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Technical Drawing - Interpenetration - Square into SquareIn this the first section where we are looking at the
Interpenetration of actual solids we will examine the simple
exercise of finding the lines of Interpenetration between two
square based prisms. Below you can see the setup drawing
for this problem.
![]() You can draw this yourself if you wish
but you will have to come up with your own
dimensions. To the left in grey there is a section
view of the smaller square based prism which is
penetrating the larger square based prism. We need
this to help us rotate the Plan view into the Elevation
view and maintain the correct dimensions. (You
could just use measurements in the Elevation but it is
good practice to do it as above as you will need this
skill later where measurements will not work so easily.)
![]() You can see the labelling that we have
used here in this drawing and why we have used the
section of the smaller square based prism to provide our
Elevation drawing. Remember to draw the lines
lightly at this stage. As you can see there is no
need to label every corner of the prisms, just so long
as we can recognise the edges.
![]() It is obvious where the edges 1 and 3 of
the small prism intersect with edge a of the larger
prism and these are points we can use to start
with. In the Plan you can see where edge 2 of the
small prism intersects with the surface ab of the large
prism. Project this point into the Elevation to
find the point of intersection there. You will
also notice that edge 4 of the small prism intersects
the surface ad of the large prism along the same
construction line. You can now draw in the lines
of Interpenetration in the Elevation. Draw the
lines folowing the section view, edge 1 joins to edge 2,
joins to edge 3, joins to edge 4, and back to edge 1
again. You can only see the lines of
Interpenetration joining edges 1, 2 and 3.
![]() Line out your drawing and it should look
like the drawing above.
Introduction
Line Penetration Solid Penetration Square into Square Penetration Offset Square into Square Penetration Flat Surface Problems |
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