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INTERPENETRATION

INTERPENETRATION. OF SOLIDS. INTERPENETRATION. By definition, is: the intersection of two bodies of similar or different form, resulting in a regular or irregular figure. Can you think of any simple examples? They are evident in everyday life. Two triangular based prisms. (Tetrahedron)

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INTERPENETRATION

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  1. INTERPENETRATION OF SOLIDS

  2. INTERPENETRATION • By definition, is: the intersection of two bodies of similar or different form, resulting in a regular or irregular figure. • Can you think of any simple examples? They are evident in everyday life.

  3. Two triangular based prisms. (Tetrahedron) Can you think any examples of interpenetration in our daily environment?

  4. Interpenetration of two cylindrical objects. • The skewer cuts the sausage centrally to give a similar effect to the two pipes below.

  5. What kind of effect would we get if the cylinders cut each other off centre? >>Visualise and sketch!!

  6. We can see the two surfaces curving to a point as one protrudes through the other. Now we see the effect of them being cut acutely to each other.

  7. What shape will be cut in the ground where the post penetrates the ground surface? Supposing the post was leaning to one side, what would be the resultant shape? Would it be the same? Cylinder and a cut surface

  8. How can we prove that this is the case? • There are two main ways we do this in drawing… • Can you think what they might be?

  9. 1) Take a section, or sectional view. We make a horizontal cut through the solid to give us a true shape, or to enable us to visualise what it looks like at a certain point or level. Horizontal Cuts orSectional Views

  10. Enables us to develop an understanding of its true shape, and in terms of interpenetration, it allows us to see how the object affects another object in its context. Look down or along the object to see its true shape.

  11. These two methods are the medium by which we solve problems on interpenetration. By understanding how it is done in principle provides us with a more complete understanding and appreciation in theory.

  12. Indexing • Is a key principle in drawing, but especially in interpenetration. If a mistake is made it is very difficult to trace if indexing is not used. (see next slide)

  13. This is a typical solution at mid completion. Points need to be located in an auxiliary and transferred back to the orthographic views. You need to be able to follow and read the drawing.

  14. Key Steps • Project the orthographic views neatly and accurately, including true shape of cutting prism at aligned angle, given. • Project an auxiliary elevation to view the face of the cutting prism. • Index auxiliary including where the cutting prism protrudes around the corners of the other prism.

  15. Key Steps 4) Project these points back to find corresponding point in elevation and drop to plan. (indexing) 5) Join points over the surfaces in elevation and plan taking note of which lines can and cannot be seen in different views. 6) Follow same procedure for points which are ‘round the back’.

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