$3.$ A simply supported beam with overhangs at both ends carries a uniformly distributed load of $10\backslash (\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ over the entire span of the beam as shown in the following figures. Calculate the maximum tensile and compressive stresses induced in the beam.

$4.$ A simple beam has a span length of $14$ m and supports a uniformly distributed load $\backslash ($ W $\backslash )$ over the entire span of the beam. The beam section is shown in the following figure. Determine the maximum permissible load $\backslash ($ W $\backslash )$ that the beam can carry if $\backslash (\backslash$sigma $\backslash )$ allow $\backslash (=110\backslash$mathrm$\{$MPa$\}\backslash ).$

$($Ans$.\backslash (144\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash ))$