Problem $3$

Refer to figure RC$-3.$ The girder is subjected to torsional moment from the loads on the cantilever frame. The following factored forces are computed from this beam:

Factored moment, $M_u=300kN-m$

Factored shear, $,V_u=247kN$

Factored torque, $T_u=40kN-m$

The girder has a width of $400mm$ and an overall depth of $500mm.$ Concrete cover is $40mm.$ The centroid of longitudinal bars of the girder are placed $65mm$ from the extreme concrete fibers. Concrete strength $P_C=20\mathrm{.}7$MPa and steel yield strength for longitudinal hars is $f_y=415$MPa. Use $12mm$ stirrups with $f_{yt}=275$MPa.

Determine the spacing $(mm)$ of transverse reinforcement due to $V_u$ alone. Apply provision on spacing limit$.138\mathrm{.}94mm$

Determine the spacing $(mm)$ of transverse reinforcement due to Tu alone.