Figure Q3a shows a simply supported beam AB with support reactions Ra and Rs. Two point loads F1 35 kN and F2 65 kN act at points C and D, respectively. The distance AC is L1 = 2.25 m; the distance CD is L2 = 3.25 m; and the distance DB is L3 = 1.50 m. F2 RA Re L1 12 L3 Figure Q3a a) Calculate the reactions RA and Ra at points A & B. Give your answers in kilonewtons (kN) to two decimal places. b) Draw the shear force diagram (SFD) for the beam in Figure Q3a and clearly label values at points A, B, C & D. Label your values in kilonewtons (kN) to two decimal places. c) Draw the bending moment diagram (BMD) for the beam shown in Figure Q3a and label values at points A, B, C & D. Label your values in kilonewton metres (kNm) to two decimal places.

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An electric hot water heater consumes 3.1 kilowatts of electricity and converts it to heat. How long will it take the water heater to heat a 67 gallon tank of water from 10 degrees Celsius to 50 degrees Celsius? (1 kilogram of water is 0.37 gallons, 1 Calorie = 4200 J).  It may be helpful to refer back to the weekly handout for guidance on this problem. Your final answer should be in minutes (rounded to the nearest 10 minutes).