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PAGE 5 ME2112 QUESTION 2 (TOTAL: 25 MARKS) The simply supported beam AB carries a distributed load with a linearly varying intensity from O

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PAGE 5 ME2112 QUESTION 2 (TOTAL: 25 MARKS) The simply supported beam AB carries a distributed load with a linearly varying intensity from O at A to 6 kN/m at E and a concentrated load of 6 kN at point D, as shown in Figure Q2(a). The beam has the cross section shown in Figure Q2(b). (a) (b) Write down the load intensity, shear force and bending moment equations for the beam using singularity functions. Draw the shear force and bending moment diagrams for the beam. (12 marks) Determine the principal stresses O, 02 and the maximum shear stress max at point G in the cross section of the beam, located at F, 1 m left of the point D. Point G is 40 mm from the top of the beam. (8 marks) (c) Determine the maximum shear and bending stresses in the beam. (0) Jarras (5 marks) A 3 m 6 kN/m 6 kN bi staluate av F E 1 m DA OB x noitude daje:2 1.5 m 1.5 m Figure 120 mm a G Z < 20 mm 40 mm a C 120 mm 120 mm Figure Q2(b) 20 mm

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