2. In latitude 35° south a' Crucis is observed during the western portion of its orbit at an elevation (apparent) of 45° 12′ to bear 43° west of a referring lamp. Assuming the north polar distance of the star as 152° 30', the height of barometer to be 30.05", and the temperature of the air 72°, determine the azimuth of the referring lamp from the point of observation. 3. The angle of deflection of a circular curve of given radius being known, show how the distances from the intersection to the tangent points, and secant or crown; also the length of arc may be determined. Describe fully the operation of laying out points on the curve by tangential angles, explaining the precautions to be taken when sighting from different points of the curve. SURVEYING, LEVELLING, MENSURATION, AND DRAWING. THIRD PAPER. The Board of Examiners. 1. State fully the method of determining differences of level by barometric observations. 2. Prove that the volumes of cylinders and cones of equal bases and altitudes are as 3 to 1, and that the volume of a sphere is equal to two-thirds that of the circumscribing cylinder. T 3. Prove that in a frustrum of a cone or pyramid, where the end areas (A and a) are portions of parallel planes, and is the perpendicular distance between such planes, that Vol. = 3 (4+ a + √ Aa). 4. Prove that the prismoidal formula applies to al solids which can be resolved into a combination of prisms, cylinders, wedges, pyramids, cones, and frustra of pyramids and cones, having a common length. ADVANCED SURVEYING. FIRST PAPer. The Board of Examiners. 1. Make a sketch plan of any one of the Victorian main lines of railway extending 100 miles from Melbourne, giving approximate distances, levels, curves, grades, provisions for flood discharge, and other particulars. Discuss the reasons for the route adopted, and curves and grades employed. 2. Discuss the relative advantages of helical tunnels and zig zags on mountain railways. Give a description, illustrated by sketches, of railways on which these expedients have been adopted. 3. The following levels were taken on a proposed line of main road: 35 40 45 50 110 River flood level 85; rapid current. 105 Small creek drains square mile. 110 120 Joins existing road. Plot the section, and show suitable grades for main road traffic; and figure in formation levels, depths of cutting, and height of bank; and indicate what provision you would make for flood water. Draw cross sections at 12 and 20 chains. 4. What is meant by the virtual grade of a railway. Show by an example how such a grade is drawn. ADVANCED SURVEYING. SECOND PAPER. The Board of Examiners. 1. Describe fully Revy's current meter, and explain how it is adjusted and used to determine the discharge of large rivers. 2. A channel starts from a reservoir of still water, its longitudinal gradient varies at different parts of its length, and sharp curves occur on steep grades. Explain carefully how you would design the cross section so that every part of the channel would run full without overflowing. 3. Discuss fully the method of determining the effect of a weir upon the flood levels of the river above. 4. Write an essay on tides and tide-gauging. 5. Explain fully how you would proceed to determine the true meridian with a high degree of accuracy. Describe the instruments used, the calculations required, and the precautions you would take against instrumental and atmospheric errors. MECHANICAL DRAWING AND DESCRIPTIVE GEOMETRY. The Board of Examiners. 1. A brick is placed so that its longest edges are inclined 30° to the horizontal and 10° to the vertical plane of projection, while its shortest edges are horizontal. Draw its plan and elevation. 2. A brick wall in Flemish bond is 3 feet long, 9 inches thick, and 1 foot high. Make a perspective drawing of it, one angle of the wall touching the picture plane, and its length making an angle of 30° with that plane. The point of sight is to be 1 foot above the top of the wall, and 1 foot to the right of the angle that touches the picture plane. Use what scale for this you think suitable. 3. Draw an epicycloid, the fixed circle being 4 and the rolling circle 2 inches diameter. 4. Make an isometrical drawing of a steam boiler 24 feet long, 6 feet 3 inches diameter, with a 3 feet 6 inch furnace tube 6 inches above the bottom, and a dome 3 feet high and 2 feet diameter placed at the centre of its length. Show all joints in shell, also rivets attaching gussets to shell and end. Scale optional. APPLIED MECHANICS. The Board of Examiners. 1. Give and account of Sir B. Baker's experiments on wind pressure at the Forth Bridge, and compare the results with those obtained at the Melbourne Observatory, and with the overturning pressure of ordinary railway carriages and chimneys. 2. The external dimensions of a brick structure are as below, and the thickness is 1 bricks. Lower part-Circular tower 20 feet diameter, 20 feet high, Middle part-Conical frustrum diameters 20 and 10 feet, height 10 feet. Upper part-Circular tower 10 feet diameter, 10 feet high. Compute the stresses throughout this structure, and design the necessary ironwork to relieve the brickwork of all tension, the weight of the brickwork being taken at 120 lbs, per cubic foot, |