式中x为主偏角(即切削刃与工作平面形成的夹角)。
因此，可以由下式求出切削面积
A=fa
附录2：
Lathes And It’s Cutting Process
Lathes are machine tools designed primarily to do turning,
facing,and boring. Very little turning is done on other types of machine tools,and none can do it with equal facility. Because lathes also can do drilling and reaming, their versatility permits several operations to be done with a single setup of the workpiece. Consequently, more lathes of various types are used in manufacturing than any other machine tool. The essential components of a lathe are the bed, headstock assembly, tailstock assembly, carriage assembly, and the leadscrew and feed rod.
The bed is the backbone of a lathe. It usually is made of well- normalized or aged gray or nodular cast iron and provides a heavy, rigid frame on which all the other basic components are mounted. Two sets of parallel, longitudinal ways, inner and outer, are contained on the bed, usually on the upper side. Some makers use an inverted V-shape for all four ways, whereas others utilize one inverted V and one fiat way in one or both sets. They are precision-machined to assure accuracy of alignment. On most modem lathes the ways are surface-hardened to resist wear and abrasion, but precaution should be taken in operating a lathe to assure that the ways are not damaged. Any inaccuracy in them usually means that the accuracy of the entire lathe is destroyed.
The headstock is mounted in a fixed position on the inner ways,usually at the left end of the bed. It provides a powered means of rotating the work at various speeds. Essentially, it consists of a hollow spindle, mounted in accurate bearings, and a set of transmission gears--similar to a truck transmission--through which the spindle can be rotated at a number of speeds. Most lathes provide from 8 to 18 speeds, usually in a geometric ratio, and on modem lathes all the speeds can be obtained merely by moving from two to four levers. An
increasing trend is to provide a continuously variable speed range through electrical or mechanical drives.
Because the accuracy of a lathe is greatly dependent on the spindle, it is of heavy construction and mounted in heavy beatings, usually preloaded tapered roller or ball types. The spindle has a hole extending through its length, through which long bar stock can be fed. The size d this hole is an important dimension of a lathe because it detemtines the maximum size of bar stock that can be machined when the material must be fed through spindle.
The tailstock assembly consists, essentially, of three parts. A lower casting fits on the inner ways of the bed and can slide longitudinally thereon, with a means for clamping the entire assembly in any desired location. An upper casting fits on the lower one and can be movedtransversely upon it, on some type of keyed ways, to permit aligning the tailstock and headstock spindles. The third major component of the assembly is the tailstock quill. This is a hollow steel cylinder, usually about 51 to 76 mm (2 to 3 inches) in diameter, that can be moved several inches longitudinally in and out of the upper casting by means of a handwheel and screw.
The size of a lathe is designated by two dimensions. The first is known as the swing. This is the maximum diameter of work that can be rotated on a lathe. It is approximately twice the distance between the line connecting the lathe centers and the nearest point on the ways. The second size dimension is the maximum distance between centers. The swing thus indicates the maximum workpiece diameter that can be turned in the lathe, while the distance between centers indicates the maximum length of workpieee that can be mounted between centers.
Engine lathes are the type most frequently used in manufacturing. llley are heavy-duty machine tools with all the components described previously and have power drive for all tool movements except on the compound rest. They commonly range in size from 305 to 610 mtn ( 12 to 24 inches) swing and from 610 to 1 219 mm (24 to 48 inches) center
distances, but swings up to 1 270 mm (50 inches) and center distances up to 3 658 mm ( 12 feet) are not tmcommon. Most have chip pans and a built-in coolant circulating system. Smaller engine lathes--with swings usually not over 330 mm ( 13 inches)--also are available in bench type,designed for the bed to be mounted on a bench or cabinet.
Although engine lathes are versatile and very useful, because of the time required for changing and setting tools and for making measurements on the workpiece, they ale not suitable for quantity production. Often the actual chip-production time is less than 30% of the total cycle time. In addition, a skilled machinist is required for all the operations, and such persons are costly and often in short supply. However, much of the operator's time is consumed by simple, repetitious adjustments and in watching chips being made. Consequently, to reduce or eliminate the amount of skilled labor that is required, turret lathes, screw machines, and other types of semiautomatic and automatic lathes have been highly developed and are widely used in manufacturing.
The engine lathe, one of the oldest metal removal machines, has a number of useful and highly desirable attributes. Today these lathes are used primarily in small shops where smaller quantities rather than large production runs are encountered.
The engine lathe has been replaced in today's production shops by a wide variety of automatic lathes such as automatic tracer lathes, turret lathes, and automatic screw machines. All the advantages of single-point tooling for maximum metal removal, and the use of form tools for finish and accuracy, are now at the designer's fingertips with production speeds on a par with the fastest processing equipment on the scene today.
Tolerances for the engine lathe depend primarily on the skill of the operator. The design engineer must be careful in using tolerances of an experimental part that has been produced on the engine lathe by a skilled operator. In redesigning an experimental part for production,
economical tolerances should be used.
Production machining equipment must be evaluated now, more than ever before, in terms of ability to repeat accurately andrapidly. Applying this criterion for establishing the production qualification of a specific method, the turret lathe merits a high rating.
In designing for low quantities such as 100 or 200 parts, it is most economical to use the turret lathe. In achieving the optimum tolerances possible on the turret lathe, the designer should strive for a minimum of operations.
Generally, automatic screw machines fall into several categories; single-spindle automatics, multiple-spindle automatics and automatic chucking machines.Originally designed for rapid, automatic production of screws and similar threaded pans, the automatic screw machine has long since exceeded the confines of this narrow field, and today plays a vital role in the mass production of a variety of precision parts. Quantities play an important pm't in the economy of the parts machined on the automatic screw machine.Quantities less than 1 000 parts may be more economical to set up on the turret lathe than on the automatic screw machine. The cost of the pans machined can be reduced if the minimum economical lot size is calculated and the proper machine is selected for these quantities.
Since surface roughness depends greatly upon material tumed, tooling, and feeds and speeds employed,minimum tolerances that can be held on automatic tracer lathes are not necessarily the most economical tolerances.
In some cases, tolerances of ±0.05mm are held in continuous production using but one cut. Groove width can be held to ± 0.125mm on some parts. Bores and single-point finishes can be held to ±0.0125mm. On high-production runs where maximum output is desirable, a minimmn tolerance of ± 0. 125mm is economical on both diameter and length of turn.
Metal-cutting processes are extensively used in the manufacturing