Figure Q1 shows a continuous beam with an intermediate support and an internal pin. The beam is subjected to the external loads as shown. (i) Draw the free body diagram. [3 marks] [10 marks] (ii) Determine from first principles the reaction at the supports. (iii) Sketch the deflected shape. [2 marks] (iv) Calculate and sketch the distribution of the shear force and the bending moment. Locate the point(s) of contraflexture. [16 marks] 0.75m 4.20m 30kN/m 4.00m 6.50m 7.75m 5.5m 75kN 9.95m Pin 120KN 12.90m 75kN 2.50m 5.20m 11kN/m 50KN 60 -*150KN