QUESTION$\mathrm{.}5$: Take n$=1$

Assume the specific weight of the aggregate sample given below is $(2\mathrm{.}80-0\mathrm{.}02n)k\frac{g}{d}{m}^3.$ Unit weight is $(1\mathrm{.}50+0\mathrm{.}02n)k\frac{g}{d}{m}^3.$ Design a concrete mixture by using below given aggregate sample. Concrete grading will be C$30,$ specific weight of cement is $31\mathrm{.}5k\frac{g}{d}{m}^3,$ Cement is P$32\mathrm{.}5,$ vibrator will be used during the placing but the mixing could not be controlled well.

$E=(10-K_k),=40,fc=(\frac{f_{cc}}{K_G})(\frac{C}{E}{)}^2,K_G=4$

$\backslash$table$[[$Sieve size $($mm$),31,5,16,8,4,2,1,0\mathrm{.}5,0\mathrm{.}25,$Pan$],[$Passed $(\%),100,73\mathrm{.}8,(53\mathrm{.}3-0\mathrm{.}5n),(36\mathrm{.}9+0\mathrm{.}5n),25\mathrm{.}7,16\mathrm{.}1,9\mathrm{.}7,6\mathrm{.}1,0]]$