A simply supported beam 6m long supported at A, 1 m from the left-hand end and point B, 2m from the right-hand end, carries loads of 800N at the left-hand end, 500N between the supports and 400N at the right-hand end. a) Determine the magnitudes of the support reactions at A and B. [8 marks] b) If an extra load of 350N is to be added to the beam in such a position that the reactions at A and B are to be equal, what will these reactions then be, and at what distance from A must the 350N load be situated? [7 marks]​