Here's another method:
DECLARE @SQL nvarchar(max);
SELECT @SQL = Coalesce(@SQL + '
', '')
+ 'ALTER TABLE ' + QuoteName(T.TABLE_SCHEMA) + '.' + QuoteName(T.TABLE_NAME)
+ ' ADD CONSTRAINT ' + QuoteName('DF_'
+ CASE WHEN T.TABLE_SCHEMA <> 'dbo' THEN T.Table_Schema + '_' ELSE '' END
+ C.COLUMN_NAME) + ' DEFAULT (GetDate()) FOR ' + QuoteName(C.COLUMN_NAME)
+ ';'
FROM
INFORMATION_SCHEMA.TABLES T
INNER JOIN INFORMATION_SCHEMA.COLUMNS C
ON T.TABLE_SCHEMA = C.TABLE_SCHEMA
AND T.TABLE_NAME = C.TABLE_NAME
WHERE
C.COLUMN_NAME = 'CreatedDt'
;
EXEC (@SQL);
This yields, and runs, a series of statements similar to the following:
ALTER TABLE [schema].[TableName] -- (line break added)
ADD CONSTRAINT [DF_schema_TableName] DEFAULT (GetDate()) FOR [ColumnName];
Some notes:
This uses the INFORMATION_SCHEMA views. It is best practice to use these where possible instead of the system tables because they are guaranteed to not change between versions of SQL Server (and moreover are supported on many DBMSes, so all things being equal it's best to use standards-compliant/portable code).
In a database with a case-sensitive default collation, one MUST use upper case for the INFORMATION_SCHEMA view names and column names.
When creating script it's important to pay attention to schema names and proper escaping (using QuoteName). Not doing so will break in someone's system some day.
I think it is best practice to put the DEFAULT expression inside parentheses. While no error is received without it in this case, with it, if the function GetDate() is parameterized and/or ever changed to a more complex expression, nothing will break.
If you decide that column defaults are not going to work for you, then the triggers you imagined are still possible. But it will take some serious work to manage whether the trigger already exists and alter or create it appropriately, JOIN to the inserted meta-table inside the trigger, and do it based on the full list of primary key columns for the table (if they exist, and if they don't, then you're out of luck). It is quite possible, but extremely difficult--you could end up with nested, nested, nested dynamic SQL. I have such automated object-creating script that contains 13 quote marks in a row...