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Session 3538

3D CAD Approach for Vector Graphics

Daniel M. Chen Central Michigan University

I. Introduction

The purpose of this study was to investigate the effectiveness of the 3D CAD approach in the analysis of concurrent coplanar and non-coplanar vector systems. Much engineering data is graphical in nature. Graphical methods utilizing such data can provide comparable accuracy for analysis of vectors, such as forces, velocities and accelerations, in mechanics, machine design and structural analysis 1. When two or more vectors act on an object through a common point, it is called a concurrent vector system. It is often necessary in engineering practice and design work to resolve a known vector into concurrent coplanar or non-coplanar components. Many textbooks in descriptive geometry discuss this so-called polygon method or vector-polygon method in the chapter of vector graphics 2,3. Solutions are usually handled with the graphical construction of vector polygons.

Today, the CAD systems with solid modeling capability are becoming more popular in engineering design. Many researchers investigated the potential application of 3D CAD in descriptive geometry with diversified emphasis 4,5,6. Although every one of them addressed the possible application of 3D CAD for one topic or the other in descriptive geometry, no one discussed the application of 3D CAD for the analysis of vector systems. The purpose of this study was to investigate how the 3D CAD approach could be utilized in solving concurrent coplanar and non-coplanar vector systems. Both the 3D CAD approach and the traditional approach (polygon method) that requires the manual construction of vector polygons are used to deal with the same set of problems, and therefore, can be evaluated for their effectiveness.

II. Concurrent Coplanar Vector System

Figure 1 depicts a coplanar vector system that has forces that lie in the same plane. The hoisting system, which has a pulley mounted at the end of the boom C, is used to support a weight of 50,000 pounds through cable A. If boom C is held in place by chain B, find the forces in both B and C.

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Chen, D. M. (2000, June), 3 D Cad Approach For Vector Graphics Paper presented at 2000 Annual Conference, St. Louis, Missouri. 10.18260/1-2--8148