Question:
In the equation $\beta=\frac{b_{2}{b_{i}}$ the term $\beta$ is known as
In the equation $\beta=\frac{b_{2}{b_{i}}$ the term $\beta$ is known as
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Higher crimp increases fabric extensibility but reduces stiffness.
Updated On: Jun 29, 2026
- Yarn Crimp ratio
- Fabric width
- Yarn balance
- Limits of twist
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The Correct Option is A
Solution and Explanation
Concept:
In fabric mechanics, yarn crimp refers to the waviness or undulation of yarn when it is incorporated into a fabric structure. Due to interlacement in woven fabrics or loop formation in knits, yarn does not remain straight, but follows a longer path, leading to crimp formation.
Step 1: Understand physical meaning of terms.
• \(b_2\) = actual length of yarn in fabric condition (crimped)
• \(b_i\) = ideal straight length of yarn
Step 2: Interpret the ratio.
\[ \beta = \frac{b_2}{b_i} \] This ratio measures how much extra length a yarn has due to bending and looping inside the fabric.
Step 3: Relation to crimp.
If yarn is perfectly straight, \(\beta = 1\). If yarn is crimped, \(\beta > 1\). Thus, it directly represents yarn crimp ratio.
Step 4: Final conclusion.
\[ \boxed{\text{Yarn Crimp Ratio}} \] Thus, \[ \boxed{\text{Option (A) is correct.}} \]
Step 1: Understand physical meaning of terms.
• \(b_2\) = actual length of yarn in fabric condition (crimped)
• \(b_i\) = ideal straight length of yarn
Step 2: Interpret the ratio.
\[ \beta = \frac{b_2}{b_i} \] This ratio measures how much extra length a yarn has due to bending and looping inside the fabric.
Step 3: Relation to crimp.
If yarn is perfectly straight, \(\beta = 1\). If yarn is crimped, \(\beta > 1\). Thus, it directly represents yarn crimp ratio.
Step 4: Final conclusion.
\[ \boxed{\text{Yarn Crimp Ratio}} \] Thus, \[ \boxed{\text{Option (A) is correct.}} \]
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