Geometric and Engineering Drawing by Morling Ken;Danjou Stéphane; & Stéphane Danjou

Author:Morling, Ken;Danjou, Stéphane; & Stéphane Danjou
Language: eng
Format: epub
Publisher: CRC Press LLC
Published: 2022-10-15T00:00:00+00:00

5.4.1 Prisms

Figure 5.49 shows how a square prism is unfolded and its development obtained.

Note that where there are corners in the undeveloped solid, these are shown as dotted lines in the development.

To develop a hexagonal prism with oblique ends (Figure 5.50).

The height of each corner of the development is found by projecting directly from the orthographic view.

Figure 5.49 Developing a square prism.

Figure 5.50 Developing a hexagonal prism.

The shapes of the top and the bottom are found by projecting the true shapes of the oblique faces. The top has been found by conventional means. The true shape is projected from the elevation and transferred to the development.

The true shape of the bottom of the prism has been drawn directly on the development without projecting the true shape from the elevation. The corner between lines 2 and 3 has been produced until it meets the projectors from corners 1 and 4. The produced line is then turned through 90° and the width, 2A, marked on.

The development of intersecting square and hexagonal prisms meeting at right angles (Figure 5.51).

First an orthographic drawing is made and the line of interpenetration is plotted. The development of the hexagonal prism is projected directly from the FE and the development of the square prism is projected directly from the plan.

Projecting from the orthographic views provides much of the information required to develop the prisms; any other information can be found on one of the orthographic views and transferred to the developments. In this case, dimensions A, b, C and d have not been projected but have been transferred with dividers.

The development of intersecting hexagonal and octagonal prisms meeting at an angle (Figure 5.52).

Figure 5.51 Developing intersecting square and hexagonal prisms meeting at right angles.

Figure 5.52 Developing intersecting hexagonal and octagonal prisms meeting at an angle.

The method of developing these prisms is identical to that used in the previous example. This example is more complicated but the developments are still projected from one of the orthographic views, and any information that is not projected across can be found on the orthographic views and transferred to the development. In this case, dimensions A, b, c, D, etc., have not been projected but have been transferred with dividers.

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