$2\mathrm{.}1$ A pin$-$connected structure is composed of members $AB$ and $BC$ as shown in the figure. The

structure is used to support a vertical repeated load $P=10$ kips at joint $B.$ Members $AB$

and BC have a diameter of $2^{\text{'}\text{'}}$ each. Each pin has a diameter of $1^{\text{'}\text{'}}.$ The clevis thickness is

$1^{\text{'}\text{'}},$ and the thickness of the supporting bracket is $2^{\text{'}\text{'}}$ as shown in the figure. All members are

made of ASTM A $36$ structural steel.

At support C$,$ determine:

a$.$ The load in member BC$.($Ibf$)$

b$.$ The factor of safety based on the normal stress in the clevis. Is it acceptable?

c$.$ The shear stress in the pin $($psi$)$ and the corresponding factor of safety, is it

acceptable?

d$.$ The bearing stress on the pin $($psi$).$ Is it acceptable?

e$.$ The minimum acceptable pin diameter $($inch$,3$ decimal places$)$ of pin C based on

shear stress.

f$.$ The maximum $($allowable$)$ load $)$ that can be applied based on the tensile stress

and $1$ diameter pin.