It's obvious it's not any router-firewall related problem as you are under the same net, so there are only three possibilities:
- There's nothing listening on that port on that IP
- There's a local firewall on that machine that is blocking that connection attempt
- You are not using WIFI so you're not under the same net.
Can you open that URL from your browser in your computer manually? If yes, I'd suggest using some debugging tool to trace TCP packets (I don't know either what kind of operating system you use on the destination machine; if it's some linux distribution, tcpdump
might help).
All that assuming you have the android.permission.INTERNET
permission in your AndroidManifest.xml file.