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2. A section of highway has the flow-density relationship as q= 50k-0.156k². What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?

2. A section of highway has the flow-density relationship as q= 50k-0.156k². What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?

Structural Analysis
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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Design Values Perception/Reaction Time = 2 seconds Average Vehicle Length = 25 ft Lane Width = 12 ft Deceleration Rate = 12 ft/sec² Design Speed= 25 mph Start/End Lost Time per phase = 2 sec Saturation Flow Rate = 1900 vphgpl Pedestrian Walk Speed = 3.5 ft/s Minimum Walk Interval = 7 sec Pedestrian perception reaction for walk signal = 3.2 sec U a. the average headway under these conditions b. the average spacing under these conditions 1 1 1. The flow rate on a given freeway segment is 1250 vph and the space-mean-speed is 40 mph. Determine: c. the equations for the three relationships (q-k, k-u, and q-u) assuming that the flow-density- speed relationship of this freeway segment is described by the Greenshield's model and the free flow speed is 50 mph. 2. A section of highway has the flow-density relationship as q = 50k - 0.156k². What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?
Transcribed Image Text:Design Values Perception/Reaction Time = 2 seconds Average Vehicle Length = 25 ft Lane Width = 12 ft Deceleration Rate = 12 ft/sec² Design Speed= 25 mph Start/End Lost Time per phase = 2 sec Saturation Flow Rate = 1900 vphgpl Pedestrian Walk Speed = 3.5 ft/s Minimum Walk Interval = 7 sec Pedestrian perception reaction for walk signal = 3.2 sec U a. the average headway under these conditions b. the average spacing under these conditions 1 1 1. The flow rate on a given freeway segment is 1250 vph and the space-mean-speed is 40 mph. Determine: c. the equations for the three relationships (q-k, k-u, and q-u) assuming that the flow-density- speed relationship of this freeway segment is described by the Greenshield's model and the free flow speed is 50 mph. 2. A section of highway has the flow-density relationship as q = 50k - 0.156k². What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?
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