An overhanging W $*760*257$ rolled$-$steel beam supports a load P$\_\{1\}=400$kN and P$\_\{2\}=600$ kN as shown $.$ Knowing that a$=5$ m$.$b$=2\mathrm{.}5$ m; sigma au $=350$ MPa and tau all $=170$MPa $.$ Determine: $1.$ The maximum value of the normal stress sigma$\_\{$m$\}$ in the beam, $2.$ the maximum value of the principal stress sigma max and the maximum value of the shearing stress tau max at the junction of the flange and web, $3.$ State if the specified shape is weather acceptable or not? as far as these two stresses sigma max and tau max are concerned $.4.$ Then determine the angles and theta$\_\{$S$\}$ and draw the principle planes stress and the maximum in$-$ plane shearing stress $.5.$ Draw Mohr's circle showing all characteristic points : sigma ave; sigma min; sigma max Tmax $6.$ Show in Mohr's circle sigma$\_\{$b$\}$; r$\_\{$b$\}$; theta$\_\{$p$\}$; theta$\_\{$s$\}$