$3-2.[40$ points$]$

A T$-$beam has the dimensions shown in Fig. below and is reinforced with two No$.11($No$.36)$ bars. The concrete compressive strength $f_c^{\text{'}}$ is $3000.$ The yield point of the steel $f_y$ is $60,000.$ Determine the optimum bending moment such that the section satisfies the criteria of elastic and uncracked design. $[$Use gross area only$]$