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Sight Distance CTC 440
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Objectives Understand the meanings of “sight distance”and “stopping sight distance” Understand how to determine minimum SSD’s Understand how to calculate SSD and HSD for vertical alignments
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Sight Distance Length of roadway ahead visible to the driver Note: The minimum designed stopping sight distance should be long enough for a driver going at design speed to see an object (potential hazard) and stop before hitting the object
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Minimum Required Stopping Sight Distance Two components: Distance traveled while reacting (2.5 seconds assumed reaction time) Distance traveled while braking Assumes wet road (decel rate of 3.4 m/sec 2 or 11.2 ft/sec 2 ) Can be calculated; however, minimum is usually obtained by HDM, chapter 2 or AASHTO book
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Minimum Design SSD; 2001 AASHTO
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During Design Determine minimum SSD Calculate actual SSD/HSD and check that it meets the minimum SSD-actual stopping sight distance (crest) HSD-headlight sight distance (sag)
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Vertical Curves Crest Curves (3 types) Sag Curves (3 types) Careful with signs of G1 and G2!!
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Crest Vertical Curve Height of Eye: 1070 mm; 3.5 ft Height of Object: 600 mm; 2.0 ft (for passing HO=1070 mm; 3.5 ft) G 1 and G 2 -grades (%) L=length of vertical curve (ft or m) S=sight distance (ft or m)
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Metric Equations-Crest Curves S>L L=2S-[658/(G 1 -G 2 )] S<L L=[(G 1 -G 2 )*S 2 ]/658 Whether S is greater or less than L is often not known; must assume, calculate, and then recheck that assumption is correct
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English Equations-Crest Curves S>L L=2S-[2158/(G 1 -G 2 )] S<L L=[(G 1 -G 2 )*S 2 ]/2158 Whether S is greater or less than L is often not known; must assume, calculate, and then recheck that assumption is correct
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Crest Curve Example English, Solve for L G1=+3.9% and G2=+1.1% PVI Sta=20+50; Elev=1005.00’ Determine the minimum length of crest vertical curve for a design speed of 50 mph
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2001 AASHTO
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Crest Curve Example Minimum SSD is 425’ (see previous slide) Assume S<=L G1-G2=2.8 L=234’ (Check S<L; no) Assume S>L L=80’ (Check S>L; yes)
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Sag Vertical Curve Headlight Height: 600 mm; 2 ft Headlight Divergence of 1 degree upwards G 1 and G 2 -grades (%) L=length of vertical curve (ft or m) S=sight distance (ft or m)
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Metric Equations-Sag Curves S>L L=2S-[(120+3.5*S)/[(G 2 -G 1 )] S<L L=[(G 2 -G 1 )*S 2 ]/[120+3.5*S)] Whether S is greater or less than L is often not known; must assume, calculate, and then recheck that assumption is correct
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English Equations-Sag Curves S>L L=2S-[(400+3.5*S)/[(G 2 -G 1 )] S<L L=[(G 2 -G 1 )*S 2 ]/[400+3.5*S)] Whether S is greater or less than L is often not known; must assume, calculate, and then recheck that assumption is correct
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Sag Curve Example Metric; Solve for L G1=+1.86% and G2=+5.04% L=300m Find HSD Assume S>L S=375m (S>L; ok) Note: S<L; quadratic equation
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Sight Distance on Horizontal Curves Sight distance can also be a problem on horizontal curves (buildings, embankments, tree growth, etc.) The line of sight is a chord of the curve. The sight distance should be measured along the centerline of the inside lane of the curve (not the centerline of the roadway)
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Sight Distance on Horizontal Curves
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Passing Sight Distance Distance required for a moving vehicle to overtake and pass another vehicle in the same traffic lane Three distances: Distance traveled by the passing vehicle during perception, reaction and acceleration Distance traveled by the vehicle being passed Distance traveled by an oncoming vehicle during the passing maneuver
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Intersection Sight Distance Intersection sight distances should also be looked at. Can someone turning onto a major road see far enough ahead to safely pull out? Usual culprits: guide railing, signs, embankments, plantings
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Intersection Sight Distance http://www.ite.org/css/online/DWUT10.html
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Next lecture Superelevation
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