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## Different Formulas of Sizing Calculation with Examples

Different Formulas of Sizing Calculation with Examples
Mayedul Islam
Assistant Chemist

Sizing:
Sizing is a complementary operation which is carried out on warps formed by spun yarns with insufficient tenacity or by continuous filament yarns with zero twist. In general, when sizing is necessary, the yarn is beam warped, therefore all beams corresponding to the beams are fed, as soon as warping is completed, to the sizing machine where they are assembled. Sizing consists of impregnating the yarn with particular substances which form on the yarn surface a film with the aim of improving yarn smoothness and tenacity during the subsequent weaving stage.
1. Weight in lbs,

Length of warp in yds × number of ends
= …………………………………………………………..
840 × yarn count

2. Size% On warp,

Weight in size
= ……………………………………. × 100
Weight of unsized warp

3. Weight of sized warp,

100 + Size%
= Weight of unsized warp + weight of size or weight of unsized warp ×  ……………………..
100

4. Weight of size to be put on warp,

= Weight of unsized warp × Size% required to be put on warp

5. Count of sized yarn,

Number of ends in warp × length of warp in yds
= …………………………………………………………………………
Weight of sized warp in lbs × 840

Or,
100
= Count of unsized yarn × ………………………………
100 + size% on the warp

Example:
The weight of sized yarn on a beam was found to be 82.5 lbs. The beam contains 1050 yds of warp, whose count before sizing was 50s cotton. If the number of ends in the warp is 3000, calculate the Following:
1. The weight of size on the yarn.
2. Size% put on the yarn.
3. The count of sized yarn.

Solution:

(1) Weight of size on warp,

= Weight of sized warp – weight of same length of unsized warp …………….(1)

Now,

Weight of unsized warp,

Length of warp in yds × number of ends
= …………………………………………………………..
840 × count of unsized yarn

1050 × 3000
= ………………………..
840 × 50

= 75 lbs

Therefore, from (1) we have,

Weight of size on warp = 82.5 – 75 = 7.5 lbs

So, the weight of size on the yarn is 7.5 lbs.

(2) Size% on warp,

Weight in size
= ……………………………………. × 100
Weight of unsized warp

7.5 × 100
= ……………….
75

= 10%

So, Size% put on the yarn is 10%

(3 ) Count of sized yarn,

Number of ends in warp × length of warp in yds
= …………………………………………………………………………
Weight of sized warp in lbs × 840

3000 × 1050
= …………………….
82.5 × 840

= 45.5S cotton

So, the count of sized yarn is 45.5S cotton.

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