In this case we need to tape a yarn sheet on the warp beam,cut them off and remove,however we need also to calculate how many meters or kilo grams a yarn sheet remain on the warp beam for future used.Following are the formula to calculate the remain yarn sheet on warp beam for Warp Knitting.
First of all we need to know and to determine the current winding or the actual winding on warp beam,as follows ;
Actual Winding = [( UA Actual – UI ) X full Winding ] : ( UA full – UI )
|UA = Outer Circumference of warp beam in mm||UI = Inner Circumference of warp beam (empty barrel) in mm|
|Example : UA actual = 1000 mm |||UI = 940 mm | full winding = 10000|
|Actual Winding = [( 1000 mm – 940 mm) X 10000 ] : ( 1500 mm – 940 mm )|
|Actual Winding = 1071,4 winding |
for safety usually the warp knitting machine has to be stop when the 20 winding remain on the beam before finish,so we calculate 1071,4 – 20 = 1051,4 winding as an actual or current winding.
See also "Winding Calculation for Warp Knitting"on previous article.
Now,we would like to convert from the current winding into the length of yarn sheet on the warp beams in meters uses following formula:
Warp Length (meter ) = [( UI + UA ) X winding ] : 2000
2000 = refer to UI / UA and conversion from meter to millimeter.
|Example : UI = 940 mm | UA = 1000 mm||Winding = 1051,4|
|Warp Length (meter ) = [(940 mm + 1000 mm) x 1051,4] : 2000|
|Warp Length (meter) = 1019,85 meters|
To convert warp length in meter into weight of yarn sheet remain on warp beam in kilograms ,uses following formula ;
Weight of yarn sheet per beam = Yarn Count (in Dtex) X threads per beam X warp length
|Example : Yarn Count (in dtex) = 44 dtex | threads per beam = 607 ends for warp knitting machine with gauge 28 E and 130 inches in width ( six warp beams 21 x 30 or 30 x 30 ) | warp length in meter = 1019,85 meter. |
Weigh of yarn sheet per beam in kg = 4,4 tex X 607 ends X 1019,85 meters
Weigh of yarn sheet per beam in kg = 2,7 kg
The calculation above,is for cylindrical beams not for diabolo beam.
Please note ; the above calculation just for approximate, result may can be vary according to warping conditions,warping process and yarn properties it self.