Problem $1$

Define the Atterberg limits $($Liquid Limit, Plastic Limit, Shrinkage Limit$).$ What is the

plasticity index?

Problem $2$

Fill in the blank for each statement below.

a$.$ According to AASHTO classification, if $\%$ or less material passes through a

#$200$ sieve, the sample is classified as granular material.

b$.$ According to USCS, if

$\%$ or more material passes through a #$200$ sieve, the

sample is classified as fine$-$grained material.

Problem $3$

Why is the Group Index $=0$ for A$-1-$a$,$ A$-1-$b$,$ A$-2-4,$ A$-2-5,$ and A$-3?$ in the AASHTO

classification system?

Problem $4$

Starting with the fundamental definition of porosity, derive the following expression:

$n=\frac{e}{1+e}$

Show all your steps in a clear, logical fashion.