1. 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. (ii) Determine from first principles the reaction at the supports. (iii) Sketch the deflected shape. (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 Fig.Q1 5.20m 11kN/m [3 marks] [10 marks] [2 marks] 50KN -*150KN