Strut$-$and$-$Tie Model: Deep Beams

A simply supported transfer girder is to carry a $600$ mm square column at midspan sustaining a factored load of $5000$ kN $.$ The girder is $6$ m long between supports, a depth of $3\mathrm{.}6$ m and width of $600$ mm $.\backslash (\backslash$mathrm$\{$fc$\}^\{\backslash$prime$\}=\backslash )34\mathrm{.}5$ MPa $,$ fy $\backslash (=414\backslash$mathrm$\{$MPa$\}\backslash ).$

$1.$ Neglecting self$-$weight, determine the dimensions of the struts using the model shown. Effective depth is assumed at $0\mathrm{.}90$ h $.$

Note: The nodal stress at the upper nodal zone is the average stress under the column which is load divided by the column area. The nodal stress can in turn be used to dimension the struts. Using $\backslash ($ p$=$F $/$ A $\backslash )$

$2.$ Determine the capacity of the struts.

$3.$ Design the tie and check anchorage.

$4.$ Design the vertical and horizontal reinforcements.

$5.$ Evaluate the nodal zones.