There's several problems with your code.
First, you seem to be confusing a declaration of what a data type is with actually having a variable. You declare a struct, and from then on it's a data type, much like int or double. Before you assign anything to one, you need to have one. You can get one either by defining one in the function (ALPHA a;) or by allocating memory for one with malloc() or calloc().
To use calloc(), you have two arguments, one being how many whatevers you want, and one being the size of a whatever. For malloc(), you multiply the two. The other difference is that malloc() returns memory with whatever used to be in it, while calloc() initializes everything to zero. (That's zero-length string or integral zeros according to the Standard. Other values are not guaranteed, but with most modern systems you'll get the equivalent of a zero.) These functions return a pointer to the memory allocated.
You seem to want tot ints, so (using calloc()), the correct statement is something like int * a = calloc(tot, sizeof(int));, or int * a = calloc(tot, sizeof(*a));. No cast is required in C (it is required in C++, but you usually wouldn't use malloc() or calloc() in C++), and the only thing it can do is cover up a possible mistake (leaving out #include <stdlib.h> to be specific).
Once you have that, you can refer to the ints as something like a[3].
Putting the result in a field of an ALPHA is doable, but you really do need an ALPHA, so something like
ALPHA a;
a.size = calloc(tot, sizeof(*a));
will work. You would therefore refer to it as a.size[3], for example.
Also, I don't see what name is doing. It's one character, which is not enough for any non-empty string, and I don't know why you've got it in the calloc() call. You might want name to be a dynamically allocated string, with size being its size. In that case, you'd need to change the lines in the declaration of ALPHA to be
int size;
char * name;
and the code might be be
ALPHA a;
fgets(line, 60, fp);
a.size = atoi(line);
a.name = calloc(a.size, sizeof(*a.name));
Once you've done that, after entering 10, you can refer to a.name[0] through a.name[9], and that's your ten characters. a.name[10] would be one past the end. Note that you can only put a nine-character string in a ten-character array, since you need to have room for the null terminator (the '\0' which is the last character of any C-style string). If you want to be able to enter the specified number of characters, you'd want to add 1 to a.size after putting the user-entered number in.