Until you correct me, I will assume your question deals with Barricades that block certain choke-points of a street with objects that are so massive that a company of soldier can not ignore it. I personally have not seen a lot of barricades like that. I will take the liberty to assume you are referring to what is seen in the game Total War Attila, due to the nature of your past questions which deal with elements found within the Total War series.
In the Norwegian didactic text, the King's Mirror, which deals with the education of a mid 13th century prince, when on the notion of siege warfare, the notion of a barricade, as I've defined above, isn't directly mentioned. There are however a number of references which deals with fortifying a position with auxiliary objects. In the Saga of Haakon Haakonson, we also have an account of a barricade used by some Swedish peasants to slow down the Norwegian king and his army as they march on a road.
In the King's Mirror, XXXIX, we see that all the classic siege equipment of trebuchet, battering ram, siege tower and ladders were mentioned on behalf of the attacker. The defender had to use a number of methods to counter act the aggressor. There are many components mentioned, but this in particular deals with how the stone wall would be reinforced to withstand trebuchet and battering ram. This may give insight into the resources that defenders might have used to build a potential barricade.
it is well to strengthen the entire stone wall on the inside with large oaken timbers; though if earth and clay are plentiful, these materials had better be used. Those who have to defend castles are also in the habit of making curtains of large oak boughs, three or even five deep, to cover the entire wall; and the curtain should be thoroughly plastered with good sticky clay.
In the Saga of Haakon Haakonsson, ch 115, there is an account in the winter of 1225 of a barricade (braate) in the middle of the road. This would consist logs of timber hewed from the surrounding forest. It was set up by the defending Swedish peasantry to halt the incoming Norwegian army and to allow the peasantry time to escape their farms and seek refuge into the hills. The Norweigan king sent a company of 120 horsemen/archers to clear the barricade while the main army was waiting behind. When they arrived at the barricade, only a few Swedes were there, whom quickly fled the field. The Norweigan scouting company had brought wood cutting axes which they used to clear the logs. The king and his Hirdmen would stand close by on guard in case there was an ambush.
It is then described that the retinue and scouts would quickly get past the barricade, while the horses were carefully lead over the barricade. This barricade may perhaps been very large, because confusion erupted between the men on each side of the barricade. The men who had jet to pass the barricade thought the king was fighting with the Swedes on the other side, so large part of the army quickly rushed over the barricade to assist the king, and thereby breaking some of the infantry sleds used by the army. Also on the other side, the king also thought there was fighting going on due to the noise of the army rushing over. There were no Swedes there, but the confusion may suggest size of the barricade was substantial enough to cause confusion.
