Q. Why do we not see a shul, beth hamedresh or schools having a zecher lechurban (Remembrance of the Destruction of the Bais Hamikdosh)? Should not these institutions give the example for others to follow?
A. Poskim explain that buildings that are used for a mitzva do not require a zecher lechurban because of their nature and purpose is in itself a rebuilding of the Beis Hamikdosh. Similarly one may play songs and music at a seudas mitzva, such as weddings etc. (Minchas Elozor 3: 66).
However, some are stringent and would place a zecher lechurban even on such structures. Yosef Ometz (892) relates that on the Frankfurt Shul there was such zecher. Likewise, Darkei Chaim Vesholom (682) tells that the Munkatcher Rebbe did the same on his small Beis Hamedresh.
Nonetheless, Poskim write that on other communal buildings such as wedding halls or hotels, a zecher lechurban should be placed. (Piskei Teshuvos (560: 6).
Rabbi A. Bartfeld as advised by Horav Shlomo Miller Shlit’a