Archive libraries (.a) are statically linked i.e when you compile your program with -c option in gcc. So, if there’s any change in library, you need to compile and build your code again.
The advantage of .so (shared object) over .a library is that they are linked during the runtime i.e. after creation of your .o file -o option in gcc. So, if there’s any change in .so file, you don’t need to recompile your main program. But make sure that your main program is linked to the new .so file with ln command.
This will help you to build the .so files. http://www.yolinux.com/TUTORIALS/LibraryArchives-StaticAndDynamic.html
Hope this helps.