For a $150$ lb $.$ TNT equivalent blast load at $50$ ft standoff distance, answer the following questions given the data below. The wall is a reinforced concrete wall $15$ feet tall and $8$ inches thick. Reinforcement is #$6$ bars $(\frac{3}{4}$ inch diameter$)$ at $12$ inches center to center $)=(0\mathrm{.}44i{n}^2.$ Assume normal weight concrete, $f_c=6,000$ psi, and $f_y=60,000$ psi. For a $1-$foot$-$wide strip of wall panel:

a$.$ Calculate, using UFC $340-02$ graphs, the maximum total blast load on the wall $($in kips$).(6$ pts$)$

b$.$ Calculate the total effective mass. $(2$ pts$)$

c$.$ Calculate the total effective flexural resistance. Neglect axial forces due to self$-$weight. $(6$ pts$)$

d$.$ Calculate the stiffness of the structure using lavg $=273i{n}^4(5$ pts$)$

e$.$ Calculate the period of vibration and the yield deflection. $(2$ pts$)$

f$.$ Calculate the critical ductility ratio associated with a support rotation limit of $2$ degrees and the corresponding response modification factor, and then determine whether the flexural response is acceptable. $(4$ points$)$

g$.$ Calculate the yield deflection and maximum deflection $($from NONLIN$)$ and find the actual ductility ratio and compare it to the critical ductility ratio in part $($f$)$ and state if it is acceptable. $(5$ points$)$