Nice question. A lot of the answers here had a solution directly contradicting what you were asking
"I know how to use jQuery to assign width, height, etc. to an element, but what I'm trying to do is actually change the value defined in the stylesheet so that the dynamically-created value can be assigned to multiple elements.
"
jQuery .css
styles elements inline: it doesn't change the physical CSS rule! If you want to do this, I would suggest using a vanilla JavaScript solution:
document.styleSheets[0].cssRules[0].cssText = "\
#myID {
myRule: myValue;
myOtherRule: myOtherValue;
}";
This way, you're setting the stylesheet css rule, not appending an inline style.
Hope this helps!