$6\mathrm{.}4$ Figure $6\mathrm{.}19$ shows a uniformly loaded cantilever beam with the depth linearly

tapered along the span. The dead load, including self$-$weight of the beam is

$20k\frac{N}{m}$ and the live load is $50k\frac{N}{m}.$ Design the shear reinforcement using

vertical stirrups. The bar cut$-$off details are as shown. Assume M $20$ concrete

and Fe $415$ steel.

SECTION AT SUPPORT

Fig. $6\mathrm{.}19$ Problem $6\mathrm{.}4$