Now, it is certain you can have no wheels containing half notches, nor of such small numbers of cogs, therefore multiply by any convenient numbers—ten, for instance, which give

20..10 / 25..20

This is all that is needed. Put a wheel of twenty cogs on the mandrel, and let it work into one of twenty-five on the stud, the latter carrying a pinion of ten cogs, driving one of twenty cogs on the screw. To prove this, as before, the screw must make two revolutions to carry the tool one inch, and during that time the mandrel (carrying screws to be cut) must make five revolutions. Let the screw wheel revolve twice, the pinion of ten teeth will revolve four times (twice 20 = 40 and four times 10 = 40); but as the stud wheel and pinion are as one, and revolve together, the stud wheel must also revolve four times (4 × 25 = 100). Thus the mandrel wheel will revolve five times as required (20 × 5 = 100). No other method is so easy to understand and work as the above. To give full details and provide working drawings of the various screw cutting lathes by different makers would be to extend the present series to an unnecessary limit, but we shall nevertheless describe another method by which these lathes with traversing rests are made self-acting when screw cutting is not required. Instead of a leading screw extending from one end of the lathe to the other, there extends a bar of steel about the diameter of the screw with a key groove or slot from end to end. This bar is supported in bearings at each end, and carries upon its surface a ferrule of steel with a screw cut upon its outside similar to [Fig. 174], where A is the bar and B the ferrule. The pitch of screw is coarse, being similar in its object to the guide screw previously described. A pin fixed into this ferrule falling into the slot permits it to travel along the bar but causes both to revolve together when the bar is put in motion by means of a cog wheel or strap pulley at one end. Along the same side of the lathe bed, and level with the surface, is a rack, C, upon the face of which works a pinion, D, carrying on the same axis a cog or rather worm wheel, E, to gear with the screw ferrule. The bearings of this axis are secured to the saddle of the slide rest. Consequently, when the bar revolves, the screw is also put in motion, the wheel, A, [Fig. 175], and pinion, B, partake of the movement, and the latter traverses the face of the rack, carrying the saddle with its rest and tool holder along the bed of the lathe. By this movement the screw ferrule traverses the bar as it revolves, thereby virtually becoming a long leading screw. In [Fig. 176], which is a view from above, looking down upon the lathe bed, A is the rack, B, B, the saddle cut away to show the rack and pinion C; E is the worm wheel, D the long bar, the screw ferrule, being under the worm wheel, is not visible. As above arranged it is evident that the ferrule might escape from the worm wheel instead of proceeding on its proper course. This is prevented by its lying in the hollow of a bracket attached to the rest, as [Fig. 177], A and B. This retains it in contact with the worm wheel, and also becomes a support to the long bar. [Fig. 174] shows the side of the lathe that is furthest from the operator. The axle of the worm wheel and pinion carries a handle on the near side to give the workman power to use the rack by hand as a quick return movement. The above is frequently attached to those lathes provided with a long screw, the latter being on the near side and the bar on the other. Thus, the same lathe can be used for ordinary or screwed work. Whitworth, however, commonly uses the long screw placed between the beds or bearers of the lathe for screwing and surfacing, instead of adding the apparatus just described. A long screw being, however, an expensive affair, ought to be carefully cherished, and when the work is such as the bar will suffice to accomplish, it may be well made use of to preserve the screw. There is an arrangement for forward or cross-feed in the above apparatus, the principle of which is the connection of the cross screw of the rest by means of a pinion, either with the worm wheel or with a cogwheel on the same axle. When this is put into gear the rack and pinion are disconnected. It is also necessary to provide a method of reversing the motion of the long screw bar, especially when the cross feed is used in surfacing. There are several modes of accomplishing this, the best being the following, [Fig. 178], which is a simple expedient applicable to lathes or other machines. A is the end of the screw rod, with bevel wheel attached, B, C, are similar wheels on the axle, D, the latter being movable endwise in its bearings by means of the lever handle; E, D, is the driving axle. By moving the lever to the right B is geared to A. A movement to the left brings C into connection. Between the two, both wheels are thrown out of gear, and though they may continue to revolve, the screw bar will remain still. By this contrivance the motion of the leading screw is reversed or stopped in a second, with the advantage of its being unnecessary at the same time to stop the working of the lathe altogether. It has probably struck the reader that as the size of the change wheels are various, there would be in some cases an impossibility of their touching so as to gear together. This is partly remedied by the interposition of dummies, or idle wheels, and partly by the following arrangement. The stud wheel, or dummies, as the case may be, are not upon axles fixed to the lathe-head or end standard, but upon such an arm as [Fig. 179], which turns upon a pin at A, and carries in the slot the pins upon which the different wheels centre. These pins being made similar to B, C, can be placed at any position in this slot, and are fixed by a nut underneath. This arrangement gives considerable power of adjustment, and enables the workman to place together wheels of various sizes according to his need. It would not be by any means difficult to arrange the above lathe for screw-cutting, especially if the pitch of the required screw is not of great importance. An amateur's lathe might be thus fitted to serve a good many purposes, although a leading screw is to be preferred as the more complete and perfect arrangement. It cannot, however, be denied that there is great friction produced by the worm wheel and endless screw, which soon tells its own tale by the wear and tear produced, and the power is not so economically used as it is when the screw works in a nut. Expediency, however, in this, as in many similar cases, must decide for or against the arrangement in any particular case. It is, at any rate, a good addition to a lathe provided with an ordinary leading screw, more especially in the facility with which it can be arranged as a self-acting cross-feed to the rest when used for surfacing.

Fig. 172.


Fig. 173.