angles to the picture plane, and 5 inches to the left of the centre of vision, and all construction to be clearly shown.

6. The colony of Victoria extends from 141° to 150° east longitude, and from 34° to 39° south latitude. Lay down the parallels and meridians on a conical projection to a scale of 100 miles to 1 inch.

APPLIED MECHANICS.

FIRST PAPEr.

The Board of Examiners.

Only FIVE questions to be attempted.

1. A brick obelisk is 8 feet square at bottom, 5 feet square at top, and 60 feet high. Compute the maximum wind pressure it can safely resist on one face, and describe carefully the way in which it would fail under excessive wind pressure.

2. Draw a transverse section showing the construction of the dome of St. Paul's Cathedral, London, and explain carefully the state of stress in the various parts of the structure.

3. A beam of span 7 is supported at each end and loaded with weights w1, w, and w, at points distant a, b, and c feet from one end. Determine the bending moment and shearing force throughout the beam.

4. A beam carrying a uniformly distributed load is supported at two points. Determine the positions of those points in order that the bending moment may be as small as possible.

5. What is meant by horizontal shear in beams? How do you calculate its amount?

6. A rolled steel girder has its flanges 5 inches wide and half-an-inch thick and its web 10 inches deep and half-an-inch thick. Compute accurately its moment of resistance.

7. What is meant by tearing shearing and bearing area in riveted joints, and what is the allowable stress in each case for wrought-iron and steel railway bridge work? Arrange a riveted joint of maximum efficiency for a bar 6 inches wide and inch thick, the rivets being inch diameter and in single shear.

APPLIED MECHANICS.

SECOND PAper.

The Board of Examiners.

Only FIVE questions to be attempted.

1. Determine the stresses in the bridge girder shown by the diagram on the black-board.

2. Determine the stresses in the roof truss shown on the black-board.

3. A wrought-iron steam boiler, 6 feet diameter and 20 feet long, has flat ends and an internal furnace tube 3 feet diameter. The longitudinal joints are double, and the circumferential joints single rivetted. The metal throughout is inch thick. Calculate the bursting pressure of the cylindrical shell, and indicate the arrangements you would adopt to ensure that the ends and furnace tube would not fail at a less pressure than the shell.

4. A suspension bridge consists of a parabolic cable, vertical rods, and stiffening girders hinged at centre. Discuss fully its state of stress when loaded all over, and when loaded from the end to the centre.

5. Assuming that the girder in the last question was not hinged at the centre, discuss the effect of partial loading and variations of temperature.

6. Describe fully the process of testing a sample of mild steel in the testing machine, and determining the modulus, and limit of elasticity, maximum and final stress, elongation and reduction of area. State approximately what results you would expect from a good sample.

CIVIL ENGINEERING.-PART I.

FIRST PAPER.

The Board of Examiners.

1. What is the object of borings and trial shafts in connection with engineering works? In what way is work of this kind carried out, and what precautions should be taken to avoid misleading results?

2. A railway cutting, varying from nothing to 50 feet in depth, is to be made in silurian rock and clay, and the material employed for an embankment distant about three-quarters of a mile, the line falling from the cutting to the bank. Describe fully how you would accomplish this, and what appliances you would employ.

3. Give all the information you can as to the nature and properties of Oregon and Rimu timber. For what purposes would you employ these materials, and what special precautions would you take to ensure their durability?

4. Give all the information you can relative to the manufacture and mode of testing the quality of cast and wrought iron.

5. Describe carefully the mode of procedure and appliances used in constructing a large cast-iron cylinder for a bridge.

6. Describe fully the method of quarrying and dressing large rectangular blocks of bluestone for important engineering works.

7. Write a short essay on mortar and concrete.

CIVIL ENGINEERING.-PART I.

SECOND PAPER.

The Board of Examiners.

Supply working drawings and specification of material and workmanship for any two of the following:(a) A galvanized-iron fence similar to that on the north side of the University grounds, with a gate suitable for carts or waggons to enter.

(b) A timber culvert of 20 square feet water-way to pass under an embankment 10 feet high and 30 feet wide at top.

(c) Cast-iron water pipes, 12 inches diameter, to withstand a working pressure of 100 lbs. per square inch.

(d) A brick culvert of circular section for the case mentioned in section (b).