Traffic flow on a section of a two-lane highway can be described by the Greenshields model, with a mean free speed of 55 mi/h and a jam density of 145 veh/mi/ln. At the time when the flow was 90% of the capacity of the highway, a large dump truck loaded with heavy industrial machinery from an adjacent construction site joins the traffic stream and travels at a speed of 15 mi/h for a length of 3.5 mi along the upgrade before turning off onto a dump site. Due to the relatively high flow in the opposite direction, it is impossible for any car to pass the truck. Determine how many vehicles will be in the platoon behind the truck by the time the truck leaves the highway.
Traffic flow on a section of a two-lane highway can be described by the Greenshields model, with a mean free speed of 55 mi/h and a jam density of 145 veh/mi/ln. At the time when the flow was 90% of the capacity of the highway, a large dump truck loaded with heavy industrial machinery from an adjacent construction site joins the traffic stream and travels at a speed of 15 mi/h for a length of 3.5 mi along the upgrade before turning off onto a dump site. Due to the relatively high flow in the opposite direction, it is impossible for any car to pass the truck. Determine how many vehicles will be in the platoon behind the truck by the time the truck leaves the highway.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Traffic flow on a section of a two-lane highway can be described by the Greenshields
model, with a mean free speed of 55 mi/h and a jam density of 145 veh/mi/ln. At the
time when the flow was 90% of the capacity of the highway, a large dump truck loaded
with heavy industrial machinery from an adjacent construction site joins the traffic
stream and travels at a speed of 15 mi/h for a length of 3.5 mi along the upgrade
before turning off onto a dump site. Due to the relatively high flow in the opposite
direction, it is impossible for any car to pass the truck. Determine how many vehicles
will be in the platoon behind the truck by the time the truck leaves the highway.
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