Homework $3$

Using AISC LRFD design principles, determine the maximum factored reaction $R_u=P_n$ that can

be developed for the simple shear $($framed beam$)$ connection shown in the figure below. Calculate

the capacity using basic principles considering all applicable limit states and show all

calculations.

$($a$)$ Determine $R_u$ neglecting the eccentricity entirely, as is common practice for bolted simple

shear connections.

$($b$)$ Determine $R_u$ including the eccentricities:

I. For the line of bolts in the web of the W$24$ x $104,$ which are subjected to eccentric

shear, use the elastic vector approach.

II$.$ For the bolted connection to the flange of the column, use the case in which the

neutral axis is not at the center of gravity of the bolt group to compute the bolt

tension.

$($c$)$ Compare the results from part $($a$)$ and $($b$)$ and comment on the findings.