Wood
Model
To design a parabola I recommend a very simple drawing tool which is able to construct any parabolic curve with ease:
Drawing Tool (click on the pictures to enlarge
them) Usage of the Tool
it is a right angle ruler made of wood which can be used for many other
purposes as well. At the top of the T-shaped device a string of variable
length can be fixed. The string should be made from non elastic material
like nylon which does not expand when stressed. The free end of the string
holds a little ring or washer.
When put on a table or platewood board the lower horizontal part is
pressed against the edge of the table so that the vertical part is always
in a right angle to the edge while the tool may slide along the edge line.
Let's take a platewood board with a straight edge at the base and let's
press the T-shaped tool now on the platewood edge, so that the vertical
part marks the axis of the parabola passing through the focal point. Mark
the focal point with a nail or screw on this axis in a distance to the
baseline (edge of the board) equal to the focal distance of the parabola
to be constructed.
Hook the string with the ring over the screw a the focal point and
place the string along the tolls vertical edge down to the baseline around
the tip of a pencil which will later draw the parabola and up along the
same edge to the top of the T-tool. Fix the string at the top of the tool
so that the string is stiff stretched in this shape. Now sliding the tool
to the right and following with the pencils tip the vertical ruler at the
T-tool while keeping the string stressed will draw a parabola with the
focal distance equal to the distance between the focal point and the start
point of the pencils tip. (see pictures below)
click on the pictures to enlarge them.
In this example the focal distance has been chosen to be 270 mm (which is the value for the AMSI cooker and the SK14 and K14 cooker of EG-SOLAR). The other measures marked on the board are not needed to draw the parabola curve, but give the positions of the cage rings for the SK14 cooker and thereby proof that this tool works perfect!
To make the string visible, a blue wool string is used and the pens tip is replaced by a red pin. To draw the curve the wool string should be replaced by something inextendable like a nylon string (e.g. 0,5 mm as used for sea fishing).
It is maybe interesting to mention that string in any drawing position represents as well a ray coming from the sun parallel to the parabola's axis, hitting the parabola mirror and being reflected to the focal point! (Nice! Isn't it?)
If you cut out two pieces of platewood as shown below and put them crosswise together the wood model is ready which can be used as kind of scaffolding and support for the mirror's cage during construction:
The positions where to place the rings are marked by little black triangles. A gap with the same width as the thickness of the plate is cut out along the parabolas axis from the bottom to the mid at one piece and from the top to the middle at the second piece so that the two pieces fit together in a stable position as shown above without glue (see construction manual section 2.2.2, Figure 3). The model can be taken apart again for storage without effort.
click on the pictures to enlarge them.
Now after making exact rings of sizes as described in the construction manual (section 2.3.3) they can be placed on the wood model and the connection bars can be bend in a way they touch all the rings without stress before fixing them with wire and welding the cage. The nice thing is that even if a ring is slightly larger or smaller the cage will be still perfectly parabolic.
Using a model with eight instead of four 'wings' may be used if the cage should be made from bamboo as a parabolic basket, if reinforcement bars for concrete are too expensive or not available.