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How to Convert Denier of PP Woven Fabric to GSM

How to Convert Denier of PP Woven Fabric to GSM

How to convert GSM of a pp woven bags to Denier? Or how to convert Denier of pp woven fabric to GSM? 

First of all, let's see what's GSM and Denier mean. 
1. What is GSM of pp woven material?
GSM means grams per square meter. 

2. What is Denier?
Denier means fiber grams per 9000m, it is a unit of measurement that is used to determine the fiber thickness of individual threads or filaments used in the creation of textiles and fabrics. Fabrics with a high denier count tend to be thick, sturdy, and durable. Fabrics with a low denier count tend to be sheer, soft, and silky.

Then, let's do the calculation upon an actual case, 
We take a roll of polypropylene tape (yarn) from the extruding production line, width 2.54mm, length 100m, and weight 8grams. 
Denier means yarn grams per 9000m,
So, Denier=8/100*9000=720D
When weave this yarn into 1m*1m square fabric, lets calculate what’s the weight will be per square meter (gsm).
GSM=D/9000m*1000mm/2.54mm*2

1.D/9000m=grams per meter long
2.1000mm/2.54mm=number of yarn per meter (include warp and weft then *2)
3.Each yarn from 1m*1m is 1m long, so the number of the yarn is also the total length of the yarn.
4.Then the formula make the 1m*1m square fabric equal as a long yarn.
It comes to a simplified formula,

GSM=DENIER/YARN WIDTH/ 4.5
DENIER=GSM*YARN WIDTH*4.5

Remark: It only works for PP woven bags weaving industry, and the gsm will arise if weaved as anti-slip type bags.
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