Question $2(10$ marks$)$

a$.$ The cross section of a three $(3)$ storey steel building frame is shown in Figure $1$ below. The total weight is $4200$

kN for each floor and $2750$ kN for the roof top. The building is located at a place where the seismic zone factor

$(Z)$ is $0\mathrm{.}35$ and the site coefficient $($S$)$ for soil is equal to $0\mathrm{.}9($soil profile with a rock like material$).$ The building

shall be use to carry hazardous facilities with an importance factor of $1\mathrm{.}5.$ The beams and columns of the building

frame shall be made of structural steel $($UB$)$ and structural steel column $($UC$),$ respectively which shall be design

with a special moment resisting frame $($Response modification coefficient $Rw=10.$ Using the earthquake

provisions of the $1994$ Uniform Building Code, answer the following $(10$ marks$)$:

I. The fundamental period of vibration of the structure

II$.$ The base shear numerical coefficient C

III. The design base shear force V

IV$.$ The distribution of the base shear force at every floor

level of the building

b$.$ In reflection upon your results from Q$2$a$.$ What can be learned about the relationship between Structural

Period and Base Shear? Use numerical evidence to support your answer. $(5$ marks$)$ do hand calculation and show working