Problem $4$

Refer to RC$-02$ for simplified calculation for shear.

Given: Column diameter, $D=600mm$

Longitudinal steel, $A_{st}=8x28mm$ bars $\frac{w}{f_y}=415$MPa

Lateral ties, $12mm$ with $f_{yt}=275$MPa

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

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

Factored axial compression force $=3,000kN$

What is the shear stress area of concrete, in $m{m}^2?$ Ans: $288,000m{m}^2$

What is the design shear strength of the concrete along the $x-$

direction, in $kN.$ Answer$=338\mathrm{.}50kN$

What is the design shear strength of ties, in $kN,$ if the spacing of the

ties is $75mm.$ Answer$=298\mathrm{.}57kN$