Method of calculating material
need for Canadian smocking for
"Matrix design"
This design contains repetition of 2 columns
of squares marked with diagonals
(shown in pink colour) and one column
which is left blank (Shown in green colour).
Finally ends with 2 columns of squares
marked with diagonals.Tthat means there
should be odd numbers of columns marked
with diagonals separated by Gaps. In other
words first and last columns should be
columns marked with diagonals. Numbers
of repetitions of these three columns
depend upon the size of the cushion
and the size of the square of the graph used.
Smocking is done on pairs of columns marked
Smocking is done on pairs of columns marked
with diagonals together. After completing one
pair of column we have to move on to the next pair.
Width of the material after smocking
Width of the material after smocking
After smocking the width of one pair of
column of squares become equal to ½ if the
diagonal of the square used.he gap takes
the shape of an equilateral triangle
(See the diagram 1) whose side is equal
to the diagonal of the square. Width
of the gap will be equal to the height
of the triangle thus formed.
Height of the triangle can be calculated
Height of the triangle can be calculated
by using the diagonal of the square used
Height of the triangle =√ (diagonal²–½diagonal²) .
Height of the triangle =√ (diagonal²–½diagonal²) .
No need to worry about the formula. I have given
the table which gives the diagonal and height
of the triangle formed when smocking is
done on different sizes of squares.
Length
After smocking the height of two
After smocking the height of two
rows will be equal to the
diagonal of the square
With the help of these calculations
With the help of these calculations
we can find out the number of squares we
need in each row and in each column. And
then the material needed..Figures3,4and 5
explain the changes that take place after
smocking for different sizes of squares
I will give one example
How to calculate material needed for a
How to calculate material needed for a
cushion of size 40cm x40cm smocking
done on graph with squares 3cm x 3cm
Width
After smocking width first column
Width
After smocking width first column
becomes half of the diagonal =2.1cm
Width of next gap will be equal to
Width of next gap will be equal to
height of the triangle formed = 3.6cm
Total of these three squares will be 5.7cm
These three squares are repeated
Last column is column of squares with
Total of these three squares will be 5.7cm
These three squares are repeated
Last column is column of squares with
diagonals (marked pink) its width is 2.1cm
Subtract 2.1 cm from 40 cm =37.9 cm
Now we have to find out how many
Subtract 2.1 cm from 40 cm =37.9 cm
Now we have to find out how many
times the fist 3 squares whose width will
be 5.7 can be repeated to get to get 37.9cm
37.9cm÷ 5.7= 6.6
We can repeat 6 times without fraction
37.9cm÷ 5.7= 6.6
We can repeat 6 times without fraction
that means we have to repeat 3 squares 6 times
3x6= 18 squares + last column 2 squares. = 20 squares
If you smock on 20 squares resulting
3x6= 18 squares + last column 2 squares. = 20 squares
If you smock on 20 squares resulting
material will be (8x 5.7) + 2.1= 34.2 cm
+ 2.1cm= 36.3 cm
It is 37 cm approximately or 4cm less
It is 37 cm approximately or 4cm less
than 40 cm this can be made up by adding
2 cm on either side as border to this
add 1cm on either side for seams
Length
We get 4, 2 cm when we smock 2 rows
These two rows should be repeated
Length
We get 4, 2 cm when we smock 2 rows
These two rows should be repeated
40 ÷ 4.2= 9.5 times or 9 times
without taking decimal
2 rows X 9 = 18 rows. When we smock
2 rows X 9 = 18 rows. When we smock
these 18 rows the length we
get = 4.2 x 9= 37.8 cm
It is 2.2 cm less than 40 cm. it can
It is 2.2 cm less than 40 cm. it can
be made up by adding 1 .1 cm
on either side.
To this add 1 cm on either side as border.
So the graph will have 18 rows each row having 20 squares
Width of the material=20 squares x 3cm=60cm + 6cm=66cm
Length of the material = 18 X 3 cm =54 cm + 4.2 cm=56.2 cm
Material needed =66 cm Χ 56.2 cm
So the graph will have 18 rows each row having 20 squares
Width of the material=20 squares x 3cm=60cm + 6cm=66cm
Length of the material = 18 X 3 cm =54 cm + 4.2 cm=56.2 cm
Material needed =66 cm Χ 56.2 cm
http://vani-testblog2.blogspot.com/2010/12/method-of-calculating-material-need-for_08.html
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