Has anyone done a study of people after getting the flu shot and seeing if they are contagious..?

I was wondering if a study is made where people who have just had a flu shot are put in a room with people who have had only a placibo or water shot .. then see if the control group catches the flu from the vaccinated group..

I have had this discussion again.. with someone at work where they insist they feel bad after getting the flu shot and they dont understand its the body creating the antibodies that is causing the reactions... the flu shot is non contagious and cant be transmitted to others because its inactivated..

I was wondering if there has been some study unbiased one done to check the validity of the statement you dont get the flu..

The shot is not live vaccine - it can not cause infection.