Q$1-$ Determine the maximum eccentricity allowed $($e$)$ in inches if no torsional reinforcing is required. $f{c}^{\text{'}}=4000$ psi, $fy=60,000$ psi, and normal$-$weight concrete. Assume that the torsion equals the uniform load times the eccentricity and the torsion value varies from a maximum at the support to $0$ at the beam center$-$line as does the shear. Span length is $12ft.$

cover $=1\mathrm{.}5$