and mean roughness index R a of the micro-irregularities. Following are the definitions of the terms indicated in Fig. 16.1:

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It is not possible to achieve in practice, a geometrically ideal surface of a component and hence, production drawings of components must also contain information about the permissible surface conditions. Machine components which have undergone machining operation, when inspected under magnification, will have some minute irregularities. The actual surface condition will depend upon the finishing process adopted. The properties and performance of machine components are affected by the degree of roughness of the various surfaces. The higher the smoothness of the surface, the better is the fatigue strength and corrosion resistance. Friction between mating parts is also reduced due to better surface finish. The geometrical characteristics of a surface include, 1. Macro-deviations, 2. Surface waviness, and 3. Micro-irregularities. The surface roughness is evaluated by the height, R t and mean roughness index R a of the micro-irregularities. Following are the definitions of the terms indicated in Fig. 16.1:

It is the profile of the actual surface obtained by finishing operation. It is the profile to which the irregularities of the surface are referred to. It passes through the highest point of the actual profile. It is the profile, parallel to the reference profile. It passes through the lowest point B of the actual profile. It is that profile, within the sampling length chosen (L), such that the sum of the materialfilled areas enclosed above it by the actual profile is equal to the sum of the material-void areas enclosed below it by the profile. It is the distance from the datum profile to the reference profile. It is the arithmetic mean of the absolute values of the heights h i between the actual and mean profiles. It is given by, x L R a = 1/L x h 0 i dx, where L is the sampling length The surface roughness number represents the average departure of the surface from perfection over a prescribed sampling length, usually selected as 0.8 mm and is expressed in microns. The measurements are usually made along a line, running at right angle to the general direction of tool marks on the surface. Surface roughness values are usually expressed as the R a value in microns, which are determined from (Fig. 16.1), R a = h 1 h 2 h 3... h n n The surface roughness may be measured, using any one of the following : 1. Straight edge 2. Surface guage 3. Optical flat 4. Tool makers microscope 5. Profilometer 6. Profilograph 7. Talysurf Table 16.1 shows the surface roughness expected from various manufacturing processes.

Table 16.1 Surface roughness expected from various manufacturing processes

This article deals with the symbols and other additional indications of surface texture, to be indicated on production drawings. The basic symbol consists of two legs of unequal length, inclined at approximately 60 to the line, representing the surface considered (Fig. 16.2a). This symbol may be used where it is necessary to indicate that the surface is machined, without indicating the grade of roughness or the process to be used. If the removal of material is not permitted, a circle is added to the basic symbol, as shown in Fig. 16.2b. This symbol may also be used in a drawing, relating to a production process, to indicate that a surface is to be left in the state, resulting from a preceding manufacturing process, whether this state was achieved by removal of material or otherwise. If the removal of material by machining is required, a bar is added to the basic symbol, as shown in Fig. 16.2c. When special surface characteristics have to be indicated, a line is added to the longer arm of the basic symbol, as shown in Fig. 16.2d. The value or values, defining the principal criterion of roughness, are added to the symbol as shown in Fig. 16.3. A surface texture specified, as in Fig. 16.3a, may be obtained by any production method. as in Fig. 16.3b, must be obtained by removal of material by machining. as in Fig. 16.3c, must be obtained without removal of material. When only one value is specified to indicate surface roughness, it represents the maximum permissible value. If it is necessary to impose maximum and minimum limits of surface roughness, both the values should be shown, with the maximum limit, a 1, above the minimum limit, a 2 (Fig. 16.4a).

The principal criterion of surface roughness, R a may be indicated by the corresponding roughness grade number, as shown in Table 16.2. Table 16.2 Equivalent surface roughness symbols Roughness values Roughness Roughness R a m grade number grade symbol 50 N12 25 N11 12.5 N10 6.3 N9 3.2 N8 1.6 N7 0.8 N6 0.4 N5 0.2 N4 0.1 N3 0.05 N2 0.025 N1 In certain circumstances, for functional reasons, it may be necessary to specify additional special requirements, concerning surface roughness. If it is required that the final surface texture be produced by one particular production method, this method should be indicated on an extension of the longer arm of the symbol as shown in Fig. 16.4b. Also, any indications relating to treatment of coating may be given on the extension of the longer arm of the symbol. Unless otherwise stated, the numerical value of the roughness, applies to the surface roughness after treatment or coating. If it is necessary to define surface texture, both before and after treatment, this should be explained by a suitable note or as shown in Fig. 16.4c.

If it is necessary to indicate the sampling length, it should be selected from the series given in ISO/R 468 and be stated adjacent to the symbol, as shown in Fig. 16.4d. If it is necessary to control the direction of lay, it is specified by a symbol added to the surface roughness symbol, as shown in Fig. 16.4e. NOTE The direction of lay is the direction of the predominant surface pattern, ordinarily determined by the production method employed. Table 16.3 shows the symbols which specify the common directions of lay. Table 16.3 Symbols specifying the directions of lay Symbol Interpretation Parallel to the plane of projection of the view in which the symbol is used Perpendicular to the plane of projection of the view in which the symbol is used Crossed in two slant directions relative to the plane of projection of the view in which the symbol is used Multi-directional Approximately circular, relative to the centre of the surface to which the symbol is applied Approximately radial, relative to the centre of the surface to which the symbol is applied

When it is necessary to specify the value of the machining allowance, this should be indicated on the left of the symbol, as shown in Fig. 16.5a. This value is expressed normally in millimetres. Figure 16.5b shows the various specifications of surface roughness, placed relative to the symbol. The symbol and the inscriptions should be so oriented, that they may be read from the bottom or the right hand side of the drawing (Fig. 16.6a). If it is not practicable to adopt this general rule, the symbol may be drawn in any position (Fig. 16.6b), provided that it does not carry any indications of special surface texture characteristics. The symbol may be connected to the surface by a leader line, terminating in an arrow. The symbol or the arrow should point from outside the material of the piece, either to the line representing the surface, or to an extension of it (Fig. 16.6a) In accordance with the general principles of dimensioning, the symbol is only used once for a given surface and, if possible, on the view which carries the dimension, defining the size or position of the surface (Fig. 16.7). If the same surface roughness is required on all the surfaces of a part, it is specified, either by a note near a view of the part (Fig. 16.8), near the title block, or in the space devoted to general notes, or following the part number on the drawing. If the same surface roughness is required on the majority of the surfaces of a part, it is specified with the addition of, the notation, except where otherwise stated (Fig. 16.9 a), or a basic symbol (in brackets) without any other indication (Fig. 16.9b), or the symbol or symbols (in brackets) of the special surface roughness or roughnesses (Fig. 16.9c).

To avoid the necessity of repeating a complicated specification a number of times, or where space is limited, a simplified specification may be used on the surface, provided that its meaning is explained near the drawing of the part, near the title block or in the space devoted to general notes (Fig. 16.10).

THEORY QUESTIONS 16.1 What is the importance of surface roughness? 16.2 Mention the geometrical characteristics of a surface. 16.3 Define the following terms : (a) reference profile, (b) datum profile, (c) mean roughness index (d) surface roughness number. 16.4 What are the various means that are used to determine the surface roughness value? 16.5 How surface roughness values are indicated on a drawing? 16.6 Indicate how various surface roughness specifications are placed relative to the symbol. 16.7 Indicate roughness grade symbols for the following roughness grade numbers : (a) N 12 (b) N 10 (c) N 8 (d) N 6 (e) N 2 16.8 What is meant by direction of lay? How is it shown on a drawing? Sketch the symbols related to the common directions of lay. DRAWING EXERCISES 16.1 Indicate the roughness grade symbols used in shop floor practice, with their range of roughness values. 16.2 What are the roughness values that can be normally obtained by ( a) fine turning, (b) machine reaming, (c) milling, (d) precision grinding and ( e) chrome plating. 16.3 Show how the roughness is indicated on the component for the following situations. (a) surface to be obtained by any production method, (b) surface to be obtained without removal of material (c) surface to be coated, and (d) surface to be given a machining allowance. 16.4 With examples, show the method of indicating surface roughness on the following components : (a) symmetrical surfaces requiring the same quality, (b) cylindrical part, and (c) same surface quality all over. 16.5 Suggest suitable surface finish values and the process of obtaining them for the following components : (a) precision drill sleeve, (b) grade 1 milling machine column guide-ways, (c) splines on a shaft, (d) faces of a milling arbor spacer, and (e) precision lathe bed guide-ways.