PRIN.OF GEOTECHNICAL...-MINDTAP(2 SEM)
PRIN.OF GEOTECHNICAL...-MINDTAP(2 SEM)
9th Edition
ISBN: 9781305971271
Author: Das
Publisher: CENGAGE L
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Chapter 13, Problem 13.15P
To determine

Find the Rankine passive force σp(z=H) per unit length of the wall, the variation of active earth pressure Pa with depth, and the location z¯ of the resultant measured from the bottom of the wall.

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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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