Highway Design and Safety Parameters

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Questions and Answers

The cross section of a typical highway has a latitude of variables to consider such as the volume of traffic and the character of the ______.

traffic

A 7.20 meters wide pavement has 18% less accident records compared with pavement narrower than ______ m wide.

5.50

According to accident records, there was no difference between the ______ meters and the 7.20 meters wide pavement.

6.60

For the 6.00 m, 6.60 m, and 7.20 meters wide pavement with 2.70 to 3.00 m wide shoulder, recorded accident decreases by ______% compared to 0 to 0.60 m wide shoulder.

<p>30</p> Signup and view all the answers

The method of plotting the existing cross section is used for the purpose of obtaining quantities such as volumes for cut or ______.

<p>fill</p> Signup and view all the answers

The procedure involves staking the centerline, then elevations are obtained at strategic points on the right angle to the ______.

<p>centerline</p> Signup and view all the answers

A cross section design generally offers the expected level of service for ______.

<p>safety</p> Signup and view all the answers

Super elevation is an important consideration in the geometric design for ______ and railways.

<p>highways</p> Signup and view all the answers

The minimum sight distance available on a highway is called ______.

<p>SSD</p> Signup and view all the answers

The height of the driver’s eye above the road surface is typically ______ meters.

<p>1.2</p> Signup and view all the answers

In sight distance calculations, the height of the object above the road surface is generally ______ meters.

<p>0.15</p> Signup and view all the answers

Factors that affect sight distance include the total reaction time of the driver and the ______ of the vehicle.

<p>speed</p> Signup and view all the answers

The time taken from when an object is seen to when the brake is applied is known as the total ______ time.

<p>reaction</p> Signup and view all the answers

The two parts of total reaction time are perception time and brake ______ time.

<p>reaction</p> Signup and view all the answers

The height of the driver’s eye is considered while measuring sight distance to prevent ______ with obstructions.

<p>collisions</p> Signup and view all the answers

A slope of 2.5:1 refers to the side ______ of a roadway.

<p>slope</p> Signup and view all the answers

The prismoidal formula for volume is given by 𝑽𝑷 = 𝟔 [𝑨𝟏 + 𝟒𝑨𝒎 + 𝑨𝟐], where 𝑨𝟏, 𝑨𝒎, and 𝑨𝟐 represent different areas and 𝑉 stands for ______.

<p>volume</p> Signup and view all the answers

To find the volume with prismoidal correction, we use the formula 𝑽𝑪 = (𝑪𝟏 - 𝑪𝟐) (𝑫𝟏 - 𝑫𝟐) / ______.

<p>12</p> Signup and view all the answers

In Example #1, the trench was found to be 4.8m wide and ______ deep at Station 5+420.

<p>1.8m</p> Signup and view all the answers

At Station 20+200, the left value is 6.60, the center value is 0, and the right value is ______.

<p>4.80</p> Signup and view all the answers

In the example involving a cross-sectional area, the given area was 13.1625 m2 with a side slope of 1.5:1 and a road width of ______.

<p>6m</p> Signup and view all the answers

In the example #2, the area at station B was to be determined if the total area is ______.

<p>16.82 m2</p> Signup and view all the answers

The formula used for the END – AREA METHOD is 𝑽𝐸 = ______.

<p>𝑳 (𝑨𝟏 + 𝑨𝟐) / 2</p> Signup and view all the answers

The rectangular trench example shows measurements at Sta. 5+420 and Sta. 5+450, highlighting a change in width from ______ to 5.20m.

<p>4.8m</p> Signup and view all the answers

The initial grade of the vertical curve is [-3.2%] and the final grade is ______.

<p>+2.1%</p> Signup and view all the answers

The height of the obstruction mentioned is ______ centimeters.

<p>100</p> Signup and view all the answers

The stopping sight distance required for the design is ______ meters.

<p>310</p> Signup and view all the answers

The average height of headlights of vehicles that will pass through the road is ______ centimeters.

<p>60</p> Signup and view all the answers

The term for the minimum distance needed for a safe overtaking maneuver is ______ sight distance.

<p>overtaking</p> Signup and view all the answers

When overtaking, the vehicle occupies the ______ lane.

<p>left</p> Signup and view all the answers

The safest sight distance for entering an uncontrolled intersection is referred to as ______ sight distance.

<p>intersection</p> Signup and view all the answers

In rural areas, the guideline considers the ______ where the road is being constructed.

<p>terrain</p> Signup and view all the answers

The corner sight distance available in an intersection allows a driver to observe the actions of vehicles on the crossing ______.

<p>leg(s)</p> Signup and view all the answers

Evaluations involve establishing the needed sight ______ in each quadrant.

<p>triangle</p> Signup and view all the answers

A clear sight triangle must be free of sight ______ such as buildings, vehicles, and trees.

<p>obstructions</p> Signup and view all the answers

The coefficient of friction between the tires and the road is ______.

<p>0.5</p> Signup and view all the answers

To avoid a head-on collision, the minimum sight distance must be calculated based on the speeds of two cars approaching at ______ kph and 60 kph.

<p>90</p> Signup and view all the answers

The minimum length of a crest vertical curve must provide a stopping sight distance of ______ m.

<p>180</p> Signup and view all the answers

Assume eye-height of ______ m and object height of 0.15 m for the calculations.

<p>1.07</p> Signup and view all the answers

For a design speed of 80 kph, compute the minimum length of vertical curve that provides ______-m of stopping sight distance.

<p>130</p> Signup and view all the answers

The stopping sight distance may be expressed where v is in ______ and a is the braking action deceleration.

<p>kph</p> Signup and view all the answers

Braking action is based on the driver's ability to ______ the vehicle while maintaining control.

<p>decelerate</p> Signup and view all the answers

A deceleration rate of ______ m/s² is comfortable for 90% of drivers.

<p>3.4</p> Signup and view all the answers

In the example provided, the vehicle is traveling at ______ kilometers per hour.

<p>35</p> Signup and view all the answers

If the coefficient of friction between the road and tires is ______, the driver's braking performance can be evaluated.

<p>0.35</p> Signup and view all the answers

The driver steps on the brakes ______ seconds after seeing the obstruction.

<p>2</p> Signup and view all the answers

The wall in the example is ______ meters high.

<p>2</p> Signup and view all the answers

If SSD is greater than ______, the vehicle will not hit the wall.

<p>30</p> Signup and view all the answers

Flashcards

Highway Geometric Design

The process of planning and designing the physical layout of a highway, including elements like curves, slopes, and sight distances.

Super Elevation

The banking of a road on a curve to counteract the centrifugal force experienced by vehicles, ensuring they don't slide outwards.

Earthwork

The process of moving earth to create or modify the terrain to accommodate a highway or railway, including excavation and embankment.

Cross Section

A slice through a highway or railway, showing its width, lanes, shoulders, and other features.

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What factors affect the cross section design?

The volume, character, and speed of traffic, as well as vehicle characteristics and driver behavior.

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How does pavement width affect accidents?

Wider pavements generally reduce accidents, with significant reductions observed between narrow (<5.5 m) and wider (7.2 m) pavements.

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How do shoulders affect accidents?

Wider shoulders with a width of 2.7 to 3.0 meters are associated with notably lower accident rates compared to narrower shoulders.

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What is cross-sectional data used for?

Used to determine the volume of earth that needs to be either removed (cut) or added (fill) to build a highway or railway.

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Prismoidal Formula

A formula used to calculate the volume of a solid that has a varying cross-section, like a trench.

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Prismoidal Correction

A correction applied to the volume calculated by the Prismoidal Formula to account for the difference between the true volume and the volume calculated.

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What is the goal in calculating earthworks?

To determine the volume of earth that needs to be moved or filled during a construction project.

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End-Area Method

A method used to calculate the volume of earthworks by calculating the areas of the cross-sections at the ends of a section and then averaging them.

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How does the Prismoidal formula work?

It takes into account the areas at the beginning, end, and midpoint of a section to calculate a more accurate volume.

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What does 'side slopes' refer to in earthworks?

The angle of the sides of a cut or fill, expressed as a ratio.

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What is the base width in earthworks?

The horizontal distance across the bottom of a cut or fill.

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Cross-sectional Area

The area of a slice taken perpendicular to the length of the earthwork.

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Stopping Sight Distance (SSD)

The minimum distance required for a vehicle traveling at design speed to safely stop without hitting an obstacle.

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Driver's Eye Height (H)

The vertical distance from the road surface to the driver's eye level.

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Object Height (h)

The vertical distance from the road surface to the top of the object (like a sign or a car).

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Total Reaction Time

The time it takes a driver to perceive an obstacle, react, and apply the brakes.

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Perception Time

The time it takes a driver to realize they need to stop after seeing an obstacle.

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Brake Reaction Time

The time it takes a driver to physically press the brake pedal after recognizing the need to stop.

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Factors Affecting SSD

The factors influencing the stopping sight distance, including driver reaction time, vehicle speed, brake efficiency, road friction, and road slope.

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Braking Action

The driver's ability to slow down the vehicle safely while maintaining control.

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Deceleration

The rate at which a vehicle slows down, measured in meters per second squared (m/s²).

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Coefficient of Friction (f)

The value representing how much friction exists between the road surface and the vehicle's tires.

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Reaction Time (t)

The time it takes a driver to perceive a hazard and react by applying the brakes.

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Braking Distance

The distance covered by a vehicle after the brakes are applied until it comes to a complete stop.

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SSD Formula (Simplified)

SSD = (Reaction Time x Velocity) + (Velocity² / [2 x Gravity x (Friction ± Gradient)])

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Will the vehicle hit the wall?

To determine if the vehicle will hit the wall, calculate the SSD using the given information and compare it to the distance to the wall.

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Stopping Sight Distance

The minimum distance required for a vehicle to safely stop before hitting an obstacle. It's calculated considering factors like initial speed, driver reaction time, and road conditions.

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Initial Grade

The slope of the road at the beginning of a vertical curve. It's expressed as a percentage, indicating the change in elevation over a given distance.

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Final Grade

The slope of the road at the end of a vertical curve. Like the initial grade, it's expressed as a percentage and indicates the change in elevation over a given distance.

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Overtaking Sight Distance (PSD)

The minimum clear distance needed for a vehicle to safely overtake another vehicle on a two-lane road. It's calculated considering factors like vehicle speeds, passing time, and oncoming traffic.

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Initial Maneuver Distance (d1)

The distance a vehicle travels during the initial phase of overtaking, while accelerating and moving to the left lane.

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Passing Distance (d2)

The distance a vehicle travels while it's fully occupying the left lane and passing the slower vehicle.

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Clearance Length (d3)

The distance required between passing vehicles and oncoming traffic for safety.

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Opposing Vehicle Distance (d4)

The distance an approaching vehicle travels during the overtaking maneuver, while maintaining its lane.

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Corner Sight Distance

The minimum distance a driver needs to see in each quadrant of an intersection to safely maneuver their vehicle.

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Sight Triangle

The triangular area in each quadrant of an intersection that must be free of obstructions to ensure adequate visibility.

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Crest Vertical Curve

A curved section of road that connects two grades with different slopes, ensuring smooth transitions.

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Design Speed

The maximum speed a vehicle can safely travel on a road segment based on its geometric design.

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Eye Height

The height of the driver's eye above the road surface.

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Object Height

The height of an object on the road that needs to be visible to the driver.

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Grade

The steepness of a road expressed as a percentage.

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Study Notes

Highway and Railroad Engineering: Lesson 4.2

  • The lesson covers geometric design for highways and railways
  • Topics include spiral curves, super elevation, earthwork, and sight distance

Geometric Design for Highway and Railways

  • Variables for highway cross-section design include traffic volume, traffic characteristics, traffic speed, and characteristics of vehicles and drivers
  • A wider pavement (7.20 meters) has fewer accidents compared to narrower pavements (less than 5.50 meters)
  • A 7.20-meter wide pavement displayed 18% less accidents compared to narrower ones, and 4% fewer accidents compared to a 6.00 meter roadway
  • Accident records show no difference between 6.60 meters and 7.20 meters wide pavements
  • A wider pavement with 2.70-3.00 meter shoulder saw a 30% decrease in accidents whereas a pavement with 0-0.60 meter shoulder showed a 20% decrease in accidents when compared with a width of 0.90 to 1 .20 meter

Topics Outline

  • Spiral curves
  • Super elevation
  • Earthwork
  • Sight distance

Cross Section of Typical Highway - Earthwork

  • The volume of traffic
  • Character of the traffic
  • Speed of the traffic
  • Characteristics of motor vehicles and drivers
  • A cross-section design generally offers the expected level of service for safety
  • A recent study showed a 7.20-meter wide pavement has 18% fewer accidents than narrower pavements

Cross Section Method - Earthwork

  • Plotting the existing cross-section perpendicular to a line for volume calculation
  • Elevations are taken at strategic points on the right angle of centerline at full or half-station intervals
  • Data is needed to estimate the amount of cut or fill needed for a roadway strip

Volume Approximation Methods in Earthwork

  • End-area method: Ve = ½ [A1 + A2]
  • Prismoidal formula: Vp = ⅓ L [A1 + 4Am + A2]
  • Prismoidal correction: Vc = ⅓ (C1 - C2)(D1 - D2) /12 Example calculations are provided in the slides.

Sight Distance

  • Distance a driver can see an object

  • Depends on driver's vision and atmospheric conditions

  • Factors affecting stopping sight distance (SSD): driver reaction time, speed of vehicle, efficiency of brakes, frictional resistance between road and tire, and road gradient

  • Total reaction time is divided into perception time (object comes into sight to recognizing need to stop) and brake reaction time (time from realizing need to stop to pressing brake)

  • Stopping sight distance calculations use PIEV theory (Perception, Intellection, Emotion, Volition)

  • Analysis of SSD: the sum of lag distance (distance vehicle travels during reaction time) and braking distance.

  • Lag distance = v * t

  • -v = design speed, t = total reaction time

  • Braking Distance = v^2 / 2gf

    • v = speed
    • g = gravitational acceleration (9.81 m/s^2)
    • f = coefficient of longitudinal friction
  • Calculations for different scenarios are included.

  • Types of sight distance:

  • Stopping sight distance (SSD)

  • Safe overtaking sight distance (OSD)

  • Elements of OSD calculation process:

  • Initial maneuver distance (d₁)

  • Distance during passing (d₂)

  • Clearance length (d₃)

  • Distance opposing vehicle travels (d₄)

  • Sight distance values are determined using AASHTO policy for highway and street design

  • Terrain considerations for rural areas are also demonstrated

  • Additional examples are provided in the slides.

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