Problem #$24-$ Bending Stress and Moment Strength $(10$ points total. $5$ parts$)$ of Elasticity, $E=29,000,000$ psi is subjected to a maximum bending moment of $1200k-ft.$ Determine the following:

Part A $(2$ points$)$: Find the bending stress in the beam.

Part B $(2$ points$)$: Find the allowable stress by applying a factor of safety of $1\mathrm{.}67$ to the yield stress.

Part C $(2$ points$)$; Does the calculated bending stress exceed the allowable stress?

Part D $(2$ points$)$: Calculate the Moment Strength $($MR$)$ in the beam.

Part E $(2$ points$)$; Determine the adequacy of the beam's design in bending by comparing Mmax to MR$.$ Does the demand $($Mmax$)$ exceed the beam's moment capacity $($MR$)?$