What will be changing the source of the iframe? If you have access to that code then you can do whatever is in your onload function then.
If a link has it's target attribute set to the iframe and that is how the source is changing then you can hi-jack the link clicks:
$('a[target="frameB"]').bind('click', function () {
//run your onload code here, it will run as the iframe is downloading the new content
});
Also, just a side-note, you can bind an event handler for the load event in jQuery like this:
$('#frameB').bind('load', function () {
//run onload code here
});
UPDATE
SITE -> frameB -> frameA
$("#frameB").contents().find("#frameA").bind('load', function () {
//load code here
});
This selects the #frameB element (that is in the current top level DOM), gets it's contents, finds the #frameA element, and then binds an event handler for the load event.
Note that this code must be run after #frameB is loaded with the #frameA element already present in it's DOM. Something like this might be a good idea:
$('#frameB').bind('load', function () {
$(this).contents().find('#frameA').bind('load', function () {
//run load code here
});
});
UPDATE
To hi-jack links in the #frameB element:
$('#frameB').contents().find('a[target="frameA"]').bind('click', function () {
/*run your code here*/
});
This will find any link in the #frameB element that has its target attribute set to frameA and add a click event handler.
And again, this will only work if the #frameB iframe element has loaded (or atleast gotten to the document.ready event) so you can select it's elements.