THE INSTITUTION OF ENGINEERS, SRILANKAPART II EXAMINATIONS -DECEMBER 2013

203 Surveying

Assume any missing data Time allowed: 3 hours

Answer any five questions

[20 Marks]

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Question 01

Line AB was measured using five bays (spans) with a suspended tape under a tension of 53N,and the following data were recorded. Find the corrected length of AB.

Measured Length of Rise Betweenspan(in suspension)(m) ends of span(m)

29.560 0.33229.545 0.32428.356 0.34529.546 0.43529.635 0.423

Field temperature = 20°C,The tape was standardized on the flat under a pull of 90N and at temperature 20°C.

Tape details:

Coefficient oftherrnal expansion O.OOOOllfCYoung's modulus 207kN/mm2

Density 7700 kgl mm/Cross sectional areas 6 mm}Tension correction = (P-Ps) L lABSag correction = w2L3 I 24 p2

Temperature correction = a L (t-ts)Slope correction = h212 LReduction to mean sea level = L H IRRadius of the earth = 636/ km

Table Q.02

Question 02

1. The field data of a leveling operation are as given in Table Q.02 below. Calculate thereduced level of all stations by both the Rise and Fall Method and Height of CollimationMethod. Apply all arithmetic checks possible.

BS IS FS RL STATION1.56 200.00 A

1.24 B3.05 3.23 C

0.45 D1.56 E0.67 F

2.43 2.29 G2.01 H

2.14 0.45 I3.23 J1.34 K

3.32 L[16 Marks]

2. Explain with sketches what is meant by the following terms:I. Line of collimation

II. Horizontal lineIII. Level lineIV. Mean sea level

[04 Marks]

(a) Explain the procedure of the temporary adjustments of T-1 theodolite

Question 03

[4 Marks]

(b) The Table Q .03 indicates the lines, mean included angles and lengths of the legs of aclosed traverse. The whole circle bearing ofline AB is 220°02' 20".

Table Q.03

Line Mean Included Anale Length (m)AB 8A 38° 28' 43" 93.575BC 8B 133°01' 40" 84.245CD 8c 120° 45' 22" 86.966DE eo 93°29'13" 68.0911Eli- 8E 81°26'18" 67.243PA 8~ 26r46'50" 108.47

(i). Use the appropriate method of checking and show whether there is any error in angularmeasurements.

[3 Marks]

(ii). Compute the closing error in the traverse.[3Marks]

(iii). Calculate the final coordinates value of all traverse points. Co-ordinate values of a pointA are 1000.0 Nand 2000.0 E (in meters)

[10 Marks]

E(m) N(m)A 1000.00 1000.00B 1035.12 1025.62C 1067.16 1048.98

Question 04

Three collinear ground control points A, Band C have the following co-ordinates:

A tacheometer was set up at station X westwards of ABC, and the following information booked:

Station Staff station Horizontal Vertical Stadia readingsanale Angle

A 00000' 2000' 1.00, A\, A2X B 170 09' 48" 1000' 1.00, B\, B2

C 42042'44" -3000' 1.00, C\, C2

If the multiplying constant and the additive constant of the tacheometer were 100 and arespectively, estimate the values of A],A2, B], B2, C], and C2 obtained on a staff held vertically.

[20 Marks]

(a) The following coordinates were obtained for a closed traverse ABCDEFA using the TotalStation. Find the area enclosed by the polygon ABCDEFA.

Question 05

Point E(IIl) N(m)

A 1162.416 1006.595B 1198.953 973.966C 1304.918 988.838D 1319.237 1071.205E 1228.145 1105.237F 1170.314 1058.050

[12Marks]

(b) In a tape and offset survey the following offsets were taken to a fence from a survey line:

Chainage 0 20 40 60 80 100 120 140 160 180(m)

Offset 22/00 14/00 15/00 13.00 18.00 33.5 19.00 17.00 22.86 11..00(m)

Chainage 200 230 270 310(m)

Offset 11.00 25.00 13.00 18.00(m)

Find the area between the fence and the survey line using Simpson's Rule and Trapezoidal Rule.[8

Marks]

~ ~=-----==---==--===----===-=--:--·I

[3 Marks]

Question 06

a) Derive a formula for the cross-sectional area of a section with cross-fall (in terms offormation width b, side slopes 1 in m and 1 in n , center height h, and the cross fall ofexisting ground 1in k )

[5 Marks]

b) Using the above formula calculate the side widths and cross-sectional area of an embankmentof a road with formation width 15.0 rn , and side slopes 1 in 2.5, when the center height is4.5 m and existing ground has a cross-fall of 1 in 12 at right angles to the centre line of theembankment.

[5 Marks]

c)i. Discuss the advantage and disadvantage ofEDM measurements.

[3 Marks]

ii. Clearly describe with illustration the"Modulation of ElectrornagneticWaves"

HI. Prove that maximum non-ambiguous distance (Dmax)

Where AI and A2 are wavelengths. of a signal[4 Marks]

Question 07

(a).Following are the data necessary to plot a mass-haul diagram for a road project:

Chainage(m) Individual Individual Bulking orCut(+) Fill(-) ShrinkageVolumetrn ') Volumetm ') factors

0 - - -50 147 453 1.2100 67 245 1.1150 445 300 1.1200 345 345 1.1250 234 540 1.1300 422 0 0.9350 456 102 1.1

I. Prepare a table showing the corrected individual volume and accumulated volume againstthe chainages,

[3 Marks]

II. Plot the mass-haul diagram for the stretch of road considered above, on a graph sheet.[3 Marks]

III. Between the chainage 250m and 300 111, a culvert has to be constructed, using onlyimported (borrow) material for the fill. Calculate the amount of borrow material requiredfor the fill.

[2 Marks]

IV. Indicate an appropriate arrangement of (discontinuous) balancing lines which will showborrow material requirement mentioned in (iii) above, on your mass-haul curve. Indicateany other waste or borrow material volumes that occur on the stretch of this workaccording to your selected balancing lines.

[2 Marks]

(b).Tabulate data needed to set out by theodolite and tape a circular curve of radius 500 mto connect two straights having a deflection angle of 260 18'. The chainage of theintersection point is 2520 11l.

[10 Marks]