Mac OS X machine can’t reach other servers on the LAN

I know this question is old, but I just had a similar problem where I couldn't ping or connect in any way from my MacBook to any devices on network despite internet working fine on all devices meaning they are all connected to the same wifi router and all devices had been restarted.

The solution was: restart the wifi router!

If I understand well what you said, your Mac (IP 192.168.0.11) can’t ping another server on the same subnet (192.168.0.13).

In this case, the route is unused as the destination IP is in the same subnet. You may have an ARP cache issue. You could try to flush the ARP entry for 192.168.0.13 with sudo arp -d 192.168.0.13 command and try again to ping 192.168.0.13.