A two$-$span deep beam is provided to transfer the loads of the four columns at D$,$ E$,$

$F$ and $G$ to the supporting columns A$,$ B and $C$ as shown in Figure Q$3.$ The following

data are given:

The cross section of columns at D$,$ E$,$ F and G is $300300mm$;

The design load on each column $($D$,$ E$,$ F and G$)$ is $250kN$;

The cross section of the supporting columns at A and $C$ is $400300mm$;

The cross section of the supporting column at B is $600300mm$;

The characteristic compressive strength of concrete $=50\frac{N}{m}{m}^2$;

The characteristic yield strength of steel $=500\frac{N}{m}{m}^2$;

Assume nominal cover to steel reinforcement $=25mm$;

Out$-$of$-$plane thickness of the deep beam and supporting columns is $300mm.$Calculate forces in struts and tie$($s$)$ of the proposed strut and tie model proposed

in Q$3($a$)$ above. A linear elastic analysis for the continuous deep beam shown in

Fig. $3$ estimates the reaction at the middle support B may be assumed as $2\mathrm{.}70$P$,$

where P $(=250$kN$)$ is the point load due to each column