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The simply supported beam AE carries a uniformly distributed load with an intensity of 20 kN/m from A to B, and a concentrated load

  


The simply supported beam AE carries a uniformly distributed load with an intensity of 20 kN/m from A to B, and a concentrated load of 10 kN at point D, as shown in Figure Q2(a). The beam has the cross section shown in Figure Q2(b). (a) 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) (b) Determine the principal stresses , 2 and the maximum shear stress max at point G in the cross section of the beam, located at F, 0.5 m left of the support E. Point G is 35 mm from the top of the beam. (c) Determine the maximum shear and bending stresses in the beam. (8 marks) (5 marks) 20 kN/m 1.2 m B 1 m Figure Q2(a) 35 mm G a N 10 kN 0.5 m ID F OE x m C 80 mm 40 mm 25 mm 25 mm Figure Q2(b) 25 mm

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