Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 15, Problem 15.22P
To determine
Find the factor of safety
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4G
46:58
Problem 1
You are in the process of designing a water supply system for the whole Iligan City, and
the design life of your system is to end in the year 2070. The population in the town has
been measured every 10 years since 1980 by the Philippine Statistics Authority, and the
reported populations are tabulated below. Estimate the population in the town using (a)
arithmetic growth projection, (b) geometric growth projection (exponential formula), (c)
declining growth projection (assuming a saturation concentration of 480,000 people), and
(d) logistic curve projection.
Population
Year
1980
167,358
1990
226,568
2000
285,061
2010
322,821
2020
342,618
1.a) Arithmetic growth
projection estimate
Your answer
* 5 points
1.b) Geometric growth
* 5 points
projection estimate
Your answer
1.c) Declining growth
projection estimate
Your answer
* 10 points
כ
95
2. Design a W section for a beam of A 36 steel Fy = 248 MPa to carry a uniform load of
293 kN/m on a simply supported span of 1.5 m. Assume lateral bracing is adequate for
stability.
Wt. of beam
Area
Depth (d)
Properties of W sections available
W 12 x 27
394.9 N/m
Flange width (bf)
Flange thickness (tf)
Web thickness (tw)
Moment of inertia (IX)
Section modulus (SX)
5129
303.78
165.02
10.16
6.02
84.9 x 106 mm²
560.4 x 103 mm³
3
W 12 x 31
453.4 N/m
5890
W 14 x 26
380.27 N/m
4948
307.09
352.81
165.74
127.64
11.81
10.62
6.73
6.48
99.5 x 106 mm²
101.56 x 106 mm4
674.3 x 103 mm³
575.2 x 103 mm³
⚫ For the semi-circular arch shown in Fig.2, draw shear and bending moment
diagram.
10 kN
5 m
SkN
Chapter 15 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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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