Problem 1 (10 points): A bolted connection between a vertical column and a diagonal brace is

shown in the figure. The connection consists of three 5/8-in. diameter bolts that join two 1/4-in.

thick end plates welded to the brace and a 5/8-in. thick gusset plate welded to the column. The

compressive load P carried by the brace varies from 40,000 to 80,000 lb. Ignore fatigue stress

concentration to determine fatigue safety factor for the bolts.

Determine the safety factor for the bolts if endurance strength = 40 ksi and ultimate tensile

strength = 160 ksi.

Column

-Brace

End plates

for brace

Gusset

plate