SURVEYING.-PART I. FIRST PAPER. The Board of Examiners. 1. Describe fully the construction and adjustments of the transit theodolite, illustrating your answer with neat sketches. 2. Write a short essay on levelling by barometric methods. 3. Reduce the following levels, and apply the usual checks on the reduction : 4. Describe the construction of the vernier, and give a sketch of one which would subdivide a circle graduated to half degrees into minutes. SURVEYING.-PART I. SECOND PAPER. The Board of Examiners. Candidates presenting in Mensuration and Drawing will take this paper, but are not expected to answer question 4. 1. Prove that the volume of a pyramid is one-third the volume of a prism standing on the same base and of equal height. 2. A water supply channel 1 mile long has an average depth of 4 feet. The bottom width is 5 feet, and side slopes 2 to 1. When running under the conditions for which it is designed, it is filled to a depth of 2 feet, the mean velocity being 2 feet per second. What will be the total cost of excavating the channel at 5d. per cubic yard, and the total discharge in gallons per day? 3. What is the weight of a wrought-iron water main 5 miles long, consisting of pipes 30 inches diameter and inch thick? Allow 15 per cent. for lap, rivets, and sockets. taken with an 4. The following observations are Compute the probable elevation of station B, station A being 150 feet above sea-level. The aneroid is free from error. SURVEYING.-PART II. FIRST PAPER. The Board of Examiners. 1. Describe fully the construction and adjustments of the transit theodolite, illustrating your answer with neat sketches. 2. Describe fully the construction and adjustment of the sextant. 3. Deduce the formula for the discharge over a weir. 4. Explain fully the method of curve ranging by tangential angles. SURVEYING.-PART II. SECOND PAPER. The Board of Examiners. 1. Prove that the sides and angles of a polar triangle are respectively the supplements of the angles and sides of the primitive triangle. 2. Deduce an expression for the sine of half an angle of a spherical triangle in terms of the sines of the sides. 3. The Wallaby Creek Aqueduct is 12 feet wide at top and 4 ft. 6 in. deep, the section being a quadrant of 3 ft. 6 in. radius at the centre, with 1 to 1 slopes, and the fall 3 feet per mile. mile. Compute the discharge in gallons per day when running 3 ft. 9 in. deep, using Rankine's approximate formula. SURVEYING.-PART III. FIRST PAPER. The Board of Examiners. 1. The following levels were taken along a line of country road: Distance in Chains. : Levels in Feet. 100 Joins existing road. 95 92) Swamp; outlet for drainage of 4 square miles undulating country. Standstone hill. Strata dipping 25° across road line. 0 5 10 15 91 20 92 25 135 75) River flood level 87; drainage area 400 square miles. Hilly country, with medium rainfall. Plot the section to a suitable scale; figure in surface and formation levels, grades, depths of cuttings and heights of banks, and give crosssections at 25 and 45 chains; also indicate the provision necessary for flood waters. Ruling gradient, 3 feet per chain. 2. Describe the method you would adopt in adjusting a transit to the meridian in a room similar to the transit room in the engineering school. SURVEYING.-PART III. SECOND PAPER. The Board of Examiners. 1. The by-wash level of the Pipe Head Reservoir, Morang, is 485 feet, and of Preston Reservoir, 328 feet. Two mains 30 inches diameter, and one 27 inches diameter are laid between, the distance being seven miles. Compute the discharge on the assumption that Pipe Head is full and that Preston is 10 feet below by-wash level. 2. How would you be guided in selecting a reservoir site for supply of an important town? State the principal points to be considered in connection with the reports of the chemist and bacteriologist on the waters. 3. Discuss the relative advantages of ridge and valley roads in mountainous country. 4. What is meant by "virtual grade," and how does it affect the working of (a) passenger trains ; (b) goods trains. 5. Write a brief essay on the objects of a geodetic survey, and the methods of effecting the same. |