The plane couldn't take off because of the storm.

Literal

Storm [because-of-に-ために] airplane [topic-は] take-off-could-not.

のために (the longer form of のため) is interchangeable with のため in this causal sense, though のために slightly emphasizes the causal link. 離陸 ('takeoff') is a formal aviation term; paired with 着陸 ('landing') as the standard vocabulary set for flight operations.