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Module 2:
Highway Geometric
Design
Wael M. ElDessouki, Ph.D.
CONEN 442 Transportation Engineering S2021 ElDessouki
181
Highway Functional
Classification
182
CONEN 442 Transportation Engineering S2021 ElDessouki
The Concept of Functional Classification:
Highways are classified according to its functionality.
Most trips can be divided into six stages:
1- Main Movement
2- Transitions
3- Distribution
4- Collection
5 - Access
6 - Termination
ElDessouki
CONEN 442 Transportation Engineering S2021
183
The Concept of Functional Classification:
In this example each of the six stages is handled by a separate facility
designed specifically for its function, as following:
1- Main Movement
2- Transitions
3- Distribution
4- Collection
5 - Access
6 - Termination
ElDessouki
CONEN 442 Transportation Engineering S2021
184
Freeways / Highways  High Speed
 Limited Access
Arterials & Collectors  Moderate Speed
 Moderate Access
Local Streets &  Low Speed
Neighborhood Streets  High Access
The Concept of Functional Classification:
ElDessouki
CONEN 442 Transportation Engineering S2021
185
Based on the previous example, we can
summarize our observations on the Functional
Classification as following conclusions:
1- Traffic Volume is at its highest at the top of the
classification.
2- At the top of the classification mobility is very
high & access is limited.
3- At the lowest in the classification access is very
high & mobility is very low.
Design Controls &
Criteria
186
CONEN 442 Transportation Engineering S2021 ElDessouki
Design Criteria: Traffic Characteristics :
Projection of future Traffic Demand:
This is a very important component in highway design, because we
design for the future demand not just for current demand. We design for
the life span of the facility:
Facility Life Expectancy
Right of Way (ROW) 100 year
Minor Drainage & Base Courses 50 years
Bridges 25-100 years
Pavement Resurfacing 10 years
Pavement Structure(New) 20-30 years
Pavement (Reconstruction ) 5-10 years
ElDessouki
CONEN 442 Transportation Engineering S2021
187
Design Criteria: Traffic Characteristics :
Speed:
Speed is a key design control for highway geometric design.
Why?
 It defines key design elements in highways such as horizontal
and vertical curves.
 It plays a key role in determining lane capacity and highway
facilities in general.
 Speed is a key factor in functional classification of highway
and consequently affects driver’s selection of the road.
Types of Speed:
Operating Speed:
ElDessouki
CONEN 442 Transportation Engineering S2021
188
Design Criteria: Traffic Characteristics:
Speed:
Types of Speed:
Operating Speed:
Defined as the speed at which drivers are observed operating their
vehicles during free flow condition. The 85th% of observed spot
speed sample can be considered as the Operating Speed.
Design Speed:
Design speed is a selected speed value that is used to determine various
geometric design features of the highway.
The Design Speed must be logical with respect to:
Topography, Anticipated Operating Speed,
 Adjacent land use The functional Classification of the highway
ElDessouki
CONEN 442 Transportation Engineering S2021
189
Design Criteria: Traffic Characteristics :
Speed:
Types of Speed:
Design Speed (cont.):
Design speed should be selected as high as possible
with consideration for:
Desired degree of safety
Mobility
Efficiency
The selected Design Speed Should be consistent with
the speed drivers are likely to expect on a given
facility.
ElDessouki
CONEN 442 Transportation Engineering S2021
190
Design Criteria: Traffic Characteristics :
Speed:
Recommended Ranges for Design Speed:
120 km/h  Rural freeways, expressways & other arterial highways
100 km/h  Suburban freeways & expressways
80 to 110 km/h  Suburban elevated & depressed freeways
50 to 100 Urban arterial streets
ElDessouki
CONEN 442 Transportation Engineering S2021
191
Design Criteria: Highway Capacity
Guidelines for the Selection of Design Level of Service (LOS):
ElDessouki
CONEN 442 Transportation Engineering S2021
192
Functional
Class
Rural
Level
Rural
Rolling
Rural
Mountainous
Urban &
Suburban
Freeway B B C C
Arterial B B C C
Collector C C D D
Local Street D D D D
Highway
Horizontal
Alignment
193
CONEN 442 Transportation Engineering S2021 ElDessouki
Horizontal Alignment:
Horizontal Alignment
Consists of Tangents
(Straight Segments)
connected by
Horizontal Curves
Types of Horizontal Curves:
ElDessouki
CONEN 442 Transportation Engineering S2021
194
Layout of Simple Horizontal Curve:
 
)
2
/
sin(
*
2
)
(
*
)
(
1
)
2
/
cos(
1
)
2
/
cos(
1
)
2
/
tan(


















R
length
cord
L
R
length
curve
L
R
E
R
M
R
T
c
ElDessouki
CONEN 442 Transportation Engineering S2021
195
Layout of Simple Horizontal Curve:
Curve severity is defined by Radius (R) and the Degree of curvature
(D)
ElDessouki
CONEN 442 Transportation Engineering S2021
196
30 m
)
1719


(
in
curvature
of
degree
the
is
D
meters
in
radius
the
is
R
where
R
D
Design of Horizontal Curve:
On horizontal curves, centrifugal force tend to push the vehicle in the
radial direction, the vehicle is maintained by side friction on the
pavement surface and pavement super elevation. Here is the
relationship:
Where ,
V – Speed (m/s) , R- Curve Radius (m), f- Side Friction
e – Super elevation % , g – Gravitational Acceleration(m/s2)
ElDessouki
CONEN 442 Transportation Engineering S2021
197
l
f
e
gR
V

 01
.
0
2
Design of Horizontal Curve:
Maximum Superelevation: (e)
The AASHTO range (4%-12%) , but:
1- From a construction perspective a 12 is difficult and 8% can be seen
as the maximum
2- The typical superelevation is 5%
Side-Friction factor: (fl )
The coefficient of side friction, (fl ) is function of vehicle speed and other
factors.
ElDessouki
CONEN 442 Transportation Engineering S2021
198
Design of Horizontal Curve:
ElDessouki
CONEN 442 Transportation Engineering S2021
199
Design of Horizontal Curve:
Methodology & Considerations for Selecting Side
Friction (fl )
 Horizontal curves should not be designed based on the maximum
available side friction.
 The centrifugal acceleration due to the curve is counteracted by
side friction and Superelevation
 The centrifugal acceleration felt by the driver & passengers is the
portion contributed by the side friction.
 The ball-bank indicator:
see next slide
ElDessouki
CONEN 442 Transportation Engineering S2021
200
Design of Horizontal Curve:
Methodology & Considerations for Selecting Side
Friction (fl )
 The ball-bank indicator (similar to aircrafts):
ElDessouki
CONEN 442 Transportation Engineering S2021
201
Lateral Acceleration = 0.10
This is the portion carried out
by friction
Design of Horizontal Curve:
Design Methodologies: R, e & f
 Method 1: Superelevation (e) & side friction (f )are inversely
proportion to curve radius R in a straight line relationship.
 Method 2: All lateral acc. Is sustained by side friction i.e.
f = fmax , then superelevation is then utilized.
 Method 3: for road-users comfort, Consume maximum superelevation
(emax), then use side friction (f )
 Method 4: Same as Method 3, but using Running Speed instead of
Design Speed
 Method 5: Same as Method 1, but it assumes a non linear relationship
for (e & f ) vs. 1/R
ElDessouki
CONEN 442 Transportation Engineering S2021
202
Design of Horizontal Curve:
Design Methodologies: Example
For a highway with a design speed 90 km/hr, if the maximum
superelevation was set to be 8%. Design a horizontal curve and
determine a safe turning radius such that the maximum centrifugal
force exerted on passengers is maintained below 0.10g
ElDessouki
CONEN 442 Transportation Engineering S2021
203
Design of Horizontal Curve:
Design Methodologies: Tangent -to- Curve Transition
ElDessouki
CONEN 442 Transportation Engineering S2021
204
Design of Horizontal Curve:
Design Methodologies: Tangent -to- Curve Transition
ElDessouki
CONEN 442 Transportation Engineering S2021
205
Superelevation Runoff Length:
Design of Horizontal Curve:
Design Methodologies: Tangent -to- Curve Transition
ElDessouki
CONEN 442 Transportation Engineering S2021
206
Superelevation Runoff Length:
206
Design of Horizontal Curve:
Design Methodologies: Curve-to-Tangent Transition
ElDessouki
CONEN 442 Transportation Engineering S2021
207
Tangent Runout Length:
You may use
:
Lt = 2/3 Lr
Design of Horizontal Curve:
Design Methodologies: Locations of Transition Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
208
PT
PI
PC
Methods of Attaining Superelevation:
Undivided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
209
A
Advantages:
Short lr , Min. cut & fill
Disadvantages:
Water drainage for
inner lanes
Methods of Attaining Superelevation:
Undivided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
210
B
Advantages:
Good water drainage
Disadvantages:
Long lr
Large amount of fill
Methods of Attaining Superelevation:
Undivided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
211
C
Advantages:
Smooth Transition
Disadvantages:
Long lr
Large amount of cut
Methods of Attaining Superelevation:
Divided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
212
A- Revolving around Roadway Centerline
Advantages:
Short lr , Min. cut & fill
Disadvantages:
Water drainage for
inner lanes
Methods of Attaining Superelevation:
Divided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
213
B- Revolving around inner Roadway Edges
Advantages:
Good for water drainage
Disadvantages:
Large a mounts of Fill material
Long transition curves
Methods of Attaining Superelevation:
Divided Multilane Highway
ElDessouki
CONEN 442 Transportation Engineering S2021
214
C - Revolving around median edge
Advantages:
Best in Terms of Safety ,
good on cut & fill material
Disadvantages:
Average on Water drainage for
inner lanes
Design of Horizontal Curve:
Offtracking & Lane Widening for Horizontal Curves
What is Offtracking:
 Offtracking is the characteristic, common to all vehicles,
although much more pronounced with the larger design
vehicles, in which the rear wheels do not follow precisely the
same path as the front wheels when the vehicle negotiates
a horizontal curve or makes a turn.
ElDessouki
CONEN 442 Transportation Engineering S2021
215
Design of Horizontal Curve:
Offtracking & Lane Widening for Horizontal Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
216
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
 Track Width on Curve (U)
ElDessouki
CONEN 442 Transportation Engineering S2021
217
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
218
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
 Front Overhang (FA)
ElDessouki
CONEN 442 Transportation Engineering S2021
219
 Extra Width Allowance(Z)
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
220
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
221
Design of Horizontal Curve:
Elements of Lane Widening for Horizontal Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
222
Design of Horizontal Curve:
Derivation of Lane Widening for Horizontal Curves
 Curve Widening(w)
 Minimum (w = 0.60 m)
ElDessouki
CONEN 442 Transportation Engineering S2021
223
 Extra Width Allowance(Z)
Design of Horizontal Curve:
Horizontal Sight Distance Offset (HSO)
ElDessouki
CONEN 442 Transportation Engineering S2021
224
Highway
Vertical
Alignment
225
CONEN 442 Transportation Engineering S2021 ElDessouki
Vertical Alignment
 It is composed of Vertical Tangents connected with Vertical Curves
 Design Objective: MINIMIZE CUT AND FILL
 Subject to: Maintain LOS and Capacity (at most 2 level drops)
 Grades: Should be comfortable for passengers & Suitable for Vehicles
ElDessouki
CONEN 442 Transportation Engineering S2021
226
Vertical Alignment:
Vehicle Operating Characteristics on
Grades
 Passenger Cars:
For most cars , the range of 4-5% Grade does not affect performance or
loss in speed
 Trucks:
The effect of grades on truck speed is much more significant.
 HCM Exhibit 23.2 A, is used to estimate the equivalent grade for a series of
composite grades to get an equivalent grade & the overall drop in speed.
ElDessouki
CONEN 442 Transportation Engineering S2021
227
Vertical Alignment: HCM Exhibit 23.2 A
ElDessouki
CONEN 442 Transportation Engineering S2021
228
1%
4%
3%
2%
5%
6%
7%
8%
Speed km/hr
Vertical Alignment:
Critical Length of Grade for Design
Using the Maximum Grade is not the governing factor, there are other factors
that must be taken into consideration:
1. Size & power of the design vehicle( truck)
2. Speed at entrance to critical length of grade
3. Drop in speed on the critical length
ElDessouki
CONEN 442 Transportation Engineering S2021
229
Vertical Alignment:
Critical Length of Grade for Design
ElDessouki
CONEN 442 Transportation Engineering S2021
230
Vertical Alignment:
Climbing Lane Design
Climbing lanes are usually added for trucks on two way two lane highways
located in mountainous areas, in order to maintain an acceptable level of
service.
ElDessouki
CONEN 442 Transportation Engineering S2021
231
Vertical Alignment:
Climbing Lane Design: Criteria
The following are the three criteria to Justify a climbing lane:
1. Upgrade traffic flow rate >200 veh/hr
2. Upgrade Truck flow rate > 20 truck/hr
3. One of the following:
I. Speed Drop > 15 km/hr  speed drop alone can justify
II. LOS E or F on the grade
III. LOS Drop two or more levels.
ElDessouki
CONEN 442 Transportation Engineering S2021 232
Vertical Alignment:
Climbing Lane Design: Example
For the given grade segment of a 2 lane highway, determine if a climbing lane is
need or not? if needed, please determine its start and end. Facts: Grade 8%,
Volume = 650 km/hr , % Trucks= 5%, Deign Speed = 90 km/hr.
Solution:
Upgrade Volume = ??
Number of Trucks = ??
From the charts:
Drop in Speed ??
Drop in LOS ??
LOS E or F ??
Using the HCM Truck performance curves to determine Start & End of climbing lane
ElDessouki
CONEN 442 Transportation Engineering S2021 233
Vertical Alignment:
Climbing Lane Design: Start/End
ElDessouki
CONEN 442 Transportation Engineering S2021 234
1%
4%
3%
2%
5%
6%
7%
8%
Speed km/hr
Allowable Drop in Speed
( in this case was 15 km/hr)
Below this line a climbing
lane must be added
Vertical Curves
ElDessouki
CONEN 442 Transportation Engineering S2021
235
Vertical Curves: Geometric
Characteristics
 Vertical curves are not circular, they are in the
shape of a parabola, and they are two types: Crest
& Sag curves.
ElDessouki
CONEN 442 Transportation Engineering S2021
236
Key Issue: Safety & Clearance
Key Issue: Clearance & Drainage
Vertical Curves: Geometric
Characteristics
 Elements of a Vertical curve:
VPI – Vertical point of intersection
VPC – Vertical point of curvature
VPT – Vertical point of tangent
G1 – Approach grade %
G2 – Departure grade %
L – Length of curve in meters
r - rate of change of grade per unit length
Then the curve equation will be:
Where:
Y(X) – elevation for a point at (x) meters from the VPC
Yo – Elevation of the VPC
b – Approach grade, G1% & ElDessouki
CONEN 442 Transportation Engineering S2021
237
o
Y
bX
aX
X
Y 

 2
)
(
L
G
G
r
1
2

L
G
G
a
2
1
2

Vertical Curves: Geometric
Characteristics
Example:
For the shown vertical curve. Determine:
1- Stations & Elevations for PVC & PVI
2- STA & Elev for the highest point on the curve.
ElDessouki
CONEN 442 Transportation Engineering S2021
238
PVT 2+431.05
Elev@PVT= 236.62 m
L =270 m
PVC
PVI
ElDessouki
CONEN 442 Transportation Engineering S2021
239
Design Criteria:
Stopping Sight Distance (S)
Design Crest Vertical Curve:
Design Crest Vertical Curve:
ElDessouki
CONEN 442 Transportation Engineering S2021
240
For h1 =1.08 m & h2 = 0.60 m ,
then we can use the following:
Design of Sage Vertical Curve:
ElDessouki
CONEN 442 Transportation Engineering S2021
241
Design Criteria:
1. Headlight Stopping Sight Distance (S)
2. Passenger Comfort
3. Drainage Control
4. General Appearance
Design of Sage Vertical Curve:
ElDessouki
CONEN 442 Transportation Engineering S2021
242 Headlight/ Stopping Sight Distance (S)
For Passenger Comfort:
For Drainage:
Rate of Curvature (K) = L/A ≤ 51
For Appearance:
Minimum Length Lmin = 30 A
A = │G2 –G1 │
Undercrossing Clearance:
ElDessouki
CONEN 442 Transportation Engineering S2021
243
h1 =2.4 m, h2 = 0.6 m
Undercrossing Clearance:
ElDessouki
CONEN 442 Transportation Engineering S2021
244
h1 =2.4 m, h2 = 0.6 m
End of Module 2
ElDessouki
CONEN 442 Transportation Engineering S2021
245

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Conen 442 module2: Highway Geometric Design

  • 1. Module 2: Highway Geometric Design Wael M. ElDessouki, Ph.D. CONEN 442 Transportation Engineering S2021 ElDessouki 181
  • 2. Highway Functional Classification 182 CONEN 442 Transportation Engineering S2021 ElDessouki
  • 3. The Concept of Functional Classification: Highways are classified according to its functionality. Most trips can be divided into six stages: 1- Main Movement 2- Transitions 3- Distribution 4- Collection 5 - Access 6 - Termination ElDessouki CONEN 442 Transportation Engineering S2021 183
  • 4. The Concept of Functional Classification: In this example each of the six stages is handled by a separate facility designed specifically for its function, as following: 1- Main Movement 2- Transitions 3- Distribution 4- Collection 5 - Access 6 - Termination ElDessouki CONEN 442 Transportation Engineering S2021 184 Freeways / Highways  High Speed  Limited Access Arterials & Collectors  Moderate Speed  Moderate Access Local Streets &  Low Speed Neighborhood Streets  High Access
  • 5. The Concept of Functional Classification: ElDessouki CONEN 442 Transportation Engineering S2021 185 Based on the previous example, we can summarize our observations on the Functional Classification as following conclusions: 1- Traffic Volume is at its highest at the top of the classification. 2- At the top of the classification mobility is very high & access is limited. 3- At the lowest in the classification access is very high & mobility is very low.
  • 6. Design Controls & Criteria 186 CONEN 442 Transportation Engineering S2021 ElDessouki
  • 7. Design Criteria: Traffic Characteristics : Projection of future Traffic Demand: This is a very important component in highway design, because we design for the future demand not just for current demand. We design for the life span of the facility: Facility Life Expectancy Right of Way (ROW) 100 year Minor Drainage & Base Courses 50 years Bridges 25-100 years Pavement Resurfacing 10 years Pavement Structure(New) 20-30 years Pavement (Reconstruction ) 5-10 years ElDessouki CONEN 442 Transportation Engineering S2021 187
  • 8. Design Criteria: Traffic Characteristics : Speed: Speed is a key design control for highway geometric design. Why?  It defines key design elements in highways such as horizontal and vertical curves.  It plays a key role in determining lane capacity and highway facilities in general.  Speed is a key factor in functional classification of highway and consequently affects driver’s selection of the road. Types of Speed: Operating Speed: ElDessouki CONEN 442 Transportation Engineering S2021 188
  • 9. Design Criteria: Traffic Characteristics: Speed: Types of Speed: Operating Speed: Defined as the speed at which drivers are observed operating their vehicles during free flow condition. The 85th% of observed spot speed sample can be considered as the Operating Speed. Design Speed: Design speed is a selected speed value that is used to determine various geometric design features of the highway. The Design Speed must be logical with respect to: Topography, Anticipated Operating Speed,  Adjacent land use The functional Classification of the highway ElDessouki CONEN 442 Transportation Engineering S2021 189
  • 10. Design Criteria: Traffic Characteristics : Speed: Types of Speed: Design Speed (cont.): Design speed should be selected as high as possible with consideration for: Desired degree of safety Mobility Efficiency The selected Design Speed Should be consistent with the speed drivers are likely to expect on a given facility. ElDessouki CONEN 442 Transportation Engineering S2021 190
  • 11. Design Criteria: Traffic Characteristics : Speed: Recommended Ranges for Design Speed: 120 km/h  Rural freeways, expressways & other arterial highways 100 km/h  Suburban freeways & expressways 80 to 110 km/h  Suburban elevated & depressed freeways 50 to 100 Urban arterial streets ElDessouki CONEN 442 Transportation Engineering S2021 191
  • 12. Design Criteria: Highway Capacity Guidelines for the Selection of Design Level of Service (LOS): ElDessouki CONEN 442 Transportation Engineering S2021 192 Functional Class Rural Level Rural Rolling Rural Mountainous Urban & Suburban Freeway B B C C Arterial B B C C Collector C C D D Local Street D D D D
  • 14. Horizontal Alignment: Horizontal Alignment Consists of Tangents (Straight Segments) connected by Horizontal Curves Types of Horizontal Curves: ElDessouki CONEN 442 Transportation Engineering S2021 194
  • 15. Layout of Simple Horizontal Curve:   ) 2 / sin( * 2 ) ( * ) ( 1 ) 2 / cos( 1 ) 2 / cos( 1 ) 2 / tan(                   R length cord L R length curve L R E R M R T c ElDessouki CONEN 442 Transportation Engineering S2021 195
  • 16. Layout of Simple Horizontal Curve: Curve severity is defined by Radius (R) and the Degree of curvature (D) ElDessouki CONEN 442 Transportation Engineering S2021 196 30 m ) 1719   ( in curvature of degree the is D meters in radius the is R where R D
  • 17. Design of Horizontal Curve: On horizontal curves, centrifugal force tend to push the vehicle in the radial direction, the vehicle is maintained by side friction on the pavement surface and pavement super elevation. Here is the relationship: Where , V – Speed (m/s) , R- Curve Radius (m), f- Side Friction e – Super elevation % , g – Gravitational Acceleration(m/s2) ElDessouki CONEN 442 Transportation Engineering S2021 197 l f e gR V   01 . 0 2
  • 18. Design of Horizontal Curve: Maximum Superelevation: (e) The AASHTO range (4%-12%) , but: 1- From a construction perspective a 12 is difficult and 8% can be seen as the maximum 2- The typical superelevation is 5% Side-Friction factor: (fl ) The coefficient of side friction, (fl ) is function of vehicle speed and other factors. ElDessouki CONEN 442 Transportation Engineering S2021 198
  • 19. Design of Horizontal Curve: ElDessouki CONEN 442 Transportation Engineering S2021 199
  • 20. Design of Horizontal Curve: Methodology & Considerations for Selecting Side Friction (fl )  Horizontal curves should not be designed based on the maximum available side friction.  The centrifugal acceleration due to the curve is counteracted by side friction and Superelevation  The centrifugal acceleration felt by the driver & passengers is the portion contributed by the side friction.  The ball-bank indicator: see next slide ElDessouki CONEN 442 Transportation Engineering S2021 200
  • 21. Design of Horizontal Curve: Methodology & Considerations for Selecting Side Friction (fl )  The ball-bank indicator (similar to aircrafts): ElDessouki CONEN 442 Transportation Engineering S2021 201 Lateral Acceleration = 0.10 This is the portion carried out by friction
  • 22. Design of Horizontal Curve: Design Methodologies: R, e & f  Method 1: Superelevation (e) & side friction (f )are inversely proportion to curve radius R in a straight line relationship.  Method 2: All lateral acc. Is sustained by side friction i.e. f = fmax , then superelevation is then utilized.  Method 3: for road-users comfort, Consume maximum superelevation (emax), then use side friction (f )  Method 4: Same as Method 3, but using Running Speed instead of Design Speed  Method 5: Same as Method 1, but it assumes a non linear relationship for (e & f ) vs. 1/R ElDessouki CONEN 442 Transportation Engineering S2021 202
  • 23. Design of Horizontal Curve: Design Methodologies: Example For a highway with a design speed 90 km/hr, if the maximum superelevation was set to be 8%. Design a horizontal curve and determine a safe turning radius such that the maximum centrifugal force exerted on passengers is maintained below 0.10g ElDessouki CONEN 442 Transportation Engineering S2021 203
  • 24. Design of Horizontal Curve: Design Methodologies: Tangent -to- Curve Transition ElDessouki CONEN 442 Transportation Engineering S2021 204
  • 25. Design of Horizontal Curve: Design Methodologies: Tangent -to- Curve Transition ElDessouki CONEN 442 Transportation Engineering S2021 205 Superelevation Runoff Length:
  • 26. Design of Horizontal Curve: Design Methodologies: Tangent -to- Curve Transition ElDessouki CONEN 442 Transportation Engineering S2021 206 Superelevation Runoff Length: 206
  • 27. Design of Horizontal Curve: Design Methodologies: Curve-to-Tangent Transition ElDessouki CONEN 442 Transportation Engineering S2021 207 Tangent Runout Length: You may use : Lt = 2/3 Lr
  • 28. Design of Horizontal Curve: Design Methodologies: Locations of Transition Curves ElDessouki CONEN 442 Transportation Engineering S2021 208 PT PI PC
  • 29. Methods of Attaining Superelevation: Undivided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 209 A Advantages: Short lr , Min. cut & fill Disadvantages: Water drainage for inner lanes
  • 30. Methods of Attaining Superelevation: Undivided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 210 B Advantages: Good water drainage Disadvantages: Long lr Large amount of fill
  • 31. Methods of Attaining Superelevation: Undivided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 211 C Advantages: Smooth Transition Disadvantages: Long lr Large amount of cut
  • 32. Methods of Attaining Superelevation: Divided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 212 A- Revolving around Roadway Centerline Advantages: Short lr , Min. cut & fill Disadvantages: Water drainage for inner lanes
  • 33. Methods of Attaining Superelevation: Divided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 213 B- Revolving around inner Roadway Edges Advantages: Good for water drainage Disadvantages: Large a mounts of Fill material Long transition curves
  • 34. Methods of Attaining Superelevation: Divided Multilane Highway ElDessouki CONEN 442 Transportation Engineering S2021 214 C - Revolving around median edge Advantages: Best in Terms of Safety , good on cut & fill material Disadvantages: Average on Water drainage for inner lanes
  • 35. Design of Horizontal Curve: Offtracking & Lane Widening for Horizontal Curves What is Offtracking:  Offtracking is the characteristic, common to all vehicles, although much more pronounced with the larger design vehicles, in which the rear wheels do not follow precisely the same path as the front wheels when the vehicle negotiates a horizontal curve or makes a turn. ElDessouki CONEN 442 Transportation Engineering S2021 215
  • 36. Design of Horizontal Curve: Offtracking & Lane Widening for Horizontal Curves ElDessouki CONEN 442 Transportation Engineering S2021 216
  • 37. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves  Track Width on Curve (U) ElDessouki CONEN 442 Transportation Engineering S2021 217
  • 38. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves ElDessouki CONEN 442 Transportation Engineering S2021 218
  • 39. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves  Front Overhang (FA) ElDessouki CONEN 442 Transportation Engineering S2021 219  Extra Width Allowance(Z)
  • 40. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves ElDessouki CONEN 442 Transportation Engineering S2021 220
  • 41. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves ElDessouki CONEN 442 Transportation Engineering S2021 221
  • 42. Design of Horizontal Curve: Elements of Lane Widening for Horizontal Curves ElDessouki CONEN 442 Transportation Engineering S2021 222
  • 43. Design of Horizontal Curve: Derivation of Lane Widening for Horizontal Curves  Curve Widening(w)  Minimum (w = 0.60 m) ElDessouki CONEN 442 Transportation Engineering S2021 223  Extra Width Allowance(Z)
  • 44. Design of Horizontal Curve: Horizontal Sight Distance Offset (HSO) ElDessouki CONEN 442 Transportation Engineering S2021 224
  • 46. Vertical Alignment  It is composed of Vertical Tangents connected with Vertical Curves  Design Objective: MINIMIZE CUT AND FILL  Subject to: Maintain LOS and Capacity (at most 2 level drops)  Grades: Should be comfortable for passengers & Suitable for Vehicles ElDessouki CONEN 442 Transportation Engineering S2021 226
  • 47. Vertical Alignment: Vehicle Operating Characteristics on Grades  Passenger Cars: For most cars , the range of 4-5% Grade does not affect performance or loss in speed  Trucks: The effect of grades on truck speed is much more significant.  HCM Exhibit 23.2 A, is used to estimate the equivalent grade for a series of composite grades to get an equivalent grade & the overall drop in speed. ElDessouki CONEN 442 Transportation Engineering S2021 227
  • 48. Vertical Alignment: HCM Exhibit 23.2 A ElDessouki CONEN 442 Transportation Engineering S2021 228 1% 4% 3% 2% 5% 6% 7% 8% Speed km/hr
  • 49. Vertical Alignment: Critical Length of Grade for Design Using the Maximum Grade is not the governing factor, there are other factors that must be taken into consideration: 1. Size & power of the design vehicle( truck) 2. Speed at entrance to critical length of grade 3. Drop in speed on the critical length ElDessouki CONEN 442 Transportation Engineering S2021 229
  • 50. Vertical Alignment: Critical Length of Grade for Design ElDessouki CONEN 442 Transportation Engineering S2021 230
  • 51. Vertical Alignment: Climbing Lane Design Climbing lanes are usually added for trucks on two way two lane highways located in mountainous areas, in order to maintain an acceptable level of service. ElDessouki CONEN 442 Transportation Engineering S2021 231
  • 52. Vertical Alignment: Climbing Lane Design: Criteria The following are the three criteria to Justify a climbing lane: 1. Upgrade traffic flow rate >200 veh/hr 2. Upgrade Truck flow rate > 20 truck/hr 3. One of the following: I. Speed Drop > 15 km/hr  speed drop alone can justify II. LOS E or F on the grade III. LOS Drop two or more levels. ElDessouki CONEN 442 Transportation Engineering S2021 232
  • 53. Vertical Alignment: Climbing Lane Design: Example For the given grade segment of a 2 lane highway, determine if a climbing lane is need or not? if needed, please determine its start and end. Facts: Grade 8%, Volume = 650 km/hr , % Trucks= 5%, Deign Speed = 90 km/hr. Solution: Upgrade Volume = ?? Number of Trucks = ?? From the charts: Drop in Speed ?? Drop in LOS ?? LOS E or F ?? Using the HCM Truck performance curves to determine Start & End of climbing lane ElDessouki CONEN 442 Transportation Engineering S2021 233
  • 54. Vertical Alignment: Climbing Lane Design: Start/End ElDessouki CONEN 442 Transportation Engineering S2021 234 1% 4% 3% 2% 5% 6% 7% 8% Speed km/hr Allowable Drop in Speed ( in this case was 15 km/hr) Below this line a climbing lane must be added
  • 55. Vertical Curves ElDessouki CONEN 442 Transportation Engineering S2021 235
  • 56. Vertical Curves: Geometric Characteristics  Vertical curves are not circular, they are in the shape of a parabola, and they are two types: Crest & Sag curves. ElDessouki CONEN 442 Transportation Engineering S2021 236 Key Issue: Safety & Clearance Key Issue: Clearance & Drainage
  • 57. Vertical Curves: Geometric Characteristics  Elements of a Vertical curve: VPI – Vertical point of intersection VPC – Vertical point of curvature VPT – Vertical point of tangent G1 – Approach grade % G2 – Departure grade % L – Length of curve in meters r - rate of change of grade per unit length Then the curve equation will be: Where: Y(X) – elevation for a point at (x) meters from the VPC Yo – Elevation of the VPC b – Approach grade, G1% & ElDessouki CONEN 442 Transportation Engineering S2021 237 o Y bX aX X Y    2 ) ( L G G r 1 2  L G G a 2 1 2 
  • 58. Vertical Curves: Geometric Characteristics Example: For the shown vertical curve. Determine: 1- Stations & Elevations for PVC & PVI 2- STA & Elev for the highest point on the curve. ElDessouki CONEN 442 Transportation Engineering S2021 238 PVT 2+431.05 Elev@PVT= 236.62 m L =270 m PVC PVI
  • 59. ElDessouki CONEN 442 Transportation Engineering S2021 239 Design Criteria: Stopping Sight Distance (S) Design Crest Vertical Curve:
  • 60. Design Crest Vertical Curve: ElDessouki CONEN 442 Transportation Engineering S2021 240 For h1 =1.08 m & h2 = 0.60 m , then we can use the following:
  • 61. Design of Sage Vertical Curve: ElDessouki CONEN 442 Transportation Engineering S2021 241 Design Criteria: 1. Headlight Stopping Sight Distance (S) 2. Passenger Comfort 3. Drainage Control 4. General Appearance
  • 62. Design of Sage Vertical Curve: ElDessouki CONEN 442 Transportation Engineering S2021 242 Headlight/ Stopping Sight Distance (S) For Passenger Comfort: For Drainage: Rate of Curvature (K) = L/A ≤ 51 For Appearance: Minimum Length Lmin = 30 A A = │G2 –G1 │
  • 63. Undercrossing Clearance: ElDessouki CONEN 442 Transportation Engineering S2021 243 h1 =2.4 m, h2 = 0.6 m
  • 64. Undercrossing Clearance: ElDessouki CONEN 442 Transportation Engineering S2021 244 h1 =2.4 m, h2 = 0.6 m
  • 65. End of Module 2 ElDessouki CONEN 442 Transportation Engineering S2021 245