DRAWING, DESCRIPTIVE GEOMETRY, AND QUANTITY SURVEYING.

The Board of Examiners.

1. Define the following curves:-Cycloid, Epicycloid, Hypocycloid, and Trochoid. Give a method of drawing a cycloid.

2. Give a method of drawing an approximation to an ellipse, with arcs of circles where the eccentricity 2

is small.

3. Define the following projections, and mention their principal peculiarities :

(a) Mercator's.

(b) The Simple Conic.

(c) The Orthographic.

4. Write an essay on perspective, and define the following terms:-Picture Plane, Horizon Line, Station Point, Vanishing Point.

5. Prepare an outline schedule of quantities for a timber truss bridge, with pile abutments and piers.

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APPLIED MECHANICS.

FIRST PAPer.

The Board of Examiners.

Not more than FIVE questions to be attempted.

1. Make a neat sketch of the lever system of an ordinary platform weighing machine, indicate the various possibilities of error in it, and state how you would proceed to verify its accuracy.

2. What is a stress-strain diagram, and how is it obtained? Illustrate your answer by stressstrain diagrams of cast iron and mild steel drawn to a given scale.

3. Explain carefully how you would investigate the security under wind pressure of a tall chimney, such as those used at the Melbourne Tramway Engine Houses.

4. Draw to a given scale bending moment and shear diagrams of the subjoined beams :

(a) 15 feet span, supported at ends, and loaded with 1 ton per foot run.

(b) 20 feet long, supported at points 3 feet from each end, and loaded with 1 ton per foot run.

5. Define the term Modulus of Section, investigate its value for a rectangular beam, and explain how you would determine it in the case of a rail such as used on ordinary railways.

6. A beam of ironbark 30 feet span and 1 foot square broke with a central load of 20 tons. Compute its modulus of rupture, and determine the breaking load of a cantilever of the same material 10 feet long, 6 inches deep, and 3 inches wide.

7. A bar of cast iron 1 inch square breaks with a direct pull of 18,000 lbs. Tested as a beam on a span of 3 feet it carries 700 lbs. Comment upon these facts.

APPLIED MECHANICS.

SECOND PAPER.

The Board of Examiners.

Not more than FIVE questions to be attempted.

1. Make an outline drawing of a girder similar to that at Walmer-street, Kew, and determine the stresses upon it with a load extending over the whole span, and also with a load extending from one end to the centre.

2. Make an outline drawing a simple king-post roof truss such as those in the University Library, and determine the stresses under the weight of the roof covering, and also under wind pressure, making all necessary assumptions.

3. Write a short Essay on eye bar and pin joints.

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4. Sketch as many forms of compression diagonal for large lattice girders as you can, and discuss their relative efficiency.

5. Write a short Essay on the resistance of tubes to external pressure.

6. Sketch as many forms of stiffened suspension bridge as you can, and discuss the distribution of stress under uniformly, and also under irregularly distributed loads.

7. What geometrical curves would you employ, and how would you proceed to lay them out in the case of the following arches?

(a) Load equally distributed along the arch itself. (b) Load equally distributed horizontally.

(c) Loaded with a solid mass of material bounded by a horizontal surface passing at a short distance above the crown of the arch.

CIVIL ENGINEERING.-PART I.
FIRST PAPER.

The Board of Examiners.

1. Describe fully, with sketches, a modern bucket dredge, and discuss the relative advantages and disadvantages of the hopper dredge and separate barge systems.

2. Write an Essay on Shield Tunnelling, with and without the use of compressed air.

3. Supply a brief specification for a reservoir embankment on a site where a considerable depth of alluvium overlies sound rock.

4. What are the points to be attended to in making and using wrought-iron bolts in timber structures ?

5. Describe fully, with sketches, the method of casting and testing iron water-pipes.

6. Make a neat sketch of an engineer's lathe. State what work it is used for, and how it is arranged in order to cut a screw of given pitch.

7. Write an Essay on pile foundations for bridges.

CIVIL ENGINEERING.-PART I.

SECOND PAPER.

The Board of Examiners.

(a) Design and briefly specify material and workmanship for gates and gate posts for a level crossing on a double line of railway;

or,

(b) for a steel girder footbridge, 30 feet span and 5 feet wide, to carry a load of 130 lbs. per square foot.