LSHTM students and staff are able to use resources from Senate House Library. This includes borrowing books, using the study space and accessing electronic reources. All you need to do is take your LSHTM photo id over to the Library Enquiries Desk on the 4th floor and ask to join the Library. They will issue you with a Senate House Library card there and then.
Being a member of the Library allows you to use materials that are not at LSHTM.