Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 20, Problem 1P

Portland cement concrete consists of what four primary elements?

Expert Solution & Answer
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To determine

The four primary elements of Portland cement concrete.

Explanation of Solution

The four primary elements of Portland cement concrete are,

  1. Portland Cement
  2. Portland cement is produced by crushing and pulverizing a cautiously prepared mix

    of limestone, marl, and clay and by burning all the mixture at a highest temperature

    (about 2800°F ) to develop a clinker.

  3. Coarse Aggregates
  4. The coarse aggregates are used in Portland cement concrete are materials of inert that are not going to react with cement and normally are comprised of gravel, which is crushed, stone, or blast furnace slag.
  5. Fine Aggregates
  6. Sand is majorly used in the fine aggregate in Portland cement concrete. for this material the specifications usually include requirements of grading, cleanliness and soundness.
  7. Water
  8. The major water requirement stipulated is that the water used also should be capable fordrinking. This water is needed for the quantity of organic matter, acids, oil, and alkalis should not be higher than the allowable amount in drinking water.

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Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q-8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.
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