Problem

In the SharePoint central administration (2010 ou 2013 version), the "New Web Application" button is disabled is the central administration.

Resolution

The resolution of this problem is simple : in your browser, add the central administration URL in the « Intranet Local » zone.
1. In the browser, click on "Tools", then on "Internet Options" (Here on IE 10)
2. Clck on the "Security" tab, select « Local Intranet » then click on « Sites »
3. Verify that the "Automatically detect[...]" option is selected, then click on "Advanced".
4. Click on "Add" to add the URL. Click on "Close".
5.  Validate all window and relaunch IE : the functionality is now available.