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Solid Edge Black Book. Save Solid Edge Black Book for later. Budget Tamil. Save Budget Tamil for later. FreeCAD 0. Ebook FreeCAD 0. Save FreeCAD 0. Numbers to one side of the Origin are positive, those on the other side are negative as shown in Figure: 2. Figure: 2 Any point on the line is precisely located given its value and sign. In Figure: 2 the coordinate «3» lays three units to the right of the Origin point.
The coordinate «-4» lays four units to the left of the Origin. Note: It is common practice to drop the sign for positive numbers. However, negative numbers must include the negative sign «-«. For example, the number -3 must include the «-» sign.
One line is horizontal left to right and is labeled as the X-axis. The other is vertical up and down and labeled as the Y-axis.
The point where the axes cross is the Origin as shown in Figure: 3. Figure: 3 All points in this space, also called a Plane, or Construction Plane, are precisely defined given its axes label, sign, and value. Note: Cartesian coordinates may be written in two different ways. One uses the axis label, sign and value. For example: X3 Y2. The other writes coordinates as an Ordered Pair.
Numbers are written in a specific order X,Y separated by commas. For example: 3,2. Positions within the Cartesian coordinate system may be described using Absolute, Incremental, or Polar coordinates.
Starting at the Origin, the following diagram shows a move to N1 and then to N2, written in absolute coordinates as shown in Figure: 4. Figure: 4 Incremental coordinates sometimes called Delta or Rectangular coordinates are always in reference to the current position.
For example, starting at the Origin, Figure: 5 shows a move to N1 and then to N2, written in incremental coordinates. Starting at the position X2, Y1 , Figure: 6 shows a move to N2, written in polar coordinates. Figure: 6 Angles are measured in degrees from the position as shown in Figure: 7. CW angles are negative. For example, the angle is the same as Reference position for the polar coordinates. Angles can be expressed in degrees, minutes and seconds, which is abbreviated, DMS.
It’s important to know which quadrant the part is in because the sign of the coordinates changes based on the quadrant. As shown in Figure: 8, all points in quadrant I , have positive X and Y values. Points falling in quadrant II have negative X and positive Y values, and so on. Figure: 8 Turn to the end of this chapter and complete; l l Exercise , Cartesian Coordinate System.
Exercise , Incremental Positioning. The drawing below shows the datum in the lower-left corner, locating the part in the first quadrant as shown in Figure: 9. Figure: 9 Note: Even though part prints do not show dimensions as negative numbers, you must input negative values when appropriate. For example, the hole in the upper left corner in the drawing below is at the coordinate: X.
The following drawing shows the same part with the datum in the upper-left corner, locating the part in the fourth quadrant. For example, it is common to place the Datum at the center of round parts as shown in Figure: Figure: 10 Since most parts get installed into an assembly, the Datum ensures that critical dimensions are held for proper fit and function.
In the example below, the critical dimensions are between hole centers in reference to the 0. Thus, the engineer selected the center of this hole as the Datum as shown in Figure: Figure: 11 Note: Attention to the datum is essential to part quality. Usually the same datum used to dimension the part is also used for machining. It extends, for all practical purposes, infinitely in all directions.
Its position and orientation never change. Within this coordinate system, any number of Planes, called Construction Planes, can be defined. A Plane can be located and oriented anywhere within the coordinate system.
Planes make drawing easier and are required to define certain 2D entities. Figure: 12 Examples in this chapter use the predefined plane, Top. Select the Top Plane by clicking on Plane on the status bar and picking Top from the list.
Note: You can view the coordinate system axes by selecting F9 or File, Configuration, Screen, Display part information. Screen Grid shows the position and orientation of the active Cplane. Wireframe geometry includes information only about the edges of a part. Wireframe models cannot be shaded. A surface can be thought of as an infinitely thin shell stretched over a wireframe.
Surface geometry includes information about the faces and edges of a part. There are many types of surfaces; each suited to model a specific type of shape. Surfaces are used to model complex, freeform organic shapes common in the automotive, aircraft, mold, and consumer goods industries. Surface modeling is covered in the Mastercam Handbook, Volume 2.
Solids contain information about the edges, faces, and interior of the part. Solids are able to model many parts, but some highly sculpted shapes, like car bodies, may still require surfaces. All Solids start with profiles of wireframe geometry. Solids are covered in Chapter 5, Solid Modeling. Entity Definition Point A point occupies a single set of coordinates in space.
It has no length, depth, or width; it is infinitesimally small. Line Arc Spline Drafting A line is an entity defined by any two points in space, called endpoints. Lines have length, but no width or depth; they are infinitely thin. An arc is an entity that is equidistant from a point in space, called a center point. Arcs are «2D» entities, meaning that they must lie on a plane. A Spline is a curve that travels, usually smoothly, through a set of points, called Control Points.
There are two types of splines; 2D and 3D. Drafting entities include notes, text, leader lines, witness lines, and hatchs. They are used to annotate a drawing. Drafting text and notes are stored as a special entity type called a font, which allows lettering to be stored in an efficient format. Wireframe geometry includes other geometry types, such as a helix, ellipse, and rectangle. However, these are modeled using one of the basic entity types described above.
For example, an ellipse is modeled using a spline, and a rectangle is modeled using four individual lines. This chapter deals with how to create basic wireframe geometry types listed in the table above.
Once you understand these, it will be easy for you to create other types. Figure: 13 shows the commands used to create wireframe geometry. The commands are arranged in groups based on entity types or specific activity. The groups are displayed in the ribbon from basic to more complex functions. A line can start and end anywhere in the Mastercam Coordinate System as shownFigure: Full length of the line, regardless of the view.
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