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PE
principles and practice of engineering
civil:
WATER RESOURCES and ENVIRONMENTAL sample questions + solutions
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Copyright ©2011 by NCEES. All rights reserved. All NCEES sample questions and solutions are copyrighted under the laws of the United States. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means without the prior written permission of NCEES. Requests for permissions should be addressed in writing to
[email protected]. NCEES PO Box 1686 Clemson, SC 29633 800-250-3196 www.ncees.org ISBN 978-1-932613-65-0 Printed in the United States of America November 2010 First printing April 2013 Second printing
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CONTENTS Introduction to NCEES Exams.................................................................. 1 About NCEES Updates on exam content and procedures Exam-day schedule Admission to the exam site Candidate Agreement Scoring and reporting Exam Specifications .................................................................................... 3 Sample Questions and Solutions Morning Sample Questions ............................................................... 11 Afternoon Sample Questions ............................................................. 29 Morning Solutions .............................................................................. 45 Afternoon Solutions ........................................................................... 61
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About NCEES NCEES is a national nonprofit organization dedicated to advancing professional licensure for engineers and surveyors. It develops, administers, and scores the examinations used for engineering and surveying licensure in the United States. It also facilitates professional mobility and promotes uniformity of the U.S. licensure processes through services for its member licensing boards and licensees. These services include the records program, study materials, credentials evaluations, exam administration, and more. NCEES is composed of member licensing boards from the United States and its territories. Updates on exam content and procedures NCEES.org is our home on the Web. Visit us there for updates on everything exam-related, including specifications, exam-day policies, scoring, and corrections to published study materials. This is also where you will register for the exam and find the additional steps you should follow in your state to be approved for the exam. Exam-day schedule Be sure to arrive at the exam site on time. Late-arriving examinees will not be allowed into the exam room once the proctor has begun to read the exam script. The report time for the exam will be printed on your Exam Authorization. Normally, you will be given 1 hour between morning and afternoon sessions. Admission to the exam site To be admitted to the exam, you must bring two items: (1) your Exam Authorization and (2) a current, signed, government-issued photo identification. Candidate Agreement The NCEES Candidate Agreement describes references and other personal materials allowed in the exam room. It also describes other exam policies designed to protect exam content. This document will be printed in your exam book. It is also available for download at NCEES.org. If you register to take an NCEES exam, you are strongly encouraged to review this document prior to exam day, as you will be asked to affirm that you abide by the policies and procedures it describes. Scoring and reporting NCEES typically releases exam results to its member licensing boards 8–10 weeks after the exam. Depending on your state, you will be notified of your exam result online through your My NCEES account or via postal mail from your state licensing board. Detailed information on the scoring process can be found at NCEES.org.
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CIVIL BREADTH MORNING SAMPLE QUESTIONS
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CIVIL BREADTH MORNING SAMPLE QUESTIONS
101. Refer to the figure. The net excavation (yd3) from Station 1+00 to Station 3+00 is most nearly: (A) (B) (C) (D)
160 262 390 463 CL
CL
CL C = 150 F=0
ft2
STA 2+00
C = 50 ft2 F=0
STA 3+00
C=0 F = 40 ft2
STA 1+00
102. An existing pipe connects two maintenance holes (MH). A third MH is planned between the two. At the new MH, the elevation (ft) of the top of the pipe is most nearly: (A) (B) (C) (D)
628.56 628.06 627.56 623.06 PIPE STARTS AT STA. 0+23.0 (INVERT ELEV = 630.32 ft)
PROPOSED NEW MH AT STA. 1+15.0 (GROUND ELEV = 700.0 ft)
PIPE ENDS AT STA. 2+88.4 (INVERT ELEV = 609.39 ft)
60-in.-O.D. CONCRETE PIPE (6-in. WALL THICKNESS)
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CIVIL BREADTH MORNING SAMPLE QUESTIONS
128. The figure shows a road passing near a building. Using a stopping sight distance of 700 ft, you determine the minimum distance (ft) the building can be located from the center of the interior travel lane is most nearly: (A) (B) (C) (D)
54.64 60.64 64.60 66.64
?
12 ft
R = 1,000 ft BUILDING
129. The vertical alignment of a section of proposed highway is shown in the figure. The vertical clearance (ft) between the bridge structure at Station 73+00 and the vertical curve is most nearly: (A) (B) (C) (D)
BRIDGE STRUCTURE STATION 73+00 ELEVATION 365.94
15.3 19.0 19.8 22.1
PVC
PVT
g1
=−
3.0
L = 1,500 ft
%
g2=
%
+2.0
PVI STATION 76+00 PVI ELEVATION 334.56
130. The purpose of superelevation is to counterbalance: (A)
lateral wind forces
(B)
centripetal force
(C)
gravitational force
(D)
frictional force between tires and pavement
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SAMPLE QUESTIONS
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SAMPLE QUESTIONS
501. Water flows from a reservoir through a pipe and then discharges into the atmosphere as shown. Neglect energy losses in the pipe entrance and exit. The water elevation is changed such that the 2-ft-diameter pipe is flowing at a velocity of 5 fps. A 4-in. nozzle is installed on the discharge end of the 2-ft-diameter pipe. The velocity (fps) of the discharge jet is most nearly: (A) (B) (C) (D)
1 5 180 720
D = 2 ft
502. Flow from a subdivision is collected in a detention basin. Assume that a short length of 3-ftdiameter reinforced concrete pipe with a square edge inlet (loss coefficient Cd = 0.5) is used to drain the basin, the outlet of the pipe is unsubmerged, and the inlet head is 10 ft above the invert of the inlet end. The discharge (cfs) through the pipe is most nearly: (A) (B) (C) (D)
18 85 150 330
503. Flow is delivered from a splitter box to an aeration basin through a 12-in. ductile iron pipe. For a flow rate of 3 MGD, the velocity head (ft) in the ductile iron pipe is most nearly: (A) (B) (C) (D)
0.03 0.54 5.91 59.1
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SAMPLE QUESTIONS
532. The NPDES permit for a publicly owned treatment works (POTW) includes the following requirement: "Fecal coliform bacteria shall be measured daily using the most probable number method, MPN (also called the multiple tube fermentation method). The weekly geometric mean of the fecal coliform bacteria density in the effluent shall not exceed 400 MPN per 100 mL of effluent. The term 'weekly geometric mean' means the geometric mean of all daily samples taken during a calendar week." The fecal coliform densities measured during 1 week were: Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
MPN per 100 mL 110 110 900 900 350 100 350
The weekly geometric mean (MPN per 100 mL) for this week is most nearly: (A) (B) (C) (D)
110 280 350 400
533. Which of the following is least likely to be characteristic of a eutrophic, dimictic, freshwater lake? (A)
There will be an active coldwater fishery due to increased algal concentrations that supply more food to the fish.
(B)
There will be high productivity as indicated by algal growth and emergent vascular plant growth.
(C)
The hypolimnion will have a low dissolved oxygen concentration during the summer.
(D)
There will be large summertime day-night variations in the dissolved oxygen concentration in the epilimnion.
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CIVIL BREADTH MORNING SOLUTIONS
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CIVIL BREADTH MORNING SOLUTIONS
101. Reference: Kavanagh, Surveying with Construction Applications, 6th ed., 2007, pp. 569–573. Use Average End Area Method. Stationing 1+00 to 2+00 2+00 to 3+00 Total
Excavation (yd3) 50 150 100 370 2 27 50 0 100 93 2 27 463
Embankment (yd3)
0 40 100 74 2 27 74
Net excavation = 463 74 389 yd3 THE CORRECT ANSWER IS: (C)
102. Reference: Kavanagh, Surveying with Construction Applications, 6th ed., 2007, pp. 493–501. Existing: H (2 88.4) (0 23.0) 288.4 23.0 265.4 ft V 630.32 609.39 20.93 ft New: H (1 15.0) (0 23.0) 115.0 23.0 92 ft 92 V 20.93 7.26 ft 265.4 Inv Elev. 630.32 7.26 623.06 ft The top of the pipe will be above the invert elevation by (60 in. 6 in.)/12 in./ft = 4.50 ft 623.06 4.50 627.56 ft THE CORRECT ANSWER IS: (C)
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CIVIL BREADTH MORNING SOLUTIONS
103. Reference: Peurifoy and Oberlender, Estimating Construction Costs, 5th ed., Chapter 1, p. 11, Quantity Takeoff.
Horizontal length of side slope 14 Slope length
3 21.0 ft 2
(14)2 (21)2 25.24 ft
Cross-sectional area of lining (2 25.24) 9 Volume of lining
7 34.70 ft 2 12
(34.70 227) 291.7 yd3 27
Delivered volume 291.7 yd 3 1.12 327 yd3 (waste)
THE CORRECT ANSWER IS: (D)
104. Reference: Nunnally, Construction Methods and Management, 8th ed., 2011, p. 299. $75, 000 $10, 000 10 D $6,500 Book value after 8 years $75, 000 (8)($6,500) $23, 000 D
THE CORRECT ANSWER IS: (C)
105. Reference: Nunnally, Construction Methods and Management, 8th ed., 2011, pp. 282–285. Activities: Days:
7 + 4 + 5 30 + 10 + 10 = 50 days
THE CORRECT ANSWER IS: (D)
106. Reference: AGC, Construction Planning and Scheduling, pub. 3500.1, 6th ed., p. 37. Crew cost = 2($50/hr) = $100/hr $4,000 = 5 days Days allowed = 8 hr/day $100/hr THE CORRECT ANSWER IS: (C)
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SOLUTIONS
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SOLUTIONS
501. Reference: Mott, Applied Fluid Mechanics, 6th ed., p. 156. Q = VA where: Q = flow rate V = velocity A = area Q pipe Q nozzle Vpipe A pipe Vnozzle A nozzle Vnozzle Vpipe A pipe /A nozzle
(3.14)(2)2 4 5 fps (3.14)(0.333) 2 4 5 fps 36.07 180.4 fps THE CORRECT ANSWER IS: (C)
502. Reference: Viessman and Hammer, Water Supply and Pollution Control, 7th ed., p. 274. Q Cd A o 2gh where Q = outflow Cd = discharge coefficient Ao = orifice area g = acceleration of gravity h = height above center line of orifice (3 ft)2 3 ft Q 0.5 2(32.2 ft/sec2 ) 10 ft 4 2 0.5(7.06) (64.4)(8.5) 82.6 cfs THE CORRECT ANSWER IS: (B)
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WATER RESOURCES AND ENVIRONMENTAL AFTERNOON SOLUTIONS
503. Reference: Mott, Applied Fluid Mechanics, 6th ed., p. 168. Q = 3 MGD Convert the flow rate from MGD to cfs: 3 106 gal day hr min ft 3 Q day 24 hr 60 min 60 sec 7.48 gal D A Q V
4.64 cfs 12 in. 1 ft D2 (1 ft)2 0.785 ft 2 4 4 VA Q 4.64 cfs 5.91 ft/ sec A 0.785 ft 2
Velocity head, h
V2 2g (5.91 ft/ sec)2 0.54 ft 2(32.2 ft/ sec2 )
THE CORRECT ANSWER IS: (B)
504. Reference: Mott, Applied Fluid Mechanics, 6th ed., pp. 164–165. Q = VA where Q = flow rate V = velocity A = area 30 gpm 0.002228 cfs/gpm 0.0668 cfs 260 gpm 0.002228 cfs/gpm 0.579 cfs Diameter for maximum velocity A Q/V, A 3.14 D 2 /4 A 0.579 cfs/(3 ft/ sec) 0.193 ft 2 D (4 A/3.14)1/2 (4 0.193/3.14)1/2 0.496 ft
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