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HOMEWORK #$5$ SUMMER $2024.$pdf

CE$252$

SUMMER $2024$

HOMEWORK # $5$

Find the amount of materials required to cast $1$ slab $(40040025cm)$ and $4$ beams $(4003025cm),$ given the following design data:

Minimum mean cement content $=325k\frac{g}{m^3}$

Maximum mean water$/$cement ratio $=0\mathrm{.}65$

Cement: Ordinary Portland cement, Specific Gravity $=3\mathrm{.}1$

Characteristics cube strength at $28$ days $=25,000k\frac{N}{m^2}$

Section: heavily reinforced with vibrations

Coarse aggregates: crushed rock $),$ Specific Gravity $=2\mathrm{.}6$

Fine aggregates: natural sand, Specific Gravity $=2\mathrm{.}5$

Aggregates grading:

$\backslash$table$[[\backslash$table$[[$Sieve$],[$size$],[($mm$)]],37\mathrm{.}5,20\mathrm{.}0,10\mathrm{.}0,5\mathrm{.}0,2\mathrm{.}36,1\mathrm{.}18,0\mathrm{.}60,0\mathrm{.}3,0\mathrm{.}15,0\mathrm{.}075],[\backslash$table$[[$Coarse$],[\%$ pass$]],100,94,35,0,,,,,,],[\backslash$table$[[$Fine$],[\%$ pass$]],,,,100,85,60,36,10,0,]]$

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