USING THE IMAGE PROVIDED ANSWER THE QUESTION WITH DETAILED CALCULATIONS AND EQUATIONS SHOWN ON PAPER PROVIDE DETAILED AND CORRECT ANSWER Statically Indeterminate Design $(5$ points$)$: Consider the statically indeterminate structure shown below, which is composed of a horizontal beam and a

vertical column. The left end of the column is fixed, the bottom of the beam is pin$-$connected, and the two are connected with a pin connection. The

structure is to be manufactured from a single size of pipe, with a wall thickness of $12mm,$ yield strength of $250$ MPa, and elastic modulus of $200$ GPa.

Identify the outer radius of the pipe necessary to ensure a FOS of $2\mathrm{.}0$ with respect to axial yielding, flexural yielding, and buckling.