Problem Statement: Consider the bolted connection between the double channel and the stem of the WT from Homework $6.$ It is a bearing$-$type connection with standard holes. Compute the design strength, $R_n,$ of the connection considering the limit states of shear rupture of the bolt and bearing and tearout at the bolt holes.

Recall that the double channel conforms to ASTM A$36$ and the WT conforms to ASTM A$992.$

Solution: Follow the steps.

Page $1$ of $7$

CE $371-$ Structural Engineering I

Homework $9$

Mark D$.$ Denavit $-$ Spring $2024$

Assigned: $2/12/2024$

University of Tennessee, Knoxville

Due: $\frac{2}{16}\frac{?}{2024}$

Each bolt will be checked for five different limit states:

Shear rupture of the bolt

Bearing at the bolt holes in the double channel

Tearout at the bolt holes in the double channel

Bearing at the bolt holes in the stem of the WT

Tearout at the bolt holes in the stem of the WT

The shear rupture strength will be the same for all three bolts. Compute the design shear strength of an individual bolt, $r_m,$ for the limit state of bolt shear rupture.