Chapter 17, Problem 17.34P

Interpretation Introduction

Interpretation:

The value of critical fiber length and minimum aspect ratio is to be determined. Also, the comparison of lengthif coarser fiber is replaced by 1 micrometer alumina whisker is to be explained.

Concept introduction:

Aspect ratio is defined as the ratio between critical fiber length and diameter of fiber.

Aspect ratio = $\frac{I_c}{d}$

  $I_c$ is the critical length of fiber.

d is the diameter of fiber.

Relation gives critical length of fiber,

  $I_c=\frac{T_{Sf}d}{2{\tau }_i}$

  $T_{Sf}$ is the tensile strength of fiber

d is the diameter of fiber

  ${\tau }_i$ is the strength of bond between fiber and nylon.