When you set up a manual IP address, it doesn't get the Domain Name Servers passed to it. You'll need to set them up manually in the DNS tab of the particular network service (WiFi or Ethernet).
If you can find out what the college is using, you can enter those, or use a free service like OpenDNS or Google.
Open Network System prefs select the network service you are using.
Click the Advanced button.
Click the DNS tab.
Click the Add ( + ) button.
Enter the first address in one of the pairs.
Repeat for the second.
Close that pan and click Apply.
You should now be able to reach the Internet. You might consider creating a Location for your college. That way you can switch between the fixed ip address and DHCP easily. If you select Edit Locations… from the Location popup, you can duplicate your current settings and name it something like college, then, select Automatic and set it back to DHCP. If you use OpenDNS or Google, you can leave those as they won't hurt. With two locations set, there will be a Location item in the Apple menu. So, when you are off-campus, you can select Automatic and use DHCP. When back on-campus, you can choose College and it will switch all the settings for that.
To connect to an smb share, use Connect to server from the Go menu in Finder. For the address, use smb://server/share. In your case, use smb://172.17.0.13
I got the DNS from the computer department and entered them as you explained above. But the problem is still there. Nothing has changed. Also, one thing I should mention here: my computer name and workgroup is the same in Windows and OS X. Could that be causing a conflict at the server ?
Try using one of the other DNS address pairs, also. The college DNS may just resolve its own stuff.
Are you connecting with both Windows and OS X at the same time? If so, that may be an issue, but I doubt it.
I already have the IP address, subnet mask and DNS address from the network admin. I added them manually in the the settings you have mentioned above. These worked in Windows 8, but don't work in OS X. And that is the problem.