Title: Geometric
1Geometric Pavement DesignExample Problems
2Problem 3.15
Due to crashes at a railroad crossing, an
overpass (with a surface 24 ft above the existing
road) is to be constructed on an existing level
highway. The existing highway has a design speed
of 50 mph. The overpass structure is to be
level, centered above the railroad, and 200 ft
long. What length of the existing level highway
must be reconstructed to provide an appropriate
vertical alignment?
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4Problem 3.27
A developer is having a single-lane raceway
constructed with a 100 mph design speed. A curve
on the raceway has a radius of 1000 ft, a central
angle of 30 degrees, and PI stationing at
112510. If the design coefficient of side
friction is 0.20, determine the superelevation
required at design speed (do not ignore the
normal component of the centripetal force).
Also, compute the degree of curve, length of
curve, and stationing of the PC and PT.
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6Geometric Design Example
- A 2-lane (10 ft wide lanes) combined horizontal
and crest vertical curve is currently posted for
a 35 mph speed limit and is designed for 40 mph.
Curve data are - Horizontal L 580 ft, ? 60, e 6, Ms 30
ft - Vertical L 580 ft, G1 3, G2 -2.5
- Is this curve adequately designed for 40 mph?
- Because this curve is often covered in packed
snow and ice, the county wants to post a
recommended speed limit for these conditions.
What speed limit do you recommend?
7Problem 3.37
- Two straight sections of freeway cross at a right
angle. At the point of crossing, the east-west
highway is at elevation 150 ft and is a constant
5.0 grade (upgrade in the east direction), the
north-south highway is at elevation 125 ft and is
a constant -3.0 grade (downgrade in the north
direction). Design a 90-degree ramp that
connects the northbound direction of travel to
the eastbound direction of travel. - Design the ramp for the highest design speed (to
the nearest 5 mph) without exceeding a minimum D
of 8.0. (Assume the PC of the horizontal curve
is at station 1500, and the vertical curve PVIs
are at the PC and PT of the horizontal curve).
Maximum allowed superelevation by design
standards is 12. - Determine the following
- Stationing and elevations of the horizontal curve
PC and PT - Horizontal curve radius and length
- Stationing and elevations of the vertical curve
PVCs and PVTs - Vertical curve lengths
- Length of constant grade in between the 2
vertical curves (if any)
8North
Downhill (-3.0)
Uphill (5.0)
EW freeway
Elevation difference 25 ft
NS freeway
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11Pavement Design Example
- The pavement on Stevens way is slowly being
switched to PCC a few thousand yards at a time.
Assuming all the heavy vehicle traffic on Stevens
Way is due to bus traffic, estimate a rigid
pavement design using the following data - Design life 40 years
- Articulated bus average axle weights
- Front 15,000 lb
- Middle 18,500 lb
- Rear 11,500 lb
- Regular (non-articulated) bus average axle
weights - Front 12,200 lb
- Rear 20,000 lb
- Typical school day 80 regular, 40 articulated
in one direction - Bus traffic growth rate 2 per year
- Use undowel joints and crushed stone base
material
12Pavement Design Example
- What would a flexible pavement design be for the
same loading? Assume - Two layers (HMA and a granular base course)
- Subgrade MR 10,000 psi