Two-Dimensional Drawing

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1 22 Chapter Cxxxx /19/08 10:24 AM Page 1 7% 3% 3% 18% 20% 22 Chapter CXXXX Page 1 03/18/08 MD 22 Two-Dimensional Drawing objectives After completing this chapter, you should be able to Identify manual drafting tools used in drawing creation Apply the techniques of geometric construction in manual drafting Utilize basic CAD system commands and processes in creating a drawing Create a manually drafted or CAD-based orthographic projection drawing Develop a section and auxiliary view drawing using CAD Identify several common issues that occur in CAD drafting

2 22 Chapter Cxxxx /19/08 10:24 AM Page sectionfive Advanced Topics in Engineering Graphics introduction Two-dimensional (2-D) drawings have been the mainstay of graphical communication for mechanical, civil, and other engineering fields for centuries. Although the use of computer-based three-dimensional (solid modeling) is predominant in the United States and Western Europe, most of the world depends heavily on 2-D drawings for the transfer of engineering geometry information. Two-dimensional drawing, whether done by hand or with the assistance of a computer, will be around for a very long time. In some areas of the world, it is still the only way that engineering graphics are created and used. There is a tremendous amount of legacy data in 2-D format that must be edited using the same methods used to create the data. In some types of industries, 2-D drawing is still the only acceptable means of presenting engineering graphics. Two-dimensional drawings are still heavily utilized in some industries in the United States. The breakdown is in two areas: manually drawn 2-D drawings and 2-D drawings developed through computer-aided design (CAD). Almost all 2-D drawings that are created today to build or manufacture objects are done using CAD tools; however, many basic skill sets can be replicated in both manual drawings and CAD drawings. Manual 2-D Drawings This section provides a glimpse into the skills needed to create drawings manually. Three components are required to create high-quality drawings. First, tools are needed to create neat drawings and lettering. Second, dexterity and drawing technique play a part in consistently developing quality work. Finally, practice and experience are needed to create drawings in a timely and efficient manner Manual Drawing Tools The process of creating a 2-D drawing manually is sometimes called drafting. The following list and Figure contain some of the basic tools used in the creation of 2-D manual drawings. These tools are sometimes called drafting instruments because they are made with great precision and are used to create accurate graphics. Brush used to keep the drawing area clean by removing dry erase material, eraser shavings, and other debris. Compass used to create accurate circles and arcs and used in the layout of geometric shapes. To use a compass, open it to the desired radius using a scale as a guide. Carefully place the pointed (anchor) end of the compass through the paper into the drafting table. For good compass technique, tilt the compass to one side and allow the lead to follow the compass around the circle. The lead in the compass should be sharpened often to ensure clean, even arcs. To darken an arc, make multiple passes instead of pressing down on the compass. Dividers used to lay out and transfer distances. They can also be used to break longer object segments into equal distances. A scale can be used to help set divider measurements. Drafting Machine a tool clamped to a drafting table that holds two straightedges (used to draw and measure lines) usually at 90 degrees relative to each other. The straightedges can be rotated to any angle desired and moved about the table while the desired angle is maintained. Drafting Table a large, rectangular, flat table with a smooth surface and straight sides. The sides of the table are parallel and perpendicular to each other to aid in the drawing of horizontal and vertical lines with excellent precision. 22 Chapter CXXXX Page 2 03/18/08 MD

3 22 Chapter Cxxxx /19/08 10:24 AM Page 3 chapter 22 Two-Dimensional Drawing 22-3 FIGURE Manual drafting tools. 22 Chapter CXXXX Page 3 03/18/08 MD Drafting Vellum a high-quality paper that is abrasion-resistant and stable over long periods of time. It allows errantly drawn items to be erased with little ghosting. Dry Erase Bag holds an inert powder that is layered on a drawing to prevent smudges. The bag is occasionally kneaded and tapped on the drawing so tools will glide over the surface. Eraser used to remove errant lead marks. Drafting erasers are usually not the common pink rubber variety, but rather a soft white plastic type, which is less abrasive to drawing surfaces. Eraser Shield used to protect areas of a drawing while an eraser is being used. French Curve used to create smooth curves through a set of points by aligning the part of the curve that best fits the points. Leads thin rods of graphite bound in a clay base and sharpened for use in marking lines, text, and other art on a drawing. Drawing leads vary in darkness based on the grading, as shown in Figure The familiar #2 yellow pencil, which contains #2 grade graphite, draws a medium dark line. The higher the lead grade number, the harder the lead and the lighter the line produced. As the lead grade number decreases, the graphite composition gets softer, resulting in a darker line. Pencil lead grades and their equivalent drafting lead grades are shown in Figure FIGURE Various shades of lead marks used in drafting.

4 22 Chapter Cxxxx /19/08 10:24 AM Page sectionfive Advanced Topics in Engineering Graphics Pencil Grade Drafting Lead #1 B #2 #2-1/2 #3 HB F H #4 2H FIGURE Equivalent marking darkness of drafting leads and pencil grades. FIGURE Drafting leads and a lead holder. Lead Holders used to hold pieces of pencil lead, as shown in Figure 22.04, that are sharpened to provide the line width and darkness required for various features on the drawing. Like a pencil, lines are drawn by moving the arm away from the body. This technique provides the best consistency and prevents the hand from smudging lines that have already been drawn. The lead holder can be slowly twirled about its length axis while the line is created to maintain a uniform wear on the point of the lead. Today mechanical lead holders are being replaced by mechanical pencils that have a standardized lead diameter (e.g., 0.5 mm, 0.7 mm, and 0.9 mm) and a specific lead hardness. Lettering Guide a template-like tool that helps create guidelines (like lines on notebook paper) to make it easier to create consistently sized lettering. The linear set of holes on an Ames lettering guide, for example, is in increments of 1/16 of an inch. Protractor used to measure the angles between lines. Scales used to measure distances on drawings. Like rulers, scales provide graduated marks that are used to determine the length of objects, as shown in Figure Scales, which are most commonly triangular in cross section to create six different sets of graduation marks, provide the necessary means for appropriate scaling of the entities to ensure that the drawing will fit on a standard-sized sheet of paper. This tool is not used to draw lines since the edge of a scale may have nicks created by the graduation marks. Measurement marks on a drawing are usually made with small dots, and the entity is created with the proper drawing tool. For entity measurement, dividers can be set to the length of the entity for transfer to a scale. T square used (in the absence of a drafting machine) to draw horizontal lines. The cross of the T is placed against an edge of the drafting table to provide horizontal or vertical drawing edges across the table. Angled lines can be drawn by placing the appropriate triangle(s) against the edge of the T square. Templates used to create common shapes such as small circles, ellipses, polygons, arcs, arrowheads, and other geometric entities. A template used to make text and numbers is also called a lettering guide. Triangles used to create the lines on a drawing. These are used in conjunction with a straightedge drafting board or a T square. Fixed triangles typically have angles of degrees (commonly called a triangle) and degrees (commonly called a 45 triangle). Adjustable triangles are also available to create lines at less common angles. By combining a triangle and a 45 triangle, lines at other common angles can be drawn, as shown in Figure Adjustable triangles, which can be set to any acute angle, are also available. 22 Chapter CXXXX Page 4 03/18/08 MD FIGURE Close-up view of the graduation marks on an engineering scale.

5 22 Chapter Cxxxx /19/08 10:24 AM Page 5 chapter 22 Two-Dimensional Drawing deg. 165 deg. REFERENCE LINE REFERENCE LINE 105 deg. 22 Chapter CXXXX Page 5 03/18/08 MD REFERENCE LINE REFERENCE LINE Preparation for Manual Drawing 15 deg. FIGURE By placing the and the 45 triangles in various orientations, lines at different angles can be drawn. Manual drafting tools aid in the creation of basic geometric elements such as lines, arcs, and curves at almost any size and orientation. Your instructor is the best source for the details of how to use the tools properly to create a drawing. This section briefly discusses the basics of tool utilization and some best practices. The following steps should be used to prepare for the production of a manual drawing: 1. Clean your tools before and after using them. Wash and dry them to keep your tools, carrying case, and storage drawer free from graphite residue. 2. When placing vellum on your drafting table, align the edge of the vellum with the straight edges of the drafting machine or T square. Tape down the corners of the paper with drafting tape. When moving the T square or drafting machine, lift it slightly so you do not snag and tear the vellum. 3. Use the dry erase bag to put a layer of a rubberlike powder on the vellum surface. This powder bonds with loose graphite particles to help keep your tools clean and eliminate smudges on your drawing. A small clean towel is also handy for keeping your hands and tools clean. 4. Decide how much space on the vellum is to be occupied by the views of the object to be drawn, including sufficient space between the views for any dimensions that are to be included. 5. Select the best scale to use to produce the desired sizes of the views.

6 22 Chapter Cxxxx /19/08 10:24 AM Page sectionfive Advanced Topics in Engineering Graphics 6. Once the view placement has been determined, create the exterior shape of the object views using projection rules and proper dimension scaling. 7. Use triangles or a protractor to verify angles after they have been drawn. 8. Sharpen your drawing leads often as the accuracy of your drawing may depend on a sharp lead. 9. Place an additional piece of paper or vellum under your drawing hand to avoid smudges. Try not to touch the surface of the drawing with your hand or put fingerprints on the drawing surface. Oils from your skin may be absorbed by the vellum and leave a stain. 10. Use the eraser template when erasing. Lay the template on top of your drawing, exposing the area that needs to be erased through the proper-sized opening. Erase lightly through the opening to remove the errant line. 11. Use a circle template for small circles and arcs as this is faster and easier than using a compass (assuming the proper size circle is available). 12. Use a template when creating small polygons (e.g., for hex head bolts) and ellipses as this is the fastest way to draw these objects (assuming the proper size object is available). 13. Use special lettering templates, if necessary and if available, to assist in lettering. Lettering is only similar to printing. You can be a poor printer but still have good lettering. 14. When finished with your drawing, lightly rub the drawing with your dry erase bag to pick up any loose graphite. Then clean your drawing using a brush to remove all of the dry erase powder Making a Simple Manual Drawing Now that you have been introduced to the drawing preparation process and some of the basic geometry creation skills, this section walks you through a basic drawing of the flat gasket shown in Figure Here is the equipment needed: T square or drafting machine Triangle Scale Circle template Eraser Eraser template 22 Chapter CXXXX Page 6 03/18/08 MD FIGURE The goal is to re-create a drawing of this flat gasket R.50 TYP Ø 1.00

7 22 Chapter Cxxxx /19/08 10:24 AM Page 7 chapter 22 Two-Dimensional Drawing 22-7 You will begin with the basic steps of drawing straight horizontal and vertical lines on a sheet of paper to outline the object. Use a lead grade that is harder than #4 (or harder than 2H). If erasing is needed, use a light touch to prevent smearing. You will go back over the final drawing with a softer lead grade to create the final darker image. Whether you are using a T square or a drafting machine, the general process is the same. If you are using a T square, make sure you hold the cross of the T firmly against the edge of the drafting table. Large errors can occur when you try to use one hand to hold a T square loosely in an approximate position while drawing lines with the other hand. Align your T square or drafting machine and draw a horizontal line at least 4 inches long. Use the scale to make very light marks to indicate a length of 4 inches along the line. These steps are shown in Figure Chapter CXXXX Page 7 03/18/08 MD FIGURE Drawing and marking a horizontal line, which will be the bottom edge of the gasket. 4 inches

8 22 Chapter Cxxxx /19/08 10:24 AM Page sectionfive Advanced Topics in Engineering Graphics Set the triangle firmly against the straight edge of the T square or drafting machine. To create the right edge of the gasket, place the perpendicular edge of the triangle on the right end of the 4-inch line mark. Draw a light vertical line at least 2 inches long. Use the scale to mark a 2-inch distance above the 4-inch line, as shown in Figure Create the left edge of the gasket in a similar fashion, as shown in Figure Chapter CXXXX Page 8 03/18/08 MD 2 inches FIGURE Drawing and marking a vertical line, which will be the right edge of the gasket.

9 22 Chapter Cxxxx /19/08 10:24 AM Page 9 chapter 22 Two-Dimensional Drawing 22-9 Using the T square or drafting machine, lightly draw the top edge of the gasket by connecting the two vertical lines at their 2-inch marks using a horizontal line, as shown in Figure The circle template will be used to create the rounded edges. Select the template circle with the diameter of the arc needed, which is 1 inch (to provide a radius 22 Chapter CXXXX Page 9 03/18/08 MD 2 inches FIGURE Drawing and marking another vertical line, which will be the left edge of the gasket.

10 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics 22 Chapter CXXXX Page 10 03/18/08 MD FIGURE Drawing a horizontal line, which will be the top edge of the gasket, at the marks. of 0.5 inch at the corners of the gasket). Use the template to create a 0.5-inch radius arc that is tangent to horizontal and vertical lines at each corner of the gasket, as shown in Figure To locate the center hole of the gasket, use the scale to mark the center of the bottom horizontal line (i.e., 2 inches from the left mark on this line). Lightly draw a vertical line through the outline of the gasket at this 2-inch location. Then use the scale to mark the center of the right vertical line (i.e., 1 inch from the bottom horizontal line).

11 22 Chapter Cxxxx /19/08 10:25 AM Page 11 chapter 22 Two-Dimensional Drawing Use the 1-inch diameter size 22 Chapter CXXXX Page 11 03/18/08 MD FIGURE Using a circle template to add the rounded corners. Lightly draw a horizontal line through the outline of the gasket at this 1-inch location, as shown in Figure The center of the hole will be located at the intersection of the horizontal and vertical lines just drawn through the center of the gasket outline. The circle template will have centerlines on the edges of the 1-inch hole. Align these centerlines to the vertical and horizontal lines, locating the center of the circle, and draw the 1-inch circle as shown in Figure Using the marks on the on the 1" diameter circle template, again position the template so the marks line up on the lightly created lines; then draw the circle.

12 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics 2 inches 1 inch 22 Chapter CXXXX Page 12 03/18/08 MD FIGURE Locating and marking the center of the hole. Use the eraser and eraser template to remove the corners of the rectangle back to the radius locations, as shown in Figure A softer lead is then used to trace over the lightly created lines to complete the construction of the gasket. Finally, annotations are added. Annotations include the numbers, lines, and arrows used to show the sizes of various features on the part. The numbers, or dimensions, are added first, as shown in Figure Lettering should be between 1/8 inch and 1/4 inch in height. If your lettering is neat, the numbers can be drawn freehand. Otherwise, a lettering template should be used.

13 22 Chapter Cxxxx /19/08 10:25 AM Page 13 chapter 22 Two-Dimensional Drawing Chapter CXXXX Page 13 03/18/08 MD FIGURE Aligning the circle template and making the center hole. The extension lines and dimension lines are then added as shown in Figure with the assistance of the drafting machine or T square and triangle. Remember to leave a small space of about 1/16 inch between the extension lines and the features they define. This space helps distinguish between lines that are a part of the object and lines that are a part of the annotation. This small amount of space between the dimension lines and the extension lines allows neater arrowheads to be drawn, as shown in Figure Arrowheads can be drawn freehand if it can be done neatly or drawn with the assistance of an arrowhead template. Lines with arrowheads that point from a dimension directly to a feature, as shown for the circle and arcs in Figure 22.19, are called leaders.

14 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE Erasing the construction lines and darkening the outline. 22 Chapter CXXXX Page 14 03/18/08 MD FIGURE Dimensions are added R.50 TYP Ø 1.00

15 22 Chapter Cxxxx /19/08 10:25 AM Page 15 chapter 22 Two-Dimensional Drawing FIGURE Extension lines, dimension lines, and centerlines are added R.50 TYP Ø Chapter CXXXX Page 15 03/18/08 MD FIGURE Arrowheads are added to the dimension lines. R.50 TYP 4.00 Ø FIGURE Leaders are added R.50 TYP Ø 1.00

16 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics Two-Dimensional CAD Drawings Two-dimensional CAD drawings are similar to 2-D manually created drawings in that both are a collection of lines, arcs, circles, and other 2-D geometric elements that are grouped to represent the image of an object. With 2-D CAD, however, the manual drawing tools are replaced by a computer, as shown in Figure 22.20, and the vellum is replaced with a software file. This section of the chapter covers the basic practices of creating 2-D CAD-based drawings. Most 2-D CAD software uses similar features, commands, and geometry creation methods, although the precise terminology may vary Basic Setup Commands The basic setup commands are used to prepare a drawing by specifying various user preferences for parameters such as the overall size of the drawing area, units of measurement, sizes of fonts, formats of numbers, and special shortcuts and aids used to speed up the process of creating drawings. Many companies have common settings for these commands to make it easy for different people to work on the same drawing. Following are some common setup commands and their functions: Angle Control helps draw lines at specific angular orientations by forcing, or snapping, any line drawn near specified angular intervals to align to those intervals. This command setting aids in the drawing of angled lines by eliminating the need to enter the values of certain angles. Angle control, sometimes called polar tracking, is also useful for drawing horizontal and vertical lines. An example of a dialog box used to specify angular increments for polar tracking is shown in Figure Layer manages how objects or entities are grouped for convenience within the drawing. Layers also control color, line type, and line weights and control whether the objects on the layer appear on a drawing when it is plotted. It is common, for example, for an annotation to be kept on a separate layer from the geometry of the object. The annotation layer can then be temporarily turned off to reduce the complexity of the drawing when only the geometry needs to be viewed. An example of a dialog box used to control layer properties is shown in Figure Limits defines the overall size of the drawing area, which is often determined by the size of the sheet when the drawing is printed at its full size. 22 Chapter CXXXX Page 16 03/18/08 MD FIGURE CAD drawings require the use of a computer and software to create the graphics.

17 22 Chapter Cxxxx /19/08 10:25 AM Page 17 chapter 22 Two-Dimensional Drawing FIGURE A dialog box used to set up angular control in the user interface of a 2-D CAD software product. 22 Chapter CXXXX Page 17 03/18/08 MD Object Snap helps specify the exact locations of selection points by forcing any selection point near certain types of geometry locations to become coincident with those locations. This command setting aids in the accurate placement of entities or finishing points. Typical selection point locations include the following: Center: locates to the centers of circles and arcs Midpoint: locates to the midpoint of lines and arcs Endpoint: locates the endpoints of lines and arcs Perpendicular: after the first endpoint of a line has been specified, locates the second endpoint to draw the line perpendicular to another line Intersection: locates the nearest intersection of two objects Apparent Intersection: locates the intersection of two entities that would meet if those entities were extended Parallel: after the first endpoint of a line has been specified, locates the second endpoint to draw the line parallel to another line Quadrant: locates the 0, 90, 180, and 270 positions on a circle Tangent: locates the tangent positions of a line, an arc, or a circle with another arc or circle Examples of various symbols used to notify the user that an object snap point has been specified are shown in Figure FIGURE A dialog box used to set up layer control in the user interface of a 2-D CAD software product.

18 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE The endpoint of the line being created can snap to any endpoint (a), perpendicular point (b), or midpoint (c) of another entity. Different symbols are used to indicate the particular snap geometry engaged. Endpoint First point established Second point snaps to existing entity Perpendicular point Midpoint (a) (b) (c) Endpoint Midpoint Center Node Quadrant Indicates active snap Precision specifies the decimal place accuracy of dimensions when they are added to a drawing. This setup command does not affect precision of the location or the size of drawn entities. Text Format specifies the font and size of the letters and numbers used to annotate the drawing. Units defines the units of measurement in the drawing. For example, decimal inches are commonly used in manufacturing drawings, whereas fractional inches are commonly found in construction and architectural drawings. An example of a dialog box used to specify units is shown in Figure Basic Creation Commands Extension Tangent Intersection Perpendicular Parallel The basic entity creation commands, listed and detailed next, are found on most 2-D CAD programs. The procedures for their use are slightly different for each software tool, but the overall utilization concept is the same. Typically, these commands can be initiated by entering a key word or a letter from the keyboard or by selecting a shortcut icon on the screen menu of the program. Arc creates sections of circles. Chamfer replaces the intersection of two entities with a line segment of a specified length and orientation. 22 Chapter CXXXX Page 18 03/18/08 MD FIGURE Part of a dialog box used to specify the type and precision of units to be used on the drawing.

19 22 Chapter Cxxxx /19/08 10:25 AM Page 19 chapter 22 Two-Dimensional Drawing Circle creates a circle. Dimension creates the wide variety of dimensions that are used to specify the exact sizes and locations of points, lines, and arcs. The common types of dimensions that can be created are as follows: 22 Chapter CXXXX Page 19 03/18/08 MD Angular specifies the angle between two lines. Aligned specifies the shortest distance between two points regardless of angular orientation. Baseline specifies sizes and locations from a common extension line. Leader creates annotations that are directed to a specific feature. Linear specifies sizes and locations in horizontal and vertical directions. Ordinate specifies sizes and locations from a newly defined coordinate system. Radial/Diameter specifies the diameters of circles and the radii of arcs. Fillet (or Round) replaces the intersection of two entities with an arc of a specified radius. Hatch fills the area inside a closed loop with a specified pattern, color, or shade. Line creates straight lines at any orientation. Examples of lines created by keyboard entries on the drawing screen are shown in Figure Note that decimal inch units are used in one case and fractional inch units are used in the other case. Point creates a point at a specified location. Text creates letters, numbers, and symbols. Value entered from keyboard (a) First point established Location of pointing device 15 deg Value entered from keyboard 1'- 4 1/2" 17 deg (b) FIGURE The creation of lines with polar coordinates entered from the keyboard. Decimal units (engineering) are used in (a). Fractional units (architectural) are used in (b).

20 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics Basic Editing Commands The basic editing commands are used to modify entities that have already been created. As with the creation commands, the procedures for using editing commands are slightly different for each software tool, but the overall utilization concept is the same. Typically, these commands can be initiated by entering a key word or a letter from the keyboard or by selecting a shortcut icon on the screen menu of the program. Copy is similar to the Move command except that this tool creates new objects at the second location and keeps the original objects in the original location. Divide places points at equally spaced intervals along a selected object. Erase removes the selected objects from the drawing. Extend lengthens an object until it intersects a selected boundary object. Move relocates the selected entities from one location in a drawing to another location within the same drawing. Offset creates a new object that is placed at a constant prespecified distance from the original object. This command is commonly used to create parallel lines and concentric circles. Pattern (or array) copies selected objects and creates a circular group of them around a selected point or creates a rectangular group of them extending from a selected point. Rotate changes the orientation angle of selected objects about a selected rotation center. Scale changes the overall size of selected objects. A new scale number above the value of 1.00 will increase the size of the objects. A new scale number below 1.00 will decrease the size of the objects. Trim removes that part of a selected object that extends beyond its intersection with a selected boundary object Making a Simple 2-D CAD Drawing The use of the setup, creation, and editing commands to make a simple 2-D CAD drawing is now demonstrated through the creation of a drawing of the gasket shown in Figure 22.26, which was created earlier using manual techniques. First, the setup commands are specified, as shown next. Angle control specify a snap to every 90. Layer specify a single layer. Limits specify a letter-sized (8.5" 11") drawing limit with landscape orientation (i.e., a size A drawing). Object snap snap to endpoints, midpoints, and intersections. Precision specify accuracy to two decimal places. Text format specify a drafting font that is 0.25 inch in height. Units specify decimal inches. If this setup will often be used for future drawings, it would be wise to save the drawing as a template. Template files can then be used to create drawings with the desired setup command specifications already in place so the specifications do not need tobe entered again. 22 Chapter CXXXX Page 20 03/18/08 MD FIGURE The 2-D CAD drawing of the gasket begins with a horizontal line. The placement and length are not important as long as the line is horizontal and longer than 4 inches >0 deg

21 22 Chapter Cxxxx /19/08 10:25 AM Page 21 chapter 22 Two-Dimensional Drawing Create a horizontal line using the Line command as shown in Figure The line should be at least 4 inches long and snap to the horizontal position. Next, create a vertical line from the right end of the horizontal line as shown in Figure The vertical line should be at least 2 inches long. Specifying an offset value of 4 inches, use the Offset command to create a copy of the vertical line to the left of the original vertical line as shown in Figure Use the Offset command again, this time specifying an offset value of 2 inches, to create a copy of the horizontal line above the original horizontal line as shown in Figure Use the Fillet command to round the corners of the enclosed rectangle as shown in Figure The radius of the fillet should be specified as 0.5 inch. Select the edges of the rectangle that are to be trimmed to create the fillet. Do this for all four corners of the enclosed rectangle. 22 Chapter CXXXX Page 21 03/18/08 MD FIGURE A vertical line is added at one endpoint. The length is not important as long as the line is vertical and longer than 2 inches. FIGURE The horizontal line is offset by 2 inches in the direction shown. OFFSET, 2 inches >90 deg FIGURE The vertical line is offset by 4 inches in the direction shown. OFFSET, 4 inches

22 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics (a) 0.5-inch radius (b) FIGURE The corners are filleted by specifying the entities to be modified (a) and the radius (b). The center of the 1-inch circle is located using construction lines, which will later be erased. Using the Line command, create a (vertical) line connecting the midpoints of horizontal lines. Then use the Line command to create a (horizontal) line connecting the midpoints of the vertical lines. This construction is shown in Figure Use the Circle command to draw a 1-inch diameter circle as shown in Figure Snap the center of the circle to the intersection of the two lines just drawn. Specify the diameter of the circle as 1 inch (or the radius as 0.5 inch). After the circle is created, the two lines used to locate its center are erased. The dimensions are added as shown in Figure Use the Linear Dimension command, selecting the two vertical lines, to label the width of the gasket. Use the Linear Dimension command again, selecting the two horizontal lines, to label the height of the gasket. Use the Diameter Dimension command, selecting the circle, to label the size of the center hole. Use the Radius Dimension command, selecting one of the corner fillets, to label the radius of the corners. If a Smart Dimension command is available, it can be used to label all of the previous features. 22 Chapter CXXXX Page 22 03/18/08 MD FIGURE The center of the circle is located with construction lines drawn from the midpoints of the sides.

23 22 Chapter Cxxxx /19/08 10:25 AM Page 23 chapter 22 Two-Dimensional Drawing inch diameter FIGURE The center of the circle snaps to the intersection of the construction lines. The diameter is specified. The construction lines can then be erased Chapter CXXXX Page 23 03/18/08 MD R 0.5 TYP Manually Drawn versus 2-D CAD Drawn The current trend is toward increased usage and dependence on 2-D CAD-based tools for creating and editing all types and styles of technical drawings. Manually created drawings have the advantage of requiring simpler and less expensive tools than 2-D CAD-created drawings. Manual drawing tools are also simpler and easier to use. Twodimensional CAD-created drawings require the use of a computer and the appropriate software. Mastering the use of the software typically requires longer and more sophisticated training than mastering the use of manual drawing instruments. However, once mastered, 2-D CAD-based drawings have many advantages over manually created drawings. Two-dimensional CAD-created drawings typically can be produced more quickly than manually created drawings. Manually created drawings are prone to inaccuracies caused by errors in tool placement, measurement, and imperfect drawing technique. Two-dimensional CAD-created drawings are easier to edit compared to erasing entities on a manually created drawing, which is a time-consuming process. Finally, because 2-D CAD-created drawings can be saved as computer files, they require less storage space and can be reproduced and transmitted quickly and easily Ø 1.00 FIGURE The dimensions are added. Adding dimensions to circles and radii usually inserts their centerlines Making a Typical 2-D CAD Drawing A more sophisticated drawing is shown in Figure 22.34, which shows the front and right-side views of a flange. The right-side view is presented as a half section. The steps in the creation of a 2-D CAD-based drawing of this flange are detailed to demonstrate how additional 2-D CAD settings and commands can be used.

24 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE The front and right-side views of a flange. The right-side view is presented as a half section. 2X R.63 2X Ø Ø X X.25 R 1.13 Ø 1.25 First, the setup commands are specified as shown below. This setup is the same as that used in the previous example except for the additional layers and object snaps. If the setup used in the previous example was saved as a template, that template could be recalled, modified, and reused for this example. Angle control specify a snap to every 90. Layer specify five layers. Limits specify a letter-sized (8.5" 11") drawing limit with landscape orientation (i.e., a size A drawing). Object snap snap to endpoints, midpoints, intersections, and tangents. Precision specify accuracy to two decimal places. Text format specify a drafting font that is 0.25 inch in height. Units specify decimal inches. The five layers shown in the example dialog box in Figure are used to organize different aspects of the drawing. Entities used to create the dimensions are grouped into a layer named 0, the centerlines in a layer named center, the hidden lines in a layer named hidden, the outline of the object in a layer called object, and the section lines in a layer called section. The advantage of using five separate layers is that different line styles and colors may be assigned to each layer, as in the case of the flange drawing. For example, an entity created on the center layer will appear as a sequence of short and long dashes, whereas an entity created on the object layer will appear unbroken. An entity on the hidden layer will appear with dashed lines. In addition, the object lines and section lines should be slightly thicker than the default line type. The color and line style of every entity in a layer can be changed, if needed, in a single operation by changing the default settings in that layer. Once the setup is complete, the front and right-side views can be created. The center layer is activated, and the Line command is used to draw intersecting horizontal and vertical lines as shown in Figure These lines automatically appear as centerlines because they have been drawn on the center layer. These lines will be used to locate the large hole on the front view. Next, use the Offset command to create a copy of the horizontal line 1.49 inches above the original line; then use Offset again to create a copy 1.49 inches below the original line. The intersection of the vertical line with the two new horizontal lines will be used to locate the centers of the two smaller holes on the front view. 22 Chapter CXXXX Page 24 03/18/08 MD

25 22 Chapter Cxxxx /19/08 10:25 AM Page 25 chapter 22 Two-Dimensional Drawing FIGURE An example of a dialog box used to specify the names, the line types, the colors, and other information about the layers on the drawing. 22 Chapter CXXXX Page 25 03/18/08 MD FIGURE Start the front view of the flange by creating intersecting horizontal and vertical centerlines on the center layer. Offset the horizontal lines to locate the centers of the two holes. Vertical line Horizontal line Offset by 1.49 inches Offset by 1.49 inches In creating the outline of the part, the object layer is activated. The holes are created with the Circle command. When this command is selected, the center of the circle being drawn should snap to the intersections of the lines. A 1.25-inch diameter circle is created with its center at the middle intersection of the lines. A 0.5-inch diameter circle is created at each of the upper- and lower-intersections of the lines. In addition, a 1.56-inch circle, representing the outer surface of the cylindrical part of the flange, and a 2.25-inch diameter circle, representing the large round at the base of the flange, are created with their centers at the middle intersection of the lines. Also, 1.25-inch diameter circles, representing the smaller round at the base of the flange, are created at the upper- and lower-intersections of the lines. These circles, which appear unbroken because they are located on the object layer, are shown in Figure Using the Line command, the straight edges of the base are created with tangent lines, which are drawn between each of the circle edges as shown in Figure The endpoints of each line will snap to the nearest tangent point of each circle. The Trim command is used to remove the unneeded arc segments to complete the front view, which is shown in Figure

26 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE After the switch is made to the object layer, circles are drawn to represent the holes, outer diameter, and rounds on the flange. 0.5-inch diameter 1.25-inch diameter 1.25-inch diameter 2.25-inch diameter 1.56-inch diameter FIGURE Tangent lines are drawn to the outer circles to create the outer edges. FIGURE The outer circles are trimmed to the tangent lines to create the outer edges of the part. Tangent Tangent Tangent Tangent Trimmed 22 Chapter CXXXX Page 26 03/18/08 MD Trimmed In creating the right-side view, new horizontal centerlines, created in the center layer, are attached to the ends of the existing horizontal centerlines and extended into the right-side view. These new centerlines will be used to help locate the flange

27 22 Chapter Cxxxx /19/08 10:25 AM Page 27 chapter 22 Two-Dimensional Drawing Chapter CXXXX Page 27 03/18/08 MD FIGURE The right-side view is drawn by using horizontal lines to project key points from the front view. holes in the right-side view. The object layer is then activated, and a vertical line is created to represent the back surface (shown as an edge) of the base on the flange. The front surface of the base can be located by using the Offset command to create a copy of the back edge (the vertical line just created) at a distance of 0.3 inch to the left of the back edge. The front surface of the flange can be located by using the Offset command to create a copy of the back edge at a distance of 1.75 inches to the left of the back edge. Key points can then be projected from the front view to the right-side view to locate other key locations on that view. On some software, this projection may require construction of temporary geometry (that will be erased later). On Figure 22.40, for example, a horizontal construction line is created through the intersection of the vertical centerline and the outer cylindrical surface on the front view. This construction line can be used to locate the outer cylindrical surface on the rightside view. The limits of the base on the flange and the limits of the holes can be located with this method. After the needed lines are trimmed, the right-side view will appear as shown in Figure The right-side view is to be presented as a half section. Therefore, the internal features of the flange will be shown with section lines on half of the view, and the other half will be shown with hidden lines. The hidden lines are created by selecting the interior lines on the lower half of the right-side view, as shown in Figure 22.42, and reassigning them to the hidden layer. This action will convert these solid lines into dashed lines. Section lines are created on the upper half of the right-side view by using the Hatch command. By default, this command usually fills a selected closed area with uniformly spaced lines at a 45º angle. The pattern can be easily edited to adjust the line spacing, density, or pattern. The areas that have been hypothetically cut should be selected on the upper half of the right-side view of the flange. The result is shown in Figure Now the cutting plane line and arrow are fabricated. If the 2-D CAD software being used does not have a tool for creating a cutting plane line, the line can be fabricated with a leader line and a standard line. Adjust the line properties to produce a thick dashed line as shown in Figure After the dimension layer is activated, dimensions can be placed on both views as shown in Figure Arcs that are less than 180º are typically labeled as radii instead of diameters inch offset inch offset Back Top Edges located by projection from the front view

28 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE The outline of the right-side view is completed. FIGURE The internal features are added. Lines become dashed when they are reassigned to the hidden layer. Lines that are to be centerlines should be assigned to the center layer. FIGURE The external edges are trimmed on the section view, and section lines are added to the areas that have been cut. Assigned to hidden layer Section lines are added to the closed-loop areas formed by areas that have been cut 22 Chapter CXXXX Page 28 03/18/08 MD Trimmed

29 22 Chapter Cxxxx /19/08 10:25 AM Page 29 chapter 22 Two-Dimensional Drawing FIGURE The cutting plane line can be constructed using a combination of a continuous line, a dashed line, and a leader. Cutting plane line constructed from dashed line and leader 22 Chapter CXXXX Page 29 03/18/08 MD FIGURE Dimensions and other annotations are added on the dimension layer X R R X Ø.50 Ø 1.25 Ø X.06 2X Creating Auxiliary Views Using 2-D CAD Auxiliary views are commonly used to show the true shape of an inclined surface on an object. The object shown in Figure 22.46, for example, is presented in front, right-side, and auxiliary views. The creation of the auxiliary view requires the creation of lines that are parallel or perpendicular to the inclined edge in the front view. When such a construction is presented, two popular methods can be used to create lines with the necessary orientation in the auxiliary view. One method entails using the Offset, Parallel, and Perpendicular tools; the other method focuses on changing the orientation of the xy coordinate system. Both work well.

30 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE The front, side, and auxiliary views of an object with an inclined surface and a hole Using Offset, Parallel, and Perpendicular The Offset command can be used to copy the inclined edge and place the copy at the desired distance away from the original view, as shown in Figure 22.47, to create a projected edge. The Offset command can be used again to copy the inclined edge and place it at the correct distance to represent the object s depth, as shown in Figure The true shape of the inclined surface in the auxiliary view is completed by connecting the endpoints of the projected edges. Additional edges that may be needed to complete the object in the auxiliary view are either parallel or perpendicular to the projected edge. Lines that are parallel to the projected edge can be created using the Line command with the parallel object snap option and specifying the projected edge as the parallel reference. Lines that are perpendicular to the projected edge can be created using the Line command with the perpendicular object snap option and specifying the projected edge as the parallel reference. 22 Chapter CXXXX Page 30 03/18/08 MD Offset FIGURE To construct the auxiliary view, offset the edge of the inclined surface.

31 22 Chapter Cxxxx /19/08 10:25 AM Page 31 chapter 22 Two-Dimensional Drawing Offset the Depth 22 Chapter CXXXX Page 31 03/18/08 MD Rotating the Coordinate System Depth FIGURE Locate the back of the object on the auxiliary view by offsetting the edge by the depth of the object as seen in the side view. In the default xy coordinate system on most 2-D CAD software, the positive x-axis points to the right (horizontal) and the positive y-axis points up (vertical). The coordinate system can be reoriented so that the x-axis or y-axis points in any desired direction. In the construction of an auxiliary view, the goal is to create lines that are either parallel or perpendicular to the inclined edge in an existing view. For this purpose, it is useful to reorient the coordinate axis such that the x-axis points in the same direction as the inclined edge, which automatically forces the y-axis to point in a direction perpendicular to this edge. This reorientation is shown in Figure With the coordinate system in this orientation, any line that is created as horizontal will be parallel to the inclined edge. Any line that is created as vertical will be perpendicular to the inclined edge. Creating the auxiliary view, as shown in Figure and Figure 22.51, is simplified because the inclination angles need not be measured or calculated. Y X Y X (a) (b) FIGURE Realignment of the original drawing coordinate system (a) to be parallel and perpendicular to the inclined edge (b).

32 22 Chapter Cxxxx /19/08 10:25 AM Page sectionfive Advanced Topics in Engineering Graphics FIGURE In the realigned coordinate system, vertical lines will automatically be created perpendicular to the inclined edge (a) and horizontal lines will automatically be created parallel to the inclined edge (b). "Vertical" line Y Y "Horizontal" line X X (a) (b) FIGURE The limits of the inclined plane in the auxiliary view are drawn with vertical lines and offset horizontal lines. Y X Offset depth "Vertical" line 22 Chapter CXXXX Page 32 03/18/08 MD Projecting Features from Auxiliary Views Auxiliary views are most often used to show inclined surfaces or features on inclined surfaces in their true shape and size. Consequently, features on inclined planes are most easily created in the auxiliary view because their distortion need not be considered. However, such features, when projected onto one of the standard views, do become distorted; and this distortion should be presented. Consider the hole in the object shown in Figure In the right-side view, the hole becomes elliptical. Four points, which are the endpoints of the major and minor axes of the ellipse, are needed to define its shape.

33 22 Chapter Cxxxx /19/08 10:25 AM Page 33 chapter 22 Two-Dimensional Drawing Chapter CXXXX Page 33 03/18/08 MD FIGURE The hole, seen in its true shape in the auxiliary view, should be projected into the side view. The vertical location of the ellipse can be found by projecting the center location from the front view. The horizontal location of the ellipse can be found by measuring its location from the front edge of the inclined surface as seen in the auxiliary view. The minor axes can be found by projecting the limits of the circle from the auxiliary view to the front view and then into the right-side view, as shown in Figure The length of the major axis of the ellipse is the same as the diameter of the hole. Thus, with the length of the major and minor axes defined and the location of the center known, an ellipse can be drawn using the Ellipse command found in most 2-D CAD software, as shown in Figure Center location Center location FIGURE The location of the center and limits of the minor axis are projected from the auxiliary view to the inclined surface in the front view, then into the side view.

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