Problem $5$

Refer to RC$-05$ simplified calculation for shear and FIGURE$-2.$

Data of a concrete column are as follows :

Dimensions, $bh=450mm600mm$

$A_{st}=16-25mm$ bars with $f_y=415$MPa

Lateral ties $=12mm$ spaced at $100$ mm on centers

Effective cover to centroid of vertical

steel bars on each side $=65mm$

Concrete $($normal$-$weight$),f_c^{\text{'}}=27\mathrm{.}5$MPa with $=1\mathrm{.}0$

Lateral ties, $f_{yt}=275$MPa

Shear strength reduction factor $=0\mathrm{.}75$

Factored axial compression force, $N_{}=3560KN$

Determine the shear capacity of the concrete, $Vc(KN),$ along the $y$ axis.

Determine the shear capacity of the concrete, Vc $($KN$),$ along the $x$ axis.

Determine the shear capacity of the tie reinforcements, Vs $($KN$),$ along the $x-$axis.