SELECT *
FROM TableA AS A
JOIN TableB AS B
ON A.TTime BETWEEN B.DateTimeStart AND B.DateTimeEnd
Be aware that BETWEEN is inclusive, meaning that it will return true if A.TTime is the same as either B.StartDateTime or B.EndDateTime. If you want to get just the ones that truly fall between start and end you should use greater than > and less than < operators.
You should also be aware of accuracy on SQL Server, per MSDN, DateTime is
Rounded to increments of .000, .003, or .007 seconds
Running the following queries can help illustrate:
DECLARE @StartTime DATETIME = '2016-01-01 00:00:00.000',
@TestTime DATETIME = '2016-01-01 08:00:00.008', -- rounds down to .007
@EndTime1 DATETIME = '2016-01-01 08:00:00.007', -- stays the same
@EndTime2 DATETIME = '2016-01-01 08:00:00.006'; -- rounds up to .007
SELECT 'Eh? What just happened?'
WHERE @TestTime BETWEEN @Starttime AND @EndTime1;
SELECT 'What is going on!'
WHERE @TestTime BETWEEN @Starttime AND @EndTime2;