QUESTION $(1)[20$ Marks CLO $5]$:

The $8\mathrm{.}0m$ span beam carries uniformly distributed dead of $40k\frac{N}{m}$ and a concentrated live load of $100kN,$ as shown in the figure $($neglect its own weight$).$ The beam has an effective depth of $640mm.$ Assume $f_c^{\text{'}}=21$ MPa and $f_y=420$ MPa. Find the followings:

Find the applied shear force at the critical section;

Design the critical section for shear using # $10$ U$-$shaped stirrups;

Provide a sketch showing details of steel reinforcement on cross$-$section;

Redesign the beam using # $8U-$shapedstirrups,andcommentoftheresults.

Solve using American Method $($ACI$)$