Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=u&k - Us Ufx2 kj If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 57 53 45 39 28 21 18 80 21 22 39 60 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum X 70 86 97
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=u&k - Us Ufx2 kj If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 57 53 45 39 28 21 18 80 21 22 39 60 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum X 70 86 97
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Step 1: Introducing Given Data
VIEWStep 2: Derive equation of speed vs density
VIEWStep 3: Using regression analysis
VIEWStep 4: Procedure of regression analysis
VIEWStep 5: Calculation of constant b & a
VIEWStep 6: Calculation of density (k) at which flow is max
VIEWStep 7: Calculation of max volume & space mean speed
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