See Creating a shared and static library with the gnu compiler [gcc]
gcc -c -o out.o out.c
-c
means to create an intermediary object file, rather than an executable.
ar rcs libout.a out.o
This creates the static library. r
means to insert with replacement, c
means to create a new archive, and s
means to write an index. As always, see the man page for more info.