Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 13, Problem 13.10P
To determine
The Rankine active force
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The cross-section shown is used to support the loads on
the beam below. The moment of inertia of the section is |=
1384 in4 and distance of the centroid of the section from
the bottom is y = 5.8 in.
[MA=4800 lb-ft, w=600 lb/ft, P=1400 lb, a=5ft,b=7ft,c=
2 ft,d=5ft]
Ma
b
ཅ་
d
15 in
1.5 in
1.5 in.
2 in.
k11 in.
Cross section of the beam
a) Construct the complete shear-force and
bending-moment diagrams for the beam and
determine the maximum positive bending
moment in the beam.
b) determine the maximum negative bending
moment in the beam.
c) Determine the maximum tension bending
stress at any location along the beam.
d) Determine the maximum compression
bending stress at any location along the beam.
COMPUTE THE VOLUME OF THE STOCKPILE SHOWN BELOW IN CUBIC YARDS USING THE AVERAGE AREA METHOD.
PROVIDE YOUR RESULTS ON THIS PAGE USING THE WINDOWS CLIPBOARD CUT AND PASTE TOOLS.
166
170
168
-172
CONTOUR AREA = 2,663 S.F.
CONTOUR AREA = 8,217 S.F
CONTOUR AREA =
16,284 S.F
CONTOUR AREA = 29,734 S.F.
AVERAGE AREA METHOD FOR VOLUME OF EXCAVATION AND STOCKPILE
CONTOUR ELEVATION
CONTOUR AREA
(FT)
(FT³)
ELEVATION DIFFERENCE
(DEPTH) BETWEEN
CONSECUTIVE CONTOURS
AVERAGE AREA
BETWEEM CONSECUTIVE
CUMMULATIVE
CONTOURS
VOLUME
(FT³)
CUMMULATIVE
VOLUME
VOLUME (CY)
(FT³)
(FT)
(FT)
Using the graphic below, computer the bearings for courses AF, AB, and BC and
azimuths for courses AF and BC.
128°28'58"
0.00
TRV-A
65°5'34"
F
86°34'27"
B
0.00
TRY-B
•
Azimuth AF:
Bearing AF:
Bearing AB:
Azimuth BC:
Bearing BC:
Chapter 13 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.1CTP
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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 95arrow_forward2. 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 mm³arrow_forward⚫ For the semi-circular arch shown in Fig.2, draw shear and bending moment diagram. 10 kN 5 m SkNarrow_forward
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