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lesson3581_6

 

 

 


Lesson 6: Ellipse Geometry

 

Introduction

 

Technical Illustration essentially is an art and a science of taking orthographic views and creating a three dimensional image.

There are three standard isometric views and you will be exploring these views in this lesson. With some illustrations and depending upon certain characteristics of a model one view might be used better than another.

Along with our Standard views come the 'un standard' views where ellipses have to be modified; in terms of the minor and major axis. Isometric ellipses are set at 35 degrees but non standard can vary from this value. In this lesson you will learn how using ACAD to determine and draw a non standard ellipse. These kind of ellipses are found on sloping surfaces

A Draftsman not only makes the blueprint but their responsibilities also lie in being able to present the print so others can visualize what the model looks like. In this lesson the Draftsman has to make the choice as to what Isometric view would best be suited to illustrate the model in question. But, what about using a 3d model in place of an isometric drawing. Are they both as accurate. We will explore in this lesson drawing and comparing the Isometric with the 3d.

Connecting Your Learning

As you work your way through this lesson, you should reflect on the following questions:

What is the function is of the iso ellipse command and the ellipse command in determining the major and minor axis of an ellipse?
How can I project an ellipse on an angled surface?
What type of Isometric view is used to show the bottom of an object?
What are Isometric lines?
What are Non isometric lines?

 

 

Focusing Your Learning

The State of Arizona has assembled Drafting standards to make sure that Instruction is thorough and well thought out by the instructor. By clicking on the hyperlink below will upload to your browser window the entirety of these standards. The standards that are addressed in this lesson are below the hyperlink.

1.0 USE BOARD DRAFTING EQUIPMENT, INSTRUMENTS AND MEDIA.

  • 1.1 Analyze Drawing surfaces for Drafting
  • 1.6 Demonstrate Sheet Setup skills

2.0 DEMONSTRATE SKETCHING, LETTERING, AND LINE SKILLS.

  • 2.1 Demonstrate freehand sketching skills for drafting applications.
  • 2.2 Demonstrate lettering skills.
  • 2.3 Demonstrate line work.

6.0 DEMONSTRATE GEOMETRIC CONSTRUCTIONS

  • 6.1 Measure Geometric Constructions.
  • 6.2 Develop Geometric Constructions.

8.0 APPLY BOARD DRAFTING SKILLS TO COMPUTER-AIDED DESIGN/DRAFTING (CADD)

  • 8.1 Demonstrate computer skills for a CADD system.
  • 8.2 Create dimensional CADD entities.
  • 8.3 Create 3 dimensional CADD drawings.


The State of Arizona has also assembled Math standards and many of these apply directly to the vocational subject area of Drafting. Drafting is a very precise discipline and the use of mathematics is integral to design and manufacturing. Below are the math standards that are involved in this lesson

1M-P1. Compare and contrast the real number system and its various subsystems with
regard to their structural characteristics
  • PO 2. Compare subsets of the real number system with regard to their properties
    (commutative, associative, distributive, identity, inverse and closure properties)

1M-P2. Construct, interpret and demonstrate meaning for real numbers and absolute

  • PO 3. Solve real-world distance problems using absolute value
  • PO 4. Determine, among the solutions to a real-world problem, which, if any, is reasonable
  • PO 2. Define absolute value as the distance from the origin

4M-P1. Interpret and draw three-dimensional objects

  • PO 1. Sketch prisms, pyramids, cones, cylinders and spheres
  • PO 2. Classify prisms, pyramids, cones, cylinders and spheres by base shape and lateral surface shape.
  • PO 3. Recognize the three-dimensional figure represented by a two-dimensional drawing.
  • PO 5. Make a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional representation of a three-dimensional object (models and representations include scale drawings, perspective drawings, blueprints or computer simulations)
4M-P4. Deduce properties of, and relationships between, figures from given
assumptions
  • PO 1. Find similarities and differences among geometric shapes and designs using a given attribute (e.g., height, area, perimeter, diagonals and angle measurements)
  • PO 2. Identify arcs, chords, tangents and secants of a circle
  • PO 3. State valid conclusions using given geometric definitions, postulates and theorems
  • PO 4. Represent pi as the ratio of circumference to diameter
Lesson Objectives
By the end of this lesson you should be able to:

1. Draw an ellipse using the Iso Ellipse command in the CADD software.
2. Rotate a standard Isometric view to reversed axis and long axis views.
3. Sketch Isometric models using an Isometric Grid.
4. Adjust line weights in ACAD for easier viewing of the constructed model.
5. Draw an ellipse from an Iso Ellipse using projection lines and determining the major and minor axis.
6. Project and ellipse on an angled surface using an isometric ellipse.
7. Maintain approximate proportions using "boxing in" also called the "Glass box Technique"
8. Using an Ellipse to project another ellipse that is not isometric

Key Terms

"click on the key on any of these terms and it will hyperlink to the course glossary"

isometric
long axis
ellipse
orthographic
projection lines
hex bolt
reverse axis
ellipse
isometric lines
line weight
glass box
dimension
Iso Ellipse proportion ellipse Boxing-in

 

Instruction

The following are the models that will be used for Lesson 6:

  • Lesson 6: [drawing figure 4.12 on page 47 of the Thomas Text]
  • For this model you will be drawing the isometric view of the above model as a sketch and then using an Isometric ellipse to project lines onto the sloping surface of this model. After our model is constructed we will discover our dimensions and create a 3d model of figure 4.12 and compare both in isometric perspective.

    I will explain this further in the lesson 6 media disc. Please insert the media disk and listen to lesson 6.

*Note: The Lessons are best viewed with real player and you can download the latest version by clicking on the words real player.

Below are two examples of Lesson 6; one being an isometric and the next screen capture jpeg is the precise 3d model of the very same model. Remember you must turn in each of these views separately as indicated in the assessment section of this lesson.

Your Text Book and Reading Assignments

Text: Technical Illustration by Thomas

Use Chapter 4"Isometric Drawing'' Pages 42-55, as a reading reference.

 

Summary and Assessment
Lesson 6 assessment comprises:
  • Lesson 6a figure 4.12 ; regular isometric view.(20 pts.)
  • Lesson 6b figure 4.12; 3d model.(20 pts.)

Rubrics for Grading: The drafting standards for assessing the quality and accuracy of your drawings are as follows: Neatness, Accuracy and Lines and Lettering. One half of one point (.5) will be taking off your score in relation to NALL.

Submit by email attachment all of the above lessons as dwg. files and send to your Instructor whose mail address is. losimilar@yahoo.com Your Instructor will grade your drawings within 24 hours and email you back the grade/assessment of your work. You should take allot of pride in your work.

copyrightŠ2004 e.gaudette.pvusd.all rights reserved_____________________________________________

 

 

 

Technical Illustration 3581

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


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