Q$2.$ A $3-$story shear frame $($rigid beams and flexibie coiumns$)$ in structural steel $(E=29,000$ksi $)$ is

shown below. Assume $w=400$kips,$I=2400i{n}^4,$ and the modal damping ratios $$ are $5\%$ for all

modes. Consider the response in fundamental mode $($i$.$e$.$ first mode$)$ only. Assuming that the

mode shape is given by deflections due to lateral forces that are equal to the floor weights.

Determine the floor displacements, story shears, and overturning moments at the floor and

base due to a ground motion characterized by the design spectrum for $5\%$ of critical damping

ratio given below.

Q$3.$ Determine the response of a SDOF system for the weight and other geometric and

material properties defined in Q $2,$ for one second. $A=2$ kips.

provide detail summary for Q$3$