2. Reduce the traverse shown below and determine the area, the lengths being in links

3. Explain fully the method of determining distances by means of Stadia readings.

SURVEYING, LEVELLING, MENSURATION,

AND DRAWING.

THIRD PAPER.

The Board of Examiners.

1. Prove that the surface of a right cone, exclusive of its base, equals one-half the circumference at the base multiplied by the slant height.

2. An ordinary railway cutting is 20 feet wide at the bottom, and has side slopes of 1 to 1. Compute the volume of a portion of this cutting 1 chain in length, 10 feet deep at one end, and 20 feet deep at the other

(a) By the prismoidal formula.

(b) By the method of mean areas.

3. A circular reservoir is 100 feet in diameter at the top, 50 feet diameter at the bottom, and 10 feet deep

(a) How many cubic yards of earth must be removed in evcavating the reservoir?

(b) How many gallons will it contain when filled to a depth of 9 feet?

4. Determine approximately the weight of a tramway cable 1 inches diameter which is coiled on a cylinder 6 feet long and 2 feet in diameter, the external diameter of the coil being 6 feet.

DRAWING AND QUANTITY SURVEYING. The Board of Examiners.

A circular reservoir is 200 feet internal diameter at the top and 20 feet deep. Its inner slope is 3 to 1 and its bottom level. It is made partly in cutting and partly in embankment, the top of the embankment being 10 feet wide, and the outer slope being 2 to 1. The interior of the reservoir is coated with 2 feet of clay puddle, upon which 9 inches of rough pitching is placed, and the top

and outer slope of the bank is covered with 6 inches of vegetable soil. The natural surface of the ground is 10 feet below the top of the embankment at the centre of the reservoir, and has a transverse slope of 1 in 200.

Make a radial section of this reservoir to a scale of 10 feet to 1 inch, and compute quantities of cutting, bank, puddle, pitching, and soiling.

MECHANICAL DRAWING AND DESCRIPTIVE GEOMETRY.

The Board of Examiners.

1. Describe carefully the construction and method of testing and using the drawing board, T square, and set square for mechanical and architectural drawing.

2. Make to a scale of 1 inches to 1 foot a side elevation, end elevation, and diagonal section of the table at which you are seated.

3. What is meant by isometric and cavalier projection? Illustrate your answer by examples of each kind, and state what you consider to be the special advantages of each system.

4. Carefully delineate a hypocycloid, the rolling circle being 2 and the fixed circle 4 inches diameter.

5. Make a perspective drawing of a lattice girder similar to those used at the St. George's Road Bridge. The length of the girder to be at right

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.