Question $5[20$ marks$]$

A rural primary road segment of $3km$ long has an average annual daily traffic $($AADT$)$ of $15,150$ veh$/$day$.$ The number of crashes that have occurred over the past $3$ years are $3$ fatal, $34$ injury crashes and $80$ property damage only crashes. Statewide average crashes for this type of road are $2$ fatal, $100$ injury, and $210$ property damage only crashes per $100mv-$km for a three$-$year period. The weighting factors for fatal, injury and property crashes are $9,3,1,$ respectively. Using the critical crash ratio methodology, determine whether this site can be labeled a hazardous site. Use a $95$ percent confidence limit$.[10$ marks$]$

$CR=$AVR$+\frac{0\mathrm{.}5}{TB}+TF\sqrt[\phantom{2}]{\frac{\text{A}\text{V}\text{R}}{TB}}$

$TB=\frac{\text{Y}\text{e}\text{a}\text{r}\text{s}\text{A}\text{A}\text{D}\text{T}\text{s}\text{e}\text{g}\text{m}\text{e}\text{n}\text{t}\text{l}\text{e}\text{n}\text{g}\text{t}\text{h}365\text{d}\text{a}\text{y}\text{s}\text{p}\text{e}\text{r}\text{y}\text{e}\text{a}\text{r}}{100\text{m}\text{i}\text{l}\text{l}\text{i}\text{o}\text{n}}$

Segment crash history $=\frac{\text{c}\text{r}\text{a}\text{s}\text{h}\text{e}\text{s}}{TB}$

Determine the LOS of a $0\mathrm{.}55-km$ section of a four$-$lane urban freeway. The following design features apply to this section:

Hourly volume, $V=2000$ veh $\frac{?}{h}$

$PHF=0\mathrm{.}95$

Trucks and Buses $=10\%$

$RVs=2\%$

Base Free Flow Speed $($BFFS$)=113k\frac{m}{h}$

Lane width $=3\mathrm{.}66m$

Terrain $=$ level

Right$-$Shoulder Lateral Clearance $=1\mathrm{.}83m$

Interchange spacing $=4\mathrm{.}8km($no interchanges within the section$)$

Driver population adjustment factor $f_p=1\mathrm{.}0[10$ marks$]$

$v_p=\frac{V}{(PHF)(N)(f_p)(f_{HV})}$

$f_{HV}=\frac{1}{1+P_T(E_T-1)+P_R(E_R-1)}$

$FFS=BFFS-f_{LW}-f_{LC}-f_N-f_{ID}$

$S=FFS-[\frac{1}{9}(7FFS-544)(\frac{v_p+18\mathrm{.}6FFS-3400}{25FFS-1700}{)}^{2\mathrm{.}6}]$

Table $5\mathrm{.}1$ Passenger$-$Car Equivalents for Trucks and Buses $(E_T)$ and RVs $(E_R)$ on General

Highway Segments: Multilane Highways and Basic Freeway Sections

$\backslash$table$[[$Factor$,$Type of Terrain$],[$Level$,$Rolling,Mountainous$],[\backslash$table$[[\backslash$table$[[E_T($trucks and buses$)],[E_R($RVs$)]]]],1\mathrm{.}5,\backslash$table$[[2\mathrm{.}5]],4\mathrm{.}5],[$Table $5\mathrm{.}2$ Adjustment $(f_{Lw})$ for Lane Width$],[$Lane Width $(m),$Reduction in FFS$,f_{Lw}(k\frac{m}{h}),],[3\mathrm{.}66,0\mathrm{.}0,,],[3\mathrm{.}36,3\mathrm{.}0,,],[3\mathrm{.}05,10\mathrm{.}6,],[$Table $5.\frac{3\mathrm{.}05}{3\text{A}\text{d}\text{j}\text{u}\text{s}\text{t}\text{m}\text{e}\text{n}\text{t}(f_{LC})\text{f}\text{o}\text{r}\text{R}\text{i}\text{g}\text{h}\text{t}-\text{S}\text{h}\text{o}\text{u}\text{l}\text{d}\text{e}\text{r}\text{L}\text{a}\text{t}\text{e}\text{r}\text{a}\text{l}\text{C}\text{l}\text{e}\text{a}\text{r}\text{a}\text{n}\text{c}\text{e}}$