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From page 31...
... 31 Chapter 2 – Draft Highway Safety Manual Text 2.1 Overview This chapter presents the predictive method for urban freeways with part-time shoulder use (PTSU)
From page 32...
... 32 The predictive method described in this chapter is used to evaluate a freeway facility with a PTSU lane serving the subject direction of travel. This facility can represent an existing freeway, a design alternative for an existing freeway, or a new freeway.
From page 33...
... 33 and possible injury C In this document, a "FI crash" is any crash designated has having a K, A, B, or C severity level.
From page 34...
... 34 point (as shown in Figure 8b)
From page 35...
... 35 Table 3 identifies the site, crash type, and severity configurations for which SPFs have been developed. Table 3.
From page 36...
... 36 type distributions are presented in Section 2.8.4. Guidance for establishing the value of the calibration factor is described in Section 2.10.
From page 37...
... 37 Figure 3. The HSM predictive method.
From page 38...
... 38 to include a very long corridor for the purposes of network screening (as discussed in HSM Chapter 4)
From page 39...
... 39 recorder data or estimated by a sample survey. For a future period, the AADT volume may be a forecast estimate based on appropriate land use planning and traffic volume forecasting models.
From page 40...
... 40 Step 4 -- Determine geometric design features, traffic control features, and site characteristics for all sites in the project limits. A range of data is needed to apply a predictive model.
From page 41...
... 41 SPF with which it is used (unless indicated otherwise in the AF description)
From page 42...
... 42 distributions are presented in Sections 2.7.4 and 2.8.4. The distributions can provide a more reliable indication of local crash characteristics if they are updated based on local data as part of the calibration process.
From page 43...
... 43 Ne,en(i) ,at,as,j = expected average crash frequency of ramp entrance speed-change lane site i for year j (includes all crash types at and all severities as)
From page 44...
... 44 freeway adjacent to the speed-change lane. The predictive models are limited to freeways with two to seven lanes.
From page 45...
... 45 Figure 5. Freeway speed-change lane length.
From page 46...
... 46 Figure 6. Measurement of cross section data elements.
From page 47...
... 47 distance is equal to 0.0 mi. If the ramp does not exist or is located more than 0.5 mi from the segment, then this distance can be set to a large value (e.g., 999)
From page 48...
... 48  Clear zone width -- This width is measured from the edge of traveled way to the typical limits of vertical obstruction (e.g., non-traversable slope, fence line, utility poles) along the roadway.
From page 49...
... 49  Entrance ramp AADT volume, Exit Ramp AADT volume -- The annual average daily traffic volume of the ramp. The evaluation of a freeway segment requires the nearest upstream entrance ramp AADT volume (if within 0.5 miles of the segment)
From page 50...
... 50 In Figure 10c, the site is shown as a freeway segment between two PTSU lanes. Its length is shown to include two transition zones.
From page 51...
... 51 Popen, wkday,j = proportion of hour j that PTSU is operating during typical weekday of year; and Popen, wkend,j = proportion of hour j that PTSU is operating during typical weekend day of year.
From page 52...
... 52 The predictive model for speed-change lane sites estimates the average frequency of crashes that are associated with the presence and operation of the speed-change lane. These crashes occur in Region A of Figure 13 (this region is defined by the gore point and the taper point)
From page 53...
... 53 new site if the rounded value for the current point changes from that of the previous point (e.g., from 6 to 7 ft)
From page 54...
... 54 a. Add PTSU lane.
From page 55...
... 55 Guidance regarding the location of the lane, shoulder, and median width measurement points is provided in the text associated with Figure 6. Each width represents an average for the site.
From page 56...
... 56 Table 4. SPFs for freeway segments.
From page 57...
... 57 which these SPFs are applicable is shown in Table 6. Application of the SPFs to segments with AADT volume substantially outside these ranges may not provide reliable results.
From page 58...
... 58 Table 7. SPF coefficients for freeway segments.
From page 59...
... 59  SPF for fatal-and-injury crashes (fs, at, fi)  SPF for property-damage-only crashes (fs, at, pdo)
From page 60...
... 60 AF3,fs,at,z -- Inside Shoulder Width Two AFs are used to describe the relationship between average inside shoulder width and predicted crash frequency. The SPFs to which they apply are identified in the following list:  SPF for fatal-and-injury crashes (fs, at, fi)
From page 61...
... 61 Pib = proportion of site length with a barrier present in the median (i.e., inside) ; Wicb = distance from edge of inside shoulder to barrier face (ft)
From page 62...
... 62 Table 12. Coefficients for median barrier AF -- freeway segments.
From page 63...
... 63 AADTe,ext = AADT volume of exit ramp located at distance Xe,ext downstream of the subject segment (veh/day) ; Xb,ent = distance from segment begin milepost to nearest upstream entrance ramp gore point (mi)
From page 64...
... 64 The base condition is "no outside shoulder rumble strips present" (i.e., Por = 0.0)
From page 65...
... 65 Table 14. Coefficients for outside clearance AF -- freeway segments.
From page 66...
... 66 Equation 37 𝐴𝐹 , , , 1.0 𝑃 1.0 𝑃 exp 𝑎/𝑛 with Equation 38 𝑃 𝐿 , /𝐿 , where AF12,fs,at,z = adjustment factor for turnout presence in a freeway segment; for all crash types and severity z; Ls,fs = length of freeway segment (mi) ; Lturnout,fs = length of turnout within segment (i.e., between segment begin and end mileposts)
From page 67...
... 67 AF13,fs,at,z = adjustment factor for PTSU operation in a freeway segment; for all crash types and severity z; IptsuLane = indicator variable for PTSU lane presence (= 1.0 if PTSU lane is present [Wptsu,s > 0] , 0.0 otherwise)
From page 68...
... 68 The general form for the severity distribution prediction equation for freeway segments is shown in the following equation. Equation 45 𝑁 , , , 𝑁 , , , 𝑃 , , where Np,fs,at,j = predicted average crash frequency of a freeway segment; for all crash types at and severity level j (j = K: fatal, A: incapacitating injury, B: non-incapacitating injury, C: possible injury)
From page 69...
... 69 This SDF is applicable to Phv, Pib, and Pob values in the range of 0.0 to 1.0. Guidance for computing the variables Pib and Pob is provided in Section 2.9.
From page 70...
... 70 Table 18. Default distribution of crashes by crash type for freeway segments.
From page 71...
... 71 Table 19. SPFs for speed-change lanes.
From page 72...
... 72 6. The SPFs are applicable to ramp AADT volume up to 30,700 veh/day.
From page 73...
... 73 a. Fatal-and-injury crash frequency.
From page 74...
... 74 AADTf = one-directional AADT volume of freeway in speed-change lane site (veh/day) ; Ls,ex = length of ramp exit speed-change lane site (≤ length of ramp exit speed-change lane, as measured from gore point to taper point)
From page 75...
... 75 2.8.2. SPF Adjustment Factors for Speed-Change Lanes with PTSU The AFs for geometric design and traffic control features of speed-change lane sites are presented in this section.
From page 76...
... 76 AF2,w,at,z = adjustment factor for lane width at a speed-change lane site; for site type w (w = en: entrance ramp speed-change lane; ex: exit ramp speed-change lane) , all crash types, and severity z; and Wl = through lane width (ft)
From page 77...
... 77  SPF for fatal-and-injury crashes, ramp entrance (en, at, fi)  SPF for property-damage-only crashes, ramp entrance (en, at, pdo)
From page 78...
... 78 Wicb ranges from 0.75 to 20 ft. The width of the PTSU lane is 16.8 ft or less.
From page 79...
... 79 AF6,w,at,fi = adjustment factor for rumble strips on the inside shoulder of a speed-change lane site; for site type w (w = en: ramp entrance speed-change lane; ex: ramp exit speed-change lane) , all crash types, and fatal-and-injury fi crashes; n = number of through lanes within site; and Pir = proportion of site length with a rumble strips present on the inside shoulder.
From page 80...
... 80 Table 28. Coefficients for PTSU operation AF -- speed-change lanes.
From page 81...
... 81  SPF for fatal-and-injury crashes, ramp exit (ex, at, fi)  SPF for property-damage-only crashes, ramp exit (ex, at, pdo)
From page 82...
... 82 Pw,at,j = proportion of crashes with severity level j (j = K: fatal, A: incapacitating injury, B: nonincapacitating injury, C: possible injury) for all crash types at on site type w (w = en: ramp entrance speed-change lane; ex: ramp exit speed-change lane)
From page 83...
... 83 Table 31. Coefficients for severity distribution function -- speed-change lanes.
From page 84...
... 84 Table 32. Default distribution of crashes by crash type for speed-change lanes.
From page 85...
... 85 2.9. Supplemental Calculations to Apply SPF Adjustment Factors Some of the AFs in Section 2.7.2 and Section 2.8.2 require the completion of supplemental calculations before they can be applied.
From page 86...
... 86 The summation term "∑" in parentheses in Equation 92 applies to short lengths of barrier in the median that are located between the shoulder and continuous barrier. It indicates that the ratio of barrier length Lib,i to clearance distance (= Woff,in,i –Wptsu,s –Wis,s)
From page 87...
... 87 Iptsu,s,o = indicator variable for PTSU lane location in the subject travel direction (= 1.0 if outside shoulder is allocated to part-time vehicular traffic use at any time of the day; otherwise 0.0)
From page 88...
... 88 Table 33. Crash frequency predictive models with a calibration factor.
From page 89...
... 89 2.11. Limitations of Predictive Method This section discusses limitations of the predictive models described in this chapter.
From page 90...
... 90 immediate vicinity of a toll plaza, (b) is widened to accommodate vehicle movements through the toll plaza, (c)
From page 91...
... 91 freeway segment. Sample Problem 2 illustrates how to calculate the predicted average crash frequency for a ramp entrance speed-change lane.
From page 92...
... 92  Downstream exit ramp is 0.30 miles from the segment and has an AADT volume of 7600 veh/day (Xe,ext = 0.30; AADTe,ext = 7600) ; as shown in Figure 19.
From page 93...
... 93 Step 10 -- Multiply the result obtained in Step 9 by the appropriate AFs. The AF's in the predictive model equation for freeway segments are described in this step.
From page 94...
... 94 The AF for PDO crashes is computed using the same equation but with a different coefficient. This AF is computed as AF4,fs,at,pdo = 1.056.
From page 95...
... 95 𝐴𝐹 , , , exp 𝑎𝑛 min 𝑊 , 12 10 The segment has 3 through lanes. The coefficient a is obtained from Table 13.
From page 96...
... 96 The 0.10-mi turnout is located wholly within the length of the 0.50-mi segment. Based on the guidance in Figure 11, "length of turnout within the segment" Lturnout,fs is equal to the total turnout length.
From page 97...
... 97 1.318 The coefficient d is obtained from Table 17. It equals 1.305 for FI crashes.
From page 98...
... 98 Apply the site-specific EB method to a future time period, if appropriate. The site-specific EB method is not applied in this sample problem.
From page 99...
... 99 𝑆 , , exp 2.128 𝑓 , , , 𝑓 , , 𝑓 , , 0.119 0.795 0.905 0.958 0.0821 𝑆 , , exp 0.126 𝑓 , , , 𝑓 , , 𝑓 , , 0.882 0.795 0.905 1.006 0.6381 The fifth step is to compute the proportion of crashes with severity level j. The proportions are computed using Equation 46 to Equation 49.
From page 100...
... 100 Apply the crash type distribution, if desired. The first step in applying the crash type distribution proportions is to select the desired crash type proportion from Table 18.
From page 101...
... 101 AF value of 0.954 suggests that FI crash frequency is 4.6 percent lower on a segment with a turnout present, relative to a segment without a turnout. The outside shoulder width AF value of 1.131 suggests that the 1-ft outside shoulder is associated with a 13.1 percent increase in FI crash frequency, relative to a segment with a 10-ft outside shoulder.
From page 102...
... 102  No rumble strips on inside shoulder.  Continuous median barrier; 10-ft offset from edge of traveled way to barrier face.
From page 103...
... 103 AF3,en,at,z -- Inside Shoulder Width The subject site has 6.0-ft paved inside shoulders, which is the base condition for the inside shoulder width AF. Hence, AF3,en,at,fi and AF3,en,at,pdo are equal to 1.000.
From page 104...
... 104 AF13,en,at,z -- PTSU Operation The PTSU operation AF is computed using Equation 70. This equation is repeated below.
From page 105...
... 105 The site is located within a 0.25-mi speed-change lane. The coefficient a is obtained from Table 29.
From page 106...
... 106 Apply the severity distribution, if desired. The severity distribution is not needed for this evaluation.

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