|Your question is not very clear.|
Are the computers connected to the D-Link switch trying to ping each other, or another computer that's not connected to the D-Link?
Have you checked to ensure the computers you're attempting to ping have their firewall either shut off, or set to respond to ICMP requests?
Are you sure you're trying to ping the correct address(es)?
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.