Problem $1$

A $35$ in by $40$ in reinforced concrete beam has longi$-$

tudinal and torsional reinforcement with a yield stress

of $40,000lb\frac{f}{i}{n}^2.$ The compressive strength of the con$-$

crete is $4000lb\frac{f}{i}{n}^2.$ The nominal shear strength of the

concrete is $168\mathrm{.}2$ kips. The area enclosed by the outside

perimeter of concrete is $1400i{n}^2.$ The outside perimeter

of concrete cross section is $150$ in $.$

The torsion and shear diagrams are as shown.

What is the maximum spacing of the no$.5$ stirrups

shown at the point of maximum torsion?