Problem Solving

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Question $1.$

The triangular beam is shown in the figure. $\backslash (\backslash$mathrm$\{$Fc$\}^\{\backslash$prime$\}=32\backslash$mathrm$\{$MPa$\}\backslash ),$ fy $\backslash (=415\backslash$mathrm$\{$MPa$\}\backslash ),$ concrete cover $-50$ mm $,$ and stirrups diameter $\backslash (=10\backslash$mathrm$\{$~mm$\}\backslash ).$

$1.$ Calculate the depth of the neutral axis in $\backslash ($ m $\backslash ).$

$2.$ Calculate the depth of compression block in mm$.$

$3.$ Calculate the reinforcement stress in Mpa.

$4.$ Calculate the ulimate moment capacity in kN$.$m