PROBLEM $4(20$ marks$)$

Knowing that $=40$ and $P=9kN,$ determine $($a$)$ the smallest

allowable diameter of the pin at $B$ if the average shearing stress in

the pin is not to exceed $120$MPa,$(b)$ the corresponding average

bearing stress in member $AB$ at $B,(c)$ the corresponding average

bearing stress in each of the support brackets at $B.$

PROBLEM $5(20$ marks$)$

Two wooden members of uniform rectangular cross section are joined

by the simple glued scarf splice shown. Knowing that $P=11kN,$

determine the normal and shearing stresses in the glued splice.