1. No category

Civil PE Sample
Examination
Fourth Edition
Michael R. Lindeburg, PE
Professional Publications, Inc. • Belmont, California
17
Afternoon Session
Construction
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41. Consider the two cross sections shown.
43. The following table shows unreduced profile leveling readings.
h = 12 ft
1
1
2
2
b = 46 ft
sta 13+00
g = 13 ft
i = 11 ft
h = 9 ft
BS
3.57
HI
FS
IFS
elevation
617.24
4.29
5.17
2.65
8.21
3.75
The elevation at sta 3+90 is most nearly
(A) 609 ft
b = 44 ft
l = 25 ft
station
BM 145
1+00
2+00
TP1
3+90
r = 28 ft
(B) 610 ft
sta 15+00
(C) 612 ft
(not to scale)
(D) 615 ft
Using the average end area method, what is most nearly
the volume between sta 13+00 and sta 15+00?
(A) 3800 yd3
(B) 4200 yd3
(C) 4600 yd3
44. A foundation contractor bid on constructing the
residence shown. The foundation consists of exterior
footings totaling 207 linear feet (measuring 16 in 8 in) and four column footings (measuring 3 ft 3 ft
12 in).
(D) 5000 yd3
3 ft
42. A planimeter recorded the areas enclosed by the
700 ft and 707 ft grading contours as 1200 ft2 and
1800 ft2, respectively.
3 ft
3 ft
3 ft
3 ft
3 ft
basement
3 ft
3 ft
garage
707 ft
700 ft
The volume of material enclosed by the contour lines is
most nearly
3
(A) 4000 ft
3
(B) 11,000 ft
(C) 14,000 ft3
(D) 21,000 ft3
Due to poor soil conditions, the area of both the exterior
and column footings must be increased by 50%, with no
change to footing depths. The additional concrete needed
to make the larger footings is most nearly
(A) 2.7 yd3
(B) 4.1 yd3
(C) 7.4 yd3
(D) 12 yd3
P P I
*
w w w . p p i 2 p a s s . c o m
18
C I V I L
P E
S A M P L E
E X A M I N A T I O N
45. Consider the mass diagram shown.
The amounts of AC and AB pavement, respectively,
from sta 22+00 to sta 32+00 is most nearly
(A) 1470 tons and 1110 tons
(B) 2560 tons and 1560 tons
sta 0+00
sta 6+00
sta 12+00
(C) 3330 tons and 2220 tons
(D) 4400 tons and 3330 tons
Select the ground profile that best corresponds to the
mass diagram.
47. A contractor is bidding on a painting job with the
following considerations.
. The total area to be painted measures 34,600 ft2.
(A)
. A five-gallon bucket of paint costs $10.
0+00
12+00
. A five-gallon bucket of paint covers 1200 ft2.
. Labor costs $25/hr.
. The production rate is 700 ft2/hr.
(B)
. The overhead cost of labor is 35%.
. The overhead cost of materials is 30%.
0+00
12+00
The total bid for the job is most nearly
(A) $1850
(B) $1920
(C)
(C) $2040
0+00
12+00
(D) $3710
48. A building with 16 bays is to be constructed with
the following considerations.
(D)
0+00
12+00
. Bay type A will cost $100,000.
. Bay type B will cost $85,000.
. Bay type C will cost $70,000.
46. Skyline Road is constructed as follows.
. The total cost of entrances will be $20,000.
. 6 in AC pavement at 110 lbf/yd
thickness
. An elevator will cost $40,000.
2
per inch of
. The total cost of end walls will be $60,000.
. 6 in AB pavement at 3000 lbf/yd3
. All equipment will cost $80,000.
. pavement width of 40 ft (both lanes)
sta 22+00
Skyline Road
sta 32+00
P P I
*
w w w . p p i 2 p a s s . c o m
A
C
C
A
B
A
B
B
B
B
A
B
A
C
C
A
81
Solutions
Afternoon Session
Construction
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41. The cross section at sta 13+00 is known as a onelevel section because the surface is at one elevation at all
points. The cross section at sta 15+00 is known as a
five-level section because the surface has five different
elevation points.
Excavation volumes can be calculated using either the
average end area method or the prismoidal method.
When the cross-section shapes are irregular and largely
spaced as they are in this problem, contractors often use
the average end area method because it results in a
larger calculated volume. (Contractors are generally
paid by volume.)
Asta 13þ00 ¼ hðsh þ bÞ
¼ ð12 ftÞðð2Þð12 ftÞ þ 46 ftÞ
¼ 840 ft2
The end area at sta 15+00 is
þ ð11 ftÞð28 ftÞ
2
2
¼ 514:5 ft
¼
L ¼ 15þ00 sta 13þ00 sta
¼ 200 ft
LðAsta 13þ00 þ Asta 15þ00 Þ
V¼
2
ð200 ftÞð840 ft2 þ 514:5 ft2 Þ
¼
ft3
ð2Þ 27
yd3
The answer is (D).
V ¼ ðcontour elevation differenceÞðaverage end areaÞ
1800 ft2 þ 1200 ft2
¼ ð707 ft 700 ftÞ
2
¼ 10;500 ft3
ð11;000 ft3 Þ
43. In differential leveling, only one foresight measurement is taken, but in profile leveling, as many intermediate foresight (IFS) measurements as needed are taken. In
the elevation calculations, two equations are used.
HI ¼ elev þ BS
hb þ gl þ ir
2
ð9 ftÞð44 ftÞ þ ð13 ftÞð25 ftÞ
¼ 5017 yd3
The volume of material enclosed between the contour
lines is
The answer is (B).
The end area at sta 13+00 is
Asta 15þ00 ¼
42. Planimeters are mechanical or digital instruments
that are used to measure areas enclosed by boundaries
such as curved lines, contour lines, and so on.
ð5000 yd3 Þ
elev ¼ HI FS
BS is the backsight, HI is the height of instrument, and
FS is the foresight. The instrument is not moved
between benchmarks and turning points. Calculate the
elevation of each station in series.
HIBM 145 ¼ elevBM 145 þ BSBM 145
¼ 617:24 ft þ 3:57 ft
¼ 620:81 ft
elevsta 1þ00 ¼ HI IFSsta 1þ00
¼ 620:81 ft 4:29 ft
¼ 616:52 ft
elevsta 2þ00 ¼ HI IFSsta 2þ00
¼ 620:81 ft 5:17 ft
¼ 615:64 ft
P P I
*
w w w . p p i 2 p a s s . c o m
82
C I V I L
P E
S A M P L E
E X A M I N A T I O N
elevTP1 ¼ HI FSTP1
V footings;column ¼
¼ 620:81 ft 8:21 ft
¼ 612:60 ft
¼ 2:00 yd3
HITP1 ¼ elevTP1 þ BSTP1
V footings;total constructed ¼ 10:2 yd3 þ 2:00 yd3
¼ 612:60 ft þ 2:65 ft
¼ 12:2 yd3
¼ 615:25 ft
additional concrete needed ¼ V footings;total constructed
elevsta 3þ90 ¼ HI IFSsta 3þ90
V footings;total bid
¼ 615:25 ft 3:75 ft
¼ 12:2 yd3 8:1 yd3
¼ 611:50 ft ð612 ftÞ
station
BM 145
1+00
2+00
TP1
3+90
BS
3.57
2.65
HI
620.81
620.81
620.81
615.25
615.25
FS
IFS
4.29
5.17
8.21
3.75
¼ 4:1 yd3
elevation
617.24
616.52
615.64
612.60
611.50
The answer is (C).
44. The bid volume, Vfootings,total bid, is calculated using
the following series of calculations.
V footing ¼ W footing Dfooting Lfooting
ð16 inÞð8 inÞð207 ftÞ
V footings;continuous ¼ in 2
ft3
27
12
ft
yd3
¼ 6:8 yd
3
The answer is (B).
45. The mass diagram rises from sta 0+00 to sta 6+00,
which means that a portion of the ground profile must
be an excavation. Then, the mass diagram curve falls
from sta 6+00 to sta 12+00, which means that a portion
of the ground profile is an embankment. Peaks occur at
a transition from excavation to embankment. The diagram that has these characteristics is option B.
The answer is (B).
46. The length of Skyline Road is
32þ00 sta 22þ00 sta ¼ 10 sta
ð4Þð3 ftÞð3 ftÞð1 ftÞ
ft3
27
yd3
¼ 1:3 yd3
ð6 inÞ 110
¼ 8:1 yd3
The actual constructed volume is found similarly.
V footings;continuous ¼
ð16 inÞð8 inÞð207 ftÞð1:5Þ
in 2
ft3
12
27
ft
yd3
¼ 10:2 yd
P P I
*
AC tonnage ¼
lbf
ð1000 ftÞð40 ftÞ
yd2 -in
2 ft
lbf
3
2000
yd
ton
¼ 1467 tons
V footings;total bid ¼ 6:8 yd3 þ 1:3 yd3
3
w w w . p p i 2 p a s s . c o m
ð1000 ftÞ
110 lbf/yd2 is the given area for a 1 in thick asphalt
section of AC pavement, and the asphalt is 6 in thick.
V footings;column ¼ ðnumber of footingsÞAfootings D footing
¼
ð4Þð3 ftÞð3 ftÞð1 ftÞð1:5Þ
ft3
27
yd3
ð1470 tonsÞ
3000 lbf/yd3 is the given volume for the AB pavement,
and the asphalt is 6 in thick.
lbf
ð1000 ftÞð40 ftÞð6 inÞ 3000
yd3
AB tonnage ¼ in
ft3
lbf
12
27
2000
yd3
ft
ton
¼ 1111 tons
The answer is (A).
ð1110 tonsÞ