Hi,
You said that your product have dimensions, but does your product have weight ?
How did you configured your shipping method ?
Does the shipping method published ?
Does the shipping method have restriction ?
Do you have the "shipping" action in your checkout workflow ?
Do you have Joomla system message displayed in your website (to see if the plugin gave you errors) ? (see FAQ for that).
etc...
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.