Part 3: Signal Design Problem For this exercise, refer to the intersection diagram below in answering the following questions. 525 200 350 40 30 25 50 270 575 175 N Assume the following: Saturation flow rate per lane 1800 veh/h (for protected movements) ⚫ Saturation flow rate per lane = 700 veh/h (for any lane with permitted movements) • Start-up lost time/phase: 2 sec Clearance lost time/phase = 2 sec • Lane widths: Thru: 12 ft • Speeds: Left turn: 11 ft E/W: 45 mph N/S: 35 mph ⚫ Vehicle length: 20 ft • Level grade • Eff. crosswalk width = 8 ft ⚫ # of crossing pedestrians/phase = 15 3 Determine the following (for part f, determine for only the westbound approach): a) The signal phasing plan that will yield the minimum cycle length (assuming 95% capacity utilization) Hint: First determine N-S phasing possibilities and E-W phasing possibilities, and then consider possible combinations. b) "Optimal" cycle length c) Effective green times for each phase (for balanced v/c ratios), for minimum cycle d) Displayed yellow and all-red times for each phase e) Required pedestrian green times f) Average overall delay per cycle / Level of Service Project Report Guidelines Please submit a professional report (PDF version only) on CANVAS in accordance with the following guideline: 1. Your report should look professional and include the following at a minimum. You may add additional headings and subheadings as relevant to your project. a. Cover Page (include a title for your entire project and the names of all the team members) b. Table of Contents c. Executive Summary (explain the project including all the parts in less than 500 words) d. Part 1: Title of your Research Paper i. Introduction ii. Literature Review iii. Other Relevant Headings iv. Conclusion e. Part 2: LOS Analysis i. Problem Statement ii. Approach iii. Solution iv. Result/Conclusion f. Part 3: Signal Design Problem i. Problem Statement ii. Approach iii. Solution iv. Result/Conclusion g. Overall Conclusion (briefly recap what you did in parts 1, 2 and 3 and highlight the key findings) h. References (APA format) i. Appendix 2. Your entire report should be no more than 30 pages (including figures and tables but excluding references and appendix). This is not very long and you should be concise and to the point. 3. Please follow the rubric for the report at the end of this document and posted on canvas.

QUESTION 1 The approaches of a 4-leg signalized intersection are configured with 1 NB lane, 1 SB lane, 1 EB lane, and 1 WB lane and each of these lanes serves LT, TH, and RT movements. The following volumes and phasing are provided. approach EB WB NB SB movement LT TH RT LT TH RT LT TH RT LT TH RT volume 120 480 160 80 560 100 20 200 40 12 160 48 2 6 What is the critical sum for the EB/WB barrier?

An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 1 2 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB TR Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 vehh Calculate minimum cycle length O 255 sec O 60 sec O 155 sec O 100 sec

An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. O 15.552 sec O 11.462 sec O 14.825 sec Phase O 16.065 sec Allowed movements Analysis flow rate Saturation flow rate Using v/c equalization ratio, calculate the effective green time for phase 3 1 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EB L, WB L 110, 80 veh/h 650, 600 veh/h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/h

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An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB TR, WB TR Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 vehh 650, 600 veh/h 1750, 1 800 veh/h Using v/c equalization ratio, calculate the effective green time for phase 3 14.825 sec 15.552 sec O 11.462 sec O 16.065 sec

An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. O 12.105 sec O 15.954 sec O 13.190 sec Phase O 14.127 sec Allowed movements Analysis flow rate Saturation flow rate 1 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h Using v/c equalization ratio, calculate the effective green time for phase 1 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EBL, WBL 110, 80 veh/h 650, 600 veh/h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/h

An intersection has a three-phase signal with the movement allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired Phase              1               2                              3 Allowed Movement NB L, SB L NB T/R, SB T/R EB L, WB L EB /T/R, WB T/R Analysis Flow Rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation Flow Rate 1700, 1750 veh/h 3400, 300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the Following: 1.)Sum of flow ratios for critical lane groups 2.)minimum cycle length 3.)using v/c equation ratio, calculate the effective green time for phase 1 4.)using v/c equation ratio, calculate the effective green time for phase 2 5.)using v/c equation ratio, calculate the effective green time for phase 3

An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. O 20.464 sec O 22.411 sec O 24.460 sec Phase O 21.035 sec Allowed movements Analysis flow rate Saturation flow rate Using v/c equalization ratio, calculate the effective green time for phase 2 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EB L, WBL 110, 80 veh/h 650, 600 veh/h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/h

What count period would you choose for the volume study at the intersection with signal cycle length (a) 60 seconds, (b) 90 seconds, and (c) 120 seconds?