isometrics - ccory

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    Isometric

    PictorialSketching

    Classification of Sketches

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    Isometrics

    The Greek word Axon means Axis

    And Metric means to measure

    Axonometric projection is a parallel projectiontechnique used to create a pictorial drawing of anobject by rotating the object on an axis relative to aprojection or picture plane

    Axonometric drawings are classified by the anglesbetween the lines comprising the axonometric axes. Isometric- All three angles equal

    Diametric- Two angles equal

    Trimetric- No angles equal

    Advantages and Disadvantages

    Lines are scaled (foreshortened) but can find scalingfactors

    Lines preserved but angles are not

    Projection of a circle in a plane not parallel to the projectionplane is an ellipse

    Can see three principal faces of a box-like object

    Some optical illusions possible

    Parallel lines appear to diverge

    Does not look real because far objects are scaled thesame as near objects

    Used in CAD applications

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    Pictorial projection

    Not intended to give exact or true

    view.

    Not intended to transmit

    dimensions, although sometimes

    dimension is useful.

    Useful when the information and

    instructions to be given to non-

    technical and untrained people.

    Hidden lines are not shown in

    isometric drawing.

    Isometric projection

    Isometric projection is a true representation of the isometric

    view of an object

    Isometric view is created by rotating the object 45 degree

    about vertical axis, and tilting it forward 35 deg 16

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    Isometric Projection vs. Drawing

    Isometric Projection is produced at a scale of 0.816

    Isometric projection is a true representation of theobject

    Isometric Drawing is produced using a scale that isfull size

    Isometric Drawing has the same proportion as anisometric projection but is larger by a factor of 1.23:1

    Isometric drawings are almost always preferred overisometric projection because they are easier to

    produce

    Axonometric Projection

    Type of axonometric drawing

    Axonometric projection Trimetric Dimetric Isometric

    a

    b cTwo angles are equal.

    b

    a

    c None of angles are

    equal.

    a

    b cAll angles are equal.

    Isometric axis

    Dimetric axis

    Trimetric axis

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    Axonometric projection

    Axonometric project ion Trimetric Dimetric Isometric

    Selection of Isometric Axes

    Main purpose of isometric view is to provide a pictorial view which

    reveals as much detail as possible

    Selection of principal edges is important

    Figure shows different isometric views of the same block

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    Posit ions of Isometric Axes

    Isometric axes can be arbitrarily positioned to createdifferent views of a single object.

    Regular

    isometricReverse axis

    isometric

    Long axis

    isometric

    View point is lookingdown on the top ofthe object.

    View point is lookingup on the bottom ofthe object.

    View point is lookingfrom the right (or left)of the object.

    Visual on Isometric Project vs.

    Isometric Drawing

    Isometric projection & Isometric drawing Isometric projection: drawn at scale of 0.816 Isometric drawing: drawn at full scale

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    Distance in Isometric Drawing

    Isometric l ine is the line that run parallel to

    any of the isometric axes.

    Isometric axes

    True-length distances are shown alongisometric lines.

    Nonisometric lines

    Non-isometric lines

    Non-isometric lines are the lines that are not parallel to anyof the iso-lines.

    They are drawn by transferring the distance of X or Y from

    multiview to iso-view, not the actual length itself.

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    Isometric and Non-Isometric Lines and Planes

    Isometric Planes

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    Hidden Lines in Isometric

    Otherwise- Hiddenlines are NOTshown in IsometricDrawings. It isrepresented as asolid looking object!

    With isometric, remember

    30, 30, Vertical

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    Boxing-In Method for Creating

    Isometric Drawings

    Determine the Isometric viewpoint that clearlydepicts the features of the object, then draw theisometric axes that will produce that viewpoint

    Construct isometric planes using overall Height(H), Length (L), and Depth (D) of the object sothat the object will be contained inside the box

    Locate Details on the isometric planes

    Darken in all visible lines and eliminate hidden

    lines unless absolutely necessary to show them

    STEPS

    1. Positioning object.

    2. Select isometric axis.

    3. Sketch enclosing box.

    4. Add details.

    5. Darken visible lines.

    Sketch from an actual object

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    1. Positioning object.

    2. Select isometric axis.

    3. Sketch enclosingbox.

    4. Add details.

    Note In isometric sketch/drawing), hidden lines are omitted

    unless they are absolutely necessary to completely

    describe the object.

    Sketch from an actual object

    STEPS

    5. Darken visible lines.

    1. Interprete the meaning oflines/areas in

    multiview drawing.

    2. Locate the lines or surfaces relative to isometric

    axis.

    Sketch from multiview drawing

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    Front View

    Top View

    Side View

    Example 1 : Object has only normal surfaces

    Bottom View

    Bottom

    Front

    Side

    Side

    Front

    Top

    Regular

    Reverse

    WD

    H

    H

    DW

    Example 2 : Object has inclined surfaces

    W

    H

    D

    y

    x Front View

    y

    x

    Nonisometric line

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    Nonisometric line

    A

    A x

    y

    x

    xB

    B

    AB

    C

    C

    C

    x

    y

    Example 3 : Object has inclined surfaces

    A

    A

    B

    B

    C D

    E

    D

    EF

    F

    x

    y

    Front View

    Regular

    C

    Example 4

    Reverse

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    Steps in Creating an Isometric Sketch

    ! !

    Constructing

    a Drawing Having

    Non-Isometric Lines

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    ConstructingDrawings with

    an Oblique

    Surface

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    Locating Points or Irregular Shape

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    Draw a square whosesides are the diameter

    of the circle.

    At the center of eachside define the point

    of tangency for the

    circle.

    Draw the diagonals ofthe square.

    Orient the paper soyou can draw equal

    arcs to construct the

    circle

    Sketching a Circle

    Isometric Representation of Circles

    NO!!!

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    Circle & Arc in IsometricIn isometric drawing, a circle appears as an ellipse.

    2. Construct an isometric square.

    3. Sketch arcs that connect the

    tangent points.

    Sketching Steps

    1. Locate the center of an ellipse.

    Circle & Arc in Isometric

    3. Construct a perpendicular

    bisector from each tangent point.4. Locate the four centers.

    5. Draw the arcs with these centers

    and tangent to isometric square.

    Sketching Steps

    Four-centermethod is usually used when drawn an

    isometric ellipse with drawing instrument.

    2. Construct an isometric square.

    1. Locate the center of an ellipse.

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    Sketching an Isometric Ellipse

    ! !

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    Creating IsometricCylindrical Features

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    Creating Partial Isometric

    Cylindrical Features

    Irregular Curve in Isometric

    1. Construct points along the

    curve in multiview drawing.

    2. Locate these points in the

    isometric view.

    3. Sketch the connecting lines.

    Steps

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    True EllipseMethod

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    Example 5

    Al though isometr ic drawingis not intended to

    transmit dimension,

    sometimes dimensions are

    placed to indicate the size.

    Isometric dimensions

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