Subject Project CVLE $566$

Consider a $3-$story reinforcing concrete frame building; the floor height is

equal to $4\mathrm{.}0m.$ The building used as general shopping center.

The columns located at the intersection lines. The sizes of the columns

$($three each on lines A$,$ B and C$)$ are $450450mm,$ for the ground floor, and

$400400,300300$ consecutively for the two highest stories.

One typical floor shown below formed as two$-$way solid concrete slab, the

span from center to center in $x$ direction equal to $7\mathrm{.}5m$ and the span in $Y$

direction equal to $7\mathrm{.}5m.$

The beams are supporting the slab and have a span equal to $7\mathrm{.}5m$ from

$($c$.$ to c$.),$ the beam dimension is equal to $250700$ typical.

The floor supports ceiling, ductwork, and lighting fixtures plus ceramic

floor tile and partitions as equivalent to a uniform load, the total dead load

equal to $11\mathrm{.}5k\frac{N}{m^2}$ and live load $4\mathrm{.}8k\frac{N}{m^2}.$ Use LRFD factors load $1\mathrm{.}2$

and $1\mathrm{.}6$ consecutively to determine the uniform load on the slab.

The lateral load due to earthquake equal to $1600kN$ starting from the roof

and $1200$ and $800kN$ consecutively.

Use middle frame along line B as typical to do your analysis.

$1-$ Built the local stiffness matrix for each member.

$2-$ Built the global stiffness matrix plus the fixed end moments vector.

$3-$ Determine the reactions and the moments at the supports.

$4-$ Draw the axial, shear and bending moment diagrams, for the beams and

the columns of the building.