1 (in the 1st person) expressing the future tense (I shall return soon) or (with shall stressed) emphatic intention (I shall have a party).
2 (in the 2nd and 3rd persons) expressing a strong assertion or command rather than a wish (cf. WILL(1)) (you shall not catch me again; they shall go to the party).
Usage:
For the other persons in senses 1, 2 see WILL(1).
3 expressing a command or duty (thou shalt not steal; they shall obey).
4 (in 2nd-person questions) expressing an enquiry, esp. to avoid the form of a request (cf. WILL(1)) (shall you go to France?).
Phrases and idioms:
shall I? do you want me to?
Etymology: OE sceal f. Gmc
Useful english dictionary. 2012.