Protected members means they can accessible from child classes,
 But the main features of static class are
1.only contain static members.
2.Cann't be instantiate.
3.are sealed.

Protected members can used when we want access of thoese variable in throughout the inherted classes but static class can not be inherited.

Since Static classes are sealed classes, and sealed classes can not be inherited,hence it can not contain protected members, because protected members can not be inherited.