Difference between revisions of "905.1 Traffic Data Collection"

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To perform a traffic study, certain data should be collected.  A good source of data can be obtained from MoDOT’s Transportation Management System (TMS).  TMS has inventories for roadway information as well as crash information.  For some traffic studies, data from TMS may be enough.  For other studies, field data will be required.  The Traffic Data Collection article will show data available from TMS and data required from the field.
 
  
 +
To perform a traffic study, certain data should be collected. A good source of data can be obtained through MoDOT’s tools, that include:
 +
:* [[:Category:145 Transportation Management Systems (TMS)|Transportation Management System (TMS)]] -  has inventories for roadway information as well as crash information.
 +
:* [https://www.modot.org/traffic-volume-maps Interactive AADT Map] – shows traffic volumes at some locations that are associated with actual count data and some data that are estimated volumes (not based on count data).  This map breaks down traffic by both generalized vehicle classifications and directional, hourly volume breakdowns.
  
 +
For some traffic studies, data from TMS or interactive AADT map may be enough. For other studies, field data will be required. EPG 905.1 Traffic Data Collection shows how to “right-size data collection” based on purpose and need of study. Refer to [[905.3 Transportation Impact Analysis#905.3.3 Data Collection|EPG 905.3.3 Data Collection]] for how to collect data in a Transportation Impact Analysis.
  
 +
==905.1.1 [http://tms/home/ Transportation Management System (TMS)]==
  
{|style="padding: 0.3em; margin-left:1px; border:1px solid #a9a9a9; text-align:center; font-size: 95%; background:#ffddcc" width="210px" align="right"
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===905.1.1.1 [http://tms/Safety/CrashSummary.aspx Crash Summary]===
|-
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The Crash Summary TMS application ties roadway data to crash data. In TMS, select the menu options Applications + Safety Management System + Crash Summary, An example of the Crash Summary application may look like the following:  
|'''Transportation Management Systems, Assessment'''
 
|-
 
|[http://library.modot.mo.gov/RDT/reports/Ri01046b/Brf04002.pdf Summary 2004]
 
|-
 
|[http://library.modot.mo.gov/RDT/reports/Ri01046b/RDT04002.pdf Report 2004]
 
|-
 
|'''See also:''' [http://www.modot.gov/services/OR/byDate.htm Innovation Library]
 
|}
 
==905.1.1 [http://tmshome Transportation Management System (TMS)]==
 
 
 
===905.1.1.1 Accident Summary===
 
The Accident Summary TMS application ties roadway data to crash data.  An example of the Accident Summary application may look like the following:
 
  
 
   
 
   
[[image:905.3.1.1 Intersection.gif|center|725px|thumb|<center>'''Accident Summary by Intersection'''</center>]]
+
[[image:905.1.1.1.jpg|center|725px]]
 
[[image:905.3.1.1 Range.gif|center|725px|thumb|<center>'''Accident Summary by Range'''</center>]]
 
  
 
From the application, the following information can be found:
 
From the application, the following information can be found:
Line 30: Line 20:
 
:* Crashes by severity
 
:* Crashes by severity
 
:* AADT
 
:* AADT
:* Accident rate (intersection or range)
+
:* Crash rate (intersection or range)
:* State Accident Rate (by route designation & by roadway type)
+
:* State Crash Rate (by route designation & by roadway type)
:* Accident Class
+
:* Crashes by types.
  
The Accident Summary application provides a quick review of crash severity, comparative crash rates, and accidents by classification.
+
The Crash Summary application provides a quick review of crash severity, comparative crash rates, and crashes by classification.  
  
For range studies, accident rates calculated by TMS is frequency based, determined by the total number of crashes per 100 million vehicle miles traveled. Below is the equation used to calculate range crash rates:
+
For range studies, crash rates calculated by TMS are frequency based, determined by the total number of crashes per 100 million vehicle miles traveled. Below is the equation used to calculate range crash rates:  
  
 
:<math>\mbox{Crash rates for ranges} =\frac{\mbox{No. of Accidents x 100,000,000}}{\mbox{No. of Years x AADT x Range Length x 365 days/year}}</math>
 
:<math>\mbox{Crash rates for ranges} =\frac{\mbox{No. of Accidents x 100,000,000}}{\mbox{No. of Years x AADT x Range Length x 365 days/year}}</math>
  
Range lengths of more than one mile should be used in the calculation, if practical. As seen in the rate calculation, an accident rate for a route less than one mile long will result in an artificially high crash rate.
+
Range lengths of more than one mile should be used in the calculation, if practical. As seen in the rate calculation, an crash rate for a route less than one mile long will result in an artificially high crash rate.  
  
For intersection studies, accident rates calculated by TMS are also frequency-based but are determined by the total number of crashes by 1 million entering vehicles. Below is the equation used to calculate intersection crash rates:  
+
For intersection studies, crash rates calculated by TMS are also frequency-based but are determined by the total number of crashes by 1 million entering vehicles. Below is the equation used to calculate intersection crash rates:    
  
 
:<math>\mbox{Crash rates for intersection} =\frac{\mbox{No. of Accidents x 1,000,000}}{\mbox{No. of Years x Entering AADT x 365 days/year}}</math>
 
:<math>\mbox{Crash rates for intersection} =\frac{\mbox{No. of Accidents x 1,000,000}}{\mbox{No. of Years x Entering AADT x 365 days/year}}</math>
  
Crash rates are a good indication of the level of operation for an intersection. It is not easy to determine if an individual crash rate is good or bad by itself. For this reason, there is a State Rate available for comparison. For range studies, the Accident Summary application compares the selected route to statewide routes of similar route designations (IS, US, MO, RT, etc.) and route type (freeway, expressway, two-lane, etc.). For intersection studies, a similar concept is in place to compare intersection with similar geometric design and entering volumes. Due to roadway data constraints at this time, not all intersections are comparable to statewide rates.
+
Crash rates are a good indication of the level of operation for an intersection. It is not easy to determine if an individual crash rate is good or bad by itself. For this reason, there is a State Rate available for comparison. For range studies, the Crash Summary application compares the selected route to statewide routes of similar route designations (IS, US, MO, RT, etc.) and route type (freeway, expressway, two-lane, etc.). For intersection studies, a similar concept is in place to compare intersection with similar geometric design and entering volumes. Due to roadway data constraints at this time, not all intersections are comparable to statewide rates.
 
+
Additional information available through Accident Summary is the Accident Class, Statewide Average Accident Rates and ARAN video.  The Accident Class field provides a general description of the crash; i.e. rear-end, head-on, left turn, etc. The Statewide Average Accident Rate application can be launched to see more in depth review of available accident rates. The ARAN video is available for most routes that allow the user to view the road as driven by the ARAN van.
+
Additional information available through Crash Summary is the Crash Types, Statewide Average Crash Rates, and ARAN video.  The Crash Type field provides a general description of the crash; i.e. rear-end, head-on, left turn, etc. The Statewide Average Crash Rate application can be launched to see more in-depth review of available crash rates. The ARAN video is available for most routes that allow the user to view the road as driven by the ARAN van.  
 
 
===905.1.1.2 Accident Browser===
 
The Accident Browser application can be launched from the Accident Summary application or from the TMS menu.  An example of the Accident Summary application may look like the following:
 
  
 +
===905.1.1.2 Crash Browser===
 +
The Crash Browser application can be launched from the Crash Summary application or from the TMS menu Applications + Safety Management System + Crash Browser.  An example of the Crash Browser application may look like the following:
 
   
 
   
[[image:905.3.1.2.gif|center|725px|thumb|<center>'''Accident Browser'''</center>]]
+
[[image:905.1.1.2.jpg|center|725px]]
  
 
From the application, the following information can be found:
 
From the application, the following information can be found:
  
:* Accident location
+
:* Crash location
:* Accident classification
+
:* Crash classification
:* Accident date  
+
:* Crash date  
:* Accident severity
+
:* Crash severity
:* Accident image number
+
:* Crash image number
:* Accident relation to roadway (range/intersection/interchange)
+
:* Crash relation to roadway (range/intersection/interchange)
 
:* Light condition
 
:* Light condition
 
:* Road surface condition
 
:* Road surface condition
 
:* Weather condition
 
:* Weather condition
  
This information can be used to determine when crashes are occurring and the best times to go to the field to collect data and observe traffic conditions.  Additionally, the collision diagram software and ARAN video can be launched from the Accident Browser application.   
+
This information can be used to determine when crashes are occurring and the best times to go to the field to collect data and observe traffic conditions.  Additionally, the collision diagram software and ARAN video can be launched from the Crash Browser application.   
  
===905.1.1.3 Statewide Average Accident Rates===
+
===905.1.1.3 [http://tms/Safety/StatewideCrashRates.aspx Statewide Average Crash Rates]===
The Statewide Average Accident Rates application can be launched from the TMS Menu or Accident Summary application. The application allows the user to view crash rates by state, district or county for many combinations of crash severity and roadway information. The Statewide Average Accident Rates are used to determine if the studied range is above or below the statewide average.
+
The Statewide Average Crash Rates application can be launched from the TMS Menu or Crash Summary application. The application allows the user to view crash rates by state, district or county for many combinations of crash severity and roadway information. The Statewide Average Crash Rates are used to determine if the studied range is above or below the statewide average.  
  
===905.1.1.4 Intersection Expected Accident Rates===
+
===905.1.1.4 [http://tms/Safety/IntersectionExpectedValue.aspx Intersection Expected Values]===
The Intersection Expected Accident Rates application can be launched from the TMS Menu. The application allows the user to compare the intersection being studied with other intersections in the state with similar roadway and traffic characteristics.
+
The Intersection Expected Crash Rates application can be launched from the TMS Menu. The application allows the user to compare the intersection being studied with other intersections in the state with similar roadway and traffic characteristics.
  
 
===905.1.1.5 Queries & Reports===
 
===905.1.1.5 Queries & Reports===
Queries & Reports are located under the TMS menu. Within the Queries & Reports menu are applications that will provide pavement reports, safety reports, state of the system (SOS) reports and traffic reports. The safety reports include the Accident Statistics Manual, High Severity Lists and various other accident reports by severity. The SOS reports provide roadway inventory information. The traffic reports provide AADT information for all state routes.   
+
Queries & Reports are located under the TMS menu . Within the Queries & Reports menu are applications that will provide pavement reports, safety reports, state of the system (SOS) reports and traffic reports. The safety reports include the Crash Statistics Manual, High Severity Lists   and various other crash reports by severity. The SOS reports provide roadway inventory information. The traffic reports provide AADT information for all state routes.   
  
 
===905.1.1.6 ArcMAP Queries===
 
===905.1.1.6 ArcMAP Queries===
Line 83: Line 72:
  
 
===905.1.1.7 Direct access to TMS Databases===
 
===905.1.1.7 Direct access to TMS Databases===
TMS users have direct access to the TMS databases. Linking databases by using software such as Microsoft Access, allows TMS users to query data in a specialized manner. While the applications in TMS allow for most combinations of data, the applications cannot account for every scenario. When such a scenario occurs, specialized queries must be used.
+
Authorized TMS users have direct access to the TMS databases. Linking databases by using software such as Microsoft Access, allows TMS users to query data in a specialized manner. While the applications in TMS allow for most combinations of data, the applications cannot account for every scenario. When such a scenario occurs, specialized queries must be prepared by those with expertise in query languages and the details of the TMS Database.  
  
 
==905.1.2 Non-TMS Field Data==
 
==905.1.2 Non-TMS Field Data==
 
[[image:905.3.2.1 permanent traffic counter.jpg|right|350px|thumb|<center>'''Installing a permanent traffic counter'''</center>]]
 
[[image:905.3.2.1 permanent traffic counter.jpg|right|350px|thumb|<center>'''Installing a permanent traffic counter'''</center>]]
While some field data may be available in TMS, it is often useful to obtain current data from the field. The TMS applications are data intensive. Very few state routes are counted every year. Traffic patterns can change quickly with new developments. For these reasons, it is encouraged to obtain field data for traffic studies.
+
While some field data may be available in TMS, it is often useful to obtain current data from the field. The TMS applications are data intensive. Very few state routes’ data are updated every year. Traffic patterns can change quickly with new developments. For these reasons, it is encouraged to obtain field data for traffic studies.  
  
 
===905.1.2.1 Traffic Counts===
 
===905.1.2.1 Traffic Counts===
As mentioned, traffic patterns can change quickly. There are several ways to review traffic data that may be important to the study. For intersections, it is not uncommon to perform a 12-hour turning movement count. When counting an intersection for 12 hours, track the turning movements by 15-minute intervals. By tracking vehicle actions using 15-minute intervals, the intersection can be reviewed for peak hour(s) movements and assist in signal timing plans.
+
As mentioned, traffic patterns can change quickly. There are several ways to review traffic data that may be important to a study. For intersections, it is common to perform a 12-hour turning movement count. When counting an intersection for 12 hours, track the turning movements by 15-minute intervals. By tracking vehicle actions using 15-minute intervals, the intersection can be reviewed for peak hour(s) movements and assist in signal timing plans.  
  
When the traffic study involves a range location, count cards can be placed to gather AADT and sometimes speed. Due to new developments and the TMS count cycle, it may be a couple years before a road is counted. It is also good to confirm the information in TMS. While in the field gathering traffic counts, it is a good idea to perform a spot speed study as well.
+
When the traffic study involves a range location, count devices can be placed to gather AADT and sometimes speed. Due to new developments and the TMS count cycle, it may be a couple years before a road is counted. It is also good to confirm the information in TMS. While in the field gathering traffic counts, it is a good idea to perform a spot speed study as well.  
  
 
===905.1.2.2 Speed Study===
 
===905.1.2.2 Speed Study===
Line 98: Line 87:
  
 
===905.1.2.3 Traffic Flow===
 
===905.1.2.3 Traffic Flow===
While performing a traffic study for either an intersection or range, take notes about the traffic flow.  Look for erratic and illegal maneuvers or other operational problems, as these may indicate signing needs or other operational deficiencies.
+
While performing a traffic study for either an intersection or range, take notes about the traffic flow.  Look for erratic and illegal maneuvers or other operational problems, as these may indicate signing/striping needs or other operational deficiencies.
  
 
===905.1.2.4 Condition Diagram===
 
===905.1.2.4 Condition Diagram===
As mentioned in the HAL Manual, the Condition Diagram is a drawing (to scale, if practical), of the existing roadway, control device locations and major features in the nearby environment.
+
As mentioned in [[907.5 S-HAL|the S-HAL]], the Condition Diagram is a drawing (to scale, if practical), of the existing roadway, control device locations and major features in the nearby environment.
  
 
===905.1.2.5 Sight Distance Measurements===
 
===905.1.2.5 Sight Distance Measurements===
 
[[230.2 Vertical Alignment#230.2.4 Sight Distance|Sight Distances]] should be measured for at-grade intersections and ranges.  There are four basic sight distance measurements that will be obtained:
 
[[230.2 Vertical Alignment#230.2.4 Sight Distance|Sight Distances]] should be measured for at-grade intersections and ranges.  There are four basic sight distance measurements that will be obtained:
  
:* [http://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.5_Stopping_Sight_Distance_and_K_Factors Stopping Sight Distance]
+
:* [https://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.5_Stopping_Sight_Distance_and_K_Factors Stopping Sight Distance]
:* [http://epg.modot.org/index.php?title=233.2_At-Grade_Intersections_with_Stop_and_Yield_Control#233.2.1__Intersection_Sight_Distance_Criteria Entering Sight Distance]
+
:* [https://epg.modot.org/index.php?title=233.2_At-Grade_Intersections_with_Stop_and_Yield_Control#233.2.1__Intersection_Sight_Distance_Criteria Intersection Sight Distance]
:* [http://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.6_Decision_Sight_Distance Decision Sight Distance] and
+
:* [https://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.6_Decision_Sight_Distance Decision Sight Distance] and
:* [http://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.7_Passing_Sight_Distance Passing Sight Distance].
+
:* [https://epg.modot.org/index.php?title=230.2_Vertical_Alignment#230.2.7_Passing_Sight_Distance Passing Sight Distance].
  
 
Sight distances will be measured for
 
Sight distances will be measured for
Line 120: Line 109:
 
:* [[233.4 At-Grade Intersections with Signal Control|At-grade intersections with Signal Control]].
 
:* [[233.4 At-Grade Intersections with Signal Control|At-grade intersections with Signal Control]].
  
If sight distance is being reviewed due to an entrance permit, refer to [[941.19 Sight Distance for Entrances|EPG 941.19 Sight Distance for Entrances]].
+
If sight distance is being reviewed due to an entrance permit, refer to [[:Category:941 Permits and Access Requests#941.7 Sight Distance for Entrances|EPG 941.7 Sight Distance for Entrances]].
  
 
===905.1.2.6 Measuring Degree of Curvature===
 
===905.1.2.6 Measuring Degree of Curvature===
Line 141: Line 130:
  
 
====<center>''Table 905.1.2.6''</center>====
 
====<center>''Table 905.1.2.6''</center>====
 +
<center>
 
{| border="1" class="wikitable" style="margin: 1em auto 1em auto" style="text-align:center"
 
{| border="1" class="wikitable" style="margin: 1em auto 1em auto" style="text-align:center"
 
|+  
 
|+  
Line 163: Line 153:
 
|62||9||0.157079633||637.2747422||0.097327689||0.75||9.05
 
|62||9||0.157079633||637.2747422||0.097327689||0.75||9.05
 
|}
 
|}
 +
</center>
  
 
[[Category:905 Traffic Studies]]
 
[[Category:905 Traffic Studies]]

Latest revision as of 14:43, 22 November 2021

905.3.jpg


To perform a traffic study, certain data should be collected. A good source of data can be obtained through MoDOT’s tools, that include:

  • Transportation Management System (TMS) - has inventories for roadway information as well as crash information.
  • Interactive AADT Map – shows traffic volumes at some locations that are associated with actual count data and some data that are estimated volumes (not based on count data). This map breaks down traffic by both generalized vehicle classifications and directional, hourly volume breakdowns.

For some traffic studies, data from TMS or interactive AADT map may be enough. For other studies, field data will be required. EPG 905.1 Traffic Data Collection shows how to “right-size data collection” based on purpose and need of study. Refer to EPG 905.3.3 Data Collection for how to collect data in a Transportation Impact Analysis.

905.1.1 Transportation Management System (TMS)

905.1.1.1 Crash Summary

The Crash Summary TMS application ties roadway data to crash data. In TMS, select the menu options Applications + Safety Management System + Crash Summary, An example of the Crash Summary application may look like the following:


905.1.1.1.jpg

From the application, the following information can be found:

  • Crashes by severity
  • AADT
  • Crash rate (intersection or range)
  • State Crash Rate (by route designation & by roadway type)
  • Crashes by types.

The Crash Summary application provides a quick review of crash severity, comparative crash rates, and crashes by classification.

For range studies, crash rates calculated by TMS are frequency based, determined by the total number of crashes per 100 million vehicle miles traveled. Below is the equation used to calculate range crash rates:

Range lengths of more than one mile should be used in the calculation, if practical. As seen in the rate calculation, an crash rate for a route less than one mile long will result in an artificially high crash rate.

For intersection studies, crash rates calculated by TMS are also frequency-based but are determined by the total number of crashes by 1 million entering vehicles. Below is the equation used to calculate intersection crash rates:

Crash rates are a good indication of the level of operation for an intersection. It is not easy to determine if an individual crash rate is good or bad by itself. For this reason, there is a State Rate available for comparison. For range studies, the Crash Summary application compares the selected route to statewide routes of similar route designations (IS, US, MO, RT, etc.) and route type (freeway, expressway, two-lane, etc.). For intersection studies, a similar concept is in place to compare intersection with similar geometric design and entering volumes. Due to roadway data constraints at this time, not all intersections are comparable to statewide rates.

Additional information available through Crash Summary is the Crash Types, Statewide Average Crash Rates, and ARAN video. The Crash Type field provides a general description of the crash; i.e. rear-end, head-on, left turn, etc. The Statewide Average Crash Rate application can be launched to see more in-depth review of available crash rates. The ARAN video is available for most routes that allow the user to view the road as driven by the ARAN van.

905.1.1.2 Crash Browser

The Crash Browser application can be launched from the Crash Summary application or from the TMS menu Applications + Safety Management System + Crash Browser. An example of the Crash Browser application may look like the following:

905.1.1.2.jpg

From the application, the following information can be found:

  • Crash location
  • Crash classification
  • Crash date
  • Crash severity
  • Crash image number
  • Crash relation to roadway (range/intersection/interchange)
  • Light condition
  • Road surface condition
  • Weather condition

This information can be used to determine when crashes are occurring and the best times to go to the field to collect data and observe traffic conditions. Additionally, the collision diagram software and ARAN video can be launched from the Crash Browser application.

905.1.1.3 Statewide Average Crash Rates

The Statewide Average Crash Rates application can be launched from the TMS Menu or Crash Summary application. The application allows the user to view crash rates by state, district or county for many combinations of crash severity and roadway information. The Statewide Average Crash Rates are used to determine if the studied range is above or below the statewide average.

905.1.1.4 Intersection Expected Values

The Intersection Expected Crash Rates application can be launched from the TMS Menu. The application allows the user to compare the intersection being studied with other intersections in the state with similar roadway and traffic characteristics.

905.1.1.5 Queries & Reports

Queries & Reports are located under the TMS menu . Within the Queries & Reports menu are applications that will provide pavement reports, safety reports, state of the system (SOS) reports and traffic reports. The safety reports include the Crash Statistics Manual, High Severity Lists and various other crash reports by severity. The SOS reports provide roadway inventory information. The traffic reports provide AADT information for all state routes.

905.1.1.6 ArcMAP Queries

ArcMAP allows the user to map roadway and traffic data. Queries are available within the ArcMAP tool to map basic information. The software allows users to perform database queries from other query applications and import the data into ArcMAP for viewing. This mapping tool is useful for displaying data for public meetings.

905.1.1.7 Direct access to TMS Databases

Authorized TMS users have direct access to the TMS databases. Linking databases by using software such as Microsoft Access, allows TMS users to query data in a specialized manner. While the applications in TMS allow for most combinations of data, the applications cannot account for every scenario. When such a scenario occurs, specialized queries must be prepared by those with expertise in query languages and the details of the TMS Database.

905.1.2 Non-TMS Field Data

Installing a permanent traffic counter

While some field data may be available in TMS, it is often useful to obtain current data from the field. The TMS applications are data intensive. Very few state routes’ data are updated every year. Traffic patterns can change quickly with new developments. For these reasons, it is encouraged to obtain field data for traffic studies.

905.1.2.1 Traffic Counts

As mentioned, traffic patterns can change quickly. There are several ways to review traffic data that may be important to a study. For intersections, it is common to perform a 12-hour turning movement count. When counting an intersection for 12 hours, track the turning movements by 15-minute intervals. By tracking vehicle actions using 15-minute intervals, the intersection can be reviewed for peak hour(s) movements and assist in signal timing plans.

When the traffic study involves a range location, count devices can be placed to gather AADT and sometimes speed. Due to new developments and the TMS count cycle, it may be a couple years before a road is counted. It is also good to confirm the information in TMS. While in the field gathering traffic counts, it is a good idea to perform a spot speed study as well.

905.1.2.2 Speed Study

A speed study is performed to determine the prevailing speed at a location. The prevailing speed is used to determine if the speed limit is set appropriately and to check for proper sight distances along the roadway.

905.1.2.3 Traffic Flow

While performing a traffic study for either an intersection or range, take notes about the traffic flow. Look for erratic and illegal maneuvers or other operational problems, as these may indicate signing/striping needs or other operational deficiencies.

905.1.2.4 Condition Diagram

As mentioned in the S-HAL, the Condition Diagram is a drawing (to scale, if practical), of the existing roadway, control device locations and major features in the nearby environment.

905.1.2.5 Sight Distance Measurements

Sight Distances should be measured for at-grade intersections and ranges. There are four basic sight distance measurements that will be obtained:

Sight distances will be measured for

If sight distance is being reviewed due to an entrance permit, refer to EPG 941.7 Sight Distance for Entrances.

905.1.2.6 Measuring Degree of Curvature

Sometimes horizontal degrees of curvature are used to make engineering decisions. An example is the article on chevron placement. By using equations involving the curve’s radius, LC (length of chord), degree of curve, and middle ordinate, a relationship can be calculated. The relationship assumes a chord length of 62 ft. By using a chord length of 62 ft., the middle ordinate (measured in inches) equals the degree of curvature, thus a simple field check using a 62 ft. length of rope can be used to measure the degree of curvature.


Components of a simple circular curve

Where,

PI = points of intersection of back tangent and forward tangent
PC = point of curvature, the point of change from back tangent to circular curve
PT = point of tangency, the point of change from circular curve to forward tangent
LC = Total chord length, or long chord, from PC to PT in ft. for the circular curve
D = Degree of curvature, the central angle that subtends a 100 ft. arc. The degree of curvature is determined by the appropriate design speed (anticipated posted speed).
= Total intersection (or delta) angle between back and forward tangents
T = Tangent distance in ft. The distance between the PC and PI or the PI and PT.
L = Total length in ft. of the circular curve from PC to PT measured along its arc.
E = External distance (radial distance) in ft. from PI to the midpoint of the circular curve.


Table 905.1.2.6

Assume “LC” Degree of Curve (D) Convert Degrees to Radians Calculate “R”, sin(1/2D)=50/R Calculate , LC = 2R sin (/2) Calculate “MO” in ft., MO = R(1 – cos (/2)) ”MO”, in inches
62 1 0.017453293 5729.650674 0.010820957 0.08 1.01
62 2 0.034906585 2864.934425 0.021641406 0.17 2.01
62 3 0.052359878 1910.077501 0.032460841 0.25 3.02
62 4 0.06981317 1432.685417 0.043278753 0.34 4.03
62 5 0.087266463 1146.279281 0.054094636 0.42 5.03
62 6 0.104719755 955.3661305 0.064907979 0.50 6.04
62 7 0.122173048 819.020412 0.075718276 0.59 7.04
62 8 0.13962634 716.7793513 0.086525016 0.67 8.05
62 9 0.157079633 637.2747422 0.097327689 0.75 9.05