Problem $2[40$ Points$]$

You are required to produce a signal timing plan for the intersection shown in the figure below. The volumes indicated are in veh$/$h and were collected during the a$.$m$.$ peak hour, i$.$e$.$ from $7$:$30$ to $8$:$30$ a$.$m$.$ More data are as shown below.

Saturation flow rates $($per lane$)$:

$E\frac{B}{W}B$:$1100$ veh$/$h

NB$/$SB: $1000$ veh$/$h

Target $\frac{v}{c}$ ratio $=0\mathrm{.}90$

Moderate pedestrian activity

Average approach speeds:

$30m\frac{i}{h}NS$

$30m\frac{i}{h}$ E$-$W

Crosswalk width $=10ft$

All Lane widths $=15ft$

Level grade

Driver reaction time $=1\mathrm{.}0s$

Deceleration rate $(a)=10f\frac{t}{s^2}$

a$)$ Determine whether a protected left$-$turn phase is needed.

b$)$ Draw$/$tabulate your phasing plan.

c$)$ Draw$/$tabulate a ring diagram, and $4$ se it to determine the critical lane volumes as well as the sum of their flow ratios.

d$)$ Determine the yellow times for each phase.

e$)$ Determine the all red times. Use vehicle length of $18ft.$

f$)$ Compute the lost time per phase as well as the total lost fime per cycle. acouming $2$ socuf start up tostime and $2$ sec of clearance lost fime.

Problem $2[40$ Points$]$

You are recutred to produce a signal timing plan for the intersection shown in the figure below. The volumes indicaled are in veh$/$h and were collected during the a$.$m$.$ peak hour, i$.$e$.$ from $7$:$30$ to $8$:$30$ a$.$m$.$ More data are as shown below.

Saturation flow rates $($per lane$)$:

EB$/$WB: $1100$ veh$/$h

NB$/$SB: $1000$ veh$/$h

Target v$/$c ratio $=0\mathrm{.}90$

Moderate pedestrian activity

Average approach speeds:

$30-$nith NS

$30m\frac{i}{h}E$ EW

Crosswalk width $=10ft$

All Lane widths $=15ft$

Level grade

Driver reaction time $=1\mathrm{.}0s$

Deceleration rate $(a)=10f\frac{t}{s^2}$

a$)$ Determine whether a protected left$-$tum phase is needed.

b$)$ Draw$/$tabulate your phasing plan.

c$)$ Draw$/$fabulate a ring diagram, and use it to determine the erlical lane volumes as well as the sum of their flow ralios.

d$)$ Determine the yellow times for each phase.

e$)$ Delermine the all red times. Use vehicle length of $18ft.$

Compute the lost time per phase as well as the total lost time per cycle. assuming $2$ sec of start$-$up lost lime and $2$ sec of clearance lost time.

g$)$ Compute the cycle length. Assume that it is desired to use no more ihal $90\%$ of available capacity during the peak $15-$minute period of the peak hour.

Allocate the avatalto cffoctive green time withth the evele for each ahnce Compute the actual green times.

i$)$ Determine the E$-$W and N$-$S pedestrian crossing times. $($Assume pedestrian walking speed of $3\mathrm{.}5H\frac{t}{s}$ and a maximum of $12$ pedestrians crossing each stre duting any one phese?

i$)$ Compare the vehicular green times calculated above to pedestilian green times. It necessary, adjust all vehicular green times accordingly.