1 (a)
Explain the following terms with reference to a theodolite i) Transiting ii) Swinging iii) Line of collimation iv) Centering v) Vertical axis.

10 M

1 (b)
Describe the method of measuring horizontal angle by repetition method. What are the errors that are eliminated by repetition method?

10 M

2 (a)
What are the fundamental lines of a transit theodolic? State the derived relationships between them.

10 M

2 (b)
Explain the object, necessity, test and adjustment of making the horizontal axis perpendicular to the vertical axis of a theodolite by 'SPIRE TEST'.

10 M

3 (a)
Explain the method of finding the reduced level of the top of the given object, when base is inaccessible by double plane method.

10 M

3 (b)
In order to ascertain the elevation of the top (Q) of the signal on a hill, observation were made from two instrument stations P and R at a horizontal distance 100 meters apart, the stations P and R being in line with Q. The angles of elevation of Q at P and R were 28°42' and 18°6' respectively. The staff reading upon benchmark of elevation 287.280 were respectively 2.870 and 3.750 when the instrument was at P and R, the telescope being horizontal. Determine the elevation at the foot of the signal if the height of the signal above its base is 3 meters.

10 M

4 (a)
With usual notation, derive the distance and elevation formulae for staff vertical and line of sight inclined upwards in fixed hair method of tacheometric surveying.

10 M

4 (b)
A tacheometer was setup at a station 'A' and the readings on vertically held staff at B were 2.255, 2.605 and 2.955. The line of sight being at an inclination of +8°24'. Another observation on the vertically held staff at B.M gave the readings 1.640, 1.920 and 2.200, the inclination of the line of sight being +1°6'. Calculate the horizontal distance between A and B and the elevation of B if the RL of BM is 418.685 meters. The constants of the instruments were 100 and 0.3.

10 M

5 (a)
Explain the method of setting out a simple curve by Rankine's method of deflection angles.

10 M

5 (b)
Two tangents intersect at a chainage of 100 mt, the deflection angle being 28°. Calculate the necessary data to set out a simple curve of Radius 250 mt by Rankine's method and tabulate the result Peg interval-20mt; Least count of theodolite=20°.

10 M

6 (a)
A compound curve consisting of two simple circular curve of radii 350 mt and 500 mt is to be laid out between two straights T

_{1}I and IT_{2}. PQ is the common tangent, at point of compound curvature, D The angles IPQ and JQP are respectively 55° ad 25°. Sketch and calculate the tangent points T_{1}I and IT_{2}.
10 M

6 (b)
From an eccentric station S, 12.25 meters to the west of the main station B, the following angles were measured

BSC = 76° 25' 32?

CSA=54° 32' 20''

The stations S and C, are to the opposite sides of the line AB, calculate the correct angle ABC if the lengths AB and BC are 5286.5 and 4932.2 mt respectively.

BSC = 76° 25' 32?

CSA=54° 32' 20''

The stations S and C, are to the opposite sides of the line AB, calculate the correct angle ABC if the lengths AB and BC are 5286.5 and 4932.2 mt respectively.

10 M

7 (a)
What is a Transition curve? List the functions and conditions to be fulfilled by a transition curve.

10 M

7 (b)
A road bend which deflects 80° is to be designed for a maximum speed of 100 kmph, a maximum centrifugal ratio of 1/4 and a maximum rate of change of acceleration 30 cm/sec

^{2}, the curve consists of a circular are combined with two cubic spirals. Calculate: i) the radius of the circular are ii) the requisite length of transition iii) the total length of the composite curve and iv) chainages of beginning and end of transition curve, and of the functions of the transition curve the circular are, if the chainage of PI is 42862 meters.
10 M

8 (a)
The following perpendicular offsets were taken at 10 mt intervals from a survey line to an irregular boundary line.

3.25, 5.60, 4.20, 6.65, 8.75, 6.20, 3.25, 4.20, 5.65

Calculate the area enclosed between the survey line, the irregular boundary line and the first and last offsets, by the application of i) average ordinate rule ii) Trapezoidal rule and iii) Simpson's rule.

3.25, 5.60, 4.20, 6.65, 8.75, 6.20, 3.25, 4.20, 5.65

Calculate the area enclosed between the survey line, the irregular boundary line and the first and last offsets, by the application of i) average ordinate rule ii) Trapezoidal rule and iii) Simpson's rule.

10 M

8 (b)
A road embankment is 10 mt wide with side slopes 1/2 to 1. Assuming the ground to be level in a direction transverse to the centre line, calculate the volume contained in a length of 120 meters, the centre heights at 20 m intervals being in meters. 2.2, 3.7, 3.8, 4.0, 3.8, 2.8, 2.5

10 M

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