Analyse a three span continuous beam with equal span $L,$ subjected to a uniformly distributed load w per unit length, to determine the critical positive moments M$1($in the end span$)$ and M$2($in the interior span$)$ as well as negative moments M$3$ at the continuous support. Assume that the dead load $($Wd$)$ and live load $($WL$)$ components of total load are equal. Also assume all spans to have the same cross section. Compare the moments obtained by

$($i$)$ Elastic analysis considering 'pattern loading'

$($ii$)$ Codal provisions