Problem $1$

LRFD load combinations. Your colleague has performed a structural analysis of a building considering multiple loading scenarios. For an interior column, she provides you the following service$-$level axial loads, $N$ acting on the column:

Dead load

Live load

Wind load

Seismic load

Snow load from roof

Live load from roof

$N_D=-60$ kips

$N_L=-85$ kips

$N_W=+-50$ kips

$N_{Eh}=+-90$ kips

$N_S=-25$ kips

$N_{Lr}=-40$ kips

Compute the maximum factored axial force effects $($max$.$ tension and compression$),N_u$ in this column. Consider all possible load combinations as given by ASCE $7-22.$ You may do this problem by hand or in Mathcad.

What is the name of the design check that these values are used for?