Need JQuery to select the table only if its 1st row has more than 1 column

I need to select and act on a table element using JQuery, but only if it contains at least one row with multiple columns. The following selector works, but only part of it gets me:

$('#my_table_is:has(tbody tr)').doSomething();

      

        
        
        
      

    

Variations I've tried without success:

$('#my_table_id:has(tbody > tr > td:eq(1))').doSomething();
$('#my_table_id:has(tbody tr:nth-child(1))').doSomething();
$('#my_table_id:has(td:eq(1))').doSomething();    

      

        
        
        
      

    

What combination of selector and filter will do the job?

By the way, the reason I need this is because a tablesorter with a multi-column sorter seems to blow up when only 1 column is outputted in the table.