PROBLEM $2$

Member ABC is supported by a pin at A and by the aluminum link $BD.$ Determine the required crosssectional area of the link BD and the required diameter of pins $A,B$ and $D$ if the ultimate normal stress of the link is $450$MPa, the ultimate shear strength of the pins is $270$MPa and the total deformation of the link cannot exceed $0\mathrm{.}30mm.$ Member ABC supports a $20kN$ load as shown. Link BD is reinforced around the holes. Use a factor of safety of $3\mathrm{.}0.$ All pins work in single shear. You MUST draw a clear free$-$body diagram.

Given:

$=450$MPa

$J=270mP$

$F=3\mathrm{.}0$

$0\mathrm{.}30m$