A structural frame for a building, comprising: adjacent first and second columns; at least one precast concrete floor slab having first and second corner indents located in two adjacent corners and a first elongated edge beam defined between the first and second corner indents, the first elongated edge beam being disposed between the first and second columns such that the first and second columns are received in the first and second corner indents and that the first elongated edge beam abuts the first and second columns; and a first tendon assembly extending between the first and second columns and adapted to be tensioned to compress the first elongated edge beam between the first and second columns, the first tendon assembly including at least one left cable and at least one right cable located symmetrically on either sides of a vertical center plane of the first and second columns.