GATE (TF) Textile 2009 Question Paper Solution | GATE/2009/TF/53

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

Question 53 (Textile Engineering & Fibre Science)

Thread spacing (mm) in the fabric as

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Peirce’s geometry

Diameter of circular yarn=0.5 mm

A square plain woven fabric with sett.

i.e ,



In case of jammed fabric-

2\times \sqrt (1-(\frac{p}{d})^2)=1

\sqrt (1-(\frac{p}{d})^2)=\frac{1}{2}

By doing square both side-






p=\frac{\sqrt3}{2}\times d


p=thread spacing and d is the diameter of circular yarn
where, d1=d2
p=\frac{\sqrt3}{2}\times 2 \times d1

p=\frac{\sqrt3}{2}\times 2 \times 0.5

p=\frac{1.732}{2}\times 2 \times 0.5

p=1.732 \times 0.5

Thread spacing(p)=0.866 mm (Ans)

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