surveyingtopicsfeexamreview2012fall (1)
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Surveying Topics on FE Exam
Civil Afternoon Session of Fundamentals of Engineering (FE) Exam – approximately 11% of the test content is surveying questions (Distances, Angles, Trigonometry, Area Computations, Closure, Coordinate Systems, Level, Earthwork Volume computations and curves (horizontal & vertical)
1. Distances (http://faculty.unlv.edu/jensen/CEE_121/index.htm#FEdistances)
a. Given the coordinates of two points, Point A (125,25) and Point B (155,65), determine the length between them.
i.
b. Given: Measurement of 1372.13 ft at temperature of 13°F. Find the measured distance adjusted for the correction. (Schaum's Outlines - Introductory Surveying, by James R. Wirshing and Roy H. Wirshing, Problem 3.11, p. 58)
i. see lecture notes on Steel Tape Temperature Correctionsii. corrected distance = 1372.13' + 0.00000645(13° - 68°)1372.13'
iii. Solution: 1371.64 ftiv. Correct Distance = record distance + CT
1. "Note: ambient temperature greater than the standard temperature makes the tape longer than its standard length, thereby recording a lesser tape reading (negative error), and the correction should be added (positive correction)." (Kaplan AEC Education - Civil Engineering FE/EIT Preparation, 4th Edition, Indranil Goswami, p. 105)
2. CT is negative for temperatures below 68°F3. CT is positive for temperatures above 68°F
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v. CT = k(T1 - T)L 1. CT = Correction of Length for Temperature
a. "When measuring an unknown distance, if the tape is too short, subtract the correction; if the tape is too long, add the correction"
b. "When laying out a given distance, if the tape is too short, add the correction; if the tape is too long, subtract the correction." (Surveying Fundamentals and Practices, 6th Edition by Nathanson, Lanzafama and Kissam, p. 73)
2. k = the coefficient of thermal expansion and contraction of the steel tape. Approximately 0.00000645 (6.5X10-6) per unit length per degree Fahrenheit. Approximately 0.0000116 (1.16X10-5) per unit length per degree Celsius.
3. T1 = tape temperature at time of mesaurement 4. T = tape temperature when it has standard length.
a. "The tapes are standardized for 68°F (20°C). At 68°F the tape should be the correct length." (Schaum's Outlines - Introductory Surveying by James R. Wirshing and Roy H. Wirshing, p. 50)
5. L = the observed/recorded length of the line measured with the steel tape
vi.
vii.c. What is the horizontal distance by stadia from the automatic level and the
leveling/Philadelphia rod in the below figure? Answer 28 feet
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2. Angles and Trigonometry
(http://faculty.unlv.edu/jensen/CEE_121/index.htm#FEangles)a. Given a triangle with a=45.0, b=67.0, and angle C=145°, solve for side c and angles A
and B. (Surveying Fundamentals and Practices, 6th Edition by Nathanson, Lanzafama, & Kissam, Example 3-15, p. 48)
i. Law of Cosines1. a2 = b2 + c2 - 2bc cos A 2. b2 = a2 + c2 - 2ac cos B 3. c2 = a2 + b2 - 2ab cos C
4.ii.
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b.c. Convert between DD and DMS
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i.
d. Convert between Azimuths and Bearings
i.e. Adding angles
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i.
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2. Area Computations (http://faculty.unlv.edu/jensen/CEE_121/index.htm#AreaTraverse)
a.
b.
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c.
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3. Closure (http://faculty.unlv.edu/jensen/CEE_121/index.htm#TraverseCompassRuleMisclosure)
a. "The angular misclosure for an interior-angle traverse is the difference between the sum of the observed angles and the geometrically correct total for the polygon." (Elementary Surveying, 12th Edition, Ghilani & Wolf, p. 232)
b. Misclosure is also known as angular errorc.
d. What is the Linear Error of Closure (LEOC) on a traverse with a total length of 2466 feet and a misclosure error of 0.081 feet?
i. "After measuring 2466 feet, the traverse had an LEOC of 0.081 feet. Expressed as a ratio, 1 foot in 30000 feet means that if the field crew had measured 30000 feet using the same techniques and precision, they would have been off 1 foot." (Construction Surveying and Layout, 3rd Edition by Wesley G. Crawford, Creative Construction Publishing, Inc. p. 14-24)
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ii.
e.
4. Coordinate Systems5. Level
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6. Earthwork
(http://faculty.unlv.edu/jensen/CEE_121/index.htm#Earthwork)
a.b.
c. Given just black portion of the above figure in the problem description. The volume of the embankment per 100-ft length is most nearly equal to? (Civil Engineering Problems and Solutions , 14th Ed, Donald G. Newnan, p. 12-26 and 13-31)
i. 5000 ft3
ii. 8250 ft3
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iii. 52,000 ft3
iv. 82,500 ft3 (correct answer) v. 102,800 ft3
d.
e.
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f. “Two level sections 75 ft apart with center heights 4.8 and 7.2 ft in fill, base width 30 ft, side slopes 2:1.” (Elementary Surveying, 13th Edition by Ghilani & Wolf, Problem 26.4, p. 795)
7. Two level sections 75 ft apart with center heights 4.8 and 7.2 ft in fill, base width 30 ft, side slopes 2:1. (Elementary Surveying, 13th Edition by Ghilani and Wolf, Problem 26.4, p. 795)
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9. Curvesa.
b. T = tangent distance from PC to PI
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c.