6v 30v. - Abrupt reversals in alignment should be avoided.
- The broken-back or flat-back arrangement of
curves (with a short tangent between two curves
in the same direction) should be avoided .. - To avoid the appearance of inconsistent
distortion, the horizontal alignment should be
coordinated carefully with the profile design.
8Vertical Alignment
- Terrain
- The topography influence the alignment of roads.
- In level terrain, sight distances, are generally
long. - In rolling terrain, natural slopes consistently
rise above and fall below the road offer some
restriction. - In mountainous terrain, longitudinal and
transverse changes in the elevation of the ground
with respect to the roads or street are abrupt,
excavation are frequently needed.
9Vehicle on Grades
- Passenger cars. Can readily negotiate grades as
steep as 4 to 5 percent without an appreciable
loss in speed . - In trucks the effect is more pronounced.
- The effect of rate and length of grade on the
speed of a typical heavy truck is shown in
Exhibits3-59 and 3-60. form Exhibits 3-59 it can
be determined how far a truck, starting its climb
from any speed. - Similarly Recreational vehicles in Exhibit 3-61
10(No Transcript)
11Control Grades for Design
- Maximum grades. of about 5 percent are considered
appropriate for a design speed of 110 km/h
70mph.for a design speed of 50km/h 30mph
generally the range of 7 to 12 percent. Maximum
grade controls are presented in Chapter 5 though
8. - Minimum grades. Flat grades can typically be used
without problem on uncurbed highways where the
cross slope is adequate to drain the pavement
surface laterally. minimum grade is typically 0.5
percent.
12Critical Lengths of Grade for Design
- The term critical length of grade is used to
indicate he maximum length of a designated
upgrade on which a loaded truck can operate
without an unreasonable reduction in speed. - In the past, the general practice has been to use
a reduction in truck speed of 25 km/h below the
average running speed of all traffic to identify
the critical length of grade. - It is recommended that a 15 km/h reduction be
used.
13Critical Lengths of Grade for Design
- The length of any given grade that will cause the
speed of a representative truck (120 kg/kw
entering the grade at 110 km/h to be reduced by
various amounts below the average running speed.
Exhibit 3-63 - Where an upgrade is approached on a momentum
grade, heavy trucks often increase speed on order
to make the climb. increase of about 10 km/h can
be considered for moderate downgrades and a speed
increase of 15 km/h for steeper grades of
moderate length or longer. - The critical of grade in Exhibit 3-63 is derived
as the length of tangent grade. - Some downgrades are long and steep enough that
some heavy vehicles travel at crawl speeds to
avoid loss of control on the grade.
14(No Transcript)
15Climbing Lanes
- Climbing Lanes for Two-lane HighwaysA highway
section with a climbing lane is not considered a
three-lane highway, but a two-lane highway with
an added lane for vehicles moving slowly uphill.
Exhibits 3-65A and 3-65B. Climbing lanes are
designed for each direction independently.
16(No Transcript)
17Vertical Curves
- Vertical curves The gradual changes between
tangent (crest or sag) Ex 3-73. - the major control is he provision of ample sight
distances for the design speed. it is recommended
that all vertical curves should be designed to
provide at least the stopping sight distance
shown in Exhibit 3-1. - For driver comfort, the rate of change of grade
should be kept within tolerable limits. In sag
vertical curves where gravitational and vertical
centripetal forces act in opposite directions - A long curve has a more pleasing appearance than
a short one. - Drainage of curbed roadways on sag vertical
curves profile design (0.35.) - K is useful in determining the horizontal
distance form the vertical point of curvature
(VPC) to the high point of Type I curves or to
the low point of Type III curves. K is also
useful in determining minimum lengths of vertical
curves of various design speed.
18(No Transcript)
19Crest Vertical Curves
- Exhibit 3-74 illustrates the parameters used in
determining the length of parabolic crest. - Design controls-stopping sight distance. The
minimum lengths of vertical curves for different
values of A to provide the minimum stopping sight
distance for each design speed are shown in
Exhibit 3-75. - Exhibit 3-76 shows the computed K values for
lengths of vertical curves corresponding to the
stopping sight distances shown in Exhibit 3-1 for
each design speed. - Most States use a minimum length of vertical
curve in use range form about 30 to 100 m.
Minimum length of vertical curves are expressed
as about 0.6 times the design speed in km/h,
Lmin0.6v. These terminal adjustment show as the
vertical lines at the lower left of Exhibit 3-75.
20(No Transcript)
21(No Transcript)
22(No Transcript)
23Crest Vertical Curves
- Design Controls-Passing Sight DistanceFor the
minimum passing sight distances shown in Exhibit
3-7, the minimum lengths of crest vertical curves
are substantially longer than those for stopping
sight distances. Passing sight distances shown in
Exhibit 3-77 are 7 to 10 times the corresponding
lengths for stopping sight distance.Generally,
it is impractical to design crest vertical curves
to provide for passing sight distance because of
high cost. Passing sight distance on crest
vertical curves may be practical on roads with
unusual combinations of low design speeds and
gently grades or higher design speeds with very
small algebraic differences in grades.
Ordinarily, passing sight distance is provided
only at locations where combinations of alignment
and profile do not need the use of crest vertical
curves.
24(No Transcript)
25Sag Vertical Curves
- at least four different criteria
- Headlight sight distance
- Passenger comfort
- Drainage control
- General appearance
- Headlight sight distance has been used directly
for determining the length of sag vertical
curves. A headlight height of 600 mm and a
1-degree upward is mainly used. - For overall safety on highways, a sag vertical
curve should be long enough that the light beam
distance is nearly the same as the stopping sight
distance. Accordingly, it is appropriate to use
stopping sight distances as the value of S in
Exhibit 3-78.
26(No Transcript)
27Sag Vertical Curves
- The riding comfort on sag vertical curves is
achieved when the centripetal acceleration does
not exceed 0.3m/s. The length of vertical curve
needed to satisfy this comfort factor at the
various design speeds is only about 50 percent of
that needed to satisfy the headlight sight
distance criterion for the normal range of design
conditions. - Drainage affects design of vertical curves . This
criterion corresponds to K of 51 m which is
potted in Exhibit 3-78. the drainage criterion
differs from other criteria in that the length of
sag vertical curve determined for it is maximum
whereas. The length for any other criterion is
minimum.
28Sag Vertical Curves
- For general appearance of sag vertical curves,
rule-of-thumb for minimum curve length of 30A or
, in Exhibit 3-78, K30. Longer curves are
appropriate to improve appearance. - From the preceding discussion, the headlight
sight distance appears to be the most logical
criterion for general use. - Exhibit 3-79 shows the range of computed values
and the rounded Values of K selected as design
controls. The length of sag vertical curves on
the basis of the design speed values of K are
shown by the solid lines in Exhibit 3-78.
29(No Transcript)
30Sight Distance at Under-crossings
- Sight distance on the highway through a grade
separation should be at least as long as the
minimum stopping sight distance and preferably
longer, - the structure fascia may cut the line of sight
and limit the sight distance to provide the
minimum length of sag vertical curve discussed
above at grade separation structures. - The sight distance should not need to be reduced
below the minimum recommended values for stopping
sight distance. - To check the available sight distance at an
under-crossing use ex 3-54 to 3-57 using an eye
height of 2.4 m and object height of 0.6 m
31(No Transcript)
32General Controls for Vertical Alignment
- A smooth grade-line with gradual changes.
- rollercoaster or hidden-dip type of profile
should be avoided. - A broken-back grade-line (two vertical curves
in the same direction separated by a short
section of tangent grade) generally should be
avoided. - Where at-grade intersections occur on roadway
sections with moderate to steep grade, it is
desirable to reduce the grade through the
intersection. - Sag vertical curves should be avoided in cuts
unless adequate drainage can be provided.
33Combinations of Horizontal and Vertical Alignment
- General Design Controls
- Curvature and grades should be in proper balance.
Tangent alignment or flat curvature or long
grades and excessive curvature with flat grades.
A logical design is between those two. - Vertical curvature superimposed on horizontal
curvature, or vice versa, generally results in
amore pleasing facility. - Sharp horizontal curvature should not be
introduced at or near the top of a crest vertical
curve, this condition is undesirable because the
driver may not perceive the horizontal change in
alignment. Suitable designs can also be developed
by using design values will above the appropriate
minimum values for the design speed. - Sharp horizontal curvature should not be
introduced near the bottom of a steep grade
approaching or near the low point of sag vertical
curve. Because the view of the road ahead is
foreshortened..
34Combinations of Horizontal and Vertical Alignment
- On two-lane roads and streets. It is appropriate
to work toward long tangent sections to assure
sufficient passing sight distance in design. - Both horizontal curvature and profile should be
made as flat as practical at intersections where
sight distance along both roads or streets is
important . - On divided highways and streets, variation on
width of median and the use of independent
profiles and horizontal alignments for the
separate one-way roadways are some times
desirable. - In residential areas, the alignment should be
designed to minimize nuisance to the
neighborhood, a depressed facility makes a
highway less visible . Minor horizontal
adjustments increase the buffer zone . - The alignment should be designed to enhance
attractive scenic views of the natural and
manmade environment, such as rivers, rock
formations
35