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A freeway has the following relationship: S = 75.4e- where S' is in mph, for D pc/mi/ln (D<145), b is a positive constant in In-mi/pc. What is the free-flow speed Sf in mph? Write the expression of V = f(D). Leave b in the equation. If the capacity Vm = 2500 pc/h/ln happens at Do 45 pc/mi/ln, what is the value of b? =

A freeway has the following relationship: S = 75.4e- where S' is in mph, for D pc/mi/ln (D<145), b is a positive constant in In-mi/pc. What is the free-flow speed Sf in mph? Write the expression of V = f(D). Leave b in the equation. If the capacity Vm = 2500 pc/h/ln happens at Do 45 pc/mi/ln, what is the value of b? =

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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A freeway has the following relationship: S = 75.4e-bD where S is in mph, for D is in pc/mi/ln (D<145), b is a positive constant in In-mi/pc. What is the free-flow speed S, in mph? Write the expression of V = f(D). Leave b in the equation. If the capacity Vm = 2500 pc/h/In happens at Do = 45 pc/mi/ln, what is the value of b?
Transcribed Image Text:A freeway has the following relationship: S = 75.4e-bD where S is in mph, for D is in pc/mi/ln (D<145), b is a positive constant in In-mi/pc. What is the free-flow speed S, in mph? Write the expression of V = f(D). Leave b in the equation. If the capacity Vm = 2500 pc/h/In happens at Do = 45 pc/mi/ln, what is the value of b?
Expert Solution
Step 1 Given data

Free flow relation- S=75.4e-bD  (D<145)Vm (capacity) = 2500 pc/h/lnD0=45 pc/mi/lnTo determine - 1) free-flow speed (Sf)                               2) expression of V=f(D)                               3) Value of b

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