Geometric Design Guide for Canadian Roads
Figure 2.1.4.12 Examples of Good and Poor Alignment Coordination and Aesthetics ...... 2.1.4.15 Figure 2.1.5.1 False Grading and Cross-Slopes ...... 2.1.5.3 Figure 2.1.5.2 Application of Cross-Slope on Various Types of Roads ...... 2.1.5.4 Figure 2.1.5.3 Maximum Algebraic Difference in Pavement Cross-Slope of Adjacent Traffic Lanes ...... 2.1.5.7 Figure 2.1.6.1 Schematic of Basic Number of Lanes ...... 2.1.6.1 Figure 2.1.6.2 Typical Examples of Lane Balance...... 2.1.6.3 Figure 2.1.6.3 Coordination of Lane Balance and Basic Lanes ...... 2.1.6.4 Figure 2.1.6.4 Typical Express Collector System ...... 2.1.6.6 Figure 2.1.7.1 Illustration of Route Continuity ...... 2.1.7.2 Figure 2.1.7.2 Examples of Lane Continuity ...... 2.1.7.3 Figure 2.1.7.3 Types of Weaving Sections ...... 2.1.7.5 Figure 2.1.7.4 Solutions for Undesirable Weaving ...... 2.1.7.6 Figure 2.1.7.5 Method of Measuring Weaving Lengths ...... 2.1.7.7 Figure 2.1.8.1 Collision Involvement Rate for Trucks ...... 2.1.8.2 Figure 2.1.8.2 Performance Curves For Heavy Trucks, 120 g/W, Decelerations & Accelerations ...... 2.1.8.4 Figure 2.1.8.3 Performance Curves for Heavy Trucks, 180 g/W, Decelerations & Accelerations ...... 2.1.8.5 Figure 2.1.8.4 Performance Curves for Heavy Trucks, 200 g/W, Decelerations & Accelerations ...... 2.1.8.6 Figure 2.1.8.5 Climbing Lanes Overlapping on Crest Curve ...... 2.1.8.10 Figure 2.1.8.6 Climbing Lane Design Example ...... 2.1.8.11 Figure 2.1.9.1 Typical Passing Lane Layout ...... 2.1.9.2 Figure 2.1.9.2 Typical Traffic Simulation Output of Percent Following and Correlation with Level of Service ...... 2.1.9.4 Figure 2.1.9.3 Alternative Configurations for Passing Lanes ...... 2.1.9.5 Figure 2.1.10.1 Forces Acting on Vehicle in Motion...... 2.1.10.2 Figure 2.1.10.2 Basic Types of Designs of Truck Escape Ramps ...... 2.1.10.4 Figure 2.1.10.3 Typical Layout of Truck Escape Ramp ...... 2.1.10.8 Figure 2.1.10.4 Typical Cross Section of Truck Escape Ramp ...... 2.1.10.8
December 2009 Page 2.1.v Alignment and Lane Configuration
Page 2.1.iv September 1999 Geometric Design Guide for Canadian Roads utilized beyond which the lateral friction is kept generally accustomed to using more lateral constant and superelevation is increased rapidly friction when manoeuvring through to maximum. This form of distribution is referred intersections. to as “Method 2” in AASHTO and is used in some urban areas. This method is particularly Urban Roadways: Design Domain advantageous on low speed urban streets Quantitative Aids where, because of various constraints, superelevation frequently cannot be provided. Figure 2.1.2.5 illustrates an alternative method for urban use for applying superelevation over Rural & High Speed Urban Applications: a range of radii. This method, for urban Design Domain Quantitative Aids conditions, is based on retaining normal crown until a lateral friction factor of 0.05 is required, Based on the described distribution method at which point reverse crown is introduced. This (Method 5), the recommended superelevation friction factor is approximately equivalent to rate for various radii from 7000 m to the roadway icing conditions. An assumed minimum radius, for each design speed and for operating speed of 10 km/h above design speed superelevation rates of 0.04 m/m, 0.06 m/m, is used in the derivations to introduce the safety and 0.08 m/m have been developed. Also factor for overdriving or adverse pavement included are the spiral parameters applicable conditions. Figure 2.1.2.5 illustrates the to rural and high speed urban roadways (spiral derivation of these values for a design speed parameters will be addressed later in this of 50 km/h, and maximum superelevation Section). These values are illustrated in values of 0.04 m/m and 0.06 m/m. Tables 2.1.2.5 to 2.1.2.7 and are based on relationships presented in a 1974 publication31. For this alternative design method the minimum radius in reverse crown is determined by Urban Roadways: Design Domain distributing the lateral friction coefficients in a Technical Foundation rate proportional to the inverse of the radius. The linear distribution occurs between the Tables 2.1.2.5 to 2.1.2.7 indicating the amount lateral friction coefficient at the inverse of the of superelevation for various radii are based on minimum radius for normal crown, calculated relatively low lateral friction values which as noted above, and the maximum lateral give high superelevation rates. These friction coefficient of the inverse of the minimum superelevation rates and spiral parameters are radius corresponding to full superelevation. appropriate for rural roadways and higher speed Because a unique minimum radius corresponds urban roadways where intersections are widely to each of the two full superelevation rates, spaced and access is restricted. For other urban +0.04 m/m and +0.06 m/m, the proportional situations higher rates of superelevation are distribution produces different values for often not attainable due to constraints such as minimum radius at reverse crown. access requirements, elevations of the adjacent properties, drainage considerations, the profiles This alternative method provides superelevation of intersecting streets and limiting slopes on rates between the rural and urban high speed boulevards and sidewalks. values, and the low speed urban values described earlier. Table 2.1.2.4, Table 2.1.2.8 An alternative method for selecting and Table 2.1.2.9 reflect this alternative design superelevation rates under low speed urban method for selecting superelevations over a design conditions is to use higher lateral friction range of radii from 20 m to 7000 m. This values, thereby reducing the superelevation provides the designer with a consistent means requirements. These superelevation rates are of selecting superelevation applicable to most illustrated in Figure 2.1.2.4 and generally apply urban conditions. Table 2.1.2.4 was discussed to roadways through intersection areas where earlier under minimum radius, and Tables design constraints are numerous and limiting 2.1.2.8 and 2.1.2.9 provide superelevation rates superelevation offers operational advantages for varying speeds and radii using the urban for turning or crossing traffic. Drivers are method described above. Table 2.1.2.8 is for
September 1999 Page 2.1.2.11 Alignment and Lane Configuration lane lane lane lane / Radius 1 2 is spiral parameter in metres is superelevation below the dashed line, use 4 lane values x 1.15. For 6 lane pavement: above the dashed line use 4 lane values, A divided road havingtreated a median as less a single than pavement. 3 m wide may be e A NC is normal cross section RC is remove adverse crownSpiral and length, superelevate L at = normal A2Spiral rate / parameters Radius are minimum and higher values may be used is spiral parameter in metres is superelevation, m/m = 0.04 m/m • • • • • • • • •
A
e NC is normal cross section RC is remove adverse crown and superelevate at normal rate Spiral length, L = A Spiral parameters are minimum and higher values by be used For 6 lane pavement: above the dashed line use 4 values, A divided road having a median less than 3.0 m wide may be max Notes: • • • • • • • • below the dashed line, use 4 lane values x 1.15. treated as a single pavement. =0.04
max
e AAAAAAA A A 24 e 24 e24e 24 e 24 e 2 4 e 2 4 lane lane lane lane lane lane lane lane lane lane 40 50 60 70 80 90 100 min R = 60 e 0.040 50 50 908070 0.03660 0.038 50 0.040 50 0.040 50 50 50 50 0.040 50 70 50 min R = 100 70 (m) 900800700 NC600 NC500 NC400 NC350 NC300 RC250 RC220 95 RC200 NC 90 RC180 NC 95 80 RC160 RC 0.021 90 75 RC140 0.023 RC 80 70 65 140 0.020120 RC 0.025 75 130 65 0.023 105100 140 100 0.028 70 65 120 60 0.026 130 0.031 105 90 100 65 55 RC 0.029 0.031 120 0.034 85 60 RC 0.025 50 RC 0.027 0.033 90 80 0.021 150 75 55 RC 50 115 0.035 110 175 85 140 70 55 130 150 0.031 115 0.037 80 165 110 75 175 70 50 140 130 0.020 0.034 100 0.039 0.031 70 165 0.033 70 0.023 0.036 0.038 0.026 RC 165 0.040 100 90 70 125 70 120 0.039 RC 155 140 90 90 0.036 70 165 70 190 90 125 0.040 120 70 90 155 110 140 180 90 90 0.040 0.026 190 0.038 90 70 0.037 0.039 110 90 0.029 180 0.033 0.039 0.040 90 175 110 0.021 135 90 135 min 0.040 165 110 0.040 R 110 150 0.023 = 175 110 150 90 200 135 135 110 165 110 135 110 150 190 0.032 0.040 200 0.040 min 110 0.040 R 135 = 0.035 190 0.038 200 185 135 0.027 160 160 175 160 0.029 min R 135 185 210 = 280 160 160 175 200 160 min R 0.036 210 = 380 0.040 0.039 200 0.040 200 0.032 190 190 min 190 R 0.034 = 200 225 490 190 190 210 190 225 210 Notes: 700050004000 NC3000 NC2000 NC1500 NC1200 NC1000 NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC RC NC NC 180 NC 180 NC NC RC RC 200 RC 240 200 215 240 NC 0.020 215 NC NC RC 210 NC RC 210 RC 260 230 0.025 260 300 230 225 300 RC 0.021 NC 225 NC RC 275 245 0.030 NC 275 245 NC 235 315 0.022 0.026 235 315 290 260 RC 290 260 NC 335 NC 335 NC RC 410 410 Speed (km/h) Radius Design Table 2.1.2.5 Table Parameters, e Superelevation and Minimum Spiral
Page 2.1.2.12 December 2009 Geometric Design Guide for Canadian Roads 1 0.022 / Radius m/m 2 = 0.06 m/m 0.048 0.051 0.026 0.032 0.038 0.043 0.045 max is spiral parameter in metres is superelevation 390 300 270
e A NC is normal cross section RC is remove adverse crownSpiral and length, superelevate L at = normal A Spiral rate parameters are minimum andFor higher 6 values lane may pavement: be above used below the the dashed dashed line line, use useA 4 4 divided lane lane road values, values having xas a 1.15. median a less single than pavement. 3.0 m wide may be treated • • • • • • • • • Notes: =0.06
max
e lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane e AAAAAAAAAA 40 50 60 70 80 90 100 110 120 130 min R = 55 0.059 50 60 908070 0.051 5060 0.054 60 50 0.060 0.056 60 65 50 0.059 0.060 60 70 50 65 60 70 min R = 90 (m) lane lan 900800700 NC600 NC500 NC400 NC350 120 RC 120300 0.023 0.024 RC 100 125250 100 90 0.025 RC 0.027 150 125 90 0.021 120 90220 150 0.028 0.030 150 0.031 140 0.023 120 140 90200 150 100 80 0.031 0.034 175 140 0.034 140 0.025 100 0.027 125 80 100 75 175180 0.037 0.034 160 0.038 0.037 150 0.029 125 100 150 80160 160 115 70 0.036 0.041 180 150 90 0.041 0.040 150 0.031 120 0.034140 140 110 80 180 70 0.042 175 0.038 100 85 0.045 175 0.043 0.034 150 115 175 0.044 75 175 125120 60 0.040 0.046 200 175 0.048 80 0.045 90 100 175 0.036 135 0.039 150 120 200 75 60 0.043 0.048100 175 110 0.048 75 0.051 175 0.047 90 0.039 160 125 175 0.051 75 175 60 135 90 0.052 200 175 0.054 0.046 0.050 70 0.049 90 120 185 0.042 150 0.045 160 70 125 200 100 0.054 200 125 60 90 0.052 70 0.057 0.052 0.049 185 90 0.043 175 140 0.055 190 0.057 200 160 65 85 0.059 100 225 195 65 0.059 110 50 0.054 125 200 85 0.046 0.055 165 0.057 0.050 190 160 225 120 0.060 100 210 65 135 85 0.056 0.060 80 110 200 65 0.051 190 160 0.060 220 0.059 0.058 0.060 215 190 85 0.060 110 235 210 0.059 125 110 90 160 220 0.054 65 75 190 0.060 0.058 220 250 125 85 110 min 220 160 0.060 90 R 125 220 0.060 0.057 220 = 70 440 110 240 min 125 250 235 R min 90 = R 0.059 min min 110 750 = 0.060 R R 600 270 = = min 250 340 250 R 250 min 0.060 = R 190 260 = 280 260 130 300 min R = 950 70005000NCNCNCNCNCNCNCRC555555RC580580RC600600 4000 NC30002000 NC1500 NC1200 NC1000 NC NC NC NC NC NC NC NC NC NC RC NC 170 NC 170 0.021 NC 175 RC 175 NC 0.027 RC 225 200 225 200 200 NC 200 RC 0.032 0.023 200 NC 250 225 200 RC 250 225 0.037 0.024 0.028 225 275 250 225 225 NC 275 250 225 0.040 0.029 0.033 RC 235 270 240 NC 235 300 275 240 0.048 NC 300 0.029 0.034 245 0.023 290 260 255 300 290 260 0.054 350 0.036 0.043 260 NC 0.022 305 270 280 335 305 270 0.058 335 0.042 0.049 280 NC 0.029 315 285 300 350 315 RC 290 350 0.049 0.055 390 0.034 330 295 400 365 335 320 365 NC RC 0.040 380 410 380 RC 410 0.020 475 430 475 430 0.024 RC 450 NC 495 450 495 0.036 465 RC 465 515 515 0.023 540 RC 540 RC 710 710 Radius e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 Design Speed (km/h) Table 2.1.2.6 Table Parameters, e Superelevation and Minimum Spiral
DecemberSeptember 2009 1999 Page 2.1.2.13 Alignment and Lane Configuration / Radius 2 / Radius 2 1 is spiral parameter in metres is superelevation, m/m A e NC is normal cross section RC is remove adverse crown and superelevate at normal rate Spiral length, L = A Spiral parameters are minimum and higher values by be used For 6 lane pavement: above the dashed line use 4 values, A divided road having a median less than 3.0 m wide may be is spiral parameter in metres is superelevation below the dashed line, use 4 lane values x 1.15. treated as a single pavement. Notes: • • • • • • • • = 0.08 m/m treated as a single pavement.
e A NC is normal cross section RC is remove adverse crown andSpiral superelevate length, at L normal = rate A Spiral parameters are minimum andFor higher 6 values lane may pavement: be above used thebelow dashed the line dashed use line, 4 useA lane 4 divided values, lane road values having x a 1.15. median less than 3.0 m wide may be max Notes: • • • • • • • • •
max lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane lane AAAAAAAAAA e an 40 50 60 70 80 90 100 110 120 130 l min R = 50 0.080 50 60 908070 0.064 5560 0.067 70 5550 0.077 0.071 65 50 65 0.080 0.075 60 50 65 80 0.080 0.080 60 50 75 65 min 60 R = 120 75 min R = 80 (m) 900800700 NC600 NC500 NC400 RC350 0.021 120 100 120300 100 0.025 RC 0.026 0.030 90 0.020250 125 120 150 0.028 150 90 125 90 120 0.023220 150 150 0.031 0.034 0.035 0.039 140 0.025 90 0.027 80 140200 100 125 175 140 160 0.035 0.038 140 90 110 135180 0.030 75 175 160 100 0.042 0.045 0.048 150 0.039 0.042 0.032 0.035 150 85 105160 115 140 70 180 150 175 90 0.041 0.049 160 0.047 125 150 0.038 180140 80 70 175 110 0.050 100 0.054 0.044 0.056 165 85 0.039 0.042 165 0.051 80 125 0.053 65 125 150120 200 165 175 100 0.058 0.047 185 100 80 150 0.054 175 0.046 80 200 195 0.059 65 120 0.058 120 0.063100 0.064 175 0.051 0.046 80 100 0.049 0.057 100 175 150 0.063 135 80 160 65 200 190 0.062 200 120 0.067 200 75 120 0.055 100 165 200 0.053 0.060 220 75 220 0.069 95 125 0.067 60 0.065 140 0.071 0.073 185 0.051 0.055 75 110 190 95 0.064 160 0.061 0.072 160 190 90 75 110 225 200 210 135 0.075 225 55 125 0.068 70 0.073 185 215 0.061 240 0.069 90 235 110 0.078 160 150 110 0.080 0.77 200 70 90 0.062 0.80 0.066 0.075 125 70 0.072 175 90 0.080 190 125 235 230 220 220 0.074 110 150 220 105 0.080 160 85 0.080 200 0.076 0.072 275 250 85 270 125 0.080 0.078 190 65 250 175 125 220 0.071 0.080 85 100 0.075 160 110 0.080 200 150 250 260 250 0.080 250 min 80 175 120 R 100 min 85 = min 0.079 R min 110 300 285 530 R 295 = R 0.080 = 230 = 250 670 0.078 390 120 min 0.080 R 95 85 = 280 min 285 280 300 R min = R 0.080 170 330 = 330 830 95 280 300 700050004000 NC3000 NC2000 NC1500 NC1200 NC1000 NC NC NC NC NC NC NC NC NC NC NC NC RC NC 170 NC 170 0.023 NC 175 RC 175 0.029 NC RC 225 200 NC 225 200 200 0.021 0.036 NC 200 255 200 0.026 NC 260 220 200 0.027 RC 0.043 225 250 225 0.032 270 250 225 225 0.032 275 NC 0.047 225 270 0.021 240 0.038 NC 300 275 240 240 0.033 NC 300 0.057 240 290 0.026 250 NC 0.040 300 290 260 280 0.042 300 0.066 260 305 0.026 260 0.050 335 305 270 310 NC 0.050 335 0.074 285 315 0.033 NC 280 0.059 350 330 285 340 NC 0.058 350 320 330 0.040 RC 0.067 365 365 295 390 365 350 400 0.047 380 NC RC 380 RC 410 410 RC 0.023 480 430 480 430 0.028 RC 450 RC 495 450 0.033 495 RC 465 0.021 555 515 465 555 515 0.026 RC 540 580 540 580 RC 0.021 600 600 RC 710 710 Radius e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 e 2 3&4 Design (Speed km/h) Table 2.1.2.7 Table Parameters, e Superelevation and Minimum Spiral
Page 2.1.2.14 December 2009 Geometric Design Guide for Canadian Roads
9 Table 2.1.2.9 Superelevation Rate for Urban Design, emax= 0.06 m/m
Radius Design Speed (km/h) (m)30405060708090100 7000 NC NC NC NC NC NC NC NC 5000 4000 NC 3000 NC NC RC 2000 NC RC RC 1500 NC RC 1200 RC 1000 900 NC 800 RC RC 700 NC 0.025 600 RC RC 0.035 500 NC RC 0.030 0.048 400 RC 0.026 0.045 Min R=440 350 RC 0.035 0.056 300 0.025 0.045 Min R=340 250 RC 0.036 Min R=250 200 0.024 0.053 180 0.030 Min R=190 160 0.037 140 RC 0.046 120 0.026 Min R=120 100 0.036 90 0.043 80 RC 0.052 70 0.024 Min R=75 emax = 0.06 m/m 60 0.032 NC = normal crown (-0.02 m/m) 50 0.044 RC = reverse crown (+0.02 m/m) 40 RC Min R=40 30 0.030 20 0.056 Min R=20 min. radius for normal 420 660 950 1290 1680 2130 2620 3180 crown min. radius for reverse 40 80 135 220 330 450 600 770 crown
September 1999 Page 2.1.2.19 Alignment and Lane Configuration
On tight horizontal curves, stopping sight Because of the variance, providing specific distances may need to be increased to adjustments for radii other than minimum is compensate for increased braking distances difficult. Suggested approximate adjustments caused by lateral friction effects. are:
Design Domain Quantitative Aids: • for the lower range of assumed operating Stopping Sight Distance on Horizontal speeds from 40 km/h to 80 km/h and for Curves horizontal curves not exceeding 110% of the minimum radius curve, the stopping Table 2.1.2.10 shows the stopping sight sight distance in Table 1.2.5.3 should be distance while braking on a minimum radius increased by 3.0% curve. Values are provided for the higher and lower limits for each of the three values of • for the higher range of assumed operating maximum superelevation. Also included for speeds from 40 km/h to 120 km/h and for comparison purposes are the normal stopping horizontal curves not exceeding 110% of sight distances from Table 1.2.5.3. the minimum radius curve, the stopping sight distance in Table 1.2.5.3 should be The results of the calculations for stopping sight increased by 5.5% distance on minimum radius curves indicates that there is a large variance in the amount of If adjustments that are more precise than increase for the various conditions. outlined above are required, the designer should use the formulae provided in this Section. 1. The increase in stopping sight distance based on the lower range of assumed 2.1.2.3 Spiral Curves operating speeds (left columns in Table 2.1.2.10) vary from 0.3% to 4.2%. Introduction
2. The increase in stopping sight distance A spiral curve is a curve with a constantly varying based on the upper range of assumed radius. The purpose of a spiral curve is to operating speeds (right columns in Table provide smooth transition and a natural driving 2.1.2.10) vary from 3.2% to 8.8%. path between a tangent and a circular curve.
Table 2.1.2.10 Calculated Stopping Sight Distance on Minimum Radius Curves
Design Assumed Normal Stopping Calculated Stopping Sign Distance on Speed Operating Sight Distance Minimum Radius Curves (m) (km/h) Speed (km/h) Table 1.2.5.3 (m) e = 0.04 e = 0.06 e = 0.08
40 40 45 46 46 46 50 47-50 60-65 60-66 60-66 60-66 60 55-60 75-85 77-90 77-90 77-90 70 63-70 95-110 98-120 97-120 97-120 80 70-80 115-140 117-152 116-152 116-151 90 77-90 130-170 135-180 134-180 134-181 100 85-100 160-210 161-219 160-218 160-219 110 91-110 180-250 181-259 181-259 120 98-120 200-290 205-302 204-301 130 105-130 230-330 229-338 229-338
Page 2.1.2.20 December 2009 Geometric Design Guide for Canadian Roads
Because spiral curves provide a natural path for radius of curve at a distance L from the beginning the motorist to follow, centrifugal forces increase of spiral ( Rα 1/L ). and decrease gradually as the vehicle enters and leaves the circular portion of the curve. This A2 = RL (2.1.8) minimizes encroachment upon adjoining traffic lanes, promotes speed uniformity, and increases safety. Where A is a constant called the spiral parameter and has units of length. A spiral curve provides a convenient and desirable arrangement for developing superelevation runoff. All clothoid spirals are the same shape and vary A change from normal crown to a fully only in their size. The spiral parameter is a superelevated cross section is applied along the measure of the flatness of the spiral, the larger spiral curve length. Where the pavement section the parameter the flatter the spiral. is widened around a circular curve, the spiral facilitates the transition width. Spiral curves also A spiral curve in which one end of the spiral enhance the roadway appearance because there has a radius of infinity is referred to as a simple are no noticeable breaks in the alignment. spiral and one in which the radii at both ends are less than infinity is referred to as a On rural roads, spiral curves should be utilized segmental spiral. An example of a segmental on new construction if the circular curves are spiral is a spiral between two circular curves of superelevated. Some exceptions can be made different radii but in the same direction. A simple with curves substantially flatter than the spiral is designated by its parameter and its end minimum required for the design speed. Also, radius. A segmental spiral is designated by its when appropriate, simple curves may be used parameter and its two end radii. on existing paved roads to avoid the need to make minor realignments. The Spiral Parameter: Technical Foundation
On urban roads, the incorporation of spiral Spiral parameters can be developed based on curves into horizontal main line alignment three criteria: design is normally limited to major arterials, expressways and freeways, where higher • the maximum permissible rate of change design speeds are used. Spiral curves are of centripetal acceleration (which typically only applied to roadways with design expresses comfort) speeds of 70 km/h and higher, and where superelevation of the circular curves is • superelevation runoff desirable. Spiral curves are also used in the design of interchange ramps. Where these • aesthetics roadway facilities have curbs, the use of spiral curves allows vehicles to negotiate the Figure 2.1.2.7 illustrates the conceptual results alignment at a constant offset from the curb, of these means of deriving the spiral parameter, thus increasing driver comfort. For low speed and the basis for each of these methodologies urban design and retrofit situations, spiral is discussed in depth following this Figure. curves are not typically used. The minimum spiral requirement for design is Overview: Technical Foundation the highest of the three values and for the smaller radii the comfort criterion controls, for The spiral form most commonly used for road the next larger set of radii the superelevation design is the clothoid, which, expressed runoff criterion controls, and for the larger radii mathematically, has the relationship where R the aesthetic criterion controls. varies with the reciprocal of L, where R is the
DecemberSeptember 2009 1999 Page 2.1.2.21 Alignment and Lane Configuration
Figure 2.1.2.7 Basis for Spiral Parameter Design Values1
Spiral Parameter Based on Comfort v 2 Centripetal acceleration is: R A vehicle travelling along a circular curve Where R is the radius (m) experiences centripetal acceleration. As the v is the speed (m/s) vehicle is moving from a tangent direction to a circular curve path, the radius of curvature Rate of change of centripetal acceleration is: decreases from infinity to that of the circular curve. During this time the centripetal v 2 acceleration is increasing from zero to a c = (2.1.9) constant. The rate of change of acceleration is Rt high if the transition length is short and low if it is long. The rate of change of centripetal Where t is travel time (s) acceleration is a measure of discomfort to the L t = vehicle occupants. If the transition length is v (2.1.10) short the vehicle occupants will experience a jerk. Lower values of acceleration and Where L is length of curve (m) corresponding long transition are preferred. v 3 c = (2.1.11) One of the purposes of the spiral is to provide a A 2 length over which the driver can effect a change in curvature of the travelled path so as to v1.5 A = (2.1.12) position the vehicle centrally within the lane. For c 0.5 comfort therefore the spiral curve should provide sufficient length to allow a smooth increase in radial acceleration.
Page 2.1.2.22 September 1999 Geometric Design Guide for Canadian Roads
If A is stated in metres, speed v in kilometres Table 2.1.2.11 Maximum Super- per hour and c in metres per second cubed, the elevation Runoff expression becomes: Between Outer 0.1464V 1.5 Edge of Pavement A = (2.1.13) c 0.5 and Centreline of Two-Lane Roadways Tolerable rate of change of centripetal acceleration varies between drivers. As a basis Design Speed Superelevation Runoff of design, the value used to provide minimum (km/h) (%) acceptable comfort is 0.6 m/s3. The expression then becomes: 40 0.70 50 0.65 1.5 0.1464V 60 0.60 A = (2.1.14) 0.60.5 70 0.55 80 0.51 A = 0.189V1.5 (2.1.15) 90 0.47 100 0.44 110 0.41 Using the above expression, the minimum spiral 120 0.38 parameter based on comfort can be calculated 130 0.36 for each design speed. It may be noted that the spiral parameter is independent of the radius. This is illustrated in Figure 2.1.2.7 by the comfort For a given speed and radius, superelevation line parallel to the abscissa. and superelevation runoff are known and minimum lengths can be calculated. From Spiral Parameter Based on minimum length and radius, the minimum spiral Superelevation Runoff parameter can be calculated, using the expression: For superelevation runoff, is defined as the slope A2 = RL (2.1.17) of the outer edge of a pavement in relation to the profile control line. The maximum permissible value varies with design speed, and is shown in Spiral Parameter Based on Aesthetics Table 2.1.2.11. Short spiral transition curves are visually The minimum length of transition, l , is given by unpleasant. It is generally accepted that the the equation length of a transition curve should be such that 100 we the driving time is at least 2 s. For a given radius l = 2s and speed, therefore, the minimum length and (2.1.16) minimum spiral parameter can be calculated using the expression: Where w = the width of pavement in 2 metres A = 0.56RV (2.1.18)
e = the superelevation being Spiral Parameter: Design Domain Quantitative developed in metres per metre Aids
s = the superelevation runoff, Quantitative expressions of the design domain percentage for the spiral parameter are given in Tables 2.1.2.5, 2.1.2.6 and 2.1.2.7 in l=measured in metres Subsection 2.1.2.2 for a range of design speeds. Designers should note the following application heuristics in using these tables.
December 2009 Page 2.1.2.23 Alignment and Lane Configuration
1. For any particular design speed and radius, radii is not too large. See Subsection 2.1.2.6 the highest value of spiral parameter as for additional guidance in this regard. determined by the methodologies discussed in the previous section are used 5. Circular, non-successive curves in the same for these calculations. direction joined by a short length of tangent should normally be joined instead by a spiral. 2. The design values in the tables are The use of tangents to achieve such minimum and higher values should be used connections results in what is commonly wherever possible in the interests of safety, referred to as a “broken back” curve. It is comfort and aesthetics. only justified when some other consideration, for example, property 3. In design it is convenient to select values constraints or construction cost, outweighs so that the radius is a standard value and the visual disadvantages. The term “short A/R is a rational number as this permits tangent” is very subjective and there are spiral properties to be read directly from several definitions for this term. One tables33. suggests that a short tangent length may be regarded as one which allows a driver Spiral Parameter: Design Domain Application on the first curve to see at least some part Heuristics of the following curve. Another definition suggests a broken back curve occurs when The application of spiral curves in horizontal the tangent length (m) is less than four alignment is a complex design problem that has times the design speed. If possible a more many variations. A number of design domain desirable solution to a broken back curve application heuristics dealing with some of the is to eliminate the short tangent and insert more common instances are provided below. an appropriate circular curve or better yet a segmental spiral curve. 1. A circular curve with simple spirals at both ends each having the same parameter 6. A change of direction from one tangent to value is referred to as a symmetrical curve. another may be accomplished by This condition represents the most successive spiral curves without a length of common practice for spiraled curves. circular curve between them. Such a transition curve is referred to as symmetrical 2. Unsymmetrical curves are common at where the two spiral parameters are the interchange ramps and loops and represent same, and unsymmetrical where they are the case noted in #1 above, but with different. The minimum permissible spiral different parameter values for the spirals parameter to be used in such a situation is at each end. the minimum for the design as shown in Tables 2.1.2.5, 2.1.2.6 and 2.1.2.7. 3. Successive circular curves with different radii but in the same direction are best joined by 7. A reversal in curvature direction may be a spiral curve. Where this occurs, the “joining accomplished through successive simple spiral” is referred to as a segmental spiral. spiral curves without a length of tangent The minimum spiral parameter to be used between them. The spiral parameters should is found by referring to Tables 2.1.2.5, 2.1.2.6 be at least the minimum for the design and 2.1.2.7 and using the smaller of the two speed. However, the alignment will have an radii. improved appearance if the minimum spiral parameter values are exceeded or if a 4. In some instances, successive circular length of tangent is inserted between the curves with different radii may connect two spirals. Superelevation is applied as directly to one another if the difference in
Page 2.1.2.24 June 2009 Geometric Design Guide for Canadian Roads
To illustrate the use of equations 2.1.20 and year. Additional safety benefits may accrue to 2.1.21, consider a curve with R = 0.35 km that the curves connected to the other ends of the is between tangents that are 0.9 km long and tangents. which intersect at a deflection angle of 120o (2.09 radians). The roadway is 11.2 m wide and There is a simple approximate way of determining has spiral transition curves. What would be the the collision reduction which is due to increasing safety consequences of increasing the radius the radius. Disregarding the safety benefit due 2 to 0.437 km . to shorter tangents, when R1 < R2:
In equation 2.1.20, the parameter 0.96 applies expected collision reduction per unit of time = to collisions/million vehicle km on a straight (collisions on 1 km of straight road per unit of section. Therefore, on the two tangents we time) x (reduction in path length in km) + 0.0245 expect 2 x 0.9 x 0.96 = 1.73 collisions/million x million vehicles per unit of time x (1/R2-1/R1) vehicles. The length of the curve is 0.35 x 2.09 = 0.732 km. On the curve one may expect (0.96 The “reduction in path length in km” is given by x 0.732 + 0.0245/0.35 - 0.012) x 0.97837-30 = 0.65 collisions/million vehicles. The correction factor (R -R ) x [2tan(D/2)-D] (2.1.22) for tangent length is e-(0.62 - 1.2x0.35) x (1.2 - 0.9) = 0.94. 1 2 Thus, with a 0.35 km radius curve one should expect 1.73 + 0.65 x 0.94 = 2.34 collisions/ in which D is the deflection angle in radians. million vehicles. Numerical Example: Suppose now that a curve with R = 0.437 km is
As in the previous numerical example, let R1 = considered for the same conditions. The larger o 0.437 km, R2 = 0.35 km, D = 120 (2.09 radians) radius implies a longer curve and shorter -6 tangents. Each tangent length is reduced by and Volume = 5000 x 365 x 10 = 1.825 million (0.437-0.35) x tan (2.09/2) = 0.15 km. Thus, on vehicles/year. The reduction in path length is the two tangents one expects 2 x (0.9 - 0.15) x (0.437-0.35) x [2tan (2.09/2) - 2.09] = 0.12 km. 0.96 = 1.44 collisions/million vehicles. The If there are 0.96 collisions/million vehicle km on length of the curve is now 0.437 x 2.09 = a straight road, then, with 1.825 million vehicles 0.913 km and with long tangents one may per year, one expects 0.96 x 1.825 = 1.75 expect on it (0.96 x 0.913 + 0.0245/0.437 - collisions/year for a kilometre of road. Thus, the 0.012) x 0.97837-30 = 0.8 collisions/million expected collision reduction is 1.75 x 0.12 + vehicles. The correction factor now is 0.0245 x 1.825 x (1/0.35-1/0.437) = 0.21 + 0.03 e-(0.62 – 1.2 x 0.437) x (1.2 - 0.75) = 0.96. Thus, with a = 0.24 collisions/year. R=0.437 km curve one should expect 1.44 + 0.8 x 0.96 = 2.21 collisions/million vehicles. If In summary, when a horizontal curve is to be AADT = 5000, the collision reduction is fitted between tangents with a given deflection (2.34 - 2.21) x 5000 x 365 x 10-6 = 0.24 collisions/ angle, the greater the radius of the curve the fewer collisions will occur on the roadway.
December 2009 Page 2.1.2.45 Alignment and Lane Configuration
Page 2.1.2.46 September 1999 Geometric Design Guide for Canadian Roads
3. Where possible, gradients lower than the Minimum Grades: Design Domain Application maximum values shown should be used. Heuristics
4. Maximum values should only be exceeded Rural Roadways after a careful assessment of safety, cost, property and environmental implications. 1. On uncurbed roadways, level grades are generally acceptable provided the roadway 5. The choice of maximum gradient may have is adequately crowned, snow does not a bearing on related design features; for interfere with surface drainage, and ditches example, whether or not a truck climbing have positive drainage. Roadway crown is lane or escape lane is required. discussed in Section 2.1.5. Refer to Chapter 2.2 for guidelines for the design of 6. While Table 2.1.3.1 provides general roadside open ditches and to relevant guidance, the designer should be aware drainage publications. that the factors that should be considered in establishing the maximum grade for a Curbed Roadways section of roadway include: (generally in urban areas)
• road classification 1. To ensure adequate drainage, curbed roadways typically have a minimum • traffic operation longitudinal grade of 0.50% or 0.60%, depending on local policy. • terrain 2. In certain rare design cases, when no other • climatic conditions alternative is feasible, a grade of 0.30% may be used as an absolute minimum • length of grade preferably in combination with highly stable soils and rigid pavements. • costs 3. For retrofit projects, longitudinal grades • property below the normal minimum of 0.50% or 0.60% may be considered where flatter • environmental considerations grades allow the retention, rather than the removal, of existing pavements. • in urban areas, adjacent land use 4. The minimum gradients outlined are 7. Maximum grades of 3 to 5% are considered suitable for normal conditions of rainfall and appropriate for design speeds of 100 km/h drainage outlet spacing. Where less than and higher. This may have to be modified the normal minimum gradient is utilized, the in regions with severe topography such as lengths of such grades should be limited to mountainous terrain, deep river valleys, and short distances, and their location and large rock outcrops. frequency become important considerations. In special cases, hydraulic 8. Maximum grades of 7 to 12% are analysis is required to determine the extent appropriate for design speeds of 50 km/h of water spread on the adjacent travel lane. and lower. If only the more important False grading, (where the pavement grade roadways are considered, 7% or 8% would is not parallel to the top of curb), to ensure be a representative maximum grade for a adequate drainage is an effective means design speed of 50 km/h. of maintaining minimum grades in flat, highly constrained areas. False grading is 9. Control grades for other speeds between addressed in Section 2.1.5, Cross-Slope. 50 km/h and 100 km/h are intermediate between the above extremes.
September 1999 Page 2.1.3.3 Alignment and Lane Configuration
5. At intersections, minimum gradients are One of the properties of the parabola is that the particularly important to avoid operational rate of change of grade with respect to length safety concerns related to ponding or icing is constant. For this reason sight distance conditions. available to a driver travelling on a crest curve is constant throughout the length of the curve. 6. Ensuring positive drainage is a key element This is one of the reasons for the use of the in the grading designs of curb returns and parabola for vertical curves. A second the large paved surfaces of intersection advantage of the parabolic curve is that its areas. Suggested guidelines include a calculation is much simpler than a circular or minimum gradient of 0.6% along curb other curve that might be considered. returns, and a minimum of 1.0% combined crossfall and longitudinal gradient within the Since the rate of change of grade is constant limits of an intersection. Further information with respect to length, this property is used to on intersection drainage considerations is designate the size of the curve. The length of a contained in Chapter 2.3, Intersections. section of curve measured horizontally over which there is a change of grade of 1% is a 7. For gravelled roadways or public lanes, a constant for the curve and is referred to as the longitudinal grade of 0.8% or more is K value. For example, a K value of 90 means a desirable to ensure adequate surface horizontal distance of 90 m is required for every drainage, unless parallel ditches are one percent gradient change. K is a measure provided. A grade of 0.5% may be used of the flatness of a curve, the larger the K value as an absolute minimum. the flatter the curve, in the same way that radius is a measure of the flatness of a circular curve. Drainage around Curves For crest curves K is negative, and for sag curves K is positive. 1. Avoid areas of level grades around curves if there is possibility of raised medians being K = L / A (2.1.23) installed in the future. The installation of such a median as part of a road rehabilitation or widening project may preclude the possibility of providing Where: drainage in the median. Superelevated sections of pavement that drain towards a L = Horizontal length of vertical depressed median, and utilize longitudinal curve (m) grade in the median, may require longitudinal grade on the pavement for A = Algebraic difference of grade drainage, if the median is subsequently lines (%) raised. K = Parameter which has a 2.1.3.3 Vertical Curves constant value in a given vertical curve. Introduction In certain situations, because of critical The function of a vertical curve is to provide a clearance or other controls, the use of smooth transition between adjacent grades. unsymmetrical vertical curves may be required. Because their use is infrequent, the derivation The form of curve used for vertical curves is a and use of the appropriate formulae have not skewed parabola, positioned so that basic been included in the following section. For use measurements can be made horizontally and in such limited instances, refer to unsymmetrical vertically. Curves are described as crest or sag curve data found in a number of highway depending on their orientation. engineering texts.
Page 2.1.3.4 December 2009 Geometric Design Guide for Canadian Roads
Table 2.1.3.4 K Factors to Provide Minimum Stopping Sight Distance on Sag Vertical Curves1
Design Assumed Stopping Rate of Sag Vertical Curvature (K) Speed Operating Sight Headlight Control Comfort Control Speed Distance Calculated Rounded Calculated Rounded (km/h) (km/h) (m) 30 30 29.6 3.9 4 2.3 2 40 40 44.4 7.1 7 4.1 4 50 47-50 57.4-62.8 10.2-11.5 11-12 5.6-6.3 5-6 60 55-60 74.3-84.6 14.5-17.1 15-18 7.7-9.1 8-9 70 63-70 99.1-110.8 19.6-24.1 20-25 10.0-12.4 10-12 80 70-80 112.8-139.4 24.6-31.9 25-32 12.4-16.2 12-16 90 77-90 131.2-168.7 29.6-40.1 30-40 15.0-20.5 15-20 100 85-100 157.0-205.0 36.7-50.1 37-50 18.3-25.3 18-25 110 91-110 179.5-246.4 43.0-61.7 43-62 21.0-30.6 21-30 120 98-120 202.9-285.6 49.5-72.7 50-73 24.3-36.4 24-36 130 105-130 227.9-327.9 56.7-85.0 57-85 27.9-42.8 28-43
Values for sag curvature based on the comfort character of the terrain, is preferable to an criterion are shown in Table 2.1.3.4. alignment with numerous breaks and short lengths of grade. On lower speed curbed These K values for sag curves are useful in urban roadways drainage design often urban situations such as underpasses where it controls the grade design. is often necessary for property and access reasons to depart from original ground 2. Vertical curves applied to small changes of elevations for as short a distance as possible. gradient require K values significantly Minimum values are normally exceeded where greater than the minimum as shown in feasible, in consideration of possible power Tables 2.1.3.2 and 2.1.3.4. The minimum failures and other malfunctions to the street length in metres should desirably not be lighting systems. Designing sag vertical curves less than the design speed in kilometres along curved roadways for decision sight per hour. For example, if the design speed distance is normally not feasible due to the is 100 km/h, the vertical curve length is at inherent flat grades and resultant surface least 100 m. drainage problems. 3. Vertical alignment, having a series of 2.1.3.4 Vertical Alignment: successive relatively sharp crest and sag Design Domain curves creating a “roller coaster” or “hidden Additional Application dip” type of profile is not recommended. Heuristics Hidden dips can be a safety concern, particularly at night. Such profiles generally Vertical Alignment Principles: Application occur on relatively straight horizontal Heuristics alignment where the roadway profile closely follows a rolling natural ground line. Such The following principles generally apply to both roadways are unpleasant aesthetically and rural and urban roads. A differentiation between more difficult to drive. This type of profile is rural and urban is made in several instances avoided by the use of horizontal curves or where necessary for clarity. by more gradual grades.
1. On rural and high speed urban roads a 4. A broken back grade line (two vertical smooth grade line with gradual changes, curves in the same direction separated by consistent with the class of road and the a short section of tangent grade) is not
September 1999 Page 2.1.3.9 Alignment and Lane Configuration
desirable, particularly in sags where a full 10. On long grades it may be preferable to view of the profile is possible. This effect is place steepest grade at the bottom and very noticeable on divided roadways with decrease the grades near the top of the open median sections. ascent or to break the sustained grade by short intervals of flatter grade instead of a 5. Curves of different K values adjacent to uniform sustained grade that might be only each other (either in the same direction or slightly below the allowable maximum. This opposite directions) with no tangent is particularly applicable to low design between them are acceptable provided the speed roads and streets2. required sight distances are met. 11. To ensure a smooth grade line on high 6. An at-grade intersection occurring on a speed routes a minimum spacing of 300 m roadway with moderate to steep grades, between vertical points of intersection is should desirably have reduced gradient desirable. through the intersection, desirably less than 3%. Such a profile change is beneficial for 12. The design of vertical alignment should not vehicles making turns and stops, and be carried out in isolation but should have serves to reduce potential hazards. a proper relationship with the horizontal alignment. This is discussed in 7. In sections with curbs the minimum Section 2.1.4. longitudinal grade is 0.5%. Within superelevated transition areas, it might Drainage: Application Heuristics sometimes be virtually impossible to provide this minimum grade. In such cases, 1. Where uncurbed sections are used and the longitudinal grade length below 0.5% drainage is effected by side ditches, there should be kept as short as possible. is no limiting minimum value for gradient Additional information on minimum grades or limiting upper value for vertical curves. and drainage is provided in Subsection 2.1.3.2. 2. On curbed sections where storm water drains longitudinally in gutters and is 8. A superelevation transition occurring on a collected by catch basins, vertical alignment vertical curve requires special attention in is affected by drainage requirements. order to ensure that the required minimum Minimum gradients are discussed in curvature is maintained across the entire Subsection 2.1.3.2. width of pavement. The lane edge profile on the opposite side of the roadway from 3. The profile of existing or planned the control line may have sharper curvature stormwater piping is an important due to the change in superelevation rate consideration in setting urban roadway required by the superelevation transition. It grades. Storm sewer pipes typically have is, therefore, necessary to check both edge minimum depths to prevent freezing. These profiles and to adjust the desired minimum requirements are considered in setting vertical curvature. catchbasin elevations.
9. Undulating grade lines, with substantial 4. Where the storm sewer system is not lengths of down grade, require careful sufficiently deep to drain the streets by review of operations. Such profiles permit gravity flow, lift stations are an alternative. heavy trucks to operate at higher overall However, lift stations are generally speeds than is possible when an upgrade considered undesirable due to the high is not preceded by a down grade. However, costs associated with installation, operation this could encourage excessive speed of and maintenance. Malfunctions at the lift trucks with attendant conflicts with other station during a rain storm can also have a traffic. major detrimental impact on the street system and the adjacent developments.
Page 2.1.3.10 December 2009 Geometric Design Guide for Canadian Roads
Railways 2. It is desirable to allow up to 3.6 m of vertical clearance in order to provide an enhanced 1. Minimum vertical clearance over railways design and permit access for typical service is 6.858 m (22.5 feet) measured from base vehicles. of rail. 3. Similar vertical clearances are normally 2. The minimum vertical clearance where provided for sidewalks since cyclists may ballast lifts are contemplated is 7.163 m occasionally use the sidewalk, even where (23.5 feet) measured from base of rail not legally permitted. elevation to the underside of the overpass structure. 4. If it can be clearly determined that cyclists will not use the pedestrian sidewalk, 3. In all cases, it is good practice to confirm minimum clearances in accordance with the specific clearance requirements with the National or Provincial Building Codes the pertinent railway company, as well as could be employed. with the appropriate Federal and Provincial agencies, before designs are finalized. 5. Further information on sidewalks and bikeways is provided in Chapters 2.2, 3.3 Overhead Utilities and 3.4.
1. The vertical clearance requirements for Waterways roadways crossing beneath overhead utilities vary with the different agencies. In 1. Over non-navigable waterways, bridges the case of overhead power lines, the and open footing culverts, the vertical clearance varies with the voltage of the clearance between the lowest point of the conductors. The clearance requirements in soffit and the design high water level shall each case should be confirmed with the be sufficient to prevent damage to the controlling agency. structure by the action of flow water, ice flows, ice jams or debris. Pedestrian Overpasses 2. For navigable waterways, navigational 1. Normally, the minimum vertical clearance clearance is dependent on the type of for a pedestrian overpass structure is set vessel using the waterway and should be at 5.3 m or 0.3 m greater than the determined individually. clearance of any existing vehicular overpass structure along that same route. 3. Clearances should also conform to the This lessens the chances of it being struck requirements of the Navigable Waters by a high load - an important consideration Protection Act of Canada. - since a pedestrian overpass, being a relatively light structure, is generally unable Airways to absorb severe impact and is more likely to collapse in such an event. The increased 1. Vertical clearance to airways is as indicated vertical clearance reduces the probability in Figure 2.1.3.3. of damage to the structure and improves the level of safety for pedestrians using the 2. Lighting poles should be contained within structure. the clearance envelope.
Bikeways and Sidewalks 3. The dimensions are for preliminary design. Specific dimensions should be approved by 1. For bikeways, the minimum vertical the designated Transport Canada clearance provided is 2.5 m. representative.
December 2009 Page 2.1.3.13 Alignment and Lane Configuration
Figure 2.1.3.3 Airway Clearance1
2.1.3.5 Explicit Evaluation of collisions tend to get reported. Thus, the severity Safety and frequency of reporting collisions are affected by the grade. Second, road grades General affect the diversity of speeds. This is thought by some to affect collision frequency. Third, road Vertical alignment design has a significant profile affects the available sight distance and impact on safety in areas where vehicles are gradient affects braking distance. All of these required to frequently stop and start. Excessive factors may affect collision frequency and grades in intersection areas and at driveways severity. Finally, grade determines the rate at can contribute significantly to collision which water drains from the pavement surface frequencies during wet or icy conditions. Efforts and this too may affect safety. The traditional are normally made to provide as flat a grade as belief was that safety-related design attention practicable in these critical areas, while meeting should focus on crest curves and sag curves. the minimum slopes needed for adequate It turns out that while the vertical profile is an surface drainage. important determinant of the future safety of a road, sight distance at crest or sag curves is Collision Frequency on Vertical Alignment not as important as it seemed.
The following information on collision frequency At present the quantitative understanding of how is derived from a 1998 research paper29. grade affects safety is imprecise. All studies using data from divided roads concluded that The vertical profile of a road is likely to affect collision frequency increases with gradient on safety by various mechanisms. First, vehicles down grades. Some studies concluded that the tend to slow down going up the grade and speed same is true for up grades, while others up going down the grade. Speed is known to concluded to the contrary. Estimates of the joint affect collision severity. Thus on the up grade effect of grade on both directions of travel vary. collisions tend to be less severe than on the It is suggested that the conservative Collision down grade. Since down grade collisions tend Modification Factor of 1.08 be used for all roads. to be more severe, a larger proportion of That is, if the gradient of a road section is
Page 2.1.3.14 December 2009 Geometric Design Guide for Canadian Roads
2.1.4 COORDINATION Examples of good and poor application of the above principles are illustrated in AND AESTHETICS Figures 2.1.4.1 to 2.1.4.12. Each photograph or perspective sketch has a brief comment 2.1.4.1 Introduction describing the significant visual qualities.
The visual aspect of the road as viewed by the 2.1.4.2 Alignment Coordination: driver and passenger is considered to be an Technical Foundation important feature of geometric design. The provision of visual comfort helps make driving a The principal guides for horizontal and vertical more relaxing experience resulting in better and alignment are set out in Sections 2.1.2 and safer traffic operation. Features which are 2.1.3. A section of road might be designed to aesthetically disturbing to the motorist are to be meet these guides, yet the end result could be avoided. An unsightly road is a blight on the a facility exhibiting numerous unsatisfactory or landscape whereas an aesthetically pleasing displeasing characteristics. Horizontal and facility can become an asset, enhancing the area vertical alignments are permanent design through which it passes. elements for which thorough study is warranted. It is extremely difficult and costly to correct To produce an aesthetically pleasing facility the alignment deficiencies after the road is designer requires an appreciation of the constructed. On freeways there are numerous relationship between the road and its controls such as multilevel structures and costly surroundings. Some specific principles to be right of way. On most arterial streets heavy considered include: development takes place along the property lines, which makes it impractical to change the • blending of the road with the surrounding alignment in the future. Thus, compromises in topography alignment designs must be weighed carefully. Any initial savings may be more than offset by • developing independent alignments for each the economic loss to the public in the form of roadway of a divided facility when right of collisions and delays. way permits
• continuous curvilinear design rather than It is difficult to discuss the combination of long-tangent, short-curve design horizontal alignment and profile without reference to the broader subject of location. The • integration of horizontal and vertical subjects are mutually interrelated and what may alignment be said about one generally is applicable to the other. It is assumed here that the general • implementation of designs with visually location has been fixed and that the problem pleasing structures, retaining walls and remaining is the specific design and landscaping harmonizing of the vertical and horizontal lines, such that the finished road or street will be an In many cases the above principles can be economical, pleasant, and collision-free facility achieved at an acceptable extra cost. In cases on which to travel. The physical controls or where additional cost is a factor, the benefits are influences that act singularly or in combination assessed against expenditure. In considering the to determine the type of alignment are the costs and benefits of design trade-offs of this character of road justified by the traffic, sort, the designer should ensure that safety- topography, and subsurface conditions, existing related factors are considered explicitly. In cultural development, likely future addition, many of the basic elements of design developments, and location of the terminals. An coordination contribute to the design consistency initial design speed is established when aspects of road design, and should thus be determining the general location, but as design considered in that context as well. The issue of proceeds to more detailed alignment and profile design consistency is discussed in Chapter 1.4 it assumes greater importance, and the speed of this Guide. chosen for design acts to keep all elements of
December 2009 Page 2.1.4.1 Alignment and Lane Configuration design in balance. The final design speed chosen combination with horizontal curvature may may be different from the initial design speed. result in a series of humps visible to the Design speed determines limiting values for driver for some distance, an undesirable many elements such as curvature and sight condition as previously discussed. The use distance and influences many other elements of horizontal and vertical alignments in such as width, clearance, and maximum combination, however, may also result in gradient; all are discussed in the preceding parts certain undesirable arrangements, as of this chapter. discussed later in this section.
Horizontal and vertical alignments should not be 3. Sharp horizontal curvature should not be designed independently. They complement each introduced at or near the top of a other, and poorly designed combinations can pronounced crest vertical curve. This spoil the good points and aggravate the condition is undesirable in that the driver deficiencies of each. Horizontal and vertical cannot perceive the horizontal change in alignments are among the more important of alignment, especially at night when the the permanent design elements of the road. headlight beams go straight ahead into Excellence in their design and in the design of space. The difficulty of this arrangement is their combination increase usefulness and avoided if the horizontal curvature leads the safety, encourage uniform speed, and improve vertical curvature, i.e., the horizontal curve appearance. is made longer than the vertical curve. Suitable design can also be made by using During the location stage and the design phase design values well above the minimums for of a facility, the finished roadway is viewed in the design speed. three dimensions and the consequences of various combinations of horizontal and vertical 4. Somewhat allied to the above, sharp alignment on the utility, safety and appearance horizontal curvature should not be of the completed project are considered. introduced at or near the low point of a pronounced sag vertical curve. Because the 2.1.4.3 Alignment Coordination: road ahead is foreshortened, any significant Design Domain Application horizontal curvature assumes an Heuristics undesirable distorted appearance. Further, vehicular speeds, particularly of trucks, A number of application heuristics which can often are high at the bottom of grades, and assist the designer in preparing well- erratic operation may result, especially at coordinated and aesthetic plans are offered night. below. 5. On two-lane roads and streets the need for 1. Curvature and grades should be in proper safe passing sections at frequent intervals balance. Tangent alignment or flat curvature and for an appreciable percentage of the at the expense of steep or long grades and length of the road often supersedes the excessive curvature with flat grades are general desirability for combination of both poor design. A logical design that offers horizontal and vertical alignment. In these the most in safety, capacity, ease and cases it is necessary to work toward long uniformity of operation, and pleasing tangent sections to secure sufficient appearance within the practical limits of passing sight distance in design. terrain and area traversed is a compromise between the two extremes. 6. Horizontal and vertical alignments should be made as flat as feasible at intersections 2. Vertical curvature superimposed on where sight distance along both roads or horizontal curvature, or vice versa, streets is important and vehicles may have generally results in a more pleasing facility, to slow or stop. but it should be analyzed for effect on traffic. Successive changes in a profile not in
Page 2.1.4.2 September 1999 Geometric Design Guide for Canadian Roads
Figure 2.1.5.1 False Grading and Cross-Slopes
2.1.5.4 Cross-Slope Arrangements: away from the median. These alternates are Application Heuristics illustrated in Figure 2.1.5.2 (four lane divided, alternates A and B). The advantages of the The direction of the cross-slopes, or the cross- crown are storm water drains to both sides of slope arrangements for various classes of the roadway and it facilitates the treatment of roads, are described below and illustrated in the roadway with de-icing chemicals which are Figure 2.1.5.2. The rate of cross-slope in each spread in a narrow strip about the crown line, case depends on the type of surface as noted allowing the action of traffic and cross-slope to earlier, as well as, if relevant, on the width of further spread the chemicals across the entire roadways and drainage considerations. pavement. If the road eventually requires expansion to six lanes by adding two lanes in On tangent sections of roadway, cross-slope is the median, the additional lanes will slope normally applied to drain storm water to the side toward the median. The advantages of both of the roadway. On two-lane roads the lanes draining away from the median is the pavement is normally crowned at the centreline reduction in median drainage provision. and the pavement slopes down to each edge. If a four-lane divided road is to be expanded to On four-lane undivided roads and four-lane six lanes within a short period of time of initial divided roads with a flush median, the crown is construction, it is normally designed for six lanes normally placed in the centre of the pavement and built without the median lanes initially. In or median, and cross-slope to each pavement this case both lanes of each roadway slope edge is 0.02 m/m. toward the outer edge.
On a four-lane divided road with a depressed For six-lane divided roads, the crown for each median, a crown may be placed at the centre roadway is applied to either edge of the centre of each roadway with a cross-slope of lane, in which case one or two lanes drain 0.02 m/m to each edge, or both lanes may drain toward the median. With two lanes draining
September 1999 Page 2.1.5.3 Alignment and Lane Configuration
Figure 2.1.5.2 Application of Cross-slope on Various Types of Roads7
two-lane undivided
four-lane undivided
four-lane divided with narrow raised median
four-lane divided with wide depressed median (A)
four-lane divided with wide depressed median (B)
six-lane divided (A)
six-lane divided (B)
eight-lane divided
Page 2.1.5.4 December 2009 Geometric Design Guide for Canadian Roads toward the median, at locations where an For resurfacing, design guidelines and auxiliary lane is added, two lanes are draining acceptable limits are provided in Table 2.1.5.1 in each direction. This location of the crown is for pavement cross-slope related to design also convenient for an initial stage of four-lane speed. divided. If the six-lane cross section is to be a stage of an eight-lane cross section, a crown The cross-slope for the other types of lanes located at the common edge of the median and addressed later in the chapter, including centre lane is preferred to avoid three lanes climbing lanes, passing lanes and service roads draining toward the median. The above is generally adhere to the following criteria. illustrated in Figure 2.1.5.2 (six-lane divided, alternates A and B). For truck climbing lanes the cross-slope is usually handled the same as the addition of a Cross-slope on auxiliary lanes is the same as lane to a multilane road. Two common practices that of the adjacent through lane. are:
At intersections where two roads on tangent 1. The continuation of the cross-slope of the intersect, normal cross-slope is maintained on through lanes. the major road, and cross-slope on the minor road is run out on the approaches to the 2. A small increase in cross-slope compared intersection to match the profile of the major to the through lanes. On superelevated road. This treatment is typical of intersections sections the cross-slope is usually a controlled by a stop sign on the minor road. In continuation of the through lanes unless the case of an intersection where the two roads truck speeds are extremely slow and icy are of equal importance, or where the conditions prevail in which case an intersection is signalized, the normal cross- adjustment in the truck climbing lane cross- slope is run out on all four approaches so that slope may be desirable. the cross-slope on each road matches the profile of the crossing road. Simply put, the For passing lanes the practice is similar to that pavements are warped to maintain smooth for truck climbing lanes except that slow speeds profiles for traffic on both roads. This topic is are not an issue. dealt with in more detail in Chapter 2.3. The cross-slope for service roads, express For roadways on structures, the cross-slope is collector systems, and weaving lanes basically a minimum of 0.02 m/m. follow the same principles as would be applied to a similar class of through lane.
Table 2.1.5.1 Pavement Cross-Slope for Resurfacing1
Cross-Slope (m/m) Maximum Design Acceptable Algebraic Difference Design Speed Guidelines Limits (driving lanes) (m/m) 60 km/h 0.02 0.015-0.04 0.08 80 km/h 0.02 0.015-0.035 0.07 100 km/h 0.02 0.015-0.03 0.06 120 km/h 0.02 0.015-0.025 0.05
September 1999 Page 2.1.5.5 Alignment and Lane Configuration
2.1.5.5 Cross-Slope Changes: 100we Application Heuristics l = 2s (2.1.29) Sometimes it is necessary to change the cross- slope on tangents for reasons other than Where: w = the width of pavement (m) superelevation. As in superelevation it is important that the change is gradual enough to e = the change in super- provide visual driving comfort. This is achieved elevation developed (m/m) by having an acceptable relative slope which is a slope or profile of the outer edge of pavement s = the relative slope (%) in relation to the profile of the centreline. It is dependent on the rate of cross-slope being Table 2.1.5.3 Design Values for developed, the length over which it is developed, Rate of Change of and the width of the pavement. It is therefore Cross-Slope for an expression of rate of change of cross-slope. Single-Lane Turning The maximum relative slope normally applied Roads1 varies with design speed. Table 2.1.5.2 provides values for maximum relative slope for two-lane roadways. For four-lane and six-lane roadways, Design Speed Rate of Change (km/h) of Cross-Slope the lengths are increased by 1.5 and 2.0 times (m/m/m length) that for two-lane roadways, respectively. 25 and 30 0.0025 Design values for rates of change of cross-slope 40 0.0023 are shown on Table 2.1.5.3. These values are 50 0.0020 suitable for single-lane ramps. For two-lane 55 and more 0.0016 ramps lower values are appropriate. Theoretically, the maximum rate of change for two-lane roadways should be 50% of that for The phenomenon of adjacent traffic lanes single-lane roadways, however, this may having different rates of cross-slope or generate transition lengths which cannot be superelevation gives rise to a ridge at the achieved at an acceptable cost and values of common edge, referred to as algebraic 75% are acceptable. difference or roll-over.
The minimum transition length is given by the Too great a difference in cross-slope may cause equation: vehicles travelling between lanes to sway, giving
Table 2.1.5.2 Maximum Relative Slope Between Outer Edge of Pavement and Centreline of Two-Lane Roadway1
Design Speed (km/h) Relative Slope (%) 40 0.70 50 0.65 60 0.60 70 0.55 80 0.51 90 0.47 100 0.44 110 0.41 120 0.38 130 0.36
Page 2.1.5.6 December 2009 Geometric Design Guide for Canadian Roads
2.1.7 LANE AND ROUTE Illustration (iv) shows how the deficiencies of illustration (iii) can be resolved. The number of CONTINUITY AND lanes on each ramp and transfer roadway are WEAVING the same, proper lane balance is observed and all three basic lanes are continuous. This is 2.1.7.1 Lane Continuity accomplished by use of auxiliary lanes on both the left and right-hand sides of the roadway. Technical Foundation 2.1.7.2 Route Continuity1 In designing the lane arrangement of a freeway, design volume, maintenance of basic lanes and Technical Foundation lane balance are all taken into account. A further consideration is that of lane continuity. Route continuity refers to the provision of a directional path along and throughout the length A driver needs to recognize which lanes are of a designated route. Continuity of route basic or through, to avoid being inadvertently designation, either by name or number, is led by the lane markings to an undesired ramp important to ensure operational uniformity and lane. If good lane balance is applied and basic to reassure the driver that he is on the intended lanes are maintained, together with all exits and course. The principle of route continuity entrances having a single lane on the right, lane simplifies the driving task in that it reduces lane continuity will naturally follow. Where entering changes, simplifies signing, delineates the and exiting ramps have two or more lanes, and through route, and reduces the driver’s search at transfer lanes on collector roadways on for directional signing. express-collector systems, lane continuity can be lost. Desirably, the through driver, especially the unfamiliar driver, should be provided a Best Practices continuous through route on which it is not necessary to change lanes and through traffic Figure 2.1.7.1 illustrates examples of lane vehicular operation occurs on the left of all other continuity. Included is an example of non- traffic. In maintaining route continuity through compliance of lane continuity followed by an cities and bypasses, interchange configurations illustration of a rearrangement of lanes and need not always favour the heavy movement ramps in order to achieve lane continuity. In but rather the through route. To accomplish this, illustration (i) three basic lanes are maintained, heavy movements can be designed on flat all ramps are single lane on the right and the curves with reasonably direct connections and principles of lane balance are observed. Lane auxiliary lanes, equivalent operationally to continuity is maintained. In illustration (ii) there through movements. are three basic lanes, all ramps are on the right and have two lanes, lane balance is preserved Best Practices and lane continuity is maintained. Adherence to the above route continuity In illustration (iii) there are two single-lane principles influences the configuration of entrances on the right, a two-lane exit on the interchanges. In Figure 2.1.7.2, two continuity right, a two-lane (transfer) entrance on the left arrangements are illustrated. and a two-lane (transfer) exit on the left. Although three basic lanes are maintained In illustration (i) Highway 1 is a north-south route through the section and the principles of lane and Highway 2 is an east-west route, in which balance are observed, only one of the basic case a conventional four level fully-directional lanes is continuous. This confuses the driver, interchange is appropriate and the designated causes turbulence and unnecessary lane through routes are consistent with the route changing in the traffic operation, and is numbers. In illustration (ii), Highway A is an potentially hazardous. east-south route and Highway B is a north-west
September 1999 Page 2.1.7.1 Alignment and Lane Configuration
Figure 2.1.7.1 Examples of Lane Continuity1
Page 2.1.7.2 December 2009 Geometric Design Guide for Canadian Roads
Figure 2.1.7.2 Illustration of Route Continuity1
December 2009 Page 2.1.7.3 Alignment and Lane Configuration route. The through routes, and the route names and the second is called a major weave with and numbers, are maintained and the ramps crown line. carry traffic between route numbers. Type B weave section is classified as a major If the conventional configuration of illustration weaving section because it involves multilane (i) were applied to the Highway A/B interchange, entry and/or exit lanes. Two critical the through route numbers would be carried on characteristics that distinguish Type B weaving ramps. This would confuse a driver who expects areas are: 1) one weaving movement may be to exit on a ramp (on the right) only when accomplished without making any lane departing from the through route number of changes, and 2) the other weaving movement another route. The designated through route requires at most one lane change. Type B name or number, therefore, influences the weaving sections are extremely efficient in selection of the configuration of the interchange. carrying large weaving volumes, primarily because of provisions of a through lane for one 2.1.7.3 Weaving of the weaving movements.
Technical Foundation Type C weaving sections are similar to Type B weaving sections in that one or more through Weaving sections are roadway segments where lanes are provided for one of the weaving the pattern of traffic entering and leaving at movements. The distinguishing differences contiguous points of access result in vehicle between Type B and Type C weave sections is paths crossing each other. Weaving sections the number of lane changes required for the may occur within an interchange, between other weaving movement. entrance ramps followed by exit ramps of successive interchanges, and on segments of Best Practices overlapping roadways. The weave section operations are an important consideration in the The conflict between entering and exiting traffic location of ramp terminals. tends to interrupt the operation of normal through traffic, precipitates turbulence in traffic If the frequency of lane changes in a weaving flow and has the effect of reducing service section is similar to that on an open road, the volumes and capacity. Undesirable weaving section is said to be “out of the realm of conditions may be alleviated by increasing the weaving”, but where they exceed the normal number of lanes in the weaving section or frequency the condition is described as increasing the length between successive “weaving”. entrance and exit gores. Weaving sections may be eliminated from the main facility by the There are three primary types of weaving selection of interchange forms that do not have sections which are determined by the weaving, or by incorporation of collector operational features such as number of entry distributor roadways. Although interchanges lanes, number of exit lanes, and their impact that do not involve weaving operate better than on how lane changing must take place. The those that do, interchanges with weaving areas three types of weaving sections are: Type A, nearly always are less costly than those without. Type B, and Type C. These three types of weaving sections are illustrated in If the above measures are not effective or not Figure 2.1.7.3. feasible for resolving weaving concerns, it may be necessary to eliminate certain turning Type A weaving section requires that each movements or relocate them elsewhere, in the weaving vehicle make one lane change in order interest of maintaining the operational integrity to execute the desirable movement. Type A of the freeway. Alternatively, a weaving condition weaving section is also broken into two distinct may be eliminated by separating the conflicting weaving types. The first is a one sided weave, traffic movements vertically by introducing a
Page 2.1.7.4 September 1999 Geometric Design Guide for Canadian Roads
Figure 2.1.7.3 Types of Weaving Sections8
September 1999 Page 2.1.7.5 Alignment and Lane Configuration grade separation of basket weave configuration. weaving lengths may be imposed by other These solutions are illustrated in Figure 2.1.7.4. constraints such as the location (spacing) of existing arterial roads. Such shorter weaving The minimum length, number of lanes, and lengths operate with varying levels of quality and capacity of the weaving sections are determined safety depending on local conditions and using procedures in the Highway Capacity features such as traffic volumes, sight distance, Manual Special Report 209, 3rd Edition, visibility, horizontal and vertical alignment, and Transportation Research Board, Washington, cross section elements. D.C. (Revised) 1997. Weaving sections longer than 1000 m will For efficient operation on freeways, weaving frequently be out of the realm of weaving. length between a freeway interchange and an arterial interchange normally should be in the Weaving length is measured from the point range of 800 m to 1000 m and between arterial where lane edges at the merge are 0.5 m apart interchanges in the range of 550 m and 700 m. to where lane edges at the diverge are 3.7 m, It is recognized that in many cases shorter illustrated in Figure 2.1.7.5.
Figure 2.1.7.4 Solutions for Undesirable Weaving1
Page 2.1.7.6 December 2009 Geometric Design Guide for Canadian Roads
In spite of these factors, the following general 6. Shoulders fulfil an important function as a conclusions can provide design assistance: refuge area for broken-down vehicles. Making adequate provision for the refuge 1. A number of studies indicate that increased of such vehicles is particularly important on shoulder width is more beneficial to safety high-volume facilities such as rural and at higher traffic volumes than lower urban freeways. In consideration of this volumes. fact, and of the consequent need to allow drivers and passengers room to move 2. There are some indications in the research around the vehicle for maintenance and/or that roads with wider shoulders may tend repair purposes, the design domain for to have collisions of greater severity. This shoulder width allows for widths up to 3.0 m. phenomenon may be due to the higher In instances where the lower limits of the running speeds that such wider shoulders design domain are used, particular attention may encourage in some instances. should be paid to providing a forgiving roadside. 3. Shoulders wider than about 2.0 m to 2.5 m increase the number of injury collisions in 7. The Collision Modification Factor (CMF) some circumstances. Once again, this related to shoulder width and annual phenomenon may be due to the higher average daily traffic (AADT) is shown on running speeds that wider shoulders may Figure 2.2.4.6. This Figure is based on run- encourage. It is thus logical that, in off-road and opposite direction collisions. situations where wider shoulders are to be If the information shown in Figure 2.2.4.6 used, particular attention should be paid to is to be applied to total collisions, an providing an appropriate forgiving roadside appropriate correction needs to be applied. design. For example, if half of the collisions on a given road are of the run-off-road and 4. The safety effect of wide shoulders on level opposite direction type, the CMF needs to and straight roads is less than on sharp be applied only to half of the total number horizontal curves and on roads with steep of collisions. If the “other” collision types grades. are affected by shoulder width, the CMF needs to be reduced further. 5. Wider shoulders tend to have fewer run- off-road and opposite direction collisions. 8. Provision of full shoulders instead of only However, they may in some instances be curb and gutter on multilane suburban associated with greater levels of ‘other’ highways is associated with a 10% lower types of collisions. collision rate.18
December 2009 Page 2.2.4.9 Cross Section Elements
Figure 2.2.4.6 Collision Modification Factor for Various Shoulder Widths versus Annual Average Daily Traffic 10
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1.2
1.0 collision modification factor
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Page 2.2.4.10 December 2009 Geometric Design Guide for Canadian Roads
2.2.5 MEDIANS AND possible. In any case, the median width should be in balance with the other elements of the OUTER cross section and the character of the area. SEPARATIONS An outer separation is that portion of an arterial 2.2.5.1 Technical Foundation street, road, expressway or freeway which physically separates the outside travel lanes of A median may be defined as that portion of a a roadway from an adjacent frontage/service road which physically separates the travel lanes road or collector road. The width of an outer of traffic in opposing directions. Median width separation is measured from the outer (right) is the lateral dimension measured between the edge of the travel lanes to the closest edge of inner (left) edges of the travel lanes and includes the parallel frontage/service road or collector the left shoulder, the gutter or offset widths, as road, and includes the shoulder and gutter or shown in Figures 2.2.1.1 and 2.2.1.2. offset widths, as shown in Figure 2.2.1.1.
A median is a safety device which provides A discussion regarding median barriers is some measure of freedom from interference presented in Chapter 3.1. of opposing traffic. Medians provide a recovery area for errant vehicles, storage area for 2.2.5.2 Freeway and Expressway emergencies, speed-change lanes for left-turn Medians: Application and U-turn traffic, and reduce headlight glare. Heuristics Medians add to a sense of open space and freedom, particularly in urban areas. 1. Rural freeways usually have depressed medians of sufficient width to allow the road Medians should be visible day and night and bed to drain into the median and to should be in definite contrast to adjacent travel eliminate the need for median barriers. lanes. Medians may be flush with, raised above, or depressed below adjacent travel lanes. 2. Median side slopes are kept flat so that a vehicle leaving the travelled lanes has an Median widths may be as narrow as 1.0 m and opportunity to recover control minimizing as wide as 30 m. Widths above 3.0 m are occupant injury and vehicle damage. usually associated with independent Overturning crashes are more frequent for alignments, in which case the roadways are deeply depressed medians with slopes of designed separately, and the area between is 4:1 or steeper for median widths of 6.0 to largely left in its natural state. Median widths 12.0 m.12 Slopes steeper than 4:1 should for rural typical sections are normally multiples be avoided and flatter slopes are desirable of 1.0 m and for urban typical sections multiples where feasible in terms of cost, drainage of 0.2 m. and property. See Chapter 3.1 for additional discussion of slopes. Medians may serve as escape routes and provide a clear zone for vehicles that are 3. Wide medians promote safety by reducing avoiding possible collisions with vehicles in their the possibility of collision by vehicles own lanes.11 The major uses of a median travelling in opposite directions; and they separation are to eliminate the risk of head-on promote a sense of well-being for the collisions and to control access. Increasing travelling public. Rural freeway medians median width reduces the frequency of cross- in the order of 20 m are common and may median collisions. Collision frequencies be as much as 30 m. Wider medians generally decrease with increasing median constitute separate alignment and widths; however, current research is insufficient independent design. to allow quantification of the collision rates versus median width.11 For that reason, 4. In metropolitan fringe areas it may be medians should be as wide as economically appropriate to build a rural freeway with a
December 2009 Page 2.2.5.1 Cross Section Elements
depressed median, recognizing that the however, to surface the median in a character of the area will become urban and contrasting texture and/or colour to alert the that future lanes will be required together errant driver travelling in the median. with a flush or raised median. The ultimate Widths of flush highway medians without cross section is designed and then median barriers can vary between 1.0 m elements removed to determine the and 4.0 m. depressed median width for the first stage. 2. Wider flush medians with barriers normally 5. In developing the ultimate cross section, the apply to high speed rural arterial roads. designer should be aware that the installation of median barriers increases the 3. Medians in urban areas may be either flush collision rate but reduces crash severity or raised. because of the reduction or elimination of head-on collisions.12 4. A median in an urban area normally does not have a barrier because it has to be 6. Consideration should be given to providing terminated at intersections and some sufficient median width to preclude median entrances, in which case the safety benefits barriers in the ultimate stage when the of the median are offset by the hazard of future lanes are added. the barrier ends. Where a barrier is applied, it is usually a concrete barrier in a flush 7. Medians for urban freeways normally are median. Shoulders are not normally either flush or raised with a median barrier. justified in urban areas, in which case the Median dimensions depend on shoulder concrete barrier is offset 0.5 m from the widths, barrier type, and the need for edge of travelled lane. Additional median provision of structure piers. See width might be required to accommodate Chapter 3.1 for a discussion of median illumination plant, bridge piers or traffic barriers. control devices.
8. The normal width of a left shoulder for an 5. Where provision for a left-turn lane is urban freeway ranges between 1.5 m and required, the median may require widening 2.5 m. Therefore the median width should to provide the appropriate lane width, be at least 3.0 m plus the width of the rounded up to a multiple of 0.2 m. selected barrier plus allowances for such factors as barrier deflection on impact if 6. Additional width may be required for bridge median barrier systems are used, piers regardless of whether barrier illumination poles, overhead sign footings protection is provided. Figure 2.2.5.2 gives and bridge piers. Further discussion on suitable dimensions for raised median barriers is contained in Chapter 3.1. treatment at bridge piers for arterial roads.
9. Typical freeway medians are shown in 7. Additional median width may be required if Figure 2.2.5.1. heavy volumes of multi-trailer trucks are anticipated at unsignalized intersections. 2.2.5.3 Arterial Road Medians: Application Heuristics 8. Medians on a divided urban street serve a variety of important purposes related to 1. A flush median without barrier may be safety, traffic operations, access control, appropriate for rural highways with low to and aesthetics including: medium volumes and operating speeds. This median is normally slightly crowned • physical separation of opposing traffic to effect drainage, and is normally paved, flows often in the same surface material as the • adjacent lanes. It is advantageous, storage area for left-turning vehicles out of the path of the through traffic stream
Page 2.2.5.2 September 1999 Geometric Design Guide for Canadian Roads
2.2.7 CURBS AND 3. In addition, the barrier type curb can contribute to a high speed errant vehicle GUTTERS vaulting over a semi-rigid traffic barrier under certain conditions. For this reason, 2.2.7.1 Technical Foundation barrier curb is generally not used on urban freeways and is considered undesirable on Curbs are raised or vertical elements, located expressways and arterials with design adjacent to a travelled lane, parking lane or speeds in excess of 70 km/h. Barrier curb shoulder. They may be employed with all types is never used in combination with rigid of urban streets for any or all of the following concrete barrier systems. reasons: 4. Semi-mountable curb is considered to be • drainage control mountable under emergency conditions. Its face slope ranges from 0.250 m/m to • delineation of the pavement edge or 0.625 m/m with a maximum vertical height pedestrian walkways to improve safety of 125 mm. Semi-mountable curbs are used on urban freeways, expressways, and • right-of-way reduction with the elimination on high speed arterials (design speed over of open ditch drainage 70 km/h) as a trade-off between drainage requirements and, when required, the • reduction in maintenance operations functional needs of semi-rigid traffic barrier systems. • access control or provision 5. Mountable curb contains a relatively flat • aesthetics sloping face (0.10 m/m to 0.25 m/m) to permit vehicles to cross over it easily. While Curbs are used only to a limited extent on rural mountable curb may be used in conjunction roadways where drainage is usually controlled with either semi-rigid or rigid traffic barrier by means of drainage channels. Concrete systems, it is preferable not to use a curb gutters are typically used to facilitate longitudinal in combination with either of these traffic drainage along urban roadways. They are often barrier systems. cast integrally with curbs, but may also have a “vee” shape when used adjacent to a concrete 6. The cross section dimensions of concrete traffic barrier. curbs and curbs with gutters vary between municipal jurisdictions. Standardization of 2.2.7.2 Curbs: Best Practices curb and gutter dimensions within a given jurisdiction is desirable for economy and There are three general types of curb: barrier, uniformity in construction and maintenance semi-mountable and mountable (see practice. Figure 2.2.7.1). Each type may be designed as a separate unit or integrated with a gutter to 7. When introducing a curb at the transition form a combination curb and gutter section. between typical rural and urban road cross sections, the curb on the urban section is 1. Barrier type curb is vertical or near vertical, normally flared out to match the edge of with a typical height of 150 mm, and is shoulder on the rural section. Flare rates intended primarily to control drainage and of 24:1 for a design speed of 80 km/h and access, as well as to inhibit low speed 15:1 for 50 km/h are considered vehicles from leaving the roadway. appropriate. The end of the curb is normally tapered down to be flush with the shoulder 2. When struck at high speeds, barrier curbs surface to prevent blunt impacts between can result in loss of vehicle control and - in the curb and vehicle tires or snow clearing spite of its name - is inadequate to prevent equipment. a vehicle from leaving the roadway.
December 2009 Page 2.2.7.1 Cross Section Elements
Figure 2.2.7.1 Curb and Gutter Types
Page 2.2.7.2 September 1999 Geometric Design Guide for Canadian Roads
preferably by using a quantitative benefit 6. Horizontal clearances to a rigid barrier on cost analysis technique and documented overpass bridges on arterial roads are by the road designer in the process of shown on Figure 2.2.10.3 while horizontal reaching such a decision. clearances to a rigid barrier on overpass bridges on freeways are provided on Figure 3. Guidelines for minimum horizontal 2.2.10.4. The rigid barrier assists in keeping clearances on bridges on urban local and errant vehicles on the bridge structure and collector roads are provided in is preferred where pedestrians are Table 2.2.10.1. accommodated on the overpass.
4. Guidelines for minimum horizontal 7. Appropriate barrier transitions should be clearance at bridges on rural roads are used on the approaches to the structure.1 shown in Table 2.2.10.2. Refer to Chapter 3.1 for additional information. 5. Guidelines for minimum horizontal clearances at bridges on urban arterial 2.2.10.4 Vertical Clearances: Design roads and urban freeways are shown on Domain and Application Figures 2.2.10.1 and 2.2.10.2. Heuristics
Refer to Chapter 2.1.
September 1999 Page 2.2.10.5 Cross Section Elements
Table 2.2.10.2 Horizontal Clearance at Bridges on Rural Roads
Design Short Overpass (<50 m) Long Overpass (>50 m) Left Right Left Righ t Sp eed (km/h) No No Sidewalk Sidewalk Sidewalk Sidewalk
Undivided 50 1.2 0.5 1.0 1.0 Local 60 1.2 0.5 1.0 1.0 70 1.2 0.5 1.0 1.0 80 1.2 0.5 1.2 1.0 90 1.2 0.5 1.2 100 1.2 0.5 1.4
Undivided 60 1.5 1.0 1.2 1.0 Collector 70 1.5 1.2 1.2 1.0 80 2.0 1.2 1.0 1.0 90 2.0 1.5 1.2 100 2.5 1.5 1.4
Divided 70 1.2 1.5 1.2 1.0 1.2 1.0 Collector 80 1.2 2.0 1.2 1.0 1.2 1.0 90 1.2 2.0 1.5 1.0 1.2 100 1.2 2.5 1.5 1.0 1.4
Undivided 80 2.5 1.5 1.5 Arterial 90 2.7 1.5 1.5 100 3.0 2.0 1.6 110 3.0 2.5 1.7 120 3.0 2.5 1.8 130 3.0 2.5 1.8
Divided 80 1.5 2.5 1.0 1.5 Arterial 90 1.5 2.7 1.0 1.5 100 2.0 3.0 1.0 1.6 110 2.0 3.0 1.0 1.7 120 2.0 3.0 1.0 1.8 130 2.0 3.0 1.0 1.8
Freeway 100 2.5 3.0 1.5 2.0 110 2.5 3.0 1.5 2.0 120 2.5 3.0 1.5 2.0 130 2.5 3.0 1.5 2.0
Notes: 1. For short overpasses (<50 m) shoulder widths should be carried across bridge. 2. All clearances should meet requirements for sight distance.
Page 2.2.10.6 December 2009 Geometric Design Guide for Canadian Roads
Figure 2.2.11.2 Nomograph for Predicting Utility Pole Collision Rate14
average annual daily traffic (vehicles/day) utility pole collision frequency (collisions/km/year)
December 2009 Page 2.2.11.3 Cross Section Elements
Page 2.2.11.4 September 1999 Geometric Design Guide for Canadian Roads
Figure 2.2.12.2 Staging of a New Four-Lane Undivided Arterial Street
method A method B
stage I ROW ROW ROW ROW sidewalk shoulder drainage ditch temporary curb or shoulder
stage II L C curb curb ROW ROW ROW ROW (existing) (existing) (existing) sidewalk sidewalk
December 2009 Page 2.2.12.5 Cross Section Elements
Page 2.2.12.6 September 1999 Geometric Design Guide for Canadian Roads
Figure 2.3.1.2 Typical Traffic Movements Within an Intersection and its Approach
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December 2009 Page 2.3.1.5 Intersections
Diverging and merging may be to the right, to designer should be cautioned, however, that the the left, mutual or multiple. number of conflict points for offset, or split T- intersection arrangements, as shown in Figures Crossings are termed “direct” if the angle of 2.3.1.1 and 2.3.2.1, would not be 18 (2 x 9); intersection is between 70° and 110° (right- instead the number of conflict points for this type angled intersection) or “oblique” if the intersection of intersection configuration (two T- angle is less than 70° or greater than 110° (oblique intersections) would likely be larger than at a intersection). single cross-intersection with 32 conflict points.
Weaving consists of the crossing of traffic The conflict areas are divided into two streams moving in the same direction. It is categories: accomplished by a merging manoeuvre followed by a diverging manoeuvre. Weaving • major conflict areas where head-on, right- sections may be considered to be simple or angle or rear-end collisions may occur multiple with a further subdivision into one-sided or two-sided weaving. • minor conflict areas where sideswipe collisions may take place Conflicts Illustrations of traffic conflict areas are shown Every rural and urban at-grade intersection has in Figure 2.3.1.4.1 It should be noted that the conflict areas. One of the main objectives of 90o T- and cross-intersections have the intersection design is to minimize the severity smallest conflict areas in comparison to the of potential conflicts between all intersection skewed cross-intersection and the multi-legged manoeuvres. intersection which have the largest.
A traffic conflict occurs whenever the paths Channelized intersections with auxiliary lanes followed by vehicles diverge, merge or cross. further reduce the conflict area size and the number of vehicles passing through the same The number of traffic conflicts at intersections intersection point by separating traffic depends on: movements into definite paths of travel using pavement markings and islands. For further • the number of one-way or two-way information on channelized intersections, see approaches to the intersection Section 2.3.6.
• the number of lanes at each approach In urban environments especially, conflicts can also occur between vehicles and pedestrians, • signal control and vehicles and bicyclists. Vehicles typically conflict with pedestrian crossing manoeuvres. • traffic volumes Vehicles can conflict with any bicycle manoeuvre. The 90° T- and cross-intersections • the percentage of right or left turns are the most straightforward intersections for pedestrian and bicycle manoeuvres, 1,6 As an example, Figure 2.3.1.3 shows conflict channelization may increase vehicle/pedestrian points for a T-intersection (three-legged) and a conflicts as pedestrians attempt to cross the cross-intersection (four-legged). With the turning roadway. addition of a single intersection leg, the number of conflict points increases from 9 to 32. The Prohibited Turns difference in collision rates at three- and four- legged intersections is also illustrated on Prohibited turns can be discouraged by designing Figure 2.3.1.3. It is shown that as traffic volume tight or extended curb returns which make it increases, the role the increased number of difficult to achieve these turns. Channelization conflict points at a four-legged intersection plays is also used to restrict or prevent prohibited, in collision rate, becomes more significant.6 The undesirable or wrong-way movements. In
Page 2.3.1.6 December 2009 Geometric Design Guide for Canadian Roads
Figure 2.3.1.3 Conflict Points and Collision Rates of Three- and Four-Legged Intersections 1,6
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December 2009 Page 2.3.1.7 Intersections
Figure 2.3.1.4 Conflict Areas at Intersections 1