Assigned: April $17,2024$

Extra Credit Homework Assignment #$11$

Due: May $03,2024$

$5.(20$ points$)$ A column in the basement below a gymnasium in a building $($floor plan as shown below$)$ spans only a single story and can be assumed to have fixed$-$pinned boundary conditions.

$5\mathrm{.}1)$ Given that the gymnasium floor is subjected to distributed dead load of $60psf$ and distributed live load of $120psf($no further live load reduction is needed$).$ Determine the compressive load $P_u$ acting on the column. considering flexural buckling. Which one of the three is the most efficient section for this column? $($Use theoretical value for effective length factor $K,$ and $Fy=50$ksi $)$

Column Idealization