A beam MB $600$@$123kgf$ is supported over an effective span of $9m.$ Two floor joists transmit floor loads at a distance of $1\mathrm{.}5m$ on either side of the midspan. Determine the safe load which the two floor joists can transmit on the beam if the beam is effectlvely restrained laterally by the floor joists.

Properties of MB $600$@$123kg$ are:

Overall depth $(D)=600mm$

Width of flange $(b)=210mm$

Depth of web $(d_i)=558\mathrm{.}4mm$

Mean thickness of flange $(t_p)=20\mathrm{.}8mm$

Thickness of wob $(t_w)=12mm$

$\backslash$table$[[$Ur $\frac{D}{t_t},20,25,30,35,40],[60,151,150,149,149,149],[65,148,147,146,146,145],[70,146,144,143,142,142],[75,143,141,140,139,138],[80,140,138,136,135,134]]$

Radius of gyration about $yy-$axis $(r_y)=41\mathrm{.}2mm$

Modulus of section about $-$axis $(Z_x)=3060{10}^{2}m{m}^3$

Modulus of section about $yy$ axis $(Z_{})=252{10}^{3}m{m}^3$

Maximum permissible bending stress ${}_{bc}(\frac{N}{m}{m}^2)$ for $\frac{t_q}{t_w}<mn>2</mn>$ and $\frac{d_1}{t_w}<mn>8</mn><mn>5</mn>$ is given in the table below as a function of slenderness ratio $(\frac{L}{r})$ and $\frac{D}{t_r}$