Intersection of Plane with Cone/Cylinderusers.encs.concordia.ca/~nrskumar/Index_files/Mech211/Full Lecture... · cylinder, right cone ... Intersection of two Prisms The CP is chosen

Intersection of Plane with Cone/Cylinder








Intersection of two Prisms

















ENGINEERING GRAPHICS

MECH 211

LECTURE #8

• Developments – every line in a development is a TL

• Revolution method

• Box, right prism, right pyramid, right

cylinder, right cone

• Parallel Line Method

• Development of a right/oblique prism

• Development of a right/oblique cylinder

Content of the Lecture

• Radial Line Method

• Development of a right/oblique pyramid

• Development of oblique cone

• Triangulation method

• Development of transition parts

Content of the Lecture

TL of a Line – Revolution Method




Developments

• Development is unfolding or unrolling a

3D surface into a plane surface

• Single curved and surfaces of polyhedrons

can be developed

• Warped and double curved surfaces can be

developed only approximately

• Large practical applications

Developments

box, right prism, right pyramid, right cylinder, right cone

Developments

Parallel Line Method

• Development of Right Prism

• Development of Oblique Prism

• Development of Right Cylinder

• Development of Oblique Cylinder

Development of right prism





Development of oblique prism





Development of right cylinder






Development of oblique cylinder







Radial Line Method

• Development of Right Truncated Cone

• Development of Oblique Truncated Cone

Development of right (Truncated) cone








Development of oblique (Truncated) cone Triangulation Method














Development - intersecting cylinders














Triangulation Method

• Development of Transition Parts

• Since the connecting surface is neither a pyramid or a prism previous methods of development cannot be employed here.

• In such cases the various plane surfaces can be divided into triangular areas and each triangle can be laid down in the development as soon as the TL of each of its sides has been determined

Development - transition parts

















Cutting plane

method

The problem

shows one

vertical and one

inclined prism,

we must find

the intersection

figures


The CP is chosen

across one edge

RS of the prism

This plane cuts the

lower surface at VT,

and the other prism

at AB and CD

The 4 points WZYX

line in both the

prisms and also on

the cutting plane

These are the points

of intersection

required


The cutting plane

shown in multi

view projection.

The visibility of

the points are

seen in the 3D


Total number of

cutting planes

required is 6 and

locate the

intersection

points from the

cutting planes

and locate the

points in the front

view


The points are

connected in the

front view based

on the visibility

and sequence


Developments

• In sheet metal layout, extra material must be provided for laps or seams

• If material is thick, bend allowance (BA) must be considered

• BA = (0.017453R + 0.0078T)N

• R = radius of bend; T = Thickness of material; N degree of bend

• Neutral axis C is assumed to be 0.44 T

from inside of the bend

Documents

Intersection of Plane with Cone/Cylinderusers.encs.concordia.ca/~nrskumar/Index_files/Mech211/Full Lecture... · cylinder, right cone ... Intersection of two Prisms The CP is chosen