Development of Transition Pieces - Revision history

DT Online at 07:44, 19 August 2017

2017-08-19T07:44:59Z

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	* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece''',		* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece''',
	* Divide the circle into, say, 12 equal points ''(<span style="color: green">Note : in this case, the distances in '''Plan View''' between these points and the sides of the square are all '''True Views'''</span>)'',		* Divide the circle into, say, 12 equal points ''(<span style="color: green">Note : in this case, the distances in '''Plan View''' around the circle between these points; and the lengths of the sides of the square are all '''True Views''' because neither the circle nor the square are tilted in any way - i.e they both lie in the horizontal plane</span>)''.
	* Join the corners of the square to the relevant points around the circle ''(<span style="color: green">Note : none of these are '''True Views''' because they are angled either away from or towards you</span>)'',		* Join the corners of the square to the relevant points around the circle ''(<span style="color: green">Note : none of these are '''True Views''' because they are angled either away from or towards you</span>)'',
	* Number all points carefully,		* Number all points carefully,

DT Online at 17:35, 4 June 2017

2017-06-04T17:35:36Z

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DT Online at 17:34, 4 June 2017

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	=====Description=====		=====Description=====

	'''Transition Pieces''' are usually made to connect two different shaped objects ''(e.g. round pipes to square pipes)'' as often found in [https://en.wikipedia.org/wiki/Duct_(flow)#Take-offs '''Ducting'''] for [https://en.wikipedia.org/wiki/Air_conditioning '''Air Conditioning'''] or [https://en.wikipedia.org/wiki/Dust_collection_system '''Dust'''] and [https://en.wikipedia.org/wiki/Exhaust_hood '''Fume Extraction'''] systems. The '''[[Nets and Developments\|Development]]''' is constructed by assuming the surface to be made from a series of triangular surfaces laid side-by-side. This technique is known as [https://en.wikipedia.org/wiki/Triangulation '''Triangulation''']		'''Transition Pieces''' are usually made to connect two different shaped objects ''(e.g. round pipes to square pipes)'' as often found in [https://en.wikipedia.org/wiki/Duct_(flow)#Take-offs '''Ducting'''] for [https://en.wikipedia.org/wiki/Air_conditioning '''Air Conditioning'''] or [https://en.wikipedia.org/wiki/Dust_collection_system '''Dust'''] and [https://en.wikipedia.org/wiki/Exhaust_hood '''Fume Extraction'''] systems. The '''[[Nets and Developments\|Development]]''' is constructed by assuming the surface to be made from a series of triangular surfaces laid side-by-side. This technique is known commonly as [https://en.wikipedia.org/wiki/Triangulation '''Triangulation'''] and more specifically as [https://en.wikipedia.org/wiki/Trilateration '''Trilateration'''].
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	=====General Method of Construction for Transition Pieces=====		=====General Method of Construction for Transition Pieces=====

			A similar procedure can be used to determine the '''[[Nets and Developments\|Developments]]''' for other '''Transition Pieces''' ''(e.g. '''Rectangular to Round, Octagon or Hexagon''')''; for those where the two main axes are offset; and for situations where one pipe is set at an angle to the other.

	* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece'''		* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece'''

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2017-06-04T14:22:41Z

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[[File:TransitionPieces.png|250px|right]]
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=====Description=====

'''Transition Pieces''' are usually made to connect two different shaped objects ''(e.g. round pipes to square pipes)'' as often found in [https://en.wikipedia.org/wiki/Duct_(flow)#Take-offs '''Ducting'''] for [https://en.wikipedia.org/wiki/Air_conditioning '''Air Conditioning'''] or [https://en.wikipedia.org/wiki/Dust_collection_system '''Dust'''] and [https://en.wikipedia.org/wiki/Exhaust_hood '''Fume Extraction'''] systems. The '''[[Nets and Developments|Development]]''' is constructed by assuming the surface to be made from a series of triangular surfaces laid side-by-side. This technique is known as [https://en.wikipedia.org/wiki/Triangulation '''Triangulation''']
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=====Construction for a Square to Round Transition Piece=====
[[File:Transformer1.png|500px|right]]
[[File:Transformer2.png|500px|right]]

Consider the example of a '''Square to Round Transition Piece''' with both '''Axes''' directly in line with each other.

* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece''',
* Divide the circle into, say, 12 equal points ''(<span style="color: green">Note : in this case, the distances in '''Plan View''' between these points and the sides of the square are all '''True Views'''</span>)'',
* Join the corners of the square to the relevant points around the circle ''(<span style="color: green">Note : none of these are '''True Views''' because they are angled either away from or towards you</span>)'',
* Number all points carefully,
* Use '''[[Dividers and Compasses|Dividers]]''' to transfer the lengths of the joining lines on to a horizontal line as shown ''(<span style="color: green">Note : in this case there are only two lines different in length</span>)'',
* Using the '''Transition Piece''' elevation as height and the joining line lengths in '''Plan''' as base, draw the hypotenuse to find '''True Lengths''',
* Work around the '''Plan View''' and use '''True Lengths''' to construct triangles as follows:
** Draw a line to the length of side '''A-D'''
** Set '''[[Dividers and Compasses|Compasses]]''' to the '''True Lengths''' of '''A-9''' and '''D-9''' and strike arcs from each end of '''A-D''' to create the '''Isosceles Triangle''' '''A-D-9''',
** Similarly strike arcs equal to '''True Length''' '''D-10''' and circle division '''9-10''' to find point '''10'''.
* Repeat the process, paying careful attention to the point numbering, to construct the full '''[[Nets and Developments|Development]]'''.

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=====General Method of Construction for Transition Pieces=====

* Draw '''Plan''' and '''Elevation''' of the required '''Transition Piece'''
* Identify convenient points around the perimeter of each shape to be joined ''(e.g. corners of polygons or equidistant points plotted around the circumference of a circle)''
* Note which lines are perpendicular to the viewer ''(and therefore '''True Views''' with '''True Lengths''')'' and which are not ''(i.e. because they are sloping away from you or towards you)''.
* If necessary ''(e.g. if the axis one pipe is set at an angle to the other)'', construct an '''Auxiliary View''' to establish '''True Lengths''' around the perimeters of both shapes to be joined.
* Carefully number all lines joining the two shapes together and note any equalities to avoid unnecessary work later.
* Proceed as for the '''Square to Round''' example above to find '''True Lengths''' of lines joining the two shapes together ''(i.e. plot their '''Lengths in Plan''' against their '''Heights in Elevation''')''.
* Use the '''True Lengths''' to plot by [https://en.wikipedia.org/wiki/Triangulation '''Triangulation'''] all points on the required '''[[Nets and Developments|Development]]'''.

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[[Category:Secondary]]
[[Category:Geometry]]
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