Here is a simple class that allows you to transfer files via WebDAV.

Inside it uses:

• CFNetwork for HTTP/HTTPS connections.
• Streams for reading and writing files.
• NSXMLParser for parsing WebDAV responses.

Known Issues and Future plans:

• At the moment it doesn't provide anything unrelated to file transferring.
• It doesn't support resuming upload/download and timeout handling yet, but I'm working on this.
• No documentation yet, and not many comments in the code. However, there is a simple example for the iPhone platform.