code: public static function findPublishedByPid($intPid, array $arrOptions=array())
  	{
  		$t = static::$strTable;
  		$arrColumns = array("$t.pid=?");
  
  		if (!static::isPreviewMode($arrOptions))
  		{
  			$time = Date::floorToMinute();
  			$arrColumns[] = "($t.start='' OR $t.start<='$time') AND ($t.stop='' OR $t.stop>'" . ($time + 60) . "') AND $t.published='1'";
  		}
  
  		return static::findBy($arrColumns, $intPid, $arrOptions);
  	}
docs: Find published pages by their PID
  
  @param integer $intPid     The parent ID
  @param array   $arrOptions An optional options array
  
  @return Collection|PageModel[]|PageModel|null A collection of models or null if there are no pages