You can't just decide to use a domain name as a "shortcut" to an IP address, even is the IP is a local address - that would allow phishers to "divert" requests to your bank for example to a "local copy" of the bank login screen and harvest a whole companies worth of bank access details.
In order to use a domain name, you have to go through the process of registering the name, and then that must be assigned to the appropriate name server (which links it to the server IP address) which will "Publish" it to the various DNS out there that the client will use to translate it back to an IP and fetch the web page.
Within an intranet, you can access the page via the computername:
http://computername/myPage.aspx
provided you configure IIS to do that:
http://social.technet.microsoft.com/wiki/contents/articles/2011.configure-iis-to-host-a-simple-intranet-website.aspx[
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