Example: Flow Rate Calculation

Example

Problem Statement: An engineer is analyzing a 4-lane urban freeway (2 lanes per direction). During the afternoon peak, the total directional volume is measured at 3,000 vehicles per hour. The traffic stream contains 10% trucks.
Given the following parameters:
  • Passenger Car Equivalent for trucks (ETE_T) = 2.5
  • Peak Hour Factor (PHF) = 0.90
  • Driver population consists of regular commuters (fp=1.0f_p = 1.0)
Calculate the equivalent 15-minute passenger-car flow rate (vpv_p) per lane.

Solution: Flow Rate Calculation

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Example: Heavy Vehicle Factor (fHVf_{HV}) Calculation

Trucks and RVs occupy more space and perform poorer than passenger cars, reducing highway capacity.

Example

Problem Statement: A highway segment has a traffic stream composed of 12% trucks/buses (PT=0.12P_T = 0.12) and 3% recreational vehicles (PR=0.03P_R = 0.03). Based on the terrain, the passenger-car equivalent for trucks (ETE_T) is 2.5 and for RVs (ERE_R) is 2.0. Calculate the heavy vehicle adjustment factor (fHVf_{HV}).
Given:
fHV=11+PT(ET1)+PR(ER1)f_{HV} = \frac{1}{1 + P_T(E_T - 1) + P_R(E_R - 1)}
  • PT=0.12P_T = 0.12, ET=2.5E_T = 2.5
  • PR=0.03P_R = 0.03, ER=2.0E_R = 2.0

Step-by-Step Solution

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Example: Free-Flow Speed (FFS) Estimation

For basic freeway segments, FFS is estimated by subtracting adjustment factors from a Base Free-Flow Speed (BFFS).

Example

Problem Statement: A rural freeway has a Base Free-Flow Speed (BFFS) of 75 mph. The lane width is 11 ft, resulting in a lane width adjustment factor (fLWf_{LW}) of 1.9 mph. The lateral clearance is 4 ft, yielding a clearance adjustment (fLCf_{LC}) of 1.2 mph. There are 4 interchanges over a 6-mile stretch. The adjustment for interchange density (fIDf_{ID}) is calculated as fID=3.22×(ID)0.84f_{ID} = 3.22 \times (ID)^{0.84}. Determine the estimated Free-Flow Speed (FFS).

Step-by-Step Solution

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Example: Density Calculation for LOS Determination

Level of Service (LOS) for freeways is ultimately determined by density.

Example

Problem Statement: An analysis of a basic freeway segment yields a 15-minute passenger-car equivalent flow rate (vpv_p) of 1,850 pc/h/ln. The estimated average passenger-car speed (SS) under these conditions is 65 mph. Calculate the density (DD) and state what this metric represents.
Given: Density (DD) is flow divided by speed.
D=vpSD = \frac{v_p}{S}
  • vp=1850 pc/h/lnv_p = 1850 \text{ pc/h/ln}
  • S=65 mphS = 65 \text{ mph}

Step-by-Step Solution

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