A 490 ft equal-tangent sag curve is currently designed for 50 mph. A CE 321 student thinks that traveling at 55 mph on the curve is safe for a van since the van will have a higher headlight height. If the all other design inputs are standard, what must the driver's eye height be (in the van) for the student's claim to be valid?
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- A vertical curve is going to be designed to join a 0% grade with a +5% grade at a section of a highway. The station and elevation of the PVC point are 5+00 and 12 ft, respectively. Assuming AASHTO design standard values for perception-reaction time, deceleration rate for braking, and driver’s eye and object heights, determine the following: 1. The min length of the curve if the design speed is 65 mi/h. 2. The station and elevation of the PVT. 3. The station and elevation of the high or low point. 4. The elevation of the point at station 6+50.1. A parabolic curve has an ascending grade of 4% which meets a descending grade of 3% at sta. 1+ 180 whose elevation is at 320 m. Compute the elevation of the PVT(point of vertical tangency) if the length of the curve is 280 m 2. The driver of a car traveling at 65 mph saw an obstruction ahead. If the reaction distance is 72.2 m, compute the reaction time.An equal-tangent vertical curve was designed in 2000 for a design speed of 70 mi/h to connect grades G1 = +1% and G2 = -2%. The curve is to be redesigned for a 70-mi/h design speed in the year 2020. Vehicle braking technology has advanced so that the recommended design deceleration rate is 25% greater than the 2000, but due to the higher percentage of older persons in the driving population, design reaction times have increased by 20%. Compute the difference in design curve lengths for the 2000 and 2020 designs.
- A parabolic sag vertical curve is formed when a rural highway passes under a bridge joining a -6% grade to the horizontal grade. The vertical point of intersection of these two grades lies 3 feet below the curve. If the vertical clearance of the underpass is only 10 feet, what speed limit would you suggest should be imposed at this spot, considering a safe stopping sight distance? Use H=3.5 ft, β= 1.50; assume vehicle deceleration rate of 13.5 ft/s2 and driver’s perception-reaction time of 2.5 seconds.A crest vertical curve is to be designed to join a +3% grade with a -2% grade at a section of a two-lane highway. Determine the minimum lenght of the curve if the design speed of the highway is 96km/h, S<L, and a perception-reaction time of 2.5 sec. The deceleration rate for braking (a) is 3.41 m/s2You are asked to design a horizontal curve for a two-lane road. The road has 12 ft lanes. Due to expensive excavation, it is determined that a maximum of 34 ft can be cleared from the roads centerline toward the inside lane to provide to provide for stopping sight distance. Also, local guidelines dictate that a maximum superelevation of 0.08 ft/ft. What is the highest design speed possible for this curve?
- Two vertical parabolic curves have been connected to form a roadway by three gradients: -5.30 %, 4.10 % and -3.70 % respectively. If the length of the second curve is twice as the length of the first curve, compute the following: a. The length of the second curve in ft given that the design speed of the first curve is 80 kph assuming a vertical radial acceleration of 0.3m/s2 for comfort criterion. b. The length of the second curve in m if the headlight height of the vehicle is 0.73 m above the first curve and the inclined upward angle of the headlight beam relative to the horizontal plane of the vehicle is 1.57% The design speed for the first curve for this situation is 90 kph. c. The length of the first curve in yard if the total length of the roadway is 7451 m given that the second curve has a design speed of 70 kph for passing sight distance with the driver's eye height assumed to be 1.5 m and object height of 0.33 m. d.The total length of the roadway in km if a bridge…An equal-tangent vertical curve connects a -2.2% and a +3.2% grade. The low point of the curve is at elevation 302.3 ft. If the PVI is at elevation 300 ft, what is the design speed of the curve? Provide your answer in units of mi/h with step 5 mi/h (e.g., 15, 20, etc.). Design conservatively.Design a vertical summit parabolic curve connecting two tangent grades, a 5% grade intersecting a -3.4% grade at station 1 + 990 with an elevation 42.30 meters. The parabolic curve shall conform with the following safe stopping sight distance requirements. Design velocity = 60 kph Height of driver’s eye from the road pavement = 1.37 meters Height of an object over the pavement ahead = 100 mm. Perception/reaction time = 0.75 second Coefficient of friction between the road pavement and the tires = 0.15 Determine the following: Stopping sight distance The length of the curve The elevation of the highest point on curve.
- Calculate the minimum length af a crest vertical curve for a two lane highway with an initial grade of +3.5 and a final grade of -2% based on a Passing Sight Distance (PSD) of 700ft .(corresponding to a design speed of 45 mph), For Pasing Sight Distance, ASHTOO 2011 poicy assumes a driver eye height above the Roadway of 3.5 ft( i.e h1) and an object height of 3.5 (i.e h2),You are asked to design a horizontal curve for a four-lane road. The road has 12-ft lanes. Due to expensive excavation, it is determined that a maximum of 42 ft can be cleared from the road’s centerline toward the inside lane to provide for stopping sight distance. Also, local guidelines dictate a maximum superelevation of 0.08 ft/ft. What is the highest possible design speed for this curve?A horizontal curve is being designed through mountainous terrain for a four-lane road with lanes that are 12 ft wide. The central angle (Δ) is known to be = 24o30’ 15”, the tangent distance is 600 ft, and the stationing of the tangent intersection (PI) is 700+00. Under specified conditions and vehicle speed, the roadway surface is determined to have a coefficient of side friction of 0.08, and the curve’s superelevation is 0.06 ft/ft. What is the stationing of PC and PT and what is the safe vehicle speed?