### Traffic Analysis Using Greenshields' Flow Relationship**Problem Statement:**Traffic on a three-lane (in each direction) freeway observes the following Greenshields flow relationship:\[ V = 60D(1-D/360) \]where \( V \) is the traffic volume in vehicles per hour, and \( D \) is the traffic density in vehicles per mile. At 10:00 am, an accident occurs at point A. While the vehicles involved immediately pull off onto the shoulder of the roadway, traffic slows to 10 mph as drivers survey the damage, causing "spectator slowing." Lucy enters the freeway via the ramp at point B, also at 10:00 am, and notes that traffic is moving at about 40 mph.**Diagram Explanation:**A diagram illustrates a section of freeway with two key points marked: Lucy's entry point (B) and the accident site (A), which is 4 miles apart from each other. The scene represents the traffic conditions at 10:00 am, with vehicles slowing near point A due to the accident.**Questions:**1. **Speed of Backup:** - How fast (i.e., at what speed) will backup from the “spectator slowing” progress upstream of the accident site? - Provide your answer as a positive numerical number in units of miles per hour (mph) rounded to the nearest whole number. **Answer Box:** - [ ] mph2. **Time Lucy Encounters Slowing Traffic:** - At what time will Lucy first hit slowing traffic due to the accident? - Input each answer field as a two-digit whole number (e.g., 10:15 is 10 : 15). **Answer Boxes:** - [ ] : [ ] am**Notes:**- Use the Greenshields flow equation to determine the relationship between speed and density.- Consider both the initial conditions and the changes due to the accident when calculating backup speed and timing.

Freeway traffic flow is a complicated phenomenon that is impacted by a number of variables,…

Traffic on a three-lane (in each direction) freeway observes the following Greenshields flow relationship: V = 60D(1-D/360) where V is the traffic volume on vehicle per hour, and D is the traffic density in vehicles per mile. At 10:00 am, an accident occurs at point A (in the following Figure). The vehicles involved immediately pull off onto the shoulder of the roadway, but traffic passing the incident slows to 10 mph as drivers survey the damage on the side of the road (sometimes called "spectator slowing"). Lucy enters the freeway via the ramp at point B, also at 10:00 am. Upon entering the freeway, she notes that traffic on the freeway is moving along at about 40 mph. Scene at 10:00 am Lucy B 4 Miles A. How fast (i.e., at what speed) will back up from the "spectator slowing" progress upstream of the accident site? number only in units of miles per hour and rounded to the nearest whole number, i.e. XX.) B. When (i.e., at what time) will Lucy first hit slowing traffic due to the accident? whole number, i.e. XX, separated by the colon.) mph (Hint: Provide the answer as a positive numerical am (Hint: Input each answer field as a two-digit

Traffic on a three-lane (in each direction) freeway observes the following Greenshields flow relationship: V = 60D(1-D/360) where V is the traffic volume on vehicle per hour, and D is the traffic density in vehicles per mile. At 10:00 am, an accident occurs at point A (in the following Figure). The vehicles involved immediately pull off onto the shoulder of the roadway, but traffic passing the incident slows to 10 mph as drivers survey the damage on the side of the road (sometimes called "spectator slowing"). Lucy enters the freeway via the ramp at point B, also at 10:00 am. Upon entering the freeway, she notes that traffic on the freeway is moving along at about 40 mph. Scene at 10:00 am Lucy B 4 Miles A. How fast (i.e., at what speed) will back up from the "spectator slowing" progress upstream of the accident site? number only in units of miles per hour and rounded to the nearest whole number, i.e. XX.) B. When (i.e., at what time) will Lucy first hit slowing traffic due to the accident? whole number, i.e. XX, separated by the colon.) mph (Hint: Provide the answer as a positive numerical am (Hint: Input each answer field as a two-digit

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.

Question

### Traffic Analysis Using Greenshields' Flow Relationship

**Problem Statement:**
Traffic on a three-lane (in each direction) freeway observes the following Greenshields flow relationship:

\[ V = 60D(1-D/360) \]

where \( V \) is the traffic volume in vehicles per hour, and \( D \) is the traffic density in vehicles per mile.

At 10:00 am, an accident occurs at point A. While the vehicles involved immediately pull off onto the shoulder of the roadway, traffic slows to 10 mph as drivers survey the damage, causing "spectator slowing." Lucy enters the freeway via the ramp at point B, also at 10:00 am, and notes that traffic is moving at about 40 mph.

**Diagram Explanation:**
A diagram illustrates a section of freeway with two key points marked: Lucy's entry point (B) and the accident site (A), which is 4 miles apart from each other. The scene represents the traffic conditions at 10:00 am, with vehicles slowing near point A due to the accident.

**Questions:**
1. **Speed of Backup:**
- How fast (i.e., at what speed) will backup from the “spectator slowing” progress upstream of the accident site?
- Provide your answer as a positive numerical number in units of miles per hour (mph) rounded to the nearest whole number.

**Answer Box:**
- [ ] mph

2. **Time Lucy Encounters Slowing Traffic:**
- At what time will Lucy first hit slowing traffic due to the accident?
- Input each answer field as a two-digit whole number (e.g., 10:15 is 10 : 15).

**Answer Boxes:**
- [ ] : [ ] am

**Notes:**
- Use the Greenshields flow equation to determine the relationship between speed and density.
- Consider both the initial conditions and the changes due to the accident when calculating backup speed and timing.

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