Intermittent Login Issues with Windows Authentication
SSPI handshake failed with error code 0x80090311, state 14 while establishing a connection with integrated security; the connection has been closed. Reason: AcceptSecurityContext failed. The Windows error code indicates the cause of failure. No authority could be contacted for authentication.


If you cut up the HRESULT listed, as the error indicates, it maps to:
SEC_E_NO_AUTHENTICATING_AUTHORITY

FAILURE (1), FACILITY_SSPI (0x9), Code 0x311


  Failure Information: Failure Reason: An Error occured during Logon. Status: 0xC000005E Sub Status: 0x0


If you cut up the HRESULT listed in this one, it maps to: STATUS_NO_LOGON_SERVERS

Both of these error are fairly indicative that the domain controllers and infrastructure around them should be investigated. Additionally if it's a single server having the issue, look at recent patches or group policy items that have been pushed, recently, especially due to OU changes or membership changes. If others on the same network are having issues, network hardware or improper domain controller resources might be an issue.