Question $1$: Ultimate Strength

A $17m-$span simply$-$supported concrete beam is prestressed with four $12\mathrm{.}7mm$ diameter $7-$

wire ordinary Unbonded strands at initial prestress equal to $0\mathrm{.}8$ of the yielding strength of

$f_{px}=1530$MPa. The beam is to support the self$-$weight of a footpath deck having a width of

$2m$ and thickness of $200mm$ and footpath live load. Determine if the ultimate flexural

strength is adequate.

$f_c^{\text{'}}=32$MPa,${}_{\text{c}\text{e}\text{n}\text{c}\text{s}\text{e}\text{t}\text{e}}=26\mathrm{.}2k\frac{N}{m^3},=0\mathrm{.}85$

Make assumptions if required and provide suitable explanations.Question $1$: Ultimate Strength

A $17$m$-$span simply$-$supported concrete beam is prestressed with four $12\mathrm{.}7$ mm diameter $7-$wire ordinary Unbonded strands at initial prestress equal to $0\mathrm{.}8$ of the yielding strength of fpy$=1530$ MPa. The beam is to support the self$-$weight of a footpath deck having a width of $2$ m and thickness of $200$ mm and footpath live load. Determine if the ultimate flexural strength is adequate.

f$$c$=32$MPa, $\backslash$gamma concrete$=26\mathrm{.}2$ kN$/$m$3,\backslash$mu $=0\mathrm{.}85$

Make assumptions if required and provide suitable explanations.