1. Given below the bearing and distance of a closed traverse. LINES BEARING DISTANCE АВ S 32°17' W 110.20 BC N 36°25' W 100.00 CD N 15°47' W 25.00 DA N 73°07' E 97.75 a) Compute the latitudes and departures of each course. Latitude = Cos Bearing x distance: North latitude is positive and South latitude is negative. Departure = Sin Bearing x distance: East departure is positive and West departure is negative. b) Compute algebraic sum of latitude and departure, CL and CD The algebraic sum, CL =0, if not zero, the traverse is not mathematically closed. The algebraic sum, CD = 0, if not zero, the traverse is not mathematically closed. c)Determine the linear error of closure Lec = v(CD)° + (CD)² d) Determine the relative error of closure (precision). LEC RE = Perimeter e) Compute the bearing of the side of error Tan bearing = CD f) Adjust the traverse using compass rule. g) Draw the figure properly.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1. Given below the bearing and distance of a closed traverse.
LINES
BEARING
DISTANCE
АВ
S 32°17' W
110.20
BC
N 36°25' W
100.00
CD
N 15°47' W
25.00
DA
N 73°07' E
97.75
a) Compute the latitudes and departures of each course.
Latitude = Cos Bearing x distance: North latitude is positive and South latitude is negative.
Departure = Sin Bearing x distance: East departure is positive and West departure is negative.
b) Compute algebraic sum of latitude and departure, CL and CD
The algebraic sum, CL =0, if not zero, the traverse is not mathematically closed.
The algebraic sum, CD = 0, if not zero, the traverse is not mathematically closed.
c)Determine the linear error of closure
Lec = v(CD)° + (CD)²
d) Determine the relative error of closure (precision).
LEC
RE =
Perimeter
e) Compute the bearing of the side of error
Tan bearing =
CD
f) Adjust the traverse using compass rule.
g) Draw the figure properly.
Transcribed Image Text:1. Given below the bearing and distance of a closed traverse. LINES BEARING DISTANCE АВ S 32°17' W 110.20 BC N 36°25' W 100.00 CD N 15°47' W 25.00 DA N 73°07' E 97.75 a) Compute the latitudes and departures of each course. Latitude = Cos Bearing x distance: North latitude is positive and South latitude is negative. Departure = Sin Bearing x distance: East departure is positive and West departure is negative. b) Compute algebraic sum of latitude and departure, CL and CD The algebraic sum, CL =0, if not zero, the traverse is not mathematically closed. The algebraic sum, CD = 0, if not zero, the traverse is not mathematically closed. c)Determine the linear error of closure Lec = v(CD)° + (CD)² d) Determine the relative error of closure (precision). LEC RE = Perimeter e) Compute the bearing of the side of error Tan bearing = CD f) Adjust the traverse using compass rule. g) Draw the figure properly.
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