1 (a)
Explain the following terms with reference to theodolite:
i) transiting
ii) swinging
iii) line of collimation
iv) horizontal axis
v) faceleft observation
i) transiting
ii) swinging
iii) line of collimation
iv) horizontal axis
v) faceleft observation
10 M
1 (b)
With a neat sketch and tabular column, explain the measurement of horizontal angles by repetition methods. List the error that are eliminated by this method.
10 M
2 (a)
What are the permanent adjustments of a theodolite? Explain the spire test.
10 M
2 (b)
The following observations were made during the testing of a dumpy level
Distance AB=1500 meters.
Is the instrument in adjustment? To what reading should the line of collimation be adjusted when the instrument were at B? RL of A=432.052 m, what should be the RL of B?
Instrument | Staff Reading on | |
@ | A | B |
A | 1.702 | 2.224 |
B | 2.146 | 3.044 |
Distance AB=1500 meters.
Is the instrument in adjustment? To what reading should the line of collimation be adjusted when the instrument were at B? RL of A=432.052 m, what should be the RL of B?
10 M
3 (a)
What is a total station? List out the advantages of total station.
4 M
3 (b)
Derive the expressions for the horizontal distance, vertical distance and the elevation of an object by double plane method, when the base is inaccessible.
8 M
3 (c)
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 8.750 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.
8 M
4 (a)
Derive the expression for distance and elevation when the staff is heild vertical and the line of sight is inclined.
10 M
4 (b)
Determine the gradient from a point A to a point B from the following observations made with a tacheometer fitted with an anallactic lens. The constant at the instrument was 100 and the staff was held vertically.
Instrument Station | Staff point | Bearing | Vertical angle | Staff readings |
P | A | 134° | +10° 32' | 1.360, 1.915, 2.490 |
B | 224° | +5° 6' | 1.065, 1.885, 2.705 |
10 M
5 (a)
What are the different methods of setting out a simple circular curve?
4 M
5 (b)
Calculate the ordinates at 10 meters distance for a circular curve having a long chord of 80 meters and a versed sine of 4 meter.
6 M
5 (c)
Two Tangents intersect at a chainage of 1000 meters, the deflection angle being 28° calculate all the data necessary to set out a simple circular curve of 250 mt radius by Rankine's method and tabulated the results. Peg interval=20 mt; Least count of theodolite 20 seconds.
10 M
6 (a)
Draw a neat labelled sketch of compound curve and giving the elements of a compound curve. Explain the method of setting out compound curve.
10 M
6 (b)
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
7 (a)
What is phase of a signal? Derive the expression for phase correction when the bright portion is bisected.
10 M
7 (b)
From on eccentric stations 'S', 12.25 meters to the west of the main station B, the following angles were measured ∠BSC=76° 25' 32'' and ∠ CSA=54° 32' 20''. The station S and C are to the opposite sides of the line AB. Calculate the correct anle ABC if the lengths AB and BC are 5286.5 mt and 4932.2 m respectively.
10 M
8 (a)
A series of offsets were taken from a chain line to a curved boundary line at intervals of 15 meters in the following orders. 0, 2.65, 3.80, 3.75, 4.65, 3.60, 4.95, 5.85m
Calculate the area between the chain line, the curved boundary line and the end offset by:
i) Average ordinate rule
ii) Trapezoidal rule
iii) Simpson rule.
Calculate the area between the chain line, the curved boundary line and the end offset by:
i) Average ordinate rule
ii) Trapezoidal rule
iii) Simpson rule.
10 M
8 (b)
A railway embankment is 10 mt wide side slopes 1 1/2 to 1. Assuming the ground to be level is 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.
2.2, 3.7, 3.8, 4.0, 3.8, 2.8, 2.5.
10 M
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