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Friday, December 28, 2018

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)

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