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Question: problem 1 20 points a cast iron beam ad with...

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Problem 1 (20 Points). A cast iron beam AD with a 40 mm by 60 mm rectangular cross-section (see the left side of Figure 1) is simply supported at sections B and D as shown in the figure. A mass M- 25.5 kg is suspended from a steel rope at section A (gravity is vertically downward as shown in the figure). Also, a constant vertically downward force F750 N is applied at section C of the beam. g 9.81m/s2 F 750 N 13 60 mm 40 mm 0.5 m 1.5 m Figure 1. A simply supported rectangular cast iron beam (i) Draw the free body diagram, shear force diagram, and bending moment diagram for the beam. Include the important numerical values, such as, the reaction forces at the simple supports B and D, the maximum and minimum shear forces, and the maximum and minimum bending moments. (1) Assuming that the compressive strength of the beam material is greater than the tensile strength, locate the critical section of the beam and the critical element at the critical section. Draw the critical element showing the state of stress on this element. Include the fixed XYZ coordinates. (iii) Determine the maximum normal stress, the minimum normal stress, and the maximum shear stress acting on the critical element of the beam.

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