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  • Basic Technical Drafting - Auxiliary Views and Revolutions 1

    Auxiliary Views and Revolutions -

    Sacramento City College

    Engineering Design Technology

  • 2 Basic Technical Drafting - Auxiliary Views and Revolutions

    Pictorial Drawing

    Objects are generally described with three Normal Views (orthographic views):

    Front view.

    Top view.

    Right Side view.

  • 3 Basic Technical Drafting - Auxiliary Views and Revolutions

    Pictorial Drawing

    As long as the object has surfaces that align with one of the principal planes, the Normal views are sufficient.

    Front view.

    Top view.

    Right Side view.

  • 4 Basic Technical Drafting - Auxiliary Views and Revolutions

    Pictorial Drawing

    For objects with inclined surfaces, such as the separator, the three Normal Views are not sufficient!

    For objects with inclined surfaces, the three Normal Views are:

    Hard to draw.

    Show the circles as ellipses.

    Are hard to understand.

  • 5 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    When an object has an inclined surface, none of the regular views show the inclined part in its true size and shape.

    Front

    Top

    Right Side

  • 6 Basic Technical Drafting - Auxiliary Views and Revolutions

    Inclined surface

  • 7 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    ONLY a View on a plane parallel to the inclined surface shows the true size and shape.

    An Auxiliary View is used to show the true size and shape of an object that has surfaces that are not parallel to a principal plane.

  • 8 Basic Technical Drafting - Auxiliary Views and Revolutions

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  • Basic Technical Drafting - Auxiliary Views and Revolutions 10

    Auxiliary Views

  • 11 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    An auxiliary view is a projection on an auxiliary plane that is parallel to an inclined surface.

    See Figure 7-3.

    Auxiliary views provide a clear, undistorted image of the inclined surface on an object.

  • 12 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 13 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary View

    The auxiliary view looks directly at the inclined surface in a direction that is perpendicular to the surface.

    See Figure 7-4a, 7-4b and 7-4c.

  • 14 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-3a

  • 15 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-3b

  • 16 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-3c

  • 17 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-3d

    Hinge

    Point

  • 18 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-4a

  • 19 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-4b

  • 20 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary View

    Figure 7-4C completely describes the object and only two views are required.

    Front view

    Auxiliary view

  • 21 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-4c

  • 22 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    Auxiliary views are classified according to which of the three regular planes from which they are developed.

  • 23 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    Three auxiliary views exist

    Front View

    Top View

    Right Side View

    Each is developed by projecting as a primary reference the

    Height

    Width

    Depth

    obtained from a normal view.

  • 24 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-5a

  • 25 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-5b

  • 26 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-5c

  • 27 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    1. Front Auxiliary View

    When an auxiliary view is hinged on the Front View, the view is known as the Front Auxiliary View.

    The primary reference of the front auxiliary view is depth.

    See Figure 7-6A.

  • 28 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-6a

  • 29 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    2. Top Auxiliary View

    When an auxiliary view is hinged on the Top View, the view is known as the Top Auxiliary View.

    The primary reference of the top auxiliary view is the height of the object.

    See Figure 7-6B.

  • 30 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-6b

  • 31 Basic Technical Drafting - Auxiliary Views and Revolutions

    Auxiliary Views

    3. Right Side Auxiliary View

    When an auxiliary view is hinged on the Right Side View, the view is known as the Right Side Auxiliary View.

    The primary reference of the right side auxiliary view is the width of the object.

    See Figure 7-6C.

  • 32 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-6c

  • 33 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    To construct any primary auxiliary view

    1. Examine the normal views and look for the view that has the inclined surface.

  • 34 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    2. Find the view that shows the edge view of the inclined plane.

    The plane associated with this view is the reference plane, from which the auxiliary plane will be developed.

  • 35 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    3. In this view, draw a light construction line at right angles to the inclined surface.

    This line is the line of sight.

    This line is the hinge.

  • 36 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    4. Think of the auxiliary plane as being attached by hinges to the view from which it is developed.

  • 37 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 38 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    5. From all important points on the reference view, draw projection lines at right angles to the inclined surface.

  • 39 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    6. Draw a reference line parallel to the edge view of the inclined surface.

  • 40 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    7. Transfer the depth dimension to the reference line.

  • 41 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 42 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    8. Project the important points and connect them in sequence to form the auxiliary view.

  • Basic Technical Drafting - Auxiliary Views and Revolutions 43

    Auxiliary Views

    Symmetrical Objects

  • 44 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    For symmetrical objects, the center-plane method is used.

    Refer to Figure 7-8.

    Procedure Steps:

    1. Use a center plane as a reference plane.

  • 45 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    2. Find the edge view of the inclined plane.

    In Figure 7-8, the edge view of this plane appears as a centerline, XY, on the top view.

  • 46 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    3. Label the points on the Top View for reference.

  • 47 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    4. Transfer these points on the edge view of the inclined surface on the Front View.

  • 48 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    5. Parallel to this edge view and at a convenient distance from it, draw the line X Y.

  • 49 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    6. In the Top View, find the distances from the numbered points to the centerline.

    These are the depth measurements.

    Transfer them onto the corresponding construction lines which you just drew.

    Measure them off on either side of line X Y

    The result will be a set of points on the construction lines.

  • 50 Basic Technical Drafting - Auxiliary Views and Revolutions

    Constructing an Auxiliary View

    7. Connect and number the points on the construction lines to finish the Front Auxiliary View of the inclined surface.

  • 51 Basic Technical Drafting - Auxiliary Views and Revolutions

    Example:

    Figure 7-31

    Page 228

  • 52 Basic Technical Drafting - Auxiliary Views and Revolutions

    Assignment:

    Figure 7-55

    Page 230

  • 53 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 54 Basic Technical Drafting - Auxiliary Views and Revolutions

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  • 56 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 57 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 58 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 59 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 60 Basic Technical Drafting - Auxiliary Views and Revolutions

  • 61 Basic Technical Drafting - Auxiliary Views and Revolutions

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  • 63 Basic Technical Drafting - Auxiliary Views and Revolutions

  • Basic Technical Drafting - Auxiliary Views and Revolutions 64

    Revolutions

    Page 218

  • 65 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolutions

    When the true size and shape of an inclined surface do not show on a drawing, we can make an auxiliary view to find true lengths.

    Use new reference planes to look at objects from new directions.

  • 66 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolutions

    Another solution is to revolve (turn) the object.

    The resulting drawing is called a Revolution.

  • 67 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Axis of Revolution

    In a revolution, use the regular reference planes X, Y and Z.

    The Axis of Revolution

    Imaging the object has been revolved to an angle that makes the principal features parallel to these planes.

  • 68 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Axis of Revolution

    To revolve the object:

    Imagine that a shaft or an axis has been passed through it.

    This imaginary axis is perpendicular to one of the three principal planes.

  • 69 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 70 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Axis of Revolution

    Refer to Figure 7-16.

    The axis the object is revolved around is called the axis of revolution.

  • 71 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 72 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Axis of Revolution

    Refer to Figure 7-16.

    The axis the object is revolved around is called the axis of revolution.

  • 73 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 74 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Axis of Revolution

    An object can be revolved

    to the right (clockwise)

    to the left (counterclockwise)

    about an axis perpendicular to either the vertical or the horizontal plane.

    See Figure 7-16.

  • 75 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 76 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 77 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-16

  • 78 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Rule of Revolution

    The Rule of Revolution has two parts:

    1. The view that is perpendicular to the axis of revolution stays the same except in position.

  • 79 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-17

  • 80 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-17

  • 81 Basic Technical Drafting - Auxiliary Views and Revolutions

    The Rule of Revolution

    The Rule of Revolution has two parts:

    2. Distances parallel to the axis of revolution stay the same.

    Refer to Figure 7-17.

  • 82 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-17

  • Basic Technical Drafting - Auxiliary Views and Revolutions 83

    Revolution About An Axis

    Perpendicular to the Vertical Plane

  • 84 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    Refer to Figure 7-18A.

    The revolution axis is perpendicular to the vertical plane.

    The front view is the same in size and shape.

    The front view has a new position.

  • 85 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-18a

  • 86 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    The front and top views are shown in their normal positions.

  • 87 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    The new front view is then shown, after the object has been revolved 45 degrees counter clockwise about an axis perpendicular to the vertical plane.

  • 88 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    The new front view is the same in size and shape, except that it has a new position.

  • 89 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    The new top view has been made by

    Projecting up from the new front view and

    Projecting across from the old top view.

  • 90 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Vertical Plane

    The depth remains the same from one top view to another.

  • Basic Technical Drafting - Auxiliary Views and Revolutions 91

    Revolution About An Axis

    Perpendicular to the Horizontal

    Plane

  • 92 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    Refer to Figure 7-18B.

    The revolution axis is perpendicular to the horizontal plane.

    The top view is the same in size and shape.

    The top view has a new position.

  • 93 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    The front and top views are shown in their normal positions.

  • 94 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    The top view is then shown, after the object had been rotated 60 degrees clock wise about an axis perpendicular to the horizontal plane.

  • 95 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    The new top view is the same in size and shape, as the old top view.

  • 96 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    The new right-side view has been made by

    Projecting down from the new top view and

    Projecting across from the old front view.

  • 97 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Horizontal Plane

    The height remains the same from the original front view to the revolved front view.

  • Basic Technical Drafting - Auxiliary Views and Revolutions 98

    Revolution About An Axis

    Perpendicular to the Profile Plane

  • 99 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    Refer to Figure 7-18C.

    The revolution axis is perpendicular to the profile plane.

    The right-side view is the same in size and shape.

    The right-side view has a new position.

  • 100 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    The front and right-side views are shown in their normal positions.

  • 101 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    The right-side view is the same in size and shape, except that it has a new position.

  • 102 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    The new right-side view has been made by

    Projecting down from the top view and

    Projecting across from the new front view.

  • 103 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    Note that the width remains the same from one front view to the other.

  • 104 Basic Technical Drafting - Auxiliary Views and Revolutions

    Revolution - Axis Perp to Profile Plane

    The depth remains the same from one top view to another.

  • Basic Technical Drafting - Auxiliary Views and Revolutions 105

    Revolving an Object About the

    Horizontal Axis

  • 106 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-19

  • Basic Technical Drafting - Auxiliary Views and Revolutions 107

    Revolving an Object About A

    Vertical Axis

  • 108 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-20

  • Basic Technical Drafting - Auxiliary Views and Revolutions 109

    Revolving an Object Through a 45

    Degree Angle

  • 110 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-21

  • Basic Technical Drafting - Auxiliary Views and Revolutions 111

    Partially Revolved Views

  • 112 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-22

  • Basic Technical Drafting - Auxiliary Views and Revolutions 113

    Successive Revolutions

  • 114 Basic Technical Drafting - Auxiliary Views and Revolutions

    Successive Revolutions

    After an object is revolved about an axis perpendicular to one plane, it can be revolved again about an axis perpendicular to another plane.

    This process is called successive revolutions.

  • 115 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-23

  • Basic Technical Drafting - Auxiliary Views and Revolutions 116

    Industrial Applications

  • 117 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-24

  • 118 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-24

  • Basic Technical Drafting - Auxiliary Views and Revolutions 119

    True Size and Shape

  • 120 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Size and Shape

    The true size of an inclined surface can be shown by:

    An auxiliary view. The observer changes position.

    OR

    A revolved view. The object changes position.

  • 121 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Size and Shape

    In a revolved view:

    The inclined surface is turned until it is parallel to one of the principal planes.

    It is as if the object has changed position.

  • 122 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Size and Shape

    In the auxiliary view:

    The observer has changed position to look at the object from a new direction.

  • Basic Technical Drafting - Auxiliary Views and Revolutions 123

    True Shape of an Oblique Plane

  • 124 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Shape of an Oblique Plane

    A surface shows its true shape when it is parallel to a plane.

    Successive revolutions can be used to find the true shape of a surface.

  • 125 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Length of A Line

    Since an auxiliary view shows the true size and shape of an inclined surface, it can be used to find the true length of a line.

    Refer to Figure 7-29.

  • 126 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Shape of an Oblique Plane

    In D, the oblique plane 1-2-3-4 is shown.

    It is oblique because it is inclined to all three of the normal planes.

  • 127 Basic Technical Drafting - Auxiliary Views and Revolutions

    Figure 7-29

  • 128 Basic Technical Drafting - Auxiliary Views and Revolutions

    True Length of A Line

    You can revolve a line in any view to make it parallel to any one of the three principal planes.

    Projecting the line on the plane to which it is parallel shows its true length.

    Refer to Figure 7-30 F, G, H.

  • 129 Basic Technical Drafting - Auxiliary Views and Revolutions

  • Basic Technical Drafting - Auxiliary Views and Revolutions 130

    Single Revolution

  • 131 Basic Technical Drafting - Auxiliary Views and Revolutions

    Single Revolution

    An axis of revolution can be perpendicular to the vertical, horizontal or profile plane.

  • 132 Basic Technical Drafting - Auxiliary Views and Revolutions

    Summary

    Use either the Auxiliary View or the Revolved View to find true length lines.

    In the auxiliary view, it is as if the observer changed positions.

    In the revolved view, it is as if the object changed positions.

  • 133 Basic Technical Drafting - Auxiliary Views and Revolutions