Problem No$.1$

A student in the materials lab is trying to find out how a given aggregate gradation $($Table $1)$ compares to the gradation, which results in the maximum density using the $0\mathrm{.}45$ Power Graph concept. Determine the following:

a$)$ NMAS of the gradation given in Table $1$;

b$)$ MAS of the gradation given in Table $1$;

c$)$ Plot the $0\mathrm{.}45$ Power Graph;

d$)$ Plot gradation given in Table $1$ on the same graph shown in Part c;

e$)$ How should the given gradation be altered to obtain a denser aggregate?

$($Please clearly describe the method used for each step.$)$

$\backslash$table$[[$Table $1.$ Given Gradation$],[\backslash$table$[[$Sieve$],[$Size $(mm)$