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Capacity Analysis of Basic Freeway Sections Chapter 12 Continued

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Downgrade is treated like level terrain (grade is 4% or less) c(T)=2000/ET=2000/6=333trucks/hr ... SF-downgrade=4100/.9=4556 vph % trucks = 15 ... – PowerPoint PPT presentation

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Title: Capacity Analysis of Basic Freeway Sections Chapter 12 Continued


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  • Capacity Analysis of Basic Freeway Sections
    (Chapter 12 Continued)
  • Problem 12-1
  • 4-lane freeway, rolling terrain, 60mph design
    speed, 11ft lane with obstructions on both sides
    at an average distance2.0 feet
  • 10 trucks, 3 RV, and 2 Buses

4
  • PHF0.95
  • c2,000 pcphpl
  • v/c1.00(E), .84(D), .69(C), .49(B)
  • N2, fw.91 (table 12-3), fp1.00
  • ET4, EB3, ERV3 (table 12-5)
  • fHV0.71
  • SFB2000(.49)(2)(.91)(1)(.71) 1274 vph

5
  • SFc2000(.69)(2)(.91)(1)(.71) 1794 vph
  • SFD2000(.84)(2)(.91)(1)(.71) 2184 vph
  • SFE2000(1.0)(2)(.91)(1)(.71) 2600 vph
  • LOS A is not possible for highways with 60 mph
    design speed

6
  • To convert peak 15-minute flows to peak-hour
    flows, multiply by PHF
  • SVB(1274)(.95)1210 vph
  • SVC(1794)(.95)1704 vph
  • SVD(2184)(.95)2075 vph
  • SVE(2600)(.95)2470 vph
  • Comparing these criteria with given demand
    volumes
  • 1,800 vph(D), 2,200 (E), 2,800(F)

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  • Problem 12-2
  • Solve the service flow equation for the effective
    v/c ratio
  • v/cSF/(c)(N)(fw) (fp) (fHV)
  • fHV1/1.1(5-1).71 for upgrade
  • fHV1/1.1(1.7-1).93 for level
  • v/c4000/(2000)(3)(1) (1) (.71).93 upgrade,
    LOS D
  • v/c4000/(2000)(3)(1) (1) (.93).71 Level, LOS
    C

8
  • Densities for LOS CD are 2641
  • Adjust. needed to reflect trucks
  • 26.10(1.7)D.9(1)D1.07D
  • D(level)26/1.0724.03 vpmpl
  • 41.10(5)D.9(1)D1.4D
  • D(upgrade)41/1.429.3 vpmpl
  • FSD, S(level)4000/(24.03)(3)55mph
  • S(upgrade)4000/(29.3)(3)46mph

9
  • Problem 12-3
  • The avge. grade tot. rise/tot. run
  • Grade Run Rise
  • 0.03 2,640 79.2
  • 0.05 5,280 264.0
  • 0.04 2,640 105.6
  • 0.02 2,640 52.8
  • 0.03 5,280 158.4
  • 0.05 2,640 136.0
  • Total 21,120 792.0

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  • Avge. grade(792/21120)1004
  • Part b Figure 12-3, at end of composite grade,
    trucks are going at 27 mph,and that is equv. to
    4.9
  • part c ET7 (15 trucks, 5 grade of 1.5 miles)
  • ERV4 (5 RVs)
  • fHV1/1.15(7-1).05(4-1)0.49

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  • Problem 12-4
  • Improvement of 4-lane with ideal geometric to a
    6-lane with less than ideal
  • c2,000, N2, fw1(ideal), fw.91(3 12ft lanes, 0
    ft clearance), fw.89(3 11ft lanes, 1.5ft
    clear.), fw.86(3 10ft lanes, 3.0ft clear. ),
  • ET1.7 EB1.5, fHV0.91, fp1.0

12
  • c(exs)2000(1)(2)(1)(1)(.91)3653
  • c(12-ft lanes) 4986
  • c(11-ft lanes) 4877
  • c(10-ft lanes) 4712
  • Recommend building the 3 12-ft lanes with no
    clearance. This decision is based on capacity.
    Safety should be considered.

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  • Problem 12-5
  • A design application in rural area with high
    truck traffic
  • The upgrade composite grade analysis indicated
    that minimum truck speed is reached at the end of
    the 6 grade, 1.5 miles from the beginning of the
    grade

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  • NSF/(c )(v/c)i (fw) (fp) (fHV)
  • SF1500/.91667, c2000, v/c.77(C), fw 1, fp
    .9
  • ET4, rolling14, upgrade 7, down
  • ERV3, rolling 4, upgrade 2, down
  • EB3, rolling5.5, upgr. 2.75, down
  • fHV-rolling0.54
  • fHV-upgrade0.18
  • fHV-downgrade0.47

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  • N(rolling)2.2 lanes
  • N(upgrade)6.7 lanes
  • N(downgrade)2.53 lanes
  • To attain LOS C, both rolling and downgrade
    require 3 lanes, while upgrade requires 7
    lanes!!!!
  • Truck climbing lane may solve this problem

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  • v/c1667/2000(4)(1)(.9)(.18) 1.28
  • This would still result in failure of the upgrade
    section. If N 2 lanes
  • v/c1667/2000(5)(1)(.9)(.18) 1.06 still
    failure!
  • To reduce the severity of the upgrade lower
    longer grades,or alter traffic mix (is it
    possible?)

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  • Problem 12-6
  • Operational analysis problem.
  • v/c(4400/.95)/2000(3)(1)(1)(.97) 0.80?LOS(D),
    D30 pcpmpl
  • convert density to vpmpl
  • 30.05(1.7)D.95(1)D1.04D
  • D29 vpmpl ?SF/D S(4400/.95)/(29)(3)53 mph

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  • Problem 12-8
  • Special procedure for truck climbing lanes
  • determine LOS for truck lane and compare to LOS
    for other lanes(trial and error process)
  • Downgrade is treated like level terrain (grade is
    4 or less)
  • c(T)2000/ET2000/6333trucks/hr

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  • Facility operate close to capacity, and the truck
    lane will carry 333 trucks/hr during the peak 15
    min.
  • Total truck traffic4100(.15)615
  • flow rate during peak615/.9683
  • remaining trucks in mixed traffic 683-333350
    trucks/hr
  • SF-up(4100/.9)-3334223 vph

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  • trucks(352/4223)(100)8
  • SF-downgrade4100/.94556 vph
  • trucks 15
  • v/c-up4223/2000(3)(1)(1)(.69) 1.01
    (barely fails)
  • v/c-down4556/2000(3)(1)(1)(.9) .84 (LOS D)
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