# Sketching Iso and Ellispses

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Isometric ellipsesIn an isometric drawing, the object is viewed at an angle, which makes circles appear as ellipses.

Holes

Cylinders

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Example object focus on eye piece. Inside (hole) and outside (cylinder) both appear elliptical in this sketch.

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Sketching a Circle

Draw a square whose sides are the diameter of the circle.At the center of each side define the point of tangency for the circle.Draw the diagonals of the square.Orient the paper so you can draw equal arcs to construct the circle

• *Introduction to Isometric Projection Isometric means equal measure All planes are equally or proportionately shortened and

tilted All the major axes (X, Y, Z) are 120 degrees apart

CUBE

*Isometric Projection: One type of axonometric pictorial (3-D) projection Iso- means equal

metric projection means a projection to a scaled measureThe three dimensions are not only shown in one view, but also the dimensions can be scaled from this drawingSTART WITH A CUBEAll of the normal drawing planes (top, front, side) are equally foreshortened or tilted, and all of the major axes (X, Y, Z) are at equal rotations from each other (120 degrees apart), as in the illustration above.And, because all of the major planes are equally foreshortened, all of the measurements in these planes are equal as well as shown above. This means that the same measuring scale may be used in drawing both the width, height, and depth of objects.

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Making an Isometric Sketch Defining Axis

*Derive the axes from a vertex of the cube

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Ellipses Can be in Any of Three Planes

*Ellipse could appear in any one of the three planes (front, profile or side, horizontal or top)

Major axis (long axis) of the ellipse will be along the long diagonal of the rectangle

Minor axis (short axis) along the shorter diagonal.

Note ellipse must have the correct orientation in the box. (Almost fills the box, if rotated 90 degrees, it would be incorrect for the plane of view.)

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Sketching an Isometric of a Hollow Pipe

*Isometric object without construction lines

Note: Student product will have construction lines.

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Step 1 Creating the Base Box

*Recall that the proper way to start an isometric sketch is to lightly sketch in the box within which the object will fit.

Process will fairly closely follow that described in 2.4.2 of Bertoline.

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Step 2 Ellipse on Front Face

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Note for students that just front part of box will be shown to keep it simple in the visuals.

Sketch in lines corner to corner (along major and minor axis of ellipse) to get center point

Sketch perpendicular lines through center point to get tangent points on outside box.

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Step 3 Ellipse on Front Face

*Sketch in smooth arcs to join the Tangent points on Major axis and minor axis. Radius of arc on the longer diagonal is shorter than the radius of arc on the shorter diagonal.

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Step 3 Ellipse on Back Face and Profile

*Note that in case on the rear side of the pipe, only a part of the ellipse is visible. So only the part which is visible is drawn with dark lines

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Step 4 Ellipse for Hole on Front Face

*Encourage student to leave in their light construction lines. Constructions lines not shown here to just add focus to what is being added at this step. Note that the construction line should be much lighter and thinner than the main object lines.

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Isometric of Hollow Pipe

*Isometric object without construction lines

Note: Student product will have construction lines.

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SummaryTechnical drawings are an effective communication mediaProjections of various types can be usedIsometric projections and creating isometric sketches has been introducedAssignments will emphasize simple isometric sketches

*Summarize the objectives of the sessionWill introduce more advanced isometrics and orthographics drawing in next class

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Review Questions_______ sketches present the object in a single view, with all three dimensions represented_______ sketches present the object in a series of projections, each one showing only two of the objects three dimensionsWhich among the following is NOT an isometric axes (Hint: Use the Isometric Grid paper for reference)?

*Note on all REVIEW QUESTIONS slides: Have the students do individually and check with their partner. Will not be graded. This is for better understanding and making the students read the text book. Students could expect such questions in their mid-term and final. Answers will also be posted on WebCT.

Answers: Pictorial (Axonometric/Isometric, Perspective, Oblique) Multiview/orthographic c) => spacing between any two axes can be 30, 60, 120, 240 only

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Follow Sketching and Text conventions.Title Information is required. Avoid labels on the sketch.Leave the construction lines MUCH lighter and thinner than the finished linesInclude centerlines on isometrics

Tips for Drawing Assignments

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Do not try to shade drawing this is not a pencil sketching class.Use grid paper. Try to sketch along grid lines. Practice sketching straight lines and curves on a grid sheet.

Tips for Drawing Assignments

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Tips for Pictorial ViewsIn pictorial views, hidden lines are not shown unless absolutely required for clarity, such as;Non-visible bottom of a blind holeImportant feature of object not in direct viewIn pictorial views, holes or notches without bottom/end visible should be assumed to go completely through the object.Centerlines are to be shown on all isometric pictorials.

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In Class Assignment

Use Isometric Sketch Paper (ISP)

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Example object focus on eye piece. Inside (hole) and outside (cylinder) both appear elliptical in this sketch.*Isometric Projection: One type of axonometric pictorial (3-D) projection Iso- means equal

metric projection means a projection to a scaled measureThe three dimensions are not only shown in one view, but also the dimensions can be scaled from this drawingSTART WITH A CUBEAll of the normal drawing planes (top, front, side) are equally foreshortened or tilted, and all of the major axes (X, Y, Z) are at equal rotations from each other (120 degrees apart), as in the illustration above.And, because all of the major planes are equally foreshortened, all of the measurements in these planes are equal as well as shown above. This means that the same measuring scale may be used in drawing both the width, height, and depth of objects.

*Derive the axes from a vertex of the cube*Ellipse could appear in any one of the three planes (front, profile or side, horizontal or top)

Major axis (long axis) of the ellipse will be along the long diagonal of the rectangle

Minor axis (short axis) along the shorter diagonal.

Note ellipse must have the correct orientation in the box. (Almost fills the box, if rotated 90 degrees, it would be incorrect for the plane of view.)*Isometric object without construction lines

Note: Student product will have construction lines.*Recall that the proper way to start an isometric sketch is to lightly sketch in the box within which the object will fit.

Process will fairly closely follow that described in 2.4.2 of Bertoline.*

Note for students that just front part of box will be shown to keep it simple in the visuals.

Sketch in lines corner to corner (along major and minor axis of ellipse) to get center point

Sketch perpendicular lines through center point to get tangent points on outside box.*Sketch in smooth arcs to join the Tangent points on Major axis and minor axis. Radius of arc on the longer diagonal is shorter than the radius of arc on the shorter diagonal.*Note that in case on the rear side of the pipe, only a part of the ellipse is visible. So only the part which is visible is drawn with dark lines*Encourage student to leave in their light construction lines. Constructions lines not shown here to just add focus to what is being added at this step. Note that the construction line should be much lighter and thinner than the main object lines.*Isometric object without construction lines

Note: Student product will have construction lines.*Summarize the objectives of the sessionWill introduce more advanced isometrics and orthographics drawing in next class

*Note on all REVIEW QUESTIONS slides: Have the students do individually and check with their partner. Will not be graded. This is for better understanding and making the students read the text book. Students could expect such questions in their mid-term and final. Answers will also be posted on WebCT.

Answers: Pictorial (Axonometric/Isometric, Perspective, Oblique) Multiview/orthographic c) => spacing between any two axes can be 30, 60, 120, 240 only

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