# Textile Calculation

Problems and solutions of textile

## Different Formulas of Warp Calculation in Weaving

Different Formulas of Warp Calculation in Weaving
Mayedul Islam
Assistant Chemist
Ha-Meem Group, Tongi, Gazipur, Bangladesh

Introduction:
During warp calculation in weaving, the following formula will be found useful for determining various particulars required in practice. They have all been derived from the fundamental formula,

Count = Number of hanks per lb.

1. Total number of ends in cloth,

= Number of ends per inch in cloth × cloth width + extra ends for selvedge

Or,

= Number of ends per inch in reed × width of warp in reed + extra ends for selvedge

2. Length of warp yarn in yds in cloth,

= Tape length in yds × number of ends

3. Total length of warp yarn in hanks ,

Total number of ends × Tape length in yds
= ………………………………………………
840

4. Tape length in yds,

Count of warp yarn × weight of warp yarn in lbs × 840
= …………………………………………………………….
Total number of ends

5. Length of cloth in yds,

Count of warp yarn × weight of warp in lbs × 840
= …………………………………………………………………….. – (up-take)
Total number of ends

6. Total length of warp yarn in metres ,

= Total number of ends × Tape length in metres.

Or,

= (Cloth length in metres + warp regain%) × Total number of ends.

7. Weight of warp in lbs,

Total length of warp yarn in hanks
= ………………………………………….
Count

Or,

Total number of ends × Tape length of warp in yds
= ……………………………………………………
840 × Count

8. Weight of warp in kg,

Count in tex × Total length of warp yarn in metres × Total number of ends
= …………………………………………………………………………………………
1000 × 1000

9. Count of warp yarn,

Total length of warp yarn in hanks
= …………………………………………………..
Weight of warp in lbs.

Or,

Total number of ends × Tape length of warp in yds
= ………………………………………..............………
840 × Weight of warp in lbs.

10. Count of warp yarn in tex,

Weight of warp yarn in kg × 1000 × 1000
= …………………………………………………..............
Total number of ends × Tape length of warp in metres

Example 01:
Calculate the total length and weight of warp in 100 mrtres of cloth having 3648 ends. The regain of warp is 10%. The count of the warp yarn is 20 tex.

Solution:

Total length of warp in metres,

(Cloth length in metres + regain% of warp) × total number of warp ends

= (100 + 10%) × 3648

= 110 × 3648

= 401280 metres

= 401.28 kms.

So, Total length of warp is 401.28 kms.

Now,

Weight of warp in kg,

Total length of warp yarn in km × count in tex
= ………………………………………………………………..
1000

401.28 × 20
= ………….
1000

= 8.0256 kg

So, the Weight of warp is 8.0256 kg. (ANS)

Example 02:
Calculate the length of cloth you would produce from a weavers beam containing 100⅓ lbs of warp. The total number of ends in the warp is 3000 and the count of the warp yarn is 40s. allow ⅓ lb as waste and 5% up-take of warp in weaving.

Solution:

Actual warp available is,

= 100⅓ - ⅓

= 100 lbs.

Now,

Length of cloth in yds,

Count of warp yarn × weight of warp in lbs × 840
= …………………………………………………………………….. – (up-take)
Total number of ends

40 × 100 × 840
= …………………………. – 95%
3000

= 1064 yds.

So, Length of cloth in yds is 1064 yds.(ANS)