Explain the role of time in engineering problems and provide examples.

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2. An intersection has a 2-timing stage signal with the movements allowed in each timing stage, analysis and saturation flow rates shown below. Consider that the lost time per timing stage is 3 seconds and a critical v/c ratio of 0.85 is desired. Calculate minimum cycle length, and the effective green times (based on minimum cycle length). Timing Stage 1 2 Allowed movements NB L SB L NB T/R SB T/R EB L WB L EB T/R WB T/R Analysis flow rate (veh/h) 40 30 1125 1075 100 80 250 295 Saturation flow rate(veh/h) 600 600 3400 3200 650 600 1750 1800

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Chapter 8.2, Problem 1BYG

To determine

Explain the role of time in engineering problems and provide examples.

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2. An intersection has a 2-timing stage signal with the movements allowed in each timing stage, analysis and saturation flow rates shown below. Consider that the lost time per timing stage is 3 seconds and a critical v/c ratio of 0.85 is desired. Calculate minimum cycle length, and the effective green times (based on minimum cycle length). Timing Stage 1 2 Allowed movements NB L SB L NB T/R SB T/R EB L WB L EB T/R WB T/R Analysis flow rate (veh/h) 40 30 1125 1075 100 80 250 295 Saturation flow rate(veh/h) 600 600 3400 3200 650 600 1750 1800

3. A six-lane urban freeway (3 lanes per direction) is on rolling terrain with 10-ft lanes,obstructions 5 ft from the right edge of the traveled pavement and 8 ramps within 3 milesupstream and 3 miles downstream of the midpoints of the analysis segment. A directionalweekday peak-hour volume of 2800 vehicles is observed with 760 vehicles arriving in themost congested 15-min period. The traffic stream has 7% single unit trucks and 3%tractor-trailer trucks.a. Determine the density and the LOS.b. If instead of rolling terrain, the freeway segment has an incline of 4.5% for adistance longer than 2 miles, determine the density and LOS.

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