3. A uniform beam 20 feet long is supported at both ends and at the centre, and is loaded with 1 ton per foot from one end to the centre, and ton per foot from the centre to the other end. Draw to scale the diagram of bending moments and shearing stresses.

4. A bicycle wheel has 36 spokes which are screwed up with an initial tension of 100 lbs. each. Determine the stresses throughout the wheel under a load applied at the centre of 150 lbs., the rim being regarded as perfectly flexible.

5. Make an outline drawing of a roof truss of form similar to that at the New Australian Electric Company's Station at Richmond, and determine stresses throughout, assuming all necessary data.

6. Briefly indicate the method of designing the upper and lower lateral systems and portal bracing of a bridge of American type, such as that over the Hawkesbury River, New South Wales.

APPLIED MECHANICS.

SECOND PAPER.

The Board of Examiners.

1. Write an essay on the strength of long columns, giving a history of the subject, and indicating the nature of the most modern practice.

2. A Cornish steam boiler is 6ft. 3in. diameter and 24 feet long, and has a furnace tube 3ft. 6in. diameter. Determine the thickness of ends, shell, and furnace tube, the proportions and arrangement of riveted joints, the position of stays and other special strengthening appliances, the material being mild steel and the working presure 100 lbs. per square inch.

3. The shore girders of the new Cremorne Bridge are 36 feet long and 6 feet deep, and have two systems of triangulation, the loads being applied at the lower panel points. Determine the central deflection with a stress of 6 tons per square inch throughout, the modulus of elasticity being 30,000,000.

4. State Wöhler's Law, and write down formula proposed by Weyrauch and Launhardt, and apply them to determine the safe working stress per square inch of—

(a) A tension rod under steady load of 20 tons. (b) The same rod with a steady load of 10 and an occasional load of 20 tons.

(c) A bar subjected to a load varying from 10 tons compression to an equal tension.

(d) The same subjected to a compression of 5 and a tension of 10 tons alternately.

5. Make a detailed drawing with descriptive notes of the autographic stress strain diagram of the University testing machine, and explain how the effect of the slip of the clips and the elasticity of the machine itself is eliminated when testing in tension.

CIVIL ENGINEERING.-PART I.
FIRST PAPER.

The Board of Examiners.

1. Make a detailed drawing of the timbering of a tunnel for a double line of railway, giving dimensions and particulars of joints and ironwork, and describe mode of operation, the material being fissured rock.

2. Give detailed sketches with full description of a road bridge 75 feet span, as constructed by the New South Wales Government.

3. Make a detailed drawing of an engineer's shaping machine. Describe the action of each part, and state how you would use the machine so as to perform its work accurately and rapidly.

4. How would you proceed to open a bluestone quarry? What facilities would you endeavour to obtain, and how would you work it to the best advantage?

CIVIL ENGINEERING.—Part I.

SECOND PAPER.

The Board of Examiners.

1. Supply working drawings and specification of material and workmanship for a timber truss railway bridge of 50 feet span, for a 5′ 3′′ gauge

railway. The rails are to be as nearly as possible level with the bottom of the truss, and the greatest load may be assumed as a 60-ton locomotive occupying the whole bridge.

DRAWING AND QUANTITY SURVEYING. The Board of Examiners.

1. A circular reservoir is 100 feet internal diameter at the top. It is formed of a concrete wall 10 feet high, 1 foot 6 inches thick at top, and 3 feet thick at bottom, the outer face being vertical. Outside this concrete wall is an earthen bank 10 feet wide at top, with a slope of 1 to 1. The bottom of the reservoir is slightly conical, being 2 feet lower at the centre than at the sides, and is covered with 9 inches of concrete. The bottom of the reservoir at the centre is 4 feet below the original surface of the ground, and that surface slopes uniformly 1 foot in 100.

Make to a scale of inch to 1 foot a half plan and diametrical section of this reservoir, compute its capacity when filled within 1 foot of the top, and also amount of excavation, filling, and concrete required.

GENERAL ANATOMY AND PHYSIOLOGY.

The Board of Examiners.

1. Explain the use of the Pendulum Myograph arranged to take the curve of a single induction shock thrown into a nerve muscle preparation, giving at the same time a diagram of the arrangement of a vibrating tuning-fork with a Despretz Signal.

2. Give instances of Reflex Action as exhibited by the Brain and Spinal Cord, together with the paths of the afferent and efferent impulses.

3. Through what channels is the Heart-Beat experimentally affected in the Frog and in the Dog.

4. Give a description of the use of Kühne's Artificial eye.

PHYSIOLOGICAL CHEMISTRY AND

HISTOLOGY.

The Board of Examiners.

1. What are the chemical reactions of glucose, and how may the quantity passed by a diabetic patient be ascertained?

2. Describe the modes of ascertaining the constituents of milk.