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Question 4: Indeterminate Beam Design and Deflection A 2014-T6 aluminium cantilever beam is rigidly fixed to a wall and supported at the free end with a roller support, shown below. The beam is loaded with a distributed load, W, of 10kN/m and a point load, P of 55kN. Both the distributed load and the point load act in the direction shown in the image below. Note, the parameter DE is related to your student number as described on the first page of this 10011 1.0m The material propertiesfor 2014-T6 aluminium are: Symbol Value 79.00 414.0 172.0 Units GPa MPa MPa alow You are a consultant engineer tasked with evaluating the beam. To do this you must a) Solve for the reaction force at roller support using either: -the moment area method or the integration method. Whichever method you prefer b) c) d) Construct the shear force and bending moment diagrams. Identify the maximum bending moment and shear force. Check that the beam can support the applied loading (check that the maximum bending and (3 marks) (1 mark) (1 mark) shear stresses are less than the allowable) (2 marks) e) Calculate the deflection of the beam at point B (under the applied load, P) using the moment area method (2 marks) f Comment on your answers to d and e. Is the beam over/under designed? What modification would you suggest to more efficiently design the beam? If you modify the beam, comment on how your suggested changes will influence the bending stress, shear stress and (1 mark)

DE = 29

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