A W$18$x$35$ A$992$ section is used for $20ft$ span simply supported beam carrying a concentrated load at its mid$-$span, dead load $=8$kip and live load $=24$kip. The compression flange has lateral support at the ends and at the mid$-$span.

$($i$)$ Che

ck to see if the given section is adequate for flexure and shear. Answers: Required

flexure and shear strengths $=\{240$kip$-ft,24$kip$\}.$ Available strengths kip$\}.$

$($ii$)$ Assuming a practical minimum bearing length of $3$ inch determine if any bearing stiffen$-$

ers are required. Answers: No bearing stiffeners required. Local strengths at the ends $($webyielding$,$ crippling, sidesway buckling

Please provide solution