SURVEYING, LEVELLING, MENSURATION, AND DRAWING. THIRD PAPER. The Board of Examiners. 1. Determine the weight of a hollow cast-iron cylinder, 12 feet long, 9 in. internal diameter, and half an inch thick. 2. A wrought-iron conical buoy, with flat top, 6 feet high and 4 feet diameter is constructed of inch wrought-iron plate. Allowing 10 per cent. for lap and rivets, determine (a) Its weight. (b) The depth at which it will float in salt water when it has a wrought-iron weight of 600 lbs. hanging to the conical point. 3. An earthen tank is excavated in sidling ground, the natural slope being 4 to 1. The slopes of the excavated sides are 1 to 1, and the bottom of the tank (which is square and has two sides parallel to the line of slope), 20 yards across, and 6 yards below level of top of lowest slope. Determine amount of earthwork excavated. ADVANCED SURVEYING. FIRST PAPER. The Board of Examiners. 1. Describe fully the method of marking out the centre line of a railway, both on tangent and on curve, and show by sketches how intersection points, tangent points, road crossings, &c., are indicated. 2. The following levels were taken on a proposed line of main road: : 0 5 10 100 Joins existing road. 140 Sandstone horizontal stratification. 37 40 70 River flood level 80 rapid current. 85 50 90 Joins existing road. Plot this section, and grade the same to a ruling grade of 1 in 22. Figure in formation levels, depths of cutting, and height of bank. Indicate what provision you would make for flood water at the creek and river. Draw cross sections at 10 chains and 35 chains. ADVANCED SURVEYING. SECOND PAPER. The Board of Examiners. 1. Two stations on a suburban line of railway_are situated 3,000 feet apart. A train starts from rest at one station, increases in speed for 1,000 feet, when it attains a velocity of 30 miles per hour, then proceeds at uniform rate for 1,000 feet, and is brought to rest in the final 1,000 feet. Compute the necessary tractive force for a train of 300,000 lbs. weight, and the foot pounds of work done by the engine and absorbed by the brake on (a) A perfectly level line. (b) A line that dips on a grade of 1 in 40 for the first 1,000 feet, and rises on the same grade for the last 1,000 feet. NOTE. The friction and resistance of the air may be taken as 16 of the weight moved. 2. Give a full description of the method you would adopt for gauging the discharge of (a) A small creek, (b) A large river, and point out probable sources of error and precautions to be taken against them. 3. Given the monthly discharge of a stream and consumption of water in a town to be supplied; show by a numerical example how to determine the storage capacity required. 4. It is required to make a complete survey of Hobson's Bay, with soundings at intervals of not more than 100 yards. Explain fully how you would perform this work, and what instruments and staff you would need. 5. It is required to determine the true meridian and also the latitude of the station. What method would you adopt, and what special precautions against error would you take? What degree of precision would you expect to attain with a good 5-inch theodolite? MECHANICAL DRAWING AND DESCRIPTIVE GEOMETRY. The Board of Examiners. 1. A hexagonal prism, 6 inches long and 3 inches diameter over angles, is cut by a plane making an angle of 45° with its length. Make an accurate full size drawing of the section. 2. Make full size detailed drawings of a bolt 2 inches diameter and 8 inches long, having a hexagon head 3 inches diameter over angles, and 1 inches thick. Project carefully a single turn of the thread, the pitch being inch, and the section an equilateral triangle. DD 3. Give what information you can as to the form, properties, mode of delineation, and practical use of the following curves: (a) Cycloid. (b) Epicycloid. (c) Hypocycloid. (d) Involute of circle. 4. Make an isometrical drawing of the prism referred to in Question 1. 5. Make a perspective drawing of the object submitted to you, its length being at right angles to the picture plane. APPLIED MECHANICS. FIRST PAPER. The Board of Examiners. Only FIVE questions to be attempted. 1. Define strength, stability, and stiffness, and illustrate your answer by actual examples. 2. What is meant by complete, redundant, and deformable framed structures? Under what circumstances should each be used? A rectangular element of a framed structure consists of four massive bars forming the sides, and two light diagonal tension rods, one of which is capable of adjustment. To which of the above classes does this belong? Give reasons for your answer. |