**Denier:**

The number or count in the denier system is the weight in grains of 9000m. Here, the determination of warp weight and weft weight in the denier system will discuss in below.

**Denier = weight in grams of 9000 meters length**

*We can determine the Warp weight and Weft weight in the Denier system by the following formulas –*

**1. Weight of Warp yarn (Kg)**

= (Total warp yarn X Length of warp yarn X Denier) / (9000 X 1000)

**2. Weight of Weft yarn (Kg)**

= (Picks/cm X Fabric length X Reed Warp width X Denier) / (9000 X 1000)

**Mathematical Problem:**

The construction is (90 X 85)/(70D X 70D) X 60”, if crimp of warp and weft is 4% and 6%., then calculate the amount of yarn to produce 100 yds fabric.

**Solution:**

The construction is (90 X 85)/(70D X 70D) X 60” means the following –

- No. of warp yarn per cm = 90
- No. of weft yarn per cm = 85
- Count of warp yarn = 70 denier
- Count of weft yarn = 70 denier
- Fabric width = 60 inch
- Warp yarn crimp = 4%
- Weft yarn crimp = 6%

Amount of yarn needed to produce 100 yds fabric =?

**Determination of Warp Weight and Weft Weight in Denier System**

**Tape length of warp yarn = 100 X (100 + Crimp)/100**

= 104 yds

= 104 X 36 X 2.54

= 9509.76 cm

= 95.1 m

**Total no. of warp yarn = Fabric width (cm) X No. of warp yarn per cm**

= 60 X 2.54 X 90

= 13716

**Total length of warp yarn = Tape length X No. of warp yarn**

= 95.1 X 13716

= 1304391.60 m

**Weight of warp yarn = (Length of warp yarn X Warp count) / 9000**

= (1304391.60 X 70) / 9000

= 10145.27 gm

= 10.145 kg

**Tape length of weft yarn = Fabric width X (100 + Crimp)/1000**

= 60” X (100 + 6) / 100

= 63.6 inch

= 63.6 X 2.54

= 161.54 cm

**No. of weft yarn = Fabric length X No. of weft yarn per cm**

= 91.44 X 85 (1 yd = 91.44 cm)

= 7772.40

**Length of weft yarn = Tape length of width X No. of weft yarn**

= 161.54 X 7772.40

= 1255553.5 m

**Weight of weft yarn = (Weft yarn length X Count) / 9000**

= (1255553.5 X 70) / 9000

= 976542 gm

= 9.77 kg

**Total weight of yarn = Weight of warp yarn X Weight of weft yarn**

= 10.145 + 9.77 kg

= 19.91 kg

So, Total of 19.91 kg yarn is required (ANS).

Author of this Article:Md. Abu SayedFounder of Textile Apex Pabna Textile engineering college, Pabna, Bangladesh Email: [email protected] Cell : +8801745214773