CE $221$ CONSTRUCTION MATERIALS

HOMEWORK $4$

DUE ON JANUARY $4,2024$

An asphalt concrete mixture contains $5\%$ bitumen $)=(1\mathrm{.}023\frac{kg}{d}{m}^3$ by weight of total mixture and crushed limestone aggregate $)=(2\mathrm{.}755\frac{kg}{d}{m}^3.$ The compacted density of the laboratory prepared specimen is measured as $2\mathrm{.}441k\frac{g}{d}{m}^3.$ Calculate,

a$)$ The percentage of aggregate by weight of total mixture.

b$)$ The percentage of air voids by volume of total mixture.

c$)$ The percentage of space between the aggregate particles which is filled with bitumen.

A $2\mathrm{.}66m$ high masonary wall having a thickness of one brick length $(190mm)$ will be built of solid bricks and cement mortar of C$-$class. DOT$/8$ and DOT$/12$ bricks are locally available. Which type of brick should be used in order to achieve a factor of safety $($F$.$S$)$ of at least $3\mathrm{.}00?$

Use Graf strength formula with medium workmanship. $($Take $g=10\frac{m}{se{c}^2})$