PRIN.OF GEOTECHNICAL...-MINDTAP(2 SEM)
9th Edition
ISBN: 9781305971271
Author: Das
Publisher: CENGAGE L
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Chapter 15, Problem 15.32P
To determine
Find the factor of safety
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Students have asked these similar questions
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 15 Solutions
PRIN.OF GEOTECHNICAL...-MINDTAP(2 SEM)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Prob. 15.16PCh. 15 - Prob. 15.17PCh. 15 - Prob. 15.18PCh. 15 - Prob. 15.19PCh. 15 - Prob. 15.20PCh. 15 - Prob. 15.21PCh. 15 - Prob. 15.22PCh. 15 - Prob. 15.23PCh. 15 - Prob. 15.27PCh. 15 - Prob. 15.28PCh. 15 - Prob. 15.29PCh. 15 - Prob. 15.30PCh. 15 - Prob. 15.31PCh. 15 - Prob. 15.32P
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