# GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/35

###### Question 35 (Textile Technology & Fibre Science)

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r].
[a]: The work factor of silk fibre is greater than 0.5.
[r]: The work factor is calculated by assuming the following as the stress-strain curve of
silk fibre.

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### What is work factor?

Work factor is defined as the ratio of the work of rupture to multiplied of breaking load and breaking extension

### What is stress-strain curve?

A stress-strain curve is a graphical representation of the behavior of a material subjected to a load or stress. It shows the relationship between stress (the force applied per unit area) and strain (the deformation or elongation of the material) as the material is subjected to increasing levels of stress.
The stress-strain curve typically consists of several distinct regions:
Elastic region: In this region, the material behaves elastically, meaning that when the stress is removed, the material returns to its original shape. The stress and strain are proportional to each other, and the slope of the curve is known as the Young’s modulus.

Yielding region: Beyond a certain point, called the yield point, the material undergoes plastic deformation, meaning that it permanently deforms even after the stress is removed. The stress required to cause this deformation is known as the yield stress.

Strain hardening region: In this region, the material becomes stronger as it is deformed. The slope of the curve increases as the material is strained further.
Necking and failure region: The material becomes weaker and deforms rapidly until it fails or breaks.

The stress-strain curve is a useful tool in engineering and materials science for understanding the mechanical properties of materials, including their strength, stiffness, and ductility.