Chapter 6, Problem 6.31P

Interpretation Introduction

(a)

Interpretation:

The engineering stress of the given nanotube should be determined.

Concept Introduction:

The mathematical expression of the engineering stress is given as:

$\sigma (stress)=\frac{F}{A}$

F = applied force

A = cross-sectional area of specimen

s = stress

Interpretation Introduction

(b)

Interpretation:

Elongation of given carbon nanotube should be determined in nanometers.

Concept Introduction:

Concept of Hooke's law will be used.

This relation is given as:

$\sigma \propto \epsilon$

And, the strain is given as:

$\epsilon =\frac{\Delta l}{l}$

Where,

s = stress

e = strain

Δl = change in length

l = initial length