Examples on Interpenetration of solids
Interpenetration of solids
The following cases are solved. refer illustration and note the common construction for all
- Cylinder to cylinder 2.
- Sq.prism to cylinder
- Cone to cylinder
- Triangular prism to cylinder
- Sq.prism to sq.prism
- Sq.prism to sq.prism(skew position)
- Square prism to cone (from top )
- Cylinder to cone
Common solution steps
One solid will be standing on HP other will penetrate horizontally. Draw three views of standing solid. name views as per the illustrations. Beginning with side view draw three views of penetrating solids also. On its S.V. mark number of points and name those (either letters or nos.) The points which are on standard generators or edges of standing solid, (In S.V.) can be marked on respective generators in FV and TV and other points from SV should be brought to TV first and then projecting upward to FV.
The dark and dotted line's decision should be taken by observing the side view from its right side as shown by the arrow. Accordingly those should be joined by curvature or straight lines.
Note:- Incase cone is penetrating a solid view is not necessary. Similarly in case of penetration from the top it is not required.
1] A cylinder 50 mm dia. and 70 mm axis is completely penetrated by another of 40 mm dia. and 70 mm axis horizontally Both axes intersect & bisect each other. Draw projections showing curves of intersections.
Case 1. Cylinder standing & Cylinder penetrating
2 ] A cylinder 50 mm and 70 mm axis is completely penetrated by a square prism of 25 mm sides and 70 mm axis, horizontally. Both axes intersect & bisect each other. All faces of the prism are equally inclined to HP. Draw projections showing curves of intersections.
Case 2. Cylinder standing & Sq. prism penetrating
3 ] A cylinder of 80 mm diameter and 100 mm axis is completely penetrated by a cone of 80 mm diameter and 120 mm long axis Horizontally. Both axes intersect & bisect each other. Draw projections showing curve of intersections.
Case 3. Cylinder standing & cone penetrating
4 ] A sq.prism 30 mm base sides. and 70 mm axis is completely penetrated by another square prism of 25 mm sides. and 70 mm axis, horizontally. Both axes Intersects & bisect each other. All faces of prisms are equally inclined to VP. Draw projections showing curves of intersections.
Case 4. Sq. prism standing & Sq. prism penetrating
5 ] A cylinder 50 mm dia. and 70 mm axis is completely penetrated by a triangular prism of 45 mm sides. and 70 mm axis, horizontally. One flat face of the prism is parallel to VP and contains the axis of a cylinder. Draw projections showing curves of intersections.
Case 5. Cylinder standing & Triangular prism penetrating
6 ] An sq. prism 30 mm base sides and 70 mm axis is completely penetrated by another square prism of 25 mm side s and 70 mm axis, horizontally. Both axes intersect & bisect each other. Two faces of penetrating prism are 30º inclined to HP. Draw projections showing curves of intersections.
Case 6. Sq. prism standing & Sq. prism penetrating ( 30º skew Position )
7 ] A cone 70 mm base diameter and 90 mm axis is completely penetrated by a square prism from top with its axis || to cone's axis and 5 mm away from it. A vertical plane containing both axes is parallel to VP. take all faces of sq. prism equally inclined to VP. The base side of the prism is 0 mm and the axis is 100 mm long. Draw projections showing curves of intersections.
Case 7. Cone standing & Sq. prism penetrating (Both axes vertical)
8 ] A vertical cone, base diameter 75 mm and axis 100 mm long, is completed by a cylinder of 45 mm diameter. The axis of the cylinder is parallel to HP and VP and intersects the axis of the cone at a point 28 mm above the base. Draw projections showing curves of intersection.
Case 8. Cone standing & Cylinder Penetrating
