Problem:

A continuous girder system as shown in Grid $3$ is consists of G$11,$ G$12$ and G$13$

girders. The slab resting on these girders have the following superimposed dead

loads:

Metal Deck with Reinforced

Concrete Slab:

Floor Finish Type:

$3\mathrm{.}5kP{a}_{?}$

Ceilings $($Below the Slab$)$:

Hardwood Flooring, $22mm$

Frame Partitions:

Gypsum board, $10mm$

Miscellaneous $($MEPF$)$:

Movable Partitions

$0\mathrm{.}24kP{a}_{?}$

Girders $($G$11,$ G$12$ &G$13)$ carry a uniform superimposed dead load of $8\mathrm{.}1$ kN$/$m

due to the perimeter wall.

The slab carries a live load of Residential Basic Floor Area.

In the initial analysis, beams $($B$5,$ B$10,$ B$15,$ B$17$ & B$19)$ were assumed to be

W$6$x$20.$ Girders $($G$11,$ G$12$ &G$13)$ were assumed to be W$16$x$50.$

Earthquake analysis from a software was conducted and the reactions at the

exterior supports $($joints A & D$)$ are as follows:

At joint A:

Shear force $($VA$)=62kN$

Moment $($MA$),=105kN-m$

At joint D:

Shear force $($VD$)=-58kN$

Moment $($MA$),=-95kN-m$

Determine the controlling load combination for LRFD and the

corresponding factored load $($Shear and Moment$)$ in the exterior supports.

If the resistance factor $$ is $0\mathrm{.}90,$ what is the required nominal strength?

Determine the controlling load combination for ASD and the

corresponding required service load strength $($Shear and Moment$)$ in the

exterior supports.

If the safety factor is $1\mathrm{.}67,$ what is the required nominal strength based on

the service load strength?$|$