This module provides a site administrator the ability to log users out after a specified time of inactivity.
It is highly customisable and includes "site policies" by role to enforce logout.

Try it out on Simplytest.me

Features

Different timeouts based on role
Disabling of timeouts based on role
Permission for users to set their own timeout
Includes some JS mechanisms to keep uses logged in even if multiple tabs are open or if the user is working on a form for a long period of time.
Includes developer hooks to allow users to remain logged in depending on your own project specific requirements
Optional integration with Javascript Timer

Old Versions

The 7.x-5.x branch was discontinued. Only use the 7.x-4.x branch releases for Drupal 7.

Recommended modules

Session Limit - For limiting the maximum number of logged in sessions a user can have.
Password Policy - For enforcing password length, complexity and renewal.

More information

Checkout this blog post from Lullabot Module Monday: Auto Logout

RTBC issues for Automated Logout

Filters