GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/54

Common Data Questions

Assume Peirce’s Geometry and circular yarn of 0.5 mm diameter. A square plain woven fabric with maximum sett would have

Approximate crimp (%) in warp and weft yarns as

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Given,

Peirce’s geometry

Diameter of circular yarn=0.5 mm

A square plain woven fabric with sett.

i.e ,

EPI=PPI

E=I

In case of jammed fabric-

By formula-

Crimp%=(l-p) x 100/p

p=D Sin $\theta$

l=D \times $\theta$

Crimp%=(l/p-1) x 100

Crimp%= $(\frac{D\times \theta}{D\times Sin \theta}-1) \times 100$

For square jammed fabric-

$\theta=60^o$
or
$\theta=\frac{\pi}{3}$

Crimp%= $(\frac{D\times \frac{\pi}{3}}{D\times Sin (60^o)}-1) \times 100$

Crimp%= $(\frac{\frac{3.14}{3}}{Sin (60^o)}-1) \times 100$

Crimp%= $(\frac{\frac{3.14}{3}}{\frac{\sqrt3}{2}}-1) \times 100$

Crimp%= $(1.21-1) \times 100$

Crimp%= $0.21 \times 100$

Crimp%=21% (Ans)