## CNC Training

Class Information
 Tooling U-SME classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and will take approximately one hour to complete.
 Class Name: Turning Calculations 285 Description: This class explains the common calculations necessary to plot the toolpaths for a basic turning program. Difficulty: Intermediate Number of Lessons: 19 Language: English, Spanish

Class Outline
• Objectives
• The Purpose of Toolpath Calculations
• Facing and Turning Calculations
• Using Trigonometry
• Drilling Calculations
• Using TNRC
• Incorporating TNR Calculations
• Chamfer with TNRC
• Chamfer Without TNRC
• Arc Programming Methods
• Full Arc with TNRC
• Programming an Arc Motion
• Calculating a Radius Without TNRC
• Calculating Leading Edges Without TNRC
• Partial Arc with TNRC
• Finding the Arc Center Coordinates
• Finding the Partial Arc Endpoints
• Summary

Class Objectives
• Identify toolpath movements on the turning center.
• Establish the X- and Z-axes.
• Show how toolpath movements form right triangle geometry.
• Calculate the required drill depth.
• Explain how the tool nose radius impacts part size.
• Identify the information required for tool nose radius compensation.
• Describe situations requiring manual tool nose radius calculations.
• Calculate chamfer toolpath coordinates using TNRC.
• Calculate chamfer toolpath coordinates without TNRC.
• Identify two arc programming methods.
• Calculate coordinates for a full arc center using TNRC.
• Identify program blocks used to machine a full arc.
• Calculate full arc radius coordinates without TNRC.
• Calculate full arc start and ending coordinates without TNRC.
• Calculate the theoretical intersection point of a partial arc.
• Calculate the center coordinates of a partial arc.
• Calculate the start and ending coordinates of a partial arc.

Class Vocabulary

Vocabulary TermDefinition
A small distance that the cutting tool travels before engaging the workpiece. The approach distance is added for safety reasons.
Computer-aided design/computer-aided manufacturing. CAD/CAM software helps programmers to efficiently design parts and generate part programs.
A circular path that requires multi-axis tool movement. Full arcs and partial arcs require circular interpolation.
In a right triangle, the ratio of the length of the side adjacent to the angle divided by the hypotenuse.
A portion of a circle that forms an angle measuring exactly 90 degrees.
In a right triangle, the side located opposite the right angle. The hypotenuse is always the longest side.
A method for programming circular interpolation that uses an I code and a K code to indicate the coordinate location of the arc center.
The portion of the tool nose that contacts a line parallel to the X-axis or Z-axis.
A straight-line path that requires tool movement along more than one axis at once. Chamfers and tapers require linear interpolation.
A portion of a circle that forms an angle measuring less than 90 degrees.
A method for programming circular interpolation that uses an R code to indicate the size of the radius that forms the arc.
A tool movement that gradually engages the cutting tool with the workpiece.
A triangle containing one angle that measures exactly 90 degrees.
In a right triangle, the ratio of the length of the side opposite the angle divided by the hypotenuse.
In a right triangle, the ratio of the length of the side opposite the angle divided by the adjacent side.
The rounded tip on the cutting edge of a single-point tool. The greater the nose radius, the greater the degree of roundness at the tip.
An offset feature used on a turning center that slightly shifts the toolpath for the rounded tip of an insert during contouring, chamfering, and other multi-axis operations.
The series of coordinate positions that determine the movement of a tool during a machining operation.
The branch of mathematics that addresses the measurements and relationships of a triangle and its parts.
The linear axis that determines the size of the part's radius or diameter.
The linear axis that determines the size of the part's length from the face to the base.