PLEASE ANSWER BOTH PARTS AND SHOW FULL PROCESS. $1\mathrm{.}69$ The two portions of member $AB$ are glued together along a plane

forming an angle $$ with the horizontal. Knowing that the ulti$-$

mate stress for the glued joint is $2\mathrm{.}5$ ksi in tension and $1\mathrm{.}3$ ksi

in shear, determine $($a$)$ the value of $$ for which the factor of

safety of the member is maximum, $($b$)$ the corresponding value

of the factor of safety. $($Hint: Equate the expressions obtained for

the factors of safety with respect to the normal and shearing

stresses.$)$

Fig. P$4\mathrm{.}69$ and P$1\mathrm{.}70$

The two portions of member $AB$ are glued together along a plane

forming an angle $$ with the horizontal. Knowing that the ultimate

stress for the glued joint is $2\mathrm{.}5$ ksi in tension and $1\mathrm{.}3$ ksi in shear,

determine the range of values of $$ for which the factor of safety of

the members is at least $3\mathrm{.}0.$