Hexagonal Pyramid cut at an angle #1

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Presentation transcript:

Hexagonal Pyramid cut at an angle #1 Drawing Abilities Teacher Hexagonal Pyramid cut at an angle #1 © J Lewis 2004

Orthographic projection The complete Elevation and partial Plan of a hexagonal pyramid are given below The pyramid is cut by plane AB and the upper section is removed Number the six edges on the Elevation and Plan as shown © J Lewis 2004

Drawing construction lines Draw vertical construction lines from the Elevation to the Plan. The points projected are those where the edges are cut by the plane AB. Where the construction lines cross the same numbered edges on the Plan, points for the Plan are obtained. Elevation of the pyramid before cutting © J Lewis 2004

Completing the Plan view Join the points as shown Plan view after cutting © J Lewis 2004

Starting the End Elevation Construct the outline of the End Elevation. Edge 5 is at the front and the construction lines are as shown Take care that the Elevation shows 3 sides but the End Elevation shows 2 End Elevation – 2 sides ! © J Lewis 2004

Starting the End Elevation Draw the horizontal construction lines from the plane AB to the End Elevation © J Lewis 2004

Completing the End Elevation Join the points as shown – note that where a line is cut in one view, it is cut in the same place in every other view. Elevation End Elevation © J Lewis 2004

Drawing the True Shape Draw construction lines at right angles to the cut surface – this gives the True Length for the surface Draw a Datum line parallel to AB as shown © J Lewis 2004

Drawing the True Shape Draw lines, as shown, which are the same length as 1-3 and 6-4 on the End Elevation © J Lewis 2004

Drawing the True Shape Join the points to generate the True Shape This is the view with the cut surface at right angles to the direction of viewing © J Lewis 2004

Surface Development Mark the various heights on to the right hand edge which is a True Length of side. © J Lewis 2004

Surface Development Redraw the True Length line from the last slide as shown Draw an arc of this radius Step off the 6 sides of the base as seen on the Plan around the arc © J Lewis 2004

Surface Development Swing the various heights from the True Length line on to their respective edges © J Lewis 2004

Surface Development Construct the points on the correct radius as shown © J Lewis 2004

Finished Surface Development Join the points as shown to complete the Surface Development © J Lewis 2004

Completed drawing © J Lewis 2004