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(civl102)[1995](f)final~PPSpider^_10055.pdf
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HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY
DEPT. OF CIVIL & STRUCTURAL ENGINEERING

CIVL 102 - SURVEYING FINAL EXAMINATION
Answer ALL Questions
Note: some questions (in purple) are irrelevant to the now-revised 2003 syllabus
Name: Student No:

Saturday, Dec. 16 1995

**** You must return this question sheet with your examination booklet. ****
_____________________________________________________________________

1.
(a) Coffee was spilt over the booking form shown in Table 1, spoiling some of the levelling data (marked Xs) which you must now determine. Show all steps, but enter your final answers in the appropriate spaces in Table 1 (15%). Apply the usual arithmetic check (5%).




Table 1
BS
IS
FS
HPC
RL
Remarks

2.123

X1
X2
Benchmark


X3
148.838
Point A

3.875

2.876
X4
X5
Change Point 1


3.180
149.942
Point B


2.876
X6
Point C


X7
158.854
Point D (underside of
bridge; staff inverted)

4.330

X8
X9
X10
Change Point 2



2.990
151.327
Point E




(b) Suppose all the levels (i.e. the equipment for levelling) are stolen during the surveying camp, and you are only left with a staff (i.e. the ruler) and the traversing equipment. Can you still perform levelling? If so, how? (5%)

2.
The given coordinates of trig. stations G1, G2 and G3 are (830568.426 mE, 820038.798 mN), (830099.023 mE, 820074.863 mN), and (830304.729 mE, 820369.945 mN), respectively. Resection was carried out at point P inside the triangle G1-G2-G3, and the mean horizontal angles observed were G2-P-G3 = 12043'32", G3-P-G1 = 11723'24", and G1-P-G2 = 12153'04".



(a) Draw a rough sketch of the resection figure; label all stations/angles. (5%)
(b) Apply Tienstras formula to determine the (E, N) coordinates of P. Show all work, but you must fill out Table 2.1 provided below: (10%)

Table 2.1
Station
G1
G2
G3

Interior angle at station




K1/2/3





(E, N) coordinates of P = ( mE, mN)




(c) After mapping a (closed) irregular 2-D geometrical object, how would you determine its area accurately (to three decimal places, say)? If you use a software, explain the procedure clearly, and be specific about what commands to use. (5%)


(d) Suppose the area (in m2) of each sub-triangle was found as follows,


Table 2.2 Area of triangle
P-G2-G3
P-G3-G1
P-G1-G2

18086.497
24909.008
29970.030




but the field data on the observed angles as well as the calculated coordinates of P were lost. Using Table 2.2 and trig. station coordinates only, i.e. without using any angular values, again calculate the coordinates of P to 3 decimal places. You should obtain the same results as you did in