### Traffic Flow Analysis**Problem Statement:**Vehicles arrive at a bridge at a rate of 23 vehicles per minute. The capacity of the bridge is typically 3000 vehicles per hour, but it is reduced to 914 vehicles per hour for 24 minutes. What is the duration of the queue that forms on the bridge in minutes?**Key Points to Consider:**1. **Arrival Rate of Vehicles:** - 23 vehicles per minute.2. **Bridge Capacity:** - Normal Capacity: 3000 vehicles per hour. - Reduced Capacity: 914 vehicles per hour for 24 minutes.**Objective:**Calculate the **duration of the queue** that forms on the bridge in minutes.**Steps to Solve:**1. **Convert the Reduced Capacity** to vehicles per minute: - Reduced capacity in vehicles per minute = \(\frac{914 \text{ veh/hr}}{60 \text{ minutes/hr}}\). - Reduced capacity = \( \frac{914}{60} \approx 15.23 \) vehicles per minute.2. **Evaluate the Difference in Rate**: - Excess arrival rate during reduced capacity = Arrival rate - Reduced capacity. - Excess arrival rate = \( 23 \text{ veh/min} - 15.23 \text{ veh/min} \). - Excess arrival rate = \( 7.77 \text{ vehicles per minute} \).3. **Calculate the Total Excess Vehicles** Arriving During the Reduced Capacity Period: - Total excess vehicles = Excess arrival rate \(\times\) Duration of reduced capacity. - Total excess vehicles = \( 7.77 \text{ veh/min} \times 24 \text{ min} \). - Total excess vehicles = \( 186.48 \text{ vehicles} \).4. **Determine the Time to Clear the Queue**: - Use the normal capacity rate to clear the excess queue. - Normal capacity in vehicles per minute = \(\frac{3000 \text{ veh/hr}}{60 \text{ min/hr}} = 50 \text{ veh/min}\). - Time to clear the queue = Total excess vehicles / Normal capacity rate. - Time to clear the queue = \( \frac{186.48 \text{ vehicles}}{50 \text{ veh/min}} \). - Time to clear the queue = \( 3.73 \text

Answered: Image /qna-images/answer/a0e7fe16-3740-4e06-a2ec-1adece46e1cf.jpg

Vehicles arrive to a bridge at a rate of 23 vehicles per minute. The capacity of the bridge is typically 3000 veh/hour, but is reduced to 914 veh/hour for 24 minutes. What is the duration of the queue that forms on the bridge in minutes?

Vehicles arrive to a bridge at a rate of 23 vehicles per minute. The capacity of the bridge is typically 3000 veh/hour, but is reduced to 914 veh/hour for 24 minutes. What is the duration of the queue that forms on the bridge in minutes?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Three routes connect an origin-destination pair with performance functions: t₁ = 20 +0.5x1 t2 = 4+…

Q: In this problem, assume a propagation speed of 45 km/hr and that each toll booth takes 6 seconds to…

A: Propagation Speed, V = 45 km/hr Time taken at each toll booth = 6 sec/car Number of cars in a…

Q: At a toll booth, vehicles arrive with a mean arrival rate of 2 vehicles per minute and they are…

A: Given data:The arrival rate, λ=2 vehicles per minuteThe service rate, μ=6 vehicles per minute

Q: 16. A bus line operates in mixed traffic and caries 4000 passengers per peak hour at an average…

Q: A traffic engineer has set up a one-mile study segment of a corridor. He measures the speed of 10…

Q: A truck weighing station has a single scale. The time between truck arriving at the station is…

A: Given:- The time between truck arriving at the station with mean arrival rate = 2.30 veh/min The…

Q: Let us suppose a 15-minute count of vehicles bound for Quezon City was conducted at a particular…

Q: A bus line has stops at every intersection, 200 m apart. The speed of traffic and of the buses…

Q: Two lanes of the four lanes on a highway section have to be closed to undertake an emergency bridge…

Q: 8:35-8:40 104 km/hour 8:40-8:45 109 km/hour km/hour km/hour km/hour km/hour km/hour km/hour km/hour…

Q: Example 1 The adjusted demand flow (v₂) of 1,800 pc/h/In is traveling on a freeway with a free-flow…

Q: Vehicles arrive to a bridge at a rate of 24 vehicles per minute. The capacity of the bridge is…

A: Given: The rate of arrival of the vehicle is 24 vehicles per minute. The capacity of the bridge is…

Q: A toll booth on a turnpike is open from 8:00 AM to 12 midnight. Vehicles start arriving at 7:50 AM…

A: Given:- A toll booth on a turnpike is open from 8:00 AM to 12 midnight The vehicles start arriving…

Q: what is the departure rate

Q: HW: A traffic stream is carrying 4500 veh/hr in three lanes in one direction. What is the average…

Q: Activity 3. Car A at a gasoline station stays there for 10 min after a car B passes at an average…

A: Speed of car A, Speed of car B , Effective time,t = 10min =10×60=600s Effective speed, s =…

Q: The number of vehicles arriving at the upstream of a freeway bottleneck (free of queues) is shown in…

A: Interval Upstream arrival rate, vph Queue length 6:00-6:15 4000 0 6:15-6:30 6000 10 6:30-6:45…

Q: Vehicles begin arriving at Allen fieldhouse at 6:30 PM, at a constant rate of 4 per minute. One gate…

Q: The maximum number of vehicles observed in any five minute period during the peak hour is 160. If…

A: given- 5 mintue periodflow=160total flow=1000 vehicles

Q: Vehicles arrive according to a Poisson process (random arrival) to a parking lot with mean arrival…

Q: Suppose that a crash occurs on a two lane highway, blocking one lane for 45 minutes and dropping the…

Q: A busy travel corridor connecting a suburb with the city center is served by two routes having a…

A: Routeabc13430002424000Typical travel time:To find:a) The traffic distribution on the two routes(b)…

Q: 7. Queue Theory: At the end of a sporting event, vehicles begin leaving a parking lot at 2(1) = 12 -…

A: Given: Equation of Vehicles leaving parking lot λ(t) = 12-0.25t veh/min Equation of vehicles…

Q: each direction. In one arriers at this crossing are lowered to in to pass. What is the probability…

A: Solution- Givenv = 300Since the likelihood is based on the number of vehicles, we may use the…

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

100%

### Traffic Flow Analysis

**Problem Statement:**

Vehicles arrive at a bridge at a rate of 23 vehicles per minute. The capacity of the bridge is typically 3000 vehicles per hour, but it is reduced to 914 vehicles per hour for 24 minutes. What is the duration of the queue that forms on the bridge in minutes?

**Key Points to Consider:**

1. **Arrival Rate of Vehicles:**
- 23 vehicles per minute.

2. **Bridge Capacity:**
- Normal Capacity: 3000 vehicles per hour.
- Reduced Capacity: 914 vehicles per hour for 24 minutes.

**Objective:**
Calculate the **duration of the queue** that forms on the bridge in minutes.

**Steps to Solve:**

1. **Convert the Reduced Capacity** to vehicles per minute:
- Reduced capacity in vehicles per minute = \(\frac{914 \text{ veh/hr}}{60 \text{ minutes/hr}}\).
- Reduced capacity = \( \frac{914}{60} \approx 15.23 \) vehicles per minute.

2. **Evaluate the Difference in Rate**:
- Excess arrival rate during reduced capacity = Arrival rate - Reduced capacity.
- Excess arrival rate = \( 23 \text{ veh/min} - 15.23 \text{ veh/min} \).
- Excess arrival rate = \( 7.77 \text{ vehicles per minute} \).

3. **Calculate the Total Excess Vehicles** Arriving During the Reduced Capacity Period:
- Total excess vehicles = Excess arrival rate \(\times\) Duration of reduced capacity.
- Total excess vehicles = \( 7.77 \text{ veh/min} \times 24 \text{ min} \).
- Total excess vehicles = \( 186.48 \text{ vehicles} \).

4. **Determine the Time to Clear the Queue**:
- Use the normal capacity rate to clear the excess queue.
- Normal capacity in vehicles per minute = \(\frac{3000 \text{ veh/hr}}{60 \text{ min/hr}} = 50 \text{ veh/min}\).

- Time to clear the queue = Total excess vehicles / Normal capacity rate.
- Time to clear the queue = \( \frac{186.48 \text{ vehicles}}{50 \text{ veh/min}} \).
- Time to clear the queue = \( 3.73 \text

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given Data

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Capacity and level of service at intersections

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

16
Vehicles arrive at a stop sign at the corner of Osmeña and Laurel Streets at the rate of 200 vehicles per hour. The waiting time for each vehicle at the stop sign is 12 seconds. If both arrival and departures are exponentially distributed, what is the average delay per vehicle in seconds?
A student records the number of vehicles that pass through a toll road lane, as shown in the following list Calculate: (c) what is the busiest flow rate for a 15-minute period in this lane?
8.5 If small express buses leave the origin described in Example 8.5 and all are filled to their capacity of 20 travelers, how many work-trip vehicles leave from origin to destination in Example 8.5 during the peak hour?
E1
Two routes connect an origin and destination with performance function t; = aj + (xj/cj)2 (with t's in minutes and x's in thousands of vehicles per hour). It is known that at user equilibrium, 65% of the origin-destination demand takes route 1. How many vehicles (in thousands) will take route 1 if system optimal equilibrium is archived? Route 1 Route 2 a 7 2 3
A freeway bottleneck location has a capacity of 5,000 veh/h. During a typical morning peak period, the actual demand flow rate arriving at the bottleneck is as follows: 7:00-8:00 AM 4,500 veh/h 8:00-8:30 AM 5,400 veh/h 8:30-9:30 AM 6,000 veh/h 9:30-10:00 AM 5,000 veh/h 10:00-11:00 AM 4,500 veh/h After 11:00 AM 4,000 veh/h a. Draw of graph of demand versus capacity for the situation described. b. What is the size of the queue upstream of the bottleneck at 8:30 AM, 9:30 AM, 10:00 AM, and 11:00 AM? c. At what time does the queue dissipate?
1. Let us suppose a 15-minute count of vehicles bound for Malolos City was conducted at a particular location on McArthur Highway. A summary is shown in the table below: TYPE 10 MINUTE COUNT Car/van 300 Jeepney 30 Bus 10 Truck 35 Estimate the flow rate in vehicles per hour.
Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. In how many minutes does the queue dissipate? Select one: a. 60 b. 70 c. 75 d. 80
Help صخنلمس
[T] The following table provides hypothetical data regarding the level of service for a certain highway. Plot vehicles per hour per lane on the x-axis and highway speed on the y-axis. Compute the average decrease in speed (in miles per hour) per unit increase in congestion (vehicles per hour per lane) as the latter increases from 600 to 1000, from 1000 to 1500, and from 1500 to 2100. Does the decrease in miles per hour depend linearly on the increase in vehicles per hour per lane? Plot minutes per mile (60 times the reciprocal of miles per hour) as a function of vehicles per hour per lane. Is this function linear? Highway Speed Vehicles per Hour per Lane Density Range (vehicles / mi) > 60 < 600 < 10 60 - 57 600 - 1000 10 - 20 57 - 54 1000 - 1500 20 - 30 54 - 46 1500 - 1900 30 - 45 46 - 30 1900 - 2100 45 - 70 < 30 Unstable 70 - 200
Question: A section of highway is known to have a free-flow speed of 55 mph and a capacity of 3300 veh/hr. In a given hour, 2100 vehicles were counted at a specified point along this highway section under uncongested conditions. If the linear speed- density relationship applies, what would you estimate the space-mean speed of these 2100 vehicles to be? Show all the calculation steps.