SSLSocket documentation mentions shutdown as analogue to socket.shutdown. However, instead of forbidding communication, it removes SSL wrapper from socket. For example, the following script doesn't work and returns garbage:

    import socket
    import ssl

    s = socket.socket()
    s.connect(('google.com', 443))
    client = ssl.wrap_socket(s)
    client.sendall(b'GET / HTTP/1.0\nConnection: close\n\n')
    client.shutdown(socket.SHUT_WR)

    print(repr(client.recv(40)))

Attached patch makes shutdown raise exception if how != SHUT_RDWR, as closing one side of socket over SSL doesn't make sense (unless I'm missing something).