To construct a warehouse the frame system shown in fig I had been adopted. as an engineer your task is to analyse the mid frame, highlighted in RED. slabs $1$ and $2$ are made of in$-$situ cast reinforced concrete and have a thickness of $150$mm$.($ fog $2)$ for simplicity we assume that half the weight of each slab is transferred to Beam $1.($ fig $2).$ In addition, a water tank full of water with a weight of $1042$kg $(1000$ L of water plus weight of the tank$)$ will be installed in the middle of Beam $1.($fig $2).$ All the beams are made of reinforced concrete and have a standard size of $225$mm x $600$mm$.$ note that the density of reinforced concrete is $2500$kg$/$m$^3.$ estimate the loads applied on the beam $1$ including the load transferred from slabs $1$ and $2($self$-$weight of slabs$),$ the self$-$weight of Beam $1$and the water tank load. note that the water tank load may be idealised as a point load. please also note that there are also other types, which should be considered for practical design, but for simplicity they are not considered here. $($a$)$ Transfer of self$-$weight of Slabs $1$ and $2$ to surrounding beams $($simplified case$)($b$)$ Transfer of self$-$weight of Slabs $1$ and $2$ to Beam $1$ Figure $2$ Load transfer from slabs to beams in the warehouse frame system Figure $3$ The middle frame $($a$)$ Transfer of self$-$weight of Slabs $1$ and $2$ to surrounding beams $($simplified

case$)$

$($b$)$ Transfer of self$-$weight of Slabs $1$ and $2$ to Beam $1$

Figure $2$ Load transfer from slabs to beams in the warehouse frame system Calculate the normal stress and shear stress acting on an element G$,150mm$

from the top surface of the beam, in the section $G$ to the left of the point load

$F_{wt}($water tank load$)$ as shown in the bottom figure and then determine the

principal planes and the principal stresses.