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Note 9 Level 1
          28                       TheStructuralEngineer                              Technical
                                   May 2012                                           Technical Guidance Note
        Visualisation
        of structures
        Introduction                                                                                            ICON                       W Drawing methods
        This Technical Guidance Note focuses on the visualisation of structures.                                LEGEND
        It is essential for structural engineers to be able to express their ideas                                                         W Practical
        clearly through their designs. Visualising structures in the appropriate way                                                         application
        enhances the design process - not least because drawing the complex
                                                                                                                                           W Worked example
        elements of a structure while carrying out calculations, can help to
        identify possible construction issues/problems at an earlier stage than
        may otherwise be possible. This guide explains two techniques that are                                                             W Further reading
        commonly used to draw in three dimensions and thus aid the structural
        engineer in visualising the structures they design.
                                                                                                                                           W Web resources
        All of the guides in this series have an icon based navigation system,
        designed to aid the reader.
                  Drawing
                  methods
        There are many methods for drawing in three
        dimensions and this guide will be focussing on
        two that are commonly used within the field of
        structural engineering.
        Isometric
        Isometric is the most frequently used method
        of drawing in three dimensions. It is based on
        a 30º base angle view. This results in images
        that have all horizontal elements of an object
        drawn at 30º, while the vertical elements
        remain so. See Figure 1.
        While the isometric drawing method does
        produce an image that is to scale, it is actually   Figure 1 Isometric view
        not how the human eye perceives objects. So
        while it is useful for drawing scale images, it
        doesn’t offer much guidance with respect to         object and then projecting that view onto two     human eye perceives objects, it is not to any
        the object’s aesthetics.                            vanishing points. This is done by drawing a       recognisable scale.
                                                            plan of the object and rotating it to the point
        Two Point Perspective                               where the angle of vision is between 30º and
        The two point perspective method of three           60º. This is then projected onto three base
                                                                                                                       Practical
        dimensional drawing is a means by which an          lines; picture, ground and eye. Figure 2 is an
                                                                                                                       application
        object can be represented on a flat plane in a       example of a two point perspective image.
        similar way to how the human eye perceives it.                                                        One of the most common uses of visualisation
                                                            While this does produce an image that             is to ascertain how a connection within a
        It is based on placing an arbitrary view of the     is reasonably representative of how the           structure is to be formed. When designing
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                                                                                                        www.thestructuralengineer.org
                                                                                                                                29
        structures it is important to understand how
        the structure is assembled, and drawing three
        dimensional images of complex connections
        is an essential part of the design process.
        This aids visualisation of the structure and
        can indicate potential clashes with supported
        elements.
        Figure 3 is an elevation of a section of a steel
        truss drawn in a diagrammatic form. While it
        provides key information such as member size
        and location of elements relative to each other,
        it doesn’t show how the diagonal members
        converge onto the bottom chord. Only a three
        dimensional image of the connection will
        provide this information. By way of example,
        Figure 4 is the same section of truss drawn
        in isometric form to show how the internal
        diagonal members frame into the bottom
        chord of the truss drawn in Fig. 3.
                                                             Figure 2 Two Point Perspective
        The construction lines in Figure 4 are the first
        lines drawn of the isometric view. They consist
        of two lines drawn at 30º angles from the
        horizontal and one vertical line where the two
        diagonals cross. In the case of Fig. 4, the soffit
        of the bottom chord flange has been chosen
        as the datum point from which the rest of the
        elements are drawn. Note how the diagonal
        members slightly clip the vertical member as it
        frames into the bottom chord.
                  Glossary and
                  further reading
        Construction lines – The base lines from
        which three dimensional images are created.
        Isometric – A method of drawing in three             Figure 3 Elevation on section of a truss
        dimensions with a base angle set at 30º.
        Two point perspective – A method of
        drawing in three dimensions that replicates
        how the human eye perceives objects.
        Vanishing points – The arbitrary points
        that are placed at the same level to either
        side of an object in two point perspective
        images.
                  Web
                  resources
        For more information on this subject, visit:
        www.istructe.org/resources-centre/library
                                                             Figure 4 Isometric view on
                                                             section of truss shown in Fig. 3
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                                                                  ›
                                                                  Note 9 Level 1
          30                        TheStructuralEngineer         Technical
                                    May 2012                      Technical Guidance Note
                     Worked example
             A diagrammatic plan of a steel column
             is shown in Figure 5. It has a series of
             beams framing into it, one of which is
             supporting a trimming beam. Draw the
             plan out in an isometric view, ignoring
             the connections and member size
             labelling for the sake of clarity. Note that
             the 168.3x10 CHS is a tie beam and its
             centroid matches that of the primary
             beams.
             (a) In the first instance, the base
             construction lines are drawn. These
             consist of two diagonals drawn at 30º
             from the horizontal and one vertical line.
             (b) From these base construction lines,
             the column is initially drawn, followed by
             the primary beams, which are in this case                        Figure 5 Plan on 457x25 CHS column
             the 533x210x101 UBs. The centroid of the
             primary beams and the column is where
             the construction lines are located. Once
             these elements have been outlined, the
             secondary beams are drawn, again in
             outline form. All of this is drawn to scale,
             with the only differentiator being that
             the horizontal elements are drawn at a
             30º angle. Also note how the column is
             circular yet has been drawn as an ellipse
             when viewed in isometric.
             (c) Once the outlines of the elements
             have been drawn, their thicknesses are
             added to the cut off ends. This aids the
             visualisation process, as it is a more         (a)                          (b)
             accurate representation of the column
             and the beams that are framing into it.
             (d) Finally the construction lines are
             removed and we are left with an isometric
             view of the column and all of the beams
             that are framing into it. None of the
             connections are shown nor are the
             dimensions or member sizes for the sake
             of clarity. The base construction lines
             do remain however, to illustrate how the
             image was constructed.
                                                            (c)                          (d)
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