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From Travian v2 Wiki (S2-S6), the encyclopedia anybody can edit

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The cranny is used to hide resources from attacking armies that would otherwise steal them. It is an essential part of the defensive strategy for a player to upgrade a cranny to minimize the amount of resources taken and make themselves a less appealing target for raiding.
NOTE: The amount of resources protected is per resource. This means that if your cranny says it protects 1000 resource, understand that it protects 1000 each of wood/clay/iron/crop.

Gauls have the advantage that the cranny can hold twice as much as the other tribes. The Teutons have the advantage that the enemy cranny is only two thirds as effective as it would be otherwise (a cranny that can hold 1000 units of each resource would appear to a teuton raiding party as only being able to hold 667 units).

A level 10 cranny allows the building of multiple new level 1 crannys which could be increased up to level 10.

Costs and time to build level 1:

 40 |  50 |  30 |  10 |  0 |  ?

Requirements:
none

Level							Culture Points	Total Capacity*	Capacity of Gauls
1	40	50	30	10	?	0	1	100	200
2	50	65	40	15	?	0	1	130	260
3	65	80	50	15	?	0	2	170	340
4	85	105	65	20	?	0	2	220	440
5	105	135	80	25	?	0	2	280	560
6	135	170	105	35	?	1	3	360	720
7	175	220	130	45	?	1	4	460	920
8	225	280	170	55	?	1	4	600	1200
9	290	360	215	70	?	1	5	770	1540
10	370	460	275	90	?	1	6	1000	2000
1-10	1540	1925	1160	380	?	5	6	1000	2000

*The total capacity is the total number of units of each resource type the cranny can hide.

Tribe advantages:
Gauls: the cranny is twice as big
Teutons: enemy crannies will only preserve 66% of the hidden resources.

Construction Times

Construction Period Based on Main Building (MB) Level - Levels 1-10

Cranny Level	MB Level 1	MB Level 2	MB Level 3	MB Level 4	MB Level 5	MB Level 6	MB Level 7	MB Level 8	MB Level 9	MB Level 10
1	0:12:30	0:12:00	0:11:37	0:11:15	0:10:45	0:10:22	0:10:00	0:09:37	0:09:22	0:09:00
2	0:19:30	?	0:18:10	0:17:30	0:16:50	0:16:10	?	0:15:10	?	0:14:00
3	0:27:40	0:26:40	?	0:24:40	0:23:50	0:23:00	?	?	0:20:40	0:19:50
4	0:37:00	?	0:44:30	?	0:32:00	0:30:50	0:29:40	?	?	0:26:40
5	0:48:00	?	?	?	0:41:30	0:40:00	0:38:30	?	?	0:34:30
6	1:00:40	?	0:56:20	0:54:20	0:52:20	0:50:30	0:48:40	0:46:50	?	0:43:40
7	1:15:20	?	1:10:00	?	1:05:00	1:02:40	1:00:30	0:58:20	0:56:10	0:54:10
8	1:32:20	?	1:25:50	?	1:19:50	1:17:00	?	1:11:30	1:08:50	1:06:30
9	1:52:10	1:48:10	1:44:10	1:40:30	1:36:50	1:33:20	1:30:00	1:26:50	1:23:40	1:20:40
10	2:15:10	2:10:20	2:05:30	2:01:00	1:56:40	1:52:30	1:48:30	1:44:30	1:40:50	1:37:10

Construction Period Based on Main Building (MB) Level - Levels 11-20

Cranny Level	MB Level 11	MB Level 12	MB Level 13	MB Level 14	MB Level 15	MB Level 16	MB Level 17	MB Level 18	MB Level 19	MB Level 20
1	0:08:37	0:08:22	0:08:00	0:07:45	0:07:30	0:07:15	0:07:00	0:06:45	0:06:30	0:06:15
2	0:13:30	0:13:00	0:12:30	?	0:11:40	0:11:20	0:10:50	?	?	?
3	0:19:10	0:18:30	0:17:50	?	0:16:30	0:16:00	?	?	?	?
4	?	0:24:40	0:23:50	?	0:22:10	0:21:20	?	?	?	0:18:30
5	0:48:00	0:32:00	0:30:50	?	0:28:40	0:27:40	?	?	0:24:50	?
6	0:42:00	0:40:30	0:39:00	?	0:36:20	0:35:00	?	?	?	?
7	0:52:10	0:50:20	0:48:30	0:46:50	0:45:10	0:43:30	0:41:50	?	?	0:37:30
8	1:04:00	1:01:40	0:59:30	?	0:55:20	0:53:20	0:51:20	?	?	0:46:00
9	1:17:40	1:15:00	1:12:20	?	1:07:10	1:04:40	1:02:20	?	?	0:55:50
10	1:33:40	1:30:20	1:27:00	?	1:20:50	1:18:00	1:15:10	?	?	1:07:20