Yes, there is a tariff of about 85YTL per day for overstaying a Tourist Visa. However, a number of people on various forums have posted about being fined and, like most things in Turkey, it depends completely on how lucky you are on the day. Some have gotten away with paying nothing and others have been fined far more than the tariff figures.
Similarly, if you don't renew your Residence Permit within the 14 day grace period and you overstay, you are subject to a fine roughly equivalent to twice the monthly fee for each month or part month, plus a percentage, less a discount for paying in cash.