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3.) (21 marks) A simply supported beam ACDB is subjected to the loads shown below. The reaction forces at A and B are 76 kN and 52 kN, respectively. The cross-sectional area of the beam is also shown below. (8) Use the graphical method to calculate the significant values of the shear force and bending moment along the beam (i.e. at A, B, C, D and where the moment is maximum), then draw the shear and bending moment diagrams on the axes provided on the next page or your own paper. Show your calculation, not only the diagrams. Note: The development of equations of V(x) and M(x) is NOT required unless it is required to calculate the area under the curve. Also, the calculation of intermediate values of Y and M at a sufficient number of points in each section so as to accurately draw the V(x) and M(x) diagrams is NOT required. (b) Determine the absolute maximum moment and its location. (c) Calculate the moment of inertia of the cross-section. The moment of inertia for a rectangular cross-section with respect to its centroidal axis, x-axis, (1x) is where b base and hheight, (d) Determine the absolute maximum normal stress of this beam (show the magnitude and indicate whether it is tensile or compressive). 12 80 kN/m 200 mm MA60 kN.m M-12 kN.m 25 mm D 25 mm 150 mm 1.2 m 25 mm + 1.6 m 1.2 m 100 mm 76 KN 52 KN