1066 THE COLLIERY GUARDIAN. Mat 15 1914. out again to something like its original thickness imme- diately it passes to the slack or “ idle ” side. This resilience, due in a measure to spiral activity, and more pronounced in the three-strand combination than any other make, may account for the ready recovery from fatigue, and for the consequent longevity of cotton ropes, which under favourable conditions will continue to do good service for over 20 years. But slight compression of the pliant material is sufficient to fill up the central gap of a three-strand rope, and when- that is exercised with equal force from each of the three centres by the final twisting operation, a trinity of wedges is the result, acting in unison as the ropes extend and contract in taking the circuit of the pulleys. When the yarns are all equal in counts, twist, and tension, each one following its appointed track without deviation, and when they are built up in concentric layers of varying length as the desired thickness is attained, the product is the patent inter-stranded cotton driving rope. In order to corroborate German evidences on the question of higher duties, we must leave the textile industry with its refined processes, and seek less favour- able conditions, where more rigorous treatment accelerates investigation by shortening the period of endurance. Mr. J. Ingham, of Bolton, who has had velocity of 3,516 ft. These are attached to electric motors of 750 brake horse-power, allowing for a normal load of 1,000 brake horse-power, 26 ropes, 2 in. diameter, were at first employed to provide against a maximum of 1,500 brake horse-power. They have since been reduced to 20, which are calculated at about the normal power for each drive, leaving the remainder to be carried through by the momentum of heavy flywheels, much to the benefit of the drive. The rope friction is declared not to exceed 21 per cent. How discounting the power of ropes may lead to mis- apprehension when estimating comparative values, was strikingly manifested by calculations made after a personal inspection of several mill installations in York- shire, where steel belts have substituted leather or ropes. In one case a 10 in. leather belt was replaced by 3| in. steel. This, however, gave a considerable amount of trouble and had been twice renewed during a run of about 15 months, a third being in use at the time of the visit. The cork sheathing on the pulleys had also been generally about 16 in., say 18 times the rope. Two 1 in. ropes running on a 20 in. motor pulley were recently removed after 10 years’ good service, not because they were worn out, but because of altered condition; while ropes are regularly run on steam turbine pulleys of 22 diameters. These and other obtainable data lead to the conclu- sion that driving force does not decrease pro rata with diminishing sizes. In the absence of better adjustment we therefore take refuge in the safe, if empirical, sug- gestion of fixing upon 1-' in. diameter as the theoretical dividing line, at and beyond which the old standard of 30 diameters may be observed, and below which a gradual lessening may. take place, down to, say 18 dia- meters for | in. rope, leaving the absolute minimum yet to be decided, always on the understanding that larger pulleys mean greater advantages, particularly beyond a velocity of 5,000 ft. Still another much debated item on the purely i < ■ Fig. 3.—Colliery Fan driven by Rope from Electric Motor. Fig. 4.—Leading Types of Rope Pulley Grooves. I <0 < A T Fig. 5.-—Method of Setting Out a 40 degs. Groove. - - U - - Fig. 6.—Method of Setting Out a 30 degs. Groove. considerable experience in rolling mill driving, has com- piled a list of friction losses from indicators taken upon an electro-rope driven sheet mill. The rope design load is set down as 500-horse power, with friction at 3| per cent. When a peak of 900-horse power is reached the friction is brought down to 2 per cent., but runs up to as much as 11'3 per cent, at 150-horse power, or 25 per cent, of the normal load. The entire plant is driven by cotton ropes from two pulleys, each 32 ft. diameter, making 35 revolutions per minute, or a peripheral stripped. These mishaps were attributed to a very slight but not permissible fault in lining up the shafts. When investigating a more recent and much adver- tised case—where a saving of 60-horse power in about 340, or just over 17 per cent., is said to have been realised over ropes by the introduction of steel belts—it transpired that the entire section of the mill thus con- trolled had been remodelled. The unfortunate habit of attributing to the transmitting medium itself all the benefits derivable from the introduction of new methods, makes that mysterious bourn, known as the unbiassed opinion, all the more difficult to reach. Although governed by wheel diameters in both cases, speed ratio difficulties are usually met by adding more rope to make up for contact losses. But ropes are at a disadvantage when used in quantities on small pulleys less than, say, 9 in. or 10 in. diameter. Short centres are no impediment to successful rope driving. Many instances might be quoted where even less clearance is allowed. When the speeds of both shafts are alike, the greatest possible pulley contact is available. Ropes are now applied to a rolling mill drive on which spur gear, belts, and chains had been successively tried but failed -to accomplish the task. The rope pulleys are each 4 ft. 3 in. diameter, and the centres being.6 ft. apart, only allow a rim clearance of 1 ft. 9 in. Long centres with ropes are, however, very much a matter of pulley diameters and direction of rotation, particularly on horizontal drives. The ultimate sag seldom exceeds 74 per cent, of the distance between centres, but 10 per cent, is generally considered ample for estimating the depth of a race or for clearing obstructions. Thus, presuming upon the use of pulleys each 10 ft. diameter, the centres might be extended 100 ft. before the trailing and working spans touched each other, i.e., with slack uppermost. Reversing the direction of rotation obviously permits longer ranges, reaching in several instances from 150 to 200 ft. This direction is recommended when erratic loads or irregular impulses set up oscillations in the ropes. Cross driving with ropes is undoubtedly the best method of conveying power from and to shafts revolving in opposite directions. Although some curtailment of life may be expected from unavoidable friction, many ropes so placed have lasted from seven to 10 years. Much, however, depends upon the method of attach- ment. If more than two ropes are employed then suffi- cient empty groove space must be allowed between each pair so that they may pass without touching. A disconcerting problem in connection with rope driving is that of fixing upon a basis of agreement, as to the proportionate size of pulleys in relation to ropes. Flexibility must naturally be the determining factor in the proposition, although an all-round minimum of 30 diameters has hitherto ruled the reckoning. But the experience has led to a gradual slackening of the some- what arbitrary rule. The size of ropes employed on ring frames has been extended from fin. to 13-16 in., and ultimately to Jin., the latter being now the most popular diameter, because of its greater tenacity and lasting properties; while driven pulley diameters are mechanical side of rope transmission awaits careful consideration, i.e., the construction of rope pulley grooves. Fig. 4 presents a group of four leading types. The curved sided form A, though not so much in evi- dence as the rest, is still insisted upon in some quarters from a desire to afford easy withdrawal by conforming in some measure to the contour of the rope. This cur- vature militates so much against efficiency that it is generally necessary to increase the diameter until the groove is completely packed with material, in order to ensure the required transmission. Flanged grooves like B are the most commonly used, because of this narrow pitch, and because of the belief that they give direction to the ropes. This supposition does not appear to hold good, for when ropes are inclined to oscillate they rebound from side to side as shown in dotted circle, much to their detriment. Then again, the flanges offer a barrier to any extension upon the designed size. The weakness of these flanges is mani- fested by the breakages which too frequently occur during transit. For all-round good service there is nothing to beat the flangeless groove, with the driving angle carried through to the terminals, as in C. An angle of 45 degs., however, whilst permitting an exten- sion of J in. in rope diameter, produces a wider pitch than most engineers care to adopt. No other groove appears to conform so well to general conditions as the D type, although more acute impact and delivery are accomplished without the slightest additional friction, while the estimated power may be increased by one- third. This type also retards any tendency to revolve, which wide angles and curved sides appear to encourage unless well filled and not too lightly loaded. These use- less gyrations are not always constant, for the ropes may fix themselves for a period, then roll over until their section assumes an irregular polygon, instead of the more serviceable wedge. In order that the simplified method of setting out a 40 degs. groove may be better’ understood, an enlarged diagram is submitted in fig. 5. A circle representing the required rope diameter is drawn, through which the vertical and horizontal centre lines are projected. The chord of the arc A B then becomes the standard of further measurement, decides the centre for the rounded base and doubled, points the inverted apex of the angle, carried .through the points B B and the upper horizontal lines, where the pitch is indicated. Another line projected from half A B or its opposite decides the length of the terminals. It has been urged that every size of rope has its best driving angle. Whether this be so or not, there is no appreciable advantage in pro- viding a multitude of templates to cover the whole range. Therefore, as the 40 degs. groove gives such excellent results it may well stand for all sizes above 1 in. diameter, while 30 degs. may be just as usefully engaged upon this and the smaller sizes in general use. Thirty deg. grooves (see fig. 6) are set out pretty much on the same lines, only that B C represents half the measurement for the apex, while A B still holds good for the circular base. It will be observed in both cases that the groove sides