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Transportation Engineering Home Work # 3 Chapters 7 through 9 Chapter 7 Intersection Design 1. A ramp from an expressway with a design speed of 30 mi/h connects with a local road, forming a T intersection. An additional lane is provided on the local road to allow vehicles from the ramp to turn right onto the local road without stopping. The turning roadway has stabilized shoulders on both sides and will provide for a one lane, one-way operation with no provision for passing a stalled vehicle. Determine the width of the turning roadway if the design vehicle is a single-unit truck. Use 0.08 for superelevation. 2. A major roadway with a speed limit of 45 mi/h has an intersection that has no intersection control with a minor roadway at a right angle. A building is located next to the intersection at a distance of 60 ft from the center of the 1 near lane on the major roadway and 40 ft from the center of the near lane on the minor roadway. At what speed for the minor roadway is the intersection safe? Grades are approximately level. 3. A stop sign controls all vehicles on the highway at a railroad crossing. Determine the minimum distance a building should be placed from the centerline of the tracks to allow a stopped vehicle to safely clear the intersection. Assume that the building is located 35 ft from the centerline of the near lane. The velocity of trains approaching the crossing is 70 mi/hr. Chapter 8 Intersection Control 4. Determine whether the criteria for installation of multi-way stop control are satisfied for an intersection with a total entering volume of 230 veh/h on the major street approaches, 220 veh/h on the minor street approaches, and 6 crashes within the last 12 months that could be avoided had multi-way stop control been in place. 5. A traffic signal control is being designed for a four-leg intersection on a divided highway with the characteristics shown in the table below. Determine an appropriate length of the yellow interval for each approach and how you will provide it. 2 6. Determine an appropriate yellow interval for a signal phase under the following conditions: • • • • • • Approach speed limit: 45 mi/h Approach grade: 2% downgrade Assumed perception-reaction time: 1.0 sec Assumed deceleration rate: 11.2 ft/sec2 Assumed average vehicle length: 20 ft Width of intersection to be crossed: 60 ft Chapter 9 Capacity and Level of Service for Highway Segments 7. A freeway is to be designed to provide LOS C for the following conditions: design hourly volume of 5600 veh/h; PHF: 0.92; trucks: 6%; free flow speed: 70 mi/h; no lateral obstructions; rolling terrain; total ramp density of 0.75 ramps per mile. Determine: Number of 12 ft lanes required in each direction. 8. An existing 4-lane freeway (2 lanes in each direction) is to be expanded. The segment length is 2 mi; sustained grade: 4%; Design volume of 3000 veh/h; trucks: 10%; buses: 2%; RVs: 3%; PHF: 0.95; free flow speed: 70 mi/h; right side lateral obstruction: 5 ft; design LOS: B. Determine: number of additional lanes required in each direction. 9. A new section of Richmond Highway is being designed as a six-lane facility (three in each direction) with a two-way left-turn lane. Determine the peak hour LOS. Traffic data include directional design hourly volume = 3600 veh/h, PHF = 0.94, assumed base free flow speed = 55 mi/h. Geometric data include: urban setting, rolling terrain, lane width = 11 ft, shoulder widths = 4 ft (right side) and 1 ft (left side), and average access point spacing = 12 points per mile on each side. 3 10. An existing Class III two-lane highway is to be analyzed to determine the level of service in each direction given the following information: Peak hourly volume in the analysis direction: 900 veh/h Peak hourly volume in the opposing direction: 720 veh/h Trucks: 10% of total volume Recreational vehicles: 2% of total volume PHF: 0.94 Lane width: 12 ft Shoulder width: 2 ft Access points per mile: 30 Terrain: level Measured free flow speed: 45 mi/h No passing zones: 60% of analysis segment length 4
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