civil: STRUCTURAL
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PE
principles and practice of engineering
civil:
STRUCTURAL sample questions + solutions
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 978-1-932613-63-6 Printed in the United States of America November 2010 First printing April 2013 Second printing
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 ............................................................................... 55 Afternoon Solutions ............................................................................ 71
iii
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 throughout 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.
1
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CIVIL BREADTH MORNING SAMPLE QUESTIONS
11
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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)
Copyright 2011 by NCEES
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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
Copyright 2011 by NCEES
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STRUCTURAL AFTERNOON SAMPLE QUESTIONS
29
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STRUCTURAL AFTERNOON SAMPLE QUESTIONS
501. The following data apply to the structure shown in the figure. Ground snow load = 20 psf. Roof is fully exposed with wood shingles. Open terrain Occupancy Category I Unheated structure Design Code: ASCE 7: Minimum Design Loads for Buildings and Other Structures, 2005. Roof joists span from the exterior walls to the ridge beam. The design snow load (psf) for roof joists is most nearly: (A) (B) (C) (D)
RIDGE BEAM
19 ft
10 12 16 20
6
12
502. The figure shows a one-story building with CMU walls on three sides and a glass storefront. The uniform load shown in the figure is the wind reaction acting at the top of the wall, directly into the diaphragm. The resultant force (kips) on Wall B from the wind acting on the front wall is most nearly: 60 ft
(A) (B) (C) (D)
4 6 8 12
WALL C WALL A
WALL B 200 plf
40 ft
GLASS STOREFRONT
200 plf
N
PLAN
Copyright 2011 by NCEES
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STRUCTURAL AFTERNOON SAMPLE QUESTIONS
513. The pipe member shown in the figure has a constant section and the following properties: Outside diameter Moment of inertia Area
10 in. 90 in4 2 7 in
Neglecting the weight of the pipe, the maximum compressive stress (ksi) at the support is most nearly: (A) (B) (C) (D)
20 kips
2.9 10.4 13.3 16.2
1 ft
4 ft
514. Referring to the figure, the torsional moment (in.-kips) in the spandrel (neglect the spandrel selfweight) is most nearly: (A) (B) (C) (D)
12 in.
400 800 1,230 2,770
8 in.
72 in.
100 kips
12 in.
24 in.
Copyright 2011 by NCEES
36
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STRUCTURAL AFTERNOON SAMPLE QUESTIONS
528. A connection is shown in the figure. Design Code: AISC: Steel Construction Manual, 13th edition. Material: A36 steel Assumptions: The bolt is sufficient. The concrete is sufficient. The load P is equally distributed along the entire 6-in.-long angle. The maximum load P (ASD) or Pn (LRFD) in kips that can be carried by the angle is most nearly:
(A) (B) (C) (D)
ASD 1.1 1.4 1.6 2.0
LRFD 1.7 2.4 2.7 3.4 1-1/2 in. 2-1/2 in.
L 6 × 4 × 3/8 × 6 in. LONG
P
4 in.
Copyright 2011 by NCEES
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CIVIL BREADTH MORNING SOLUTIONS
55
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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 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 V
THE CORRECT ANSWER IS: (C)
57
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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)
58
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STRUCTURAL AFTERNOON SOLUTIONS
71
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STRUCTURAL AFTERNOON SOLUTIONS
501. pf 0.7 Ce C t I pg (Eq. 7-1) where Ce 0.9 (Table 7-2) C t 1.2 (Table 7-3) I 0.8 (Table 7-4) pg 20 psf pf (0.7)(0.9)(1.2)(0.8)(20) 12.1 psf ps Cs pf (Eq. 7-2) and Cs 1.0 (Figure 7-2) 1.0(12.1) 12.1 Unbalanced snow load I pg (Paragraph 7.6.1) 0.8(20) 16 psf 16 psf controls THE CORRECT ANSWER IS: (C)
502.
60(200) 6 kips 2 THE CORRECT ANSWER IS: (B)
503. Reference: IBC 2006/ASCE 7-05. IBC 2006 refers to ASCE 7-05. Per ASCE 7-05, 11.7.2, (Seismic Design Category A)
F 0.01w w dead load 0.01(200, 000) 2, 000 lb
THE CORRECT ANSWER IS: (A)
504. Maximum moment occurs when load is at beam midspan. (20 kips)(30 ft) M Pl 150 ft-kips 4 4 THE CORRECT ANSWER IS: (C)
73
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STRUCTURAL AFTERNOON SOLUTIONS
505. Take moments about Support B: R a 24 6.4 24 2 242 /2 20 1.55 82 /2 1 8 0 R a 28 kips THE CORRECT ANSWER IS: (C)
506. Calculate reactions by taking moments about Support A: (6 kips)(5 ft) (1 kip/ft)(20 ft)(20 ft/2) R B (20 ft) R B 11.5 kips; R A 14.5 kips Location of maximum moment is where shear diagram = 0 3.5 kips 11.5 kips x (15 ft x) A 3.5(15 x) 11.5x 5 ft x 3.5 ft Distance from right end: 14.5 20 ft (5 ft 3.5 ft) 11.5 ft V (kips)
6 kips 1 kip/ft B 15 ft 9.5 3.5 x
M (ft-kips)
THE CORRECT ANSWER IS: (D) 2 (2)(12) 2 (8) 507. FEM BA Pa2 b 5.76 ft-kips 2
L
20 2 (1)(15) 2 18.75 ft-kips FEM BC wL 12 12 18.75 5.76 12.99 ft-kips
THE CORRECT ANSWER IS: (B)
74
11.5
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PE Sample Questions and Solutions Published by NCEES
Chemical Civil: Construction Civil: Geotechnical Civil: Structural Civil: Transportation Electrical and Computer: Electrical and Electronics Electrical and Computer: Computer Engineering Electrical and Computer: Power Environmental Mechanical: HVAC and Refrigeration Mechanical: Mechanical Systems and Materials Mechanical: Thermal and Fluids Systems Structural Engineering
For more information about these and other NCEES publications and services, visit NCEES.org or call Customer Service at (800) 250-3196.
PE
principles and practice of engineering
civil:
STRUCTURAL sample questions + solutions
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 978-1-932613-63-6 Printed in the United States of America November 2010 First printing April 2013 Second printing
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 ............................................................................... 55 Afternoon Solutions ............................................................................ 71
iii
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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 throughout 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.
1
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
CIVIL BREADTH MORNING SAMPLE QUESTIONS
11
This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
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)
Copyright 2011 by NCEES
12
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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
Copyright 2011 by NCEES
23
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This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
STRUCTURAL AFTERNOON SAMPLE QUESTIONS
29
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STRUCTURAL AFTERNOON SAMPLE QUESTIONS
501. The following data apply to the structure shown in the figure. Ground snow load = 20 psf. Roof is fully exposed with wood shingles. Open terrain Occupancy Category I Unheated structure Design Code: ASCE 7: Minimum Design Loads for Buildings and Other Structures, 2005. Roof joists span from the exterior walls to the ridge beam. The design snow load (psf) for roof joists is most nearly: (A) (B) (C) (D)
RIDGE BEAM
19 ft
10 12 16 20
6
12
502. The figure shows a one-story building with CMU walls on three sides and a glass storefront. The uniform load shown in the figure is the wind reaction acting at the top of the wall, directly into the diaphragm. The resultant force (kips) on Wall B from the wind acting on the front wall is most nearly: 60 ft
(A) (B) (C) (D)
4 6 8 12
WALL C WALL A
WALL B 200 plf
40 ft
GLASS STOREFRONT
200 plf
N
PLAN
Copyright 2011 by NCEES
30
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This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
STRUCTURAL AFTERNOON SAMPLE QUESTIONS
513. The pipe member shown in the figure has a constant section and the following properties: Outside diameter Moment of inertia Area
10 in. 90 in4 2 7 in
Neglecting the weight of the pipe, the maximum compressive stress (ksi) at the support is most nearly: (A) (B) (C) (D)
20 kips
2.9 10.4 13.3 16.2
1 ft
4 ft
514. Referring to the figure, the torsional moment (in.-kips) in the spandrel (neglect the spandrel selfweight) is most nearly: (A) (B) (C) (D)
12 in.
400 800 1,230 2,770
8 in.
72 in.
100 kips
12 in.
24 in.
Copyright 2011 by NCEES
36
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This is a preview. Some pages have been omitted. Copyrighted by NCEES. For permission to reuse, email [email protected].
STRUCTURAL AFTERNOON SAMPLE QUESTIONS
528. A connection is shown in the figure. Design Code: AISC: Steel Construction Manual, 13th edition. Material: A36 steel Assumptions: The bolt is sufficient. The concrete is sufficient. The load P is equally distributed along the entire 6-in.-long angle. The maximum load P (ASD) or Pn (LRFD) in kips that can be carried by the angle is most nearly:
(A) (B) (C) (D)
ASD 1.1 1.4 1.6 2.0
LRFD 1.7 2.4 2.7 3.4 1-1/2 in. 2-1/2 in.
L 6 × 4 × 3/8 × 6 in. LONG
P
4 in.
Copyright 2011 by NCEES
45
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CIVIL BREADTH MORNING SOLUTIONS
55
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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 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 V
THE CORRECT ANSWER IS: (C)
57
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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)
58
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STRUCTURAL AFTERNOON SOLUTIONS
71
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STRUCTURAL AFTERNOON SOLUTIONS
501. pf 0.7 Ce C t I pg (Eq. 7-1) where Ce 0.9 (Table 7-2) C t 1.2 (Table 7-3) I 0.8 (Table 7-4) pg 20 psf pf (0.7)(0.9)(1.2)(0.8)(20) 12.1 psf ps Cs pf (Eq. 7-2) and Cs 1.0 (Figure 7-2) 1.0(12.1) 12.1 Unbalanced snow load I pg (Paragraph 7.6.1) 0.8(20) 16 psf 16 psf controls THE CORRECT ANSWER IS: (C)
502.
60(200) 6 kips 2 THE CORRECT ANSWER IS: (B)
503. Reference: IBC 2006/ASCE 7-05. IBC 2006 refers to ASCE 7-05. Per ASCE 7-05, 11.7.2, (Seismic Design Category A)
F 0.01w w dead load 0.01(200, 000) 2, 000 lb
THE CORRECT ANSWER IS: (A)
504. Maximum moment occurs when load is at beam midspan. (20 kips)(30 ft) M Pl 150 ft-kips 4 4 THE CORRECT ANSWER IS: (C)
73
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STRUCTURAL AFTERNOON SOLUTIONS
505. Take moments about Support B: R a 24 6.4 24 2 242 /2 20 1.55 82 /2 1 8 0 R a 28 kips THE CORRECT ANSWER IS: (C)
506. Calculate reactions by taking moments about Support A: (6 kips)(5 ft) (1 kip/ft)(20 ft)(20 ft/2) R B (20 ft) R B 11.5 kips; R A 14.5 kips Location of maximum moment is where shear diagram = 0 3.5 kips 11.5 kips x (15 ft x) A 3.5(15 x) 11.5x 5 ft x 3.5 ft Distance from right end: 14.5 20 ft (5 ft 3.5 ft) 11.5 ft V (kips)
6 kips 1 kip/ft B 15 ft 9.5 3.5 x
M (ft-kips)
THE CORRECT ANSWER IS: (D) 2 (2)(12) 2 (8) 507. FEM BA Pa2 b 5.76 ft-kips 2
L
20 2 (1)(15) 2 18.75 ft-kips FEM BC wL 12 12 18.75 5.76 12.99 ft-kips
THE CORRECT ANSWER IS: (B)
74
11.5
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PE Sample Questions and Solutions Published by NCEES
Chemical Civil: Construction Civil: Geotechnical Civil: Structural Civil: Transportation Electrical and Computer: Electrical and Electronics Electrical and Computer: Computer Engineering Electrical and Computer: Power Environmental Mechanical: HVAC and Refrigeration Mechanical: Mechanical Systems and Materials Mechanical: Thermal and Fluids Systems Structural Engineering
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