$5\mathrm{.}8$ A square two$-$way slab is fixed on all edges and loaded by a uniformly distributed pressure which is applied suddenly with an intensity of $1ki\frac{p}{f}{t}^2$ and which then decays linearly to zero at $0\mathrm{.}2$ sec$.$ The slab properties are:

Span $=20ft$

Weight $=100l\frac{b}{f}{t}^2$

$I_c=40in.\frac{i{n}^4}{ft}$

$E_c=3{10}^{6}l\frac{b}{i}{n}^2$

Bending moment: $M_{Pa}=M_{Pfb}=M_{P_{sa}}=M_{P_{sb}}=2000$kip$-in.$

Using the appropriate transformation factors, compute the maximum central deflection:

a$.$ By the response chart $($Fig$.2\mathrm{.}24),(PICTUREOF$ FIGURE $IS$ ATTACHED.$)$ based on an average load$-$mass factor and an effective stiffness.

b$.$ By numerical integration, taking into account all three stress ranges.

Please refer to both images attached for the complete question and figure