Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337947060
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 14, Problem 14.4P
To determine
Find the settlement.
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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.
a.
A
b.
A
3. Sketch normal depth, critical depth and the
water surface profile. Assume at A and B the
water is flowing at normal depth. Label and
Identify all curves (i.e., M1, S2, etc.)
Yn > Ye
Уп Ye
Уп> Ус
y
2. Design a trapezoidal ditch to carry Q = 1000 cfs. The
ditch will be a lined channel, gravel bottom with sides
shown below on a slope of S = 0.009. The side
slopes of the 20-ft wide ditch will be 1 vertical to 3
horizontal.
a) Determine the normal depth of flow (yn) using the
Normal value for Manning's n.
b) If freeboard requirements are 25% of the normal
depth, how deep should the ditch be constructed?
c) Classify the slope.
T
b
Уп
Z
1
Yn + FB
Chapter 14 Solutions
Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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