Problem #$3(30$ points$).$ Figure $1-2$ illustrates the filled welds $AB$ and $AC,$ which join a bracket $($with a depth of $\frac{3}{8}in.)$ to the base of a heavy truck chassis. Determine the required weld size given the following conditions:

The external force acting on the bracket is $F=2500lbf.$

The allowable shear stress is ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=7500$ psi..

Note: Since the external load, $F,$ does not pass through the centroid of the weld group, torsion, bending, and shear must be considered in your calculations.

Exte

$F=$

$3$

Figure $1-2$: Welded Bracket Assembly for Problem #$3.$

$($Not drawn to scale$)$