Problem #$25-$ Shear Stress and Shear Strength $(10$ points, $4$ parts$)$

A W$18\backslash$times $119$ made of ASTM$-$A$514$ structural steel with a yield stress of $100,000$ psi, an allowable shear stress of $40,000$ psi, and $E=29,000,000$ psi is subjected to a maximum shear force of $450$ kips. Complete the following:

Part A $(3$ points$)$: Find the shear stress in the beam using the average web shear approach.

Part B $(2$ points$)$: Does the calculated shear stress exceed the allowable shear stress?

Part C $(3$ points$)$: Calculate the Shear Strength $($VR$)$ in the beam.

Part D $(2$ points$)$: Determine the adequacy of the beam's design in shear by comparing Vmax to VR$.$ Does the shear demand $($Vmax$)$ exceed the beam's shear capacity $($VR$)?$